Week

I want to draw the Hopf fibration. In the Hopf fibration, each point on a sphere is mapped to a 4D spherical circle. We can elliptically (Mobiusly) transform the points on the 2sphere to produce beautiful geometric transformations when we stereographically project the 3sphere into R3. I think I could get it if I already had the map from the point to the circle on the 3sphere in R4. So that's my question. I want to know how I can obtain the stereographic projection of a spherical circle in R4 to R3, based on a point on a 2sphere in R3. Here is an MWE of a sphere: % Source - https://tex.stackexchange.com/a/735942 % Posted by Jasper Habicht, modified by community. See post 'Timeline' for change history % Retrieved 2026-05-03, License - CC BY-SA 4.0 \documentclass[border=10pt]{standalone} \usepackage{tikz, tikz-3dplot} \begin{document} \def\myr{3} \tdplotsetmaincoords{65}{125} \begin{tikzpicture} \coordinate (O) (0,0); \draw[thick, ball color=cyan!50!blue, opacity=0.5, draw opacity=1] (O) circle[radius={\myr}]; \node[right] at (O) {$O$}; \begin{scope}[tdplot_main_coords, rotate=-10] \begin{scope}[canvas is xy plane at z=0] % Back half circle (dashed) \draw[dashed] (\tdplotmainphi:\myr) arc[start angle={\tdplotmainphi}, end angle={\tdplotmainphi+180}, radius={\myr}] coordinate (R); % Front half circle (solid) + BL \draw[thick] (\tdplotmainphi:\myr) arc[start angle={\tdplotmainphi}, end angle={\tdplotmainphi-180}, radius={\myr}] coordinate (L); \fill (O) circle[radius={2pt}]; \end{scope} \begin{scope}[canvas is xy plane at z={\myr+0.75}] \draw[-stealth] (\tdplotmainphi:0.5) arc[start angle={\tdplotmainphi}, end angle={\tdplotmainphi+300}, radius={0.5}]; \end{scope} \begin{scope}[canvas is xy plane at z={\myr}] \fill (0,0) circle[radius={2pt}]; \end{scope} \begin{scope}[canvas is xy plane at z={-\myr}] \fill (0,0) circle[radius={2pt}]; \end{scope} \begin{scope}[canvas is yz plane at x=0] \draw[dashed] (\tdplotmainphi:\myr) arc[start angle={\tdplotmainphi}, end angle={\tdplotmainphi+180}, radius={\myr}]; \draw[thick] (\tdplotmainphi:\myr) arc[start angle={\tdplotmainphi}, end angle={\tdplotmainphi-180}, radius={\myr}]; \end{scope} \begin{scope}[canvas is xz plane at y=0] \draw[dashed] (\tdplotmainphi:\myr) arc[start angle={\tdplotmainphi}, end angle={\tdplotmainphi+180}, radius={\myr}]; \draw[thick] (\tdplotmainphi:\myr) arc[start angle={\tdplotmainphi}, end angle={\tdplotmainphi-180}, radius={\myr}]; % Axis \draw[dashed] (0,{\myr}) -- (0,{-\myr}); \draw (0,{\myr}) -- (0,{\myr+1.25}) (0,{-\myr}) -- (0,{-\myr-1.25}); \end{scope} \end{scope} \draw (O) -- (R) node[pos=0.25, above] {$r$}; \end{tikzpicture} \end{document} https://philogb.github.io/page/hopf/# https://en.wikipedia.org/wiki/Hopf_fibration

Deformed and undeformed configurations of the beam Hello everyone, I am trying to reproduce this image using LaTeX TikZ. I have written the code below, but I am encountering difficulties when drawing the curved line through the thickness (the yellow line). Any suggestions would be greatly appreciated. \documentclass[tikz,border=5mm]{standalone} \usepackage{tikz} \usetikzlibrary{arrows.meta, decorations.pathmorphing, positioning, calc} \begin{document} \begin{tikzpicture}[>=Stealth, scale=1.5] % Styles \tikzset{ zigzag/.style={decoration={zigzag, segment length=2mm, amplitude=1mm}, decorate}, break/.style={decoration={zigzag, segment length=4mm, amplitude=2mm}, decorate}, dot/.style={circle, fill=black, inner sep=1.2pt}, hollowdot/.style={circle, draw=black, fill=white, inner sep=1.2pt} } % --- Undeformed Beam (Top Part) --- \begin{scope}[shift={(0,2.5)}] % Beam edges \draw (-1.5, 0.4) -- (2, 0.4); \draw (-1.5, -0.4) -- (2, -0.4); \draw [zigzag] (-1.5, -0.4) -- (-1.5, 0.4); \draw [zigzag] (2, -0.4) -- (2, 0.4); % Neutral axis \draw [dotted, thick] (-1.5, 0) -- (2.5, 0) node[right] {$x, u$}; \draw [->] (2.3, 0) -- (2.7, 0); % Center vertical line and z-axis indicator \draw (0, 0.4) -- (0, -0.4); \node [hollowdot] at (0,0) {}; \draw [->] (0.2, 0) -- (0.2, -0.3); \node [right, font=\small] at (0.2, -0.15) {$z$}; % Left coordinate system and x-dimension \draw (-2.8, 0) -- (-2.3, 0); \draw [break] (-2.3, 0) -- (-1.9, 0); \draw (-1.9, 0) -- (-1.5, 0); \draw (-2.8, 0) -- (-2.8, -0.8) node[below, font=\small] {$z, w$}; \draw [->] (-2.8, -0.6) -- (-2.8, -1); \draw [->] (-2.8, -0.6) -- (0, -0.6); \node [fill=white, inner sep=1pt, font=\small] at (-1.4, -0.6) {$x$}; % Vertical reference line extending down \draw [thin, gray!60] (0, -0.4) -- (0, -3.5); \end{scope} % --- Deformed Beam (Bottom Part) --- \begin{scope}[shift={(0,1)}] % Curved beam boundaries \draw (-1.5, 0.4) to[bend right=15] (2, 0.4); \draw (-1.5, -0.4) to[bend right=15] (2, -0.4); \draw [zigzag] (-1.5, -0.4) -- (-1.5, 0.4); \draw [zigzag] (2, -0.4) -- (2, 0.4); \draw [dashed] (-1.8, 0) to[bend right=15] (2.3, 0); % Reference point (u0, w0) on the neutral axis \coordinate (P0) at (0.8, -0.30); \node [hollowdot] at (P0) {}; \node [below right, xshift=50pt, yshift=-20pt, font=\small] (L0) {$(u_0, w_0)$}; \draw [->, shorten >=2pt] (L0.west) -- (P0); % Vertical dashed reference line through P0 %\draw [red,dashed] ($(P0) + (0, 1.2)$) -- ($(P0) + (0, -0.5)$); \draw [red,dashed] (P0) -- ($(P0) + (115:1.0)$); % Deformed cross-section line \draw [yellow,thick] ($(P0) + (-0.3, 0.6)$) to[bend left=25] ($(P0) + (0.1, -0.6)$); % Point (u, w) on the cross-section \coordinate (P) at ($(P0) + (-0.01, -0.25)$); \node [dot] at (P) {}; \node [left, xshift=-2pt, yshift=2pt, font=\small] at (P) {$(u, w)$}; % Rotation angles at the top % Angle phi_x (rotation of the cross-section) \draw [->] ($(P0) + (0, 0.8)$) arc (90:115:0.8); \node [left, font=\small] at ($(P0) + (105:0.9)$) {$\phi_x$}; % Angle -dw0/dx (rotation of the normal) \draw [->] ($(P0) + (0, 0.8)$) arc (95:90:0.8); \node [right, xshift=6pt, font=\small] at ($(P0) + (80:0.8)$) {$-\frac{\partial w_0}{\partial x}$}; \draw [green,dashed] (P0) -- ($(P0) + (90:1.2)$); % Slope angle at the neutral axis \draw [blue,dashed] (P0) -- ($(P0) + (1.5, 0)$); \draw [yellow,dashed] ($(P0) + (-0.5, -0.1)$) -- ($(P0) + (1.3, 0.20)$); % tangent line \draw [->] ($(P0) + (1.4, 0)$) arc (0:10:1.2); \node [right, font=\small] at ($(P0) + (5:1.4)$) {$-\frac{\partial w_0}{\partial x}$}; \end{scope} \end{tikzpicture} \end{document}

I want to draw this dotplot: The only way I could think of is: \documentclass{article} \usepackage{tikz} \usepackage{pgfplots} \usepackage{statistics} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture} \begin{axis}[ width=12cm, height=5cm, ymin=0, ymax=20, xmin=0, xmax=1.3, axis y line=left, axis x line=bottom, ytick=\empty, xlabel={$x$}, tick style={draw=none} ] % Dotplot (voorbeelddata) \addplot[ only marks, mark=*, mark size=2.5pt, green!70!black ] coordinates { % linkerzijde (0.35,1) (0.40,1) (0.45,1) (0.40,2) (0.45,2) (0.50,2) (0.45,3) (0.50,3) (0.55,3) (0.50,4) (0.55,4) (0.60,4) % midden (hoogste stapel) (0.60,1) (0.65,1) (0.70,1) (0.75,1) (0.60,2) (0.65,2) (0.70,2) (0.75,2) (0.60,3) (0.65,3) (0.70,3) (0.75,3) (0.65,4) (0.70,4) (0.65,5) (0.70,5) (0.65,6) (0.65,7) % rechterzijde (0.80,1) (0.85,1) (0.80,2) (0.85,2) (0.85,3) }; \end{axis} \end{tikzpicture} \end{document} Resulting in this not very satisfying result: Any suggestions?

I'm playing with a book cover (a novel) with the title separated on three lines. The first part is left aligned to the page, the middle part is centered, and the last part is (should be) right aligned. Currently, my title page is almost right, but I'm experiencing an horizontal glitch that I don't understand. Here's the MWE code that shows the issue. What is wrong with it? \documentclass[11pt,twoside]{book} \usepackage[T1]{fontenc} \usepackage[tt=false]{libertinus} \usepackage[french]{babel} \usepackage[stretch=50]{microtype} \usepackage[letterpaper,left=1.25in,right=1in,top=0.5in,bottom=0.5in,includeheadfoot,headheight=15pt]{geometry} % Option showframe pour montrer les bordures. \raggedbottom \hyphenpenalty=2000 \exhyphenpenalty=2000 \usepackage{titlesec} \usepackage{graphicx} \usepackage[dvipsnames]{xcolor} \usepackage{float} \usepackage[titles]{tocloft} \usepackage[dvipsnames]{xcolor} \usepackage{transparent} \usepackage{tikz} \usetikzlibrary{calc} \titleformat{\chapter}[display] {\normalfont\huge\bfseries\centering} {\chaptertitlename\ \thechapter}{20pt}{\Huge} \begin{document} \frontmatter \begin{titlepage} \definecolor{lightbrown}{RGB}{177, 149, 93} \definecolor{darkred1}{RGB}{60, 25, 0} \pagecolor{darkred1} \begin{tikzpicture}[remember picture, overlay] \draw[line width = 1in,color = white] ($(current page.north west) + (0.25in,0.25in)$) rectangle ($(current page.south east) + (0.25in,-0.25in)$); \draw[line width = 0.25pt,color = black] ($(current page.north west) + (0.75in,-0.25in)$) rectangle ($(current page.south east) + (-0.25in,0.25in)$); \draw[line width = 1pt,color = white] ($(current page.north west) + (1in,-0.5in)$) rectangle ($(current page.south east) + (-0.5in,0.5in)$); \end{tikzpicture} \centering {\textcolor{lightbrown}{\Huge\sffamily Author's name}} \vfill \raggedright {\textcolor{lightbrown}{\fontsize{58}{0}\selectfont\sffamily\textbf{{WOORLDS}}}} \\[2.5\baselineskip] \centering {\textcolor{lightbrown}{\fontsize{48}{0}\selectfont\sffamily\textbf{{of}}}} \\[2.5\baselineskip] \raggedleft {\textcolor{lightbrown}{\fontsize{58}{0}\selectfont\sffamily\textbf{{WOORMS}}}} \\[2\baselineskip] \vfill \centering \vfill \vfill \vfill {\textcolor{brown}{\Large\selectfont\sffamily Copyright Notice}} \end{titlepage} \pagecolor{white} \end{document} Also, the middle part should be well centered, horizontally AND vertically between the first and last part of the title. I'm not sure the code is properly done. Any advice on this would be greatly appreciated. Here's a preview of what this code is doing (don't mind about the weird title. This is just for the the MWE): As you could see on the picture, the last part of the title ("WOORMS") have more space to its right that the left of the fist part ("WOORLDS"). Also, I'm not sure that the middle part ("of") is well centered, vertically and horizontally.

What I want to achieve is something like: Noted that the "glow" here is somewhat like a "shadow" path out of the border. However, I have tried blur shadow={shadow xshift=0pt,shadow yshift=0pt,shadow scale=1.05}: \documentclass[tikz,border=5pt]{standalone} \usetikzlibrary{shadows.blur,spy} \begin{document} \begin{tikzpicture}[spy using outlines={circle, magnification=3, size=3cm}] \draw[fill=gray!25,draw,rounded corners,blur shadow={shadow xshift=0pt,shadow yshift=0pt,shadow scale=1.05}] (40:4) arc[start angle=40,end angle=140,radius=4] -- (140:2) arc[start angle=140,end angle=40,radius=2] -- cycle; \draw[fill=white] (0,2.75) -- ++(.5,-.25) -- (0,3.5) -- ++(-.5,-1) -- cycle; \spy[red] on (140:2) in node at (-2,-1); \spy[blue] on (40:2) in node at (+2,-1); \end{tikzpicture} \end{document} The shadow glow is not what I was after: Is that possible to provide the shadows for such ideal glow for irregular shape?

In the following example I am getting an additional unwanted empty line in the header text and I am looking to get the header text in the right cell aligned left. Is there an easy way to achieve this? \documentclass[a4paper,12pt]{book} \usepackage[utf8]{inputenc} \usepackage[demo]{graphicx} \usepackage{array} \usepackage{lastpage} \usepackage{lipsum} \usepackage{fancyhdr} \usepackage[hmargin=20mm,top=3cm,headheight=65pt,footskip=10pt]{geometry} \usepackage{tgheros} \renewcommand*\familydefault{\sfdefault} \usepackage[T1]{fontenc} \pagestyle{fancy} \renewcommand{\headrulewidth}{0pt} \fancyhead[CE,CO,LE,LO,RE,RO]{} %% clear out all headers \fancyhead[C]{% \begin{tabular}{|m{3.0cm}|m{9.3cm}|m{3.2cm}|} \hline \raisebox{-.2\height}{\includegraphics[height=7mm]{logo.png}} & \centering \raisebox{-.2\height}{\fontsize{18}{18}\selectfont{\textbf{Operating Procedure}}} & \centering {\fontsize{6.5}{6.5}\selectfont{Doc. Ref.: abcdef\\ REV1 of \today\\ Page \thepage\ of \pageref{LastPage}}}\tabularnewline \hline \end{tabular}% } \fancyfoot[CE,CO,LE,LO,RE,RO]{} %% clear out all footers \begin{document} \chapter{Chapter title} \thispagestyle{fancy} \section{Section title} \lipsum[1-10] \end{document}```

When polyglossia is loaded it seems that \AtBeginDocument fails to do its work. The following code \documentclass[12pt]{article} \usepackage{fontsetup} \usepackage{polyglossia} \setmainlanguage{english} \setotherlanguage{greek} \AtBeginDocument{\addfontfeatures{StylisticSet=6,StylisticSet=7}} \begin{document} θυμήθηκα \addfontfeatures{StylisticSet=6,StylisticSet=7} θυμήθηκα \end{document} produces So the \AtBeginDocument did not work (the thetas must be different as in the second line). Now if you comment out the lines of polyglossia, things work as expected, that is both lines produce the same output as in the second line of the picture above. What is wrong with the above code or with polyglossia?

I have my doubts about the wisdom of this… But with LuaLaTeX, babel is really great at switching between fonts and languages automatically without mark up. And the settings for the language can by included in an ini file. I wondered about using this feature in a document that is already multilinugual and uses babel so I can just insert emojis wherever without thinking. This following MWE works, but I was wondering: Is this really a good idea? Is there a better way? Can the set up be done wihtout a separate babel-emoji.ini file? MWE %! TeX Program = lualatex \documentclass{article} \begin{filecontents}[overwrite]{babel-emoji.ini} [identification] charset = utf8 script.name = emoji [characters] ranges = 1F300..1F9FF 2600..26FF 2700..27BF \end{filecontents} \usepackage[english]{babel} \babelprovide[import=emoji, onchar=fonts]{emoji} \babelfont[emoji]{rm}{Noto Color Emoji} \begin{document} A \texttt{babel} integrated emoji: 😀 \end{document}

I am trying to use TiKZ to draw a Borromean knot with 3 Wasp figures. I am getting the wrong superpositions. A single wasp is produced by the following code. Can someone help me to write a TiKZ code for this Brunnian entanglement with 12 crossings. Wasp: \documentclass[border=5mm]{standalone} \usepackage{tikz} \begin{document} \begin{tikzpicture} % Estilos para o anel do mosaico \tikzset{ vespa ring/.style={ draw=red, line width=11pt, line join=round }, white stripe/.style={ draw=white, line width=2pt, % Removida a opacidade para evitar manchas line join=round } } % Macro final da "Cintura de Vespa" com cabeça circular e elevada \newcommand{\vespawaist}{ (0.8, 0) % Cintura direita .. controls (0.8, 1.0) and (2.0, 1.8) .. (1.5, 2.4) % Ombro .. controls (1.0, 3.0) and (-1.0, 3.0) .. (-1.5, 2.4) % Topo elevado .. controls (-2.0, 1.8) and (-0.8, 1.0) .. (-0.8, 0) % Cintura esquerda .. controls (-0.8, -1.0) and (-2.0, -1.8) .. (-1.5, -2.4) % Ombro inferior .. controls (-1.0, -3.0) and (1.0, -3.0) .. (1.5, -2.4) % Base elevada .. controls (2.0, -1.8) and (0.8, -1.0) .. (0.8, 0) % Fecha -- cycle } % Desenho em camadas para garantir o branco puro \draw[vespa ring] \vespawaist; \draw[white stripe] \vespawaist; \end{tikzpicture} \end{document}

I want to create a multi part parallelogram input block for a flowchart. There is no multi part trapezium shape that exist so for now I used a standard rectangular multi part shape with the xslant option to make it look like a parallelogram. I defined a style that I can easily reuse. The problem is that the text is also slanted, and if possible I would like it normal. Is there a way to apply xslant only to the shape and not to the text ? I tried creating a second node only for the text but the problem is that the paralellogram doesn't resize properly to fit the text. My MWE : \documentclass[class=article]{standalone} \usepackage[]{xcolor} \usepackage{tikz} \usetikzlibrary{shapes} \tikzstyle{io} = [rectangle split, rectangle split parts=2, xslant=0.4, draw, rectangle split part fill={blue!50,blue!20}, text centered, minimum width=4.25cm, minimum height=2cm] \begin{document} \begin{tikzpicture} \draw (0,0) node[io,name = ,align = center]{Parameters\nodepart{two} $\alpha$, $\eta$}; \end{tikzpicture} \end{document} Thanks for your help.

Is there a way to continue a path we draw using \draw with a plot, just as we do for instance also with arc or similar commands? In the example below I have a straight line, but I'd like the plot to append directly to that line, as indicated by the red dots. I can of course do that e.g. with plot[shift={(1,1)},...], but that means that I have to repeat that second coordinate in the path, which makes it again more cumbersome to use if we want to change something later (and the second straight line segment then points to the original endpoint without the shift). So this is more a question about "ergonomically" using this plot command inside other paths. E.g., I also like using the ++ syntax to precisely extend a path a certain distance horizontally, without having to repeat the previous y-coordinate, and I was wondering whether there is something similar we can do with the plot command inside such a path. \documentclass{standalone} \usepackage{tikz} \usepackage{xcolor} \usepackage{pgfplots} \pgfplotsset{compat=1.17} \usetikzlibrary{calc} \begin{document} \begin{tikzpicture}[domain=0:4] \draw[black!10!white, dashed] (0, 0) grid (4, 2); \draw (0, 1) -- (1, 1) node[left] {} plot[domain=0:1, samples=100] function{sin(6.3*x)} node[right] {} -- ++(1, 0); \end{tikzpicture} \end{document}

My question is essentially the same as this question, but I'm asking again because the answer provided is not very resilient. In particular, it doesn't work for the kind of diagram I want. I want to use Tikz to draw a diagram with lots of nodes and arrows; essentially, a flowchart. The diagram should start with a single node which is centered on the page (in the MWE below, this is the "Hello there" box). If I try to just use the \centering command, the whole picture gets centered, which is not what I want. The answer I linked above suggests using the \useasboundingbox command. However, this doesn't seem to do what I want. Here is my minimal working example: \documentclass[a4paper, 11pt]{article} \usepackage{tikz} \begin{document} This is a line of text which has been written with no purpose other than to help illustrate how the figure below appears on a page. \begin{figure}[ht] \centering \begin{tikzpicture}[rect/.style={rectangle, draw=black, thin}] \node[rect] (box1) at (0,0) {Hello there}; % Location 1 \node[rect] (box2) at (5,-1) {Hi}; % Location 2 \end{tikzpicture} \end{figure} This is a line of text which has been written with no purpose other than to help illustrate how the figure above appears on a page. \end{document} The linked answer suggests using the command \useasboundingbox (box1.south east) rectangle (box1.north west);. If I put this command at location 2, then the bounding box includes both boxes "Hello there" and "Hi", and the box "Hello there" is not centered (see below). If I put this command at location 1, then the bounding box only includes the "Hello there" box; this centers it the way I want, but then the box "Hi" ends up overlapping with the text below (see below). How can I make the "Hello there" box be centered on the page?

I have some lua code that generates coordinates of many triangles/quadrilaterals I then want to draw/fill. See this answer about Penrose tilings for a concrete example. The drawing is actually done in TikZ via the luadraw package, but I am wondering if I can make the code faster by replacing TikZ with l3draw. Rewriting my actual code to remove TikZ and luadraw dependences (and use l3draw or any other drawing tool) is not a complex task, but will ask me some time due to my limited programming skills. So I would prefer to know in advance if this is a good idea or not. Apart possibly performance, is there any other reasons to use l3draw over pgf for this kind of task? Edit: I am not using TikZ/pgf for the rest of the document. Suggesting to use another environment (as picture) is a valid answer.

The version of the Chemfig manual and package released around 2010 appears to function correctly within ConTeXt. However, more recent versions (e.g., 2025) no longer seem to be compatible, and attempts to use them result in errors or non-functional code. As an alternative, the ppchTeX module provides useful tools for chemical structures in ConTeXt. Nevertheless, it has notable limitations, particularly in representing organic reaction mechanisms, where features such as curved arrows and detailed electron flow are essential. In contrast, Chemfig offers more comprehensive support for these use cases, especially due to its robust arrow and mechanism-drawing capabilities. Given this, I would like to ask whether there are any plans, ongoing efforts, or recommended approaches to enable compatibility between Chemfig and ConTeXt MKIV. Alternatively, is there any guidance on adapting Chemfig for use within ConTeXt, or extending ppchTeX to better support reaction mechanisms?

Consider this MWE: \documentclass{article} %\usepackage{luadraw} % Un-comment this line to get an error \usepackage[executable=python]{pyluatex} % May need to substitute: % \usepackage[executable=python3]{pyluatex} % \usepackage[executable=python.exe]{pyluatex} % (Or whatever works on your system) \begin{document} ok \end{document} The above compiles fine for me (using LuaLaTeX, with the --shell-escape option, from a TeXLive distribution in Windows 11 Enterprise). I get a document showing the text "ok" (without the quotes), as expected. However, if I uncomment the usepackage{luadraw} line, then I get an error: This is LuaHBTeX, Version 1.24.0 (TeX Live 2026) system commands enabled. (./test100.tex LaTeX2e <2025-11-01> L3 programming layer <2026-03-20> (c:/texlive/2026/texmf-dist/tex/latex/base/article.cls Document Class: article 2025/01/22 v1.4n Standard LaTeX document class (c:/texlive/2026/texmf-dist/tex/latex/base/size10.clo)) ... ... (Some more stuff that seems OK) ... (c:/texlive/2026/texmf-dist/tex/lualatex/pyluatex/pyluatex.sty...xlive/2026/tex mf-dist/tex/lualatex/pyluatex/pyluatex.lua:58: attempt to index a function valu e (global 'set') stack traceback: ...xlive/2026/texmf-dist/tex/lualatex/pyluatex/pyluatex.lua:58: in main chunk [C]: in function 'require' [\directlua]:1: in main chunk. l.23 } ? Note: if I uncomment the \usepackage{luadraw} and put it after the \usepackage{pyluatex}, then it actually does compile without error. However, if I then replace the ok with something that uses pyluatex, like \py{'ok'}, then I get another error. So simply switching the loading order does not really solve the issue. Note: I recently (April 29, 2026) ran tlmgr update --all, and also re-installed a current version (version 2.8) of luadraw (using l3build install as described at https://github.com/pfradin/luadraw). Question: Is it possible to use both pyluatex and luadraw together in one document? Secondary question: Is this a bug, and if so, is there one package that is at fault? I would be happy to file a bug report somewhere if that is appropriate. Neither package seems to cause problems for me on its own; it is only when both are loaded that I am experiencing a problem.

I should create a drawing that illustrates this domain in 3D: T= \{(x, y, z) \in \mathbb{R}^3\colon x^2 +y^2\leq (z-9)^2, 0\leq z\leq 3 \}. It is a double cone with vertex at (0,0,3) if it were x^2 +y^2= (z-9)^2. I may have to change the scale but I don’t want the drawing to look worse. How can I colour the two-sloped cone part that satisfies the inequality x^2 +y^2\leq (z-9)^2? ...and then adding 0\leq z\leq 3? \documentclass{article} \usepackage{tikz} \usetikzlibrary{patterns} \usepackage{tikz-3dplot} \usepackage[active,tightpage]{preview} \PreviewEnvironment{tikzpicture} \setlength\PreviewBorder{2pt} \begin{document} \tdplotsetmaincoords{60}{110} \begin{tikzpicture}[tdplot_main_coords,scale=0.9] \pgfmathsetmacro{\tini}{0.5*pi} \pgfmathsetmacro{\tfin}{1.85*pi} \pgfmathsetmacro{\tend}{2.5*pi} \def\h{10.2} \draw[thick,->] (0,0,0) -- (3.5,0,0) node[below left] {$x$}; \draw[dashed] (0,0,0) -- (-2.5,0,0); \draw[thick,->] (0,0,0) -- (0,3.5,0) node[right] {$y$}; \draw[dashed] (0,0,0) -- (0,-2.5,0); \draw[thick,->] (0,0,0) -- (0,0,12) node[above] {$z$}; \fill (0,0,9) circle (1pt); \node[right] at (0,0,9) {$(0,0,9)$}; \foreach \angulo in {0,2,...,358}{ \draw[cyan,very thick,opacity=0.12,rotate around z=\angulo] plot[domain=0:2,smooth,variable=\t] ({0},{\t},{9 + \t}); \draw[cyan,very thick,opacity=0.12,rotate around z=\angulo] plot[domain=0:2,smooth,variable=\t] ({0},{\t},{9 - \t}); } \foreach \z in {7.6,7.8,...,10.4}{ \pgfmathsetmacro{\r}{abs(\z-9)} \draw[cyan,thick,opacity=0.35] plot[domain=\tini:\tfin,smooth,variable=\t] ({\r*cos(\t r)},{\r*sin(\t r)},{\z}); } \foreach \z in {7.6,7.8,...,10.4}{ \pgfmathsetmacro{\r}{abs(\z-9)} \draw[cyan,thick,opacity=0.35] plot[domain=\tfin:\tend,smooth,variable=\t] ({\r*cos(\t r)},{\r*sin(\t r)},{\z}); } \pgfmathsetmacro{\r}{abs(\h-9)} \draw[red,very thick] plot[domain=0:360,smooth,variable=\t] ({\r*cos(\t)},{\r*sin(\t)},{\h}); \node[red, above right] at ({\r},0,\h) {$z=h$}; \fill[yellow,opacity=0.35] plot[domain=0:360,smooth,variable=\t] ({\r*cos(\t)},{\r*sin(\t)},0); \draw[red,thick] plot[domain=0:360,smooth,variable=\t] ({\r*cos(\t)},{\r*sin(\t)},0); \foreach \angle in {0,45,...,315}{ \pgfmathsetmacro{\x}{\r*cos(\angle)} \pgfmathsetmacro{\y}{\r*sin(\angle)} \draw[gray,dashed,opacity=0.5] (\x,\y,0) -- (\x,\y,\h); } \node[blue,right] at (0,0,11.5) {$x^2 + y^2 = (z-9)^2$}; \end{tikzpicture} \end{document}

I want to implement given formatting requirements, however, I feel overwhelmed by the number of parameters and their dependencies, and, thus, I don't know which to begin with, as I feel like all of them need to be considered simultaniously. Furthermore, there are even more formatting requirements to fulfill, yet, the following should be the most essential ones, which is why I want to implement these first and condensed them in a table: I use the KOMA-script class scrreprt and would have used the parskip=full- option to seperate paragraphs from each other. If there is any info missing, please tell me and I'll provide it. And if some requirement seems odd, please also let me know. Thanks in advance! EDIT - This MWE should cover all eventualities: \LoadClass[a4paper,parskip=full-]{scrreprt} \RequirePackage[top=3.5cm,bottom=2.5cm,left=3cm,right=3cm]{geometry} \begin{document} \chapter{Chapter Chapter Chapter Chapter Chapter} \section{Section Section Section Section Section Section Section Section} \subsection{Subsection Subsection Subsection Subsection Subsection Subsection Subsection} \subsubsection{Subsubsection Subsubsection Subsubsection Subsubsection Subsubsection Subsubsection} Paragraph Paragraph Paragraph Paragraph Paragraph Paragraph Paragraph Paragraph Paragraph Paragraph \subsubsection{Subsubsection} Paragraph \subsection{Subsection} Paragraph \section{Section} Paragraph \end{document} EDIT 2 - Update This here shows how \onehalfspacing works: \LoadClass[a4paper,fontsize=12pt]{scrreprt}%try 10pt/11pt/12pt (or any other font size) \RequirePackage{setspace}%provides \setstretch{} \makeatletter \newcommand{\myonehalfspacing}{\normalsize\setstretch{\fpeval{1.5 * \f@size / \f@baselineskip}}} \makeatother %\myonehalfspacing \makeatletter \newcommand{\reportformattingtobecheckedfor}[1]{#1 When implementing \texttt{\string#1}, the reciprocal of the ratio of normal fontsize corresponding \f@size pt, but called 1\@ptsize pt, to its updated baselineskip of \the\baselineskip, defaulting \f@baselineskip, is \fpeval{\baselineskip / \f@size}.\hrule} \makeatother \begin{document} \hrule \reportformattingtobecheckedfor{\onehalfspacing} \reportformattingtobecheckedfor{\myonehalfspacing} \end{document} With this info, the updated MWE looks as follows: After the initial \LoadClass[a4paper,fontsize=12pt,parskip=full-]{scrreprt} \RequirePackage[top=2cm,bottom=2cm,left=3cm,right=3cm]{geometry}%changed to fit one page to exclude page break effects \RequirePackage[T1]{fontenc} \RequirePackage{setspace}%provides \setstretch{} , you could - for 1.5x-linespacing and formatted section headings - continue the preamble with \makeatletter \newcommand{\ratioofnormaltooneandhalfspacing}{} \AtBeginDocument{ \begingroup \normalsize \xdef\ratioofnormaltooneandhalfspacing{\fpeval{\f@size pt/\f@baselineskip*1.5}} \endgroup \myonehalfspacing%has to be called here to work, other than %\onehalfspacing %that can be called anywhere (don't know why here) --> toggle first % in this line on/off to compare, no need to % previous line } \newcommand{\myonehalfspacing}{\setstretch{\ratioofnormaltooneandhalfspacing}} \newcommand{\relativeonehalfspacingtoabsolute}[1]{\fpeval{#1/\ratioofnormaltooneandhalfspacing}}%would have wanted to wrap the fraction with round(...,0) to get the nearest int, doesn't give expected result (don't know why) \makeatother \RedeclareSectionCommand[ font=\normalfont\fontsize{20}{\relativeonehalfspacingtoabsolute{25}}\bfseries, beforeskip=42pt, afterskip=24pt ]{chapter} \RedeclareSectionCommand[ font=\normalfont\fontsize{16}{\relativeonehalfspacingtoabsolute{20}}\bfseries, beforeskip=28pt, afterskip=14pt ]{section} \RedeclareSectionCommand[ font=\normalfont\fontsize{14}{\relativeonehalfspacingtoabsolute{18}}\bfseries, beforeskip=20pt, afterskip=12pt ]{subsection} \RedeclareSectionCommand[ font=\normalfont\fontsize{12}{\relativeonehalfspacingtoabsolute{18}}\itshape, beforeskip=18pt, afterskip=12pt ]{subsubsection} or instead of this just write \makeatletter \newcommand{\myonehalfspacing}{\normalsize\setstretch{\fpeval{1.5 * \f@size / \f@baselineskip}}} \makeatother \myonehalfspacing %\onehalfspacing \addtokomafont{disposition}{\setstretch{1}} \RedeclareSectionCommand[ font=\normalfont\fontsize{20}{25}\bfseries, beforeskip=42pt, afterskip=24pt ]{chapter} \RedeclareSectionCommand[ font=\normalfont\fontsize{16}{20}\bfseries, beforeskip=28pt, afterskip=14pt ]{section} \RedeclareSectionCommand[ font=\normalfont\fontsize{14}{18}\bfseries, beforeskip=20pt, afterskip=12pt ]{subsection} \RedeclareSectionCommand[ font=\normalfont\fontsize{12}{18}\itshape, beforeskip=18pt, afterskip=12pt ]{subsubsection} , either way, you end the preamble with %from https://texwelt.de/fragen/21544/koma-script-abstande-bei-uberschriften-exakt-einstellen-welche-werte-sind-notwendig (not EN, but DE): \RequirePackage{xpatch} \makeatletter \At@startsection{\addtolength{\@tempskipa}{-\parskip}} % Jetzt folgt ein übler Hack ohne Garantie, dass der auch zukünftig noch funktionieren wird! \xpatchcmd{\@xsect}{\vskip\@tempskipa}{\vskip\dimexpr\@tempskipa-\parskip\relax}{}{} \makeatother % to eliminate the added vertical spacing that parskip effects, and with \makeatletter \newcommand{\reportcurrentformatting}{$\rightarrow\frac{\strip@pt\baselineskip\mathrm{pt}}{\f@size\mathrm{pt}}=\fpeval{\baselineskip / \f@size}$}%for debugging \makeatother for debugging, completed by \begin{document} \chapter{Chapter Chapter Chapter Chapter Chapter \reportcurrentformatting} \hrule \section{Section Section Section Section Section Section Section \reportcurrentformatting} \hrule \subsection{Subsection Subsection Subsection Subsection Subsection \reportcurrentformatting} \hrule \subsubsection{Subsubsection Subsubsection Subsubsection Subsubsection Subsubsection Subsubsection \reportcurrentformatting} \hrule Paragraph Paragraph Paragraph Paragraph Paragraph Paragraph Paragraph Paragraph Paragraph \reportcurrentformatting \hrule \hrule Paragraph \reportcurrentformatting \hrule \subsubsection{Subsubsection \reportcurrentformatting} \hrule Paragraph \reportcurrentformatting \hrule \subsection{Subsection \reportcurrentformatting} \hrule Paragraph \reportcurrentformatting \hrule \section{Section \reportcurrentformatting} \hrule Paragraph \reportcurrentformatting \hrule \chapter{Chapter \reportcurrentformatting} \hrule Paragraph \reportcurrentformatting \hrule \end{document} . The MWE's output looks like this (1st page cropped): At this point, the two only remaining areas where I need help are: Does the code that should eliminate the added vertical spacing around the section headings which parskip effects look correct and effective? Is there a way to check the respective sizes of beforeskip and afterskip? In theory, they should be correct as they were set manually, yet, when I compare the font size of chapter and the line spacing of section (they should be the same) measured with a ruler on a monitor (I know ... but it aint stupid if it works) they are not the same, or am I misunderstanding their theoritical (not code) definition here? If these (bonus) questions justify a new post, please let me know. Just thought they benefit from the overall context of the original question and are still somewhat linked to it. Thanks once again!

I have the following example(From display inline style affected the hyperlink box's size?): \documentclass{article} \everymath{\displaystyle} \usepackage{xcolor} \usepackage{lipsum} \usepackage{amsmath} \usepackage{zref-clever}%<- \usepackage{hyperref} \hypersetup{linkbordercolor=magenta} \begin{document} \section{Mathematical Expressions} \begin{equation} a^2+b^2=c^2 \label{eqn} \end{equation} \lipsum[1][1-3] cite the eqn at here \zcref{eqn} and $\iint x^2+y^2 \, dx \, dy$ lalala \lipsum[1][1-3] cite the eqn at here \ref{eqn} and $\iint x^2+y^2 \, dx \, dy$ lalala \lipsum[1][1-3] cite the eqn at here \eqref{eqn} and $\iint x^2+y^2 \, dx \, dy$ lalala \lipsum[1][1-3] \end{document} When using pdfLaTeX or LuaLaTeX But When using XeLaTeX Different LaTeX compilers affect the depth of hyperlink boxes. Is this expected behavior, and why specifically?

I have created a custom ⍟ symbol using TikZ, which works well, except that it ignores the colour of the surrounding text. MWE: \documentclass{article} \usepackage{tikz} \usepackage{scalerel} \newsavebox{\whitecircstar}\sbox{\whitecircstar}{\kern.075em\tikz{\node[draw, circle,line width=.36pt, inner sep=0]{$*$};}\kern.075em} \newcommand{\ostar}{\mathbin{\scalerel*{\usebox{\whitecircstar}}{\odot}}} \begin{document} \textcolor{red}{Before $\ostar$ After} \end{document} Output: How can I make \ostar the same colour as the surrounding text? My understanding was that . was a special symbol for the current colour in xcolor, but adding color=. to the node arguments had no effect.

In my tex I have a sentence: No external torque $\implies$ Angular momentum $L$ is conserved: After I compile the tex file, it throws out "! Missing } inserted" error. If I delete the $\implies$ in the above sentence, all is fine. Why and how to solve it? The whole tex code (I run it with XeLatex+MakeIndex+BibTex): \documentclass{beamer} % 默认就是 4:3 \usetheme{Madrid} \usecolortheme{seahorse} \usepackage{amsmath} \usepackage{amssymb} \usepackage{physics} \usepackage{tikz} \usepackage{tikz-3dplot} \usetikzlibrary{calc, decorations.markings, arrows.meta, angles, quotes} \usetikzlibrary{patterns,decorations.pathmorphing} \usepackage{amsfonts} \usepackage[utf8]{inputenc} \usepackage[T3,T1]{fontenc} \usepackage{tipa} \usepackage{xcolor} \usepackage{booktabs} % 用于绘制专业的表格线 \usepackage{setspace} \usepackage{fontspec} % 如果你是 Windows 用户，通常 Arial 包含最全的音标字符 \setmainfont{Arial} \usepackage{siunitx} \begin{document} \begin{frame}{Exercise: Angular Momentum Conservation} \textbf{Problem:} \\ Two flywheels $A$ and $B$ share a common axis. Initially, $B$ is at rest, and $A$ rotates with angular velocity $\omega_A$. After they are coupled by clutch $C$, they rotate together with velocity $\omega$. Find $J_B$ if $A$'s moment of inertia is $J_A$. \textbf{Solution:} \\ No external torque $\implies$ Angular momentum $L$ is conserved: \begin{equation*} J_A \omega_A = (J_A + J_B) \omega \end{equation*} \pause \end{frame} \end{document}

I face the following problem since I migrated to texlive 2025 with the deprecation of gentium-tug When I build my books on a minimnal installation I get the following error (/home/runner/texlive/texmf-dist/tex/latex/fontspec/fontspec.sty (/home/runner/texlive/texmf-dist/tex/latex/fontspec/fontspec-luatex.sty (/home/runner/texlive/texmf-dist/tex/latex/base/fontenc.sty) (/home/runner/texlive/texmf-dist/tex/latex/fontspec/fontspec.cfg))) luaotfload | db : Reload initiated (formats: otf,ttf,ttc); reason: File not found: "Gentium-Regular.ttf". ! Package fontspec Error: (fontspec) The font "Gentium-Regular" cannot be found; this (fontspec) may be but usually is not a fontspec bug. Either (fontspec) there is a typo in the font name/file, the font is (fontspec) not installed (correctly), or there is a bug in (fontspec) the underlying font loading engine (fontspec) (XeTeX/luaotfload). It is working locally on my LaTeX 2025 installation going from %%% %%% Fonts & paragraph typography %%% \RequirePackage{fontspec,gentiumbook,opensans,FiraMono} \setmainfont{Gentium Book Plus} \setsansfont{Open Sans}[ \@ifpackagelater{opensans}{2019/06/19}% test for font naming bug {}% 2019/06/20 fixed it {BoldFont = {* Bold},} Scale=MatchLowercase, Numbers=OldStyle ] \setmonofont{Fira Mono}[ Scale=MatchLowercase, HyphenChar={-} % enable hyphenation (disabled by default in mono fonts) % caveat: LuaLaTeX doesn't support changing the actual character % alternative solution: \usepackage[htt]{hyphenat} ] to %%% %%% Fonts & paragraph typography %%% \RequirePackage{fontspec,opensans,FiraMono} \setmainfont{GentiumBookPlus} \setsansfont{Open Sans}[ sBoldFont = {* Bold}, Scale=MatchLowercase, Numbers=OldStyle ] \setmonofont{Fira Mono}[ Scale=MatchLowercase, HyphenChar={-} % enable hyphenation (disabled by default in mono fonts) % caveat: LuaLaTeX doesn't support changing the actual character % alternative solution: \usepackage[htt]{hyphenat} ] It works but my problem is that I build a system that helps users to generate books written in markdown and automatically translated to LaTeX and I propose a smaller version of texlive and hosting it on github Here are the dependencies I extract from my builds. TeX Live 2025 is frozen and will no longer be routinely updated. This happens when a new release is made, or will be made shortly. For general status information about TeX Live, see its home page: https://tug.org/texlive tlmgr: package repository https://ftp.tu-chemnitz.de/pub/tug/historic/systems/texlive/2025/tlnet-final/ (verified) tlmgr install: package already present: cm tlmgr install: package already present: graphics tlmgr install: package already present: graphics-cfg tlmgr install: package already present: graphics-def tlmgr install: package already present: l3backend tlmgr install: package already present: l3kernel tlmgr install: package already present: latex tlmgr install: package already present: latex-fonts tlmgr install: package already present: latexconfig tlmgr install: package already present: lua-uni-algos tlmgr install: package already present: lualibs tlmgr install: package already present: luaotfload tlmgr install: package already present: tex-ini-files tlmgr install: package already present: unicode-data [1/65, ??:??/??:??] install: atbegshi [5k] [2/65, 00:01/01:18:23] install: atveryend [2k] [3/65, 00:01/01:02:50] install: auxhook [2k] [4/65, 00:02/01:38:01] install: bigintcalc [7k] [5/65, 00:02/52:40] install: bitset [6k] [6/65, 00:02/37:28] install: booktabs [3k] [7/65, 00:03/50:34] install: environ [2k] [8/65, 00:03/46:34] install: epstopdf.x86_64-linux [1k] [9/65, 00:03/45:52] install: epstopdf [15k] [10/65, 00:04/37:52] install: epstopdf-pkg [5k] [11/65, 00:04/34:12] install: etexcmds [3k] [12/65, 00:05/40:27] install: etoolbox [9k] [13/65, 00:05/33:57] install: euenc [4k] [14/65, 00:05/32:02] install: filehook [5k] [15/65, 00:06/35:25] install: fira [15170k] [16/65, 00:09/00:12] install: fontaxes [5k] [17/65, 00:09/00:12] install: fontspec [27k] [18/65, 00:09/00:12] install: footmisc [8k] [19/65, 00:10/00:14] install: fp [19k] [20/65, 00:10/00:14] install: gentium-otf [3k] [21/65, 00:11/00:15] install: gettitlestring [3k] [22/65, 00:11/00:15] install: hycolor [4k] [23/65, 00:11/00:15] install: hyperref [88k] [24/65, 00:12/00:16] install: iftex [4k] [25/65, 00:12/00:16] install: import [3k] [26/65, 00:13/00:18] install: infwarerr [3k] [27/65, 00:13/00:18] install: intcalc [6k] [28/65, 00:13/00:18] install: kvdefinekeys [3k] [29/65, 00:14/00:19] install: kvoptions [8k] [30/65, 00:14/00:19] install: kvsetkeys [4k] [31/65, 00:14/00:19] install: l3packages [20k] [32/65, 00:15/00:21] install: letltxmacro [3k] [33/65, 00:15/00:21] install: listings [149k] [34/65, 00:16/00:22] install: ltxcmds [5k] [35/65, 00:16/00:22] install: makecmds [2k] [36/65, 00:17/00:23] install: memoir [68k] [37/65, 00:17/00:23] install: mptopdf.x86_64-linux [1k] [38/65, 00:18/00:25] install: mptopdf [37k] [39/65, 00:18/00:24] install: multirow [3k] [40/65, 00:18/00:24] install: opensans [1979k] [41/65, 00:20/00:24] install: pdfcol [3k] [42/65, 00:20/00:24] install: pdfescape [5k] [43/65, 00:21/00:25] install: pdftexcmds [7k] [44/65, 00:21/00:25] install: pgf [702k] [45/65, 00:22/00:26] install: polyglossia [123k] [46/65, 00:23/00:27] install: ragged2e [3k] [47/65, 00:23/00:27] install: refcount [3k] [48/65, 00:24/00:28] install: rerunfilecheck [4k] [49/65, 00:24/00:28] install: stringenc [23k] [50/65, 00:24/00:28] install: tcolorbox [230k] [51/65, 00:25/00:28] install: textcase [2k] [52/65, 00:26/00:30] install: tikzfill [5k] [53/65, 00:26/00:30] install: tipa [2809k] [54/65, 00:28/00:28] install: tools [47k] [55/65, 00:28/00:28] install: trimspaces [1k] [56/65, 00:29/00:29] install: ulem [7k] [57/65, 00:29/00:29] install: uniquecounter [3k] [58/65, 00:29/00:29] install: url [6k] [59/65, 00:30/00:30] install: varwidth [5k] [60/65, 00:30/00:30] install: xcolor [18k] [61/65, 00:30/00:30] install: xkeyval [9k] [62/65, 00:31/00:31] install: xpatch [2k] [63/65, 00:31/00:31] install: xtab [5k] [64/65, 00:32/00:32] install: xunicode [26k] [65/65, 00:32/00:32] install: zapfding [46k] running mktexlsr ... done running mktexlsr. running updmap-sys ... done running updmap-sys. regenerating fmtutil.cnf in /home/runner/texlive/texmf-dist running fmtutil-sys --byfmt mptopdf --no-error-if-no-engine=luametatex,luajithbtex,luajittex,mfluajit --status-file=/tmp/yCFX9JaktR/XWxxYEwl7V ... OK: mptopdf.fmt/pdftex tlmgr: package log updated: $TEXDIR/texmf-var/web2c/tlmgr.log tlmgr: command log updated: $TEXDIR/texmf-var/web2c/tlmgr-commands.log I tried \setmainfont[Ligatures=TeX,]{Gentium-Regular.ttf} as mentioned in another post. but did not work. I spent several days already trying to solve this problem but I miserably failed. Any

My goal is to get a rectangle like the one below, but with text in the nested rectangles. Line types could be for example the following: I saw tikz: Multiple splits of rectangle, but it does not answer the question on the line types. Beyond that, I am a beginner using Tikz, and I'd like the answer explained, since the linked answer is complex to understand. Thanks!

Not sure what is wrong with my minipage figures, this is the same kind of layout that I have used in the past with no problems, but for some reason now it is not working. I am trying to have all four figures have the same width, with all the captions also aligned on the same line. The following code \documentclass[12pt, a4paper, twoside, openright]{article} \usepackage{graphicx} \usepackage{float} \usepackage{caption} \begin{document} \begin{figure}[h!] \centering \begin{minipage}{0.25\textwidth} \centering \includegraphics[width=0.9\textwidth]{images/quartier_1.png} \caption{Quartier 1}\label{fig:q1} \end{minipage}\hfill \begin{minipage}{0.25\textwidth} \centering \includegraphics[width=0.9\textwidth]{images/quartier_2.png} \caption{Quartier 2}\label{fig:q2} \end{minipage} \hfill \begin{minipage}{0.25\textwidth} \centering \includegraphics[width=0.9\textwidth]{images/quartier_3.png} \caption{Quartier 3}\label{fig:q3} \end{minipage} \begin{minipage}{0.25\textwidth} \centering \includegraphics[width=0.9\textwidth]{images/quartier_4.png} \caption{Quartier 4}\label{fig:q4} \end{minipage} \end{figure} \end{document} returns the following result:

I have an issue with the following code, kindly provided by egreg some time ago answer by egreg. It worked well, but I recently noticed an unwanted behavior. I am not sufficiently familiar with expl3 to fix it myself, nor do I fully understand how the code works. \ExplSyntaxOn \NewDocumentCommand{\pc}{m} % projective coordinates { \seq_set_split:NVn \l_tmpa_seq \c_colon_str { #1 } ( \seq_use:Nn \l_tmpa_seq { \mspace{1\medmuskip}{:}\mspace{1\medmuskip} } ) } \ExplSyntaxOff \documentclass{article} \usepackage{amsmath} \begin{document} \[ \begin{aligned} &(a:b:c) & & (1:-1:2) & &\qquad\verb|standard|\\ &\pc{a:b:c} & & \pc{1:-1:3} & &\qquad\verb|with \pc command|\\ &(a:-b:c) & & (1:-2:3) & &\qquad\verb|standard|\\ &\pc{a:-b:c}& & \pc{1:-2:3} & &\qquad\verb|with \pc command| \end{aligned} \] \[ \pc{a,b,c,d}\quad \pc{a;b;c;d,e,f:g:h:i,l} \] \end{document} Here is the output of the minimal working example: The actual issue appears when a coordinate other than the first is negative (for example \pc{a:-b:c} or \pc{1:-2:3}), where the spacing/output differs from the standard notation. As an aside, I also do not understand why commands such as \pc{a,b,c} or \pc{a;b;c:d} produce the output they do. Could someone explain what is happening here, and how to modify the macro so that it behaves correctly in all cases?

I would like to add a very large picture on a title page, covering the whole page with a large offset (picture pasted to the upper-left side of the page), blended on the page background (below the title, author's name and other text elements), with some transparency effect, and background blending effect. How should we achieve this? The picture is supposed to be partly shown on the page, about half of it showing on the upper-left side, like an "intrusion" on the page (sorry for the bad english description. I hope you get the picture). Here's a MWE to be modified, showing a title page prototype: \documentclass[11pt,twoside]{book} \usepackage[T1]{fontenc} \usepackage[tt=false]{libertinus} \usepackage[french]{babel} \usepackage[stretch=50]{microtype} \usepackage[letterpaper,left=1.25in,right=1in,top=0.5in,bottom=0.5in,includeheadfoot,headheight=15pt]{geometry} \usepackage{titlesec} \usepackage{graphicx} \usepackage[dvipsnames]{xcolor} \usepackage{float} \usepackage{fancyhdr} \usepackage[titles]{tocloft} \usepackage{shadowtext} \usepackage{tikz} \usetikzlibrary{calc} \begin{document} \frontmatter % Title Page : \begin{titlepage} \definecolor{lightbrown}{RGB}{177, 149, 93} \definecolor{darkbrown1}{RGB}{58, 41, 26} \definecolor{darkbrown2}{RGB}{50, 30, 0} % Frame : \begin{tikzpicture}[remember picture, overlay] \draw[line width = 1in,color = white] ($(current page.north west) + (0.25in,0.25in)$) rectangle ($(current page.south east) + (0.25in,-0.25in)$); \draw[line width = 0.25pt,color = black] ($(current page.north west) + (0.75in,-0.25in)$) rectangle ($(current page.south east) + (-0.25in,0.25in)$); %\draw[line width = 1pt,color = darkbrown1] ($(current page.north west) + (1in,-0.5in)$) rectangle ($(current page.south east) + (-0.5in,0.5in)$); \end{tikzpicture} \shadowoffsetx{2.5pt} \shadowoffsety{3.5pt} \shadowcolor{gray!80} \definecolor{pagetitre}{RGB}{150,120,100} \pagecolor{pagetitre} \centering \vspace*{\baselineskip} \vfill {\textcolor{black}{\fontsize{26}{0}\selectfont\sffamily\textbf{\shadowtext{Some Nice Title Here}}}} \\[2.5\baselineskip] {\textcolor{black}{\huge\sffamily\scshape Someone}} \vfill \vfill \includegraphics[width=11cm]{example-grid-100x100pt} \vfill {\textcolor{black}{\Large\selectfont\sffamily\scshape Some copyright notice}} \end{titlepage} \pagecolor{white} Blabla \end{document} So how can I add a very large picture blended with the page background colour, with some transparency effect, and a large up-left offset? The large picture should fit inside the frame defined with the tikzpicture environment, and stay below all text on the title page.

This is my current effort: \documentclass{article} \usepackage{pstricks} \usepackage{graphicx} \begin{document} \rotatebox{90}{% \begin{pspicture}(5,4) \psgrid \end{pspicture} } \end{document} How do I persuade gv (and my printer), to present it in landscape? Of course I have to play with the actual numbers. Eventually something like conventional graph paper on it's side.

As the follow-up of my previous question, the code below comes from cfr's solution: % Source - https://tex.stackexchange.com/a/762315 % Posted by cfr % Retrieved 2026-04-28, License - CC BY-SA 4.0 \documentclass[tikz,border=5pt]{standalone} \usetikzlibrary{arrows.meta} \makeatletter \newcommand\dualharpoon{} \newcommand\dualharpoon@aux{} \newcommand\dualharpoon@noaux{} \protected\def\dualharpoon{% \@ifnextchar[\dualharpoon@aux\dualharpoon@noaux } \protected\def\dualharpoon@noaux{% \dualharpoon@aux[]% } \long\protected\def\dualharpoon@aux[#1]#2#3#4#5{% \path (#4.center); \pgfgetlastxy{\temp@ax}{\temp@ay} \path (#5.center); \pgfgetlastxy{\temp@bx}{\temp@by} \pgfmathsetmacro\temp@angle{atan2(\temp@by-\temp@ay,\temp@bx-\temp@ax)} \draw[-foo,mystyle] (#4.{\temp@angle - 10}) -- % node[ % draw=blue, % % anchor={90+\temp@angle}, % sloped,inner sep=0pt,#1 % ] {#2} node[ draw, % draw=red, anchor={90+\temp@angle},%<- sloped,inner sep=0pt,#1 ] {#2} (#5.{190 + \temp@angle}); %%%%%%%%%%%%%%%%%%%% \draw[foo-,mystyle] (#4.{\temp@angle + 10}) -- node[ draw, anchor={270+\temp@angle},%<- sloped,inner sep=0pt,#1 ] {#3} (#5.{170 + \temp@angle}); } \makeatother \begin{document} \begin{tikzpicture}[ foo/.tip={Stealth[harpoon,swap]},scale=1.5, mystyle/.style={thick, shorten >=2pt,shorten <=2pt}, ] \foreach \i in {0,20,...,340}{ \node[draw,circle,fill=teal] (In-\i) at (\i:3) {}; \node[draw,circle,fill=magenta] (Out-\i) at (\i:5) {}; \dualharpoon[scale=.8]{$\Delta$}{$\nabla$}{In-\i}{Out-\i} } \end{tikzpicture} \end{document} And I tweaked some label arguments, but I found that the label position is not exactly what I want with anchor={90+\temp@angle}, I want every angles gives the alignment with the normal direction: To show the anchor's behavior more clearly: % Source - https://tex.stackexchange.com/a/762315 % Posted by cfr % Retrieved 2026-04-28, License - CC BY-SA 4.0 \documentclass[tikz,border=5pt]{standalone} \usetikzlibrary{arrows.meta} \makeatletter \newcommand\dualharpoon{} \newcommand\dualharpoon@aux{} \newcommand\dualharpoon@noaux{} \protected\def\dualharpoon{% \@ifnextchar[\dualharpoon@aux\dualharpoon@noaux } \protected\def\dualharpoon@noaux{% \dualharpoon@aux[]% } \long\protected\def\dualharpoon@aux[#1]#2#3#4#5{% \path (#4.center); \pgfgetlastxy{\temp@ax}{\temp@ay} \path (#5.center); \pgfgetlastxy{\temp@bx}{\temp@by} \pgfmathsetmacro\temp@angle{atan2(\temp@by-\temp@ay,\temp@bx-\temp@ax)} \draw[-foo,mystyle] (#4.{\temp@angle - 10}) -- node[ draw=blue, % anchor={90+\temp@angle}, sloped,inner sep=0pt,#1 ] {#2} node[ draw=red, anchor={90+\temp@angle},%<- sloped,inner sep=0pt,#1 ] {#2} (#5.{190 + \temp@angle}); %%%%%%%%%%%%%%%%%%%% % \draw[foo-,mystyle] (#4.{\temp@angle + 10}) -- node[ % draw, % anchor={270+\temp@angle},%<- % sloped,inner sep=0pt,#1 % ] {#3} (#5.{170 + \temp@angle}); } \makeatother \begin{document} \begin{tikzpicture}[ foo/.tip={Stealth[harpoon,swap]},scale=1.5, mystyle/.style={thick, shorten >=2pt,shorten <=2pt}, ] \foreach \i in {0,20,...,340}{ \node[draw,circle,fill=teal] (In-\i) at (\i:3) {}; \node[draw,circle,fill=magenta] (Out-\i) at (\i:5) {}; \dualharpoon[scale=.8]{$\Delta$}{$\nabla$}{In-\i}{Out-\i} } \end{tikzpicture} \end{document} It also reminded me of Jasper Habicht's another solution, but..., I found it not quite easy to decide the position of the midpoint of path from A to B... Any suggestions on this?

I am using the vscodeicons and vectorlogos packages to include small icons in my document. Consider this MWE: \documentclass{article} \usepackage{vscodeicons,vectorlogos} \begin{document} Inline \vscodeicon[filetype]{wolfram} version Geogebra \vectorlogo[icon]{geogebra} \end{document} To my eyes, the icons appear slightly shifted downwards with respect to the surrounding text. Are they already correctly aligned in the packages, or would it be better to tweak them (e.g., with \raisebox or package options such as height=auto/dstrut=false) so that they sit exactly on the baseline like the surrounding text? If some adjustment is recommended, what would be a robust way to align them in inline text without breaking the line spacing?

Learning from the link here and here, I have the following code: \documentclass[tikz,border=5pt]{standalone} \usetikzlibrary{arrows.meta} \begin{document} \begin{tikzpicture}[ foo/.tip={Stealth[harpoon,swap]}, mystyle/.style={thick, shorten >=2pt,shorten <=2pt}, ] \node[draw,circle,fill=teal] (A) at (0,1) {A}; \node[draw,circle,fill=magenta] (B) at (0,-1) {B}; \node[draw,circle,fill=cyan] (C) at (2.5,.5) {C}; \draw[-foo,mystyle,transform canvas={xshift=-0.3ex}] (A) -- node[left] {$\Delta$} (B); \draw[foo-,mystyle,transform canvas={xshift=+0.3ex}] (A) -- node[right] {$\nabla$} (B); % \draw[dualharpoon={$\Delta$}{$\nabla$}] (A) -- (B); % ? \draw[-foo,mystyle,transform canvas={yshift=-0.3ex}] (B) -- node[below right=-3pt] {$f(x)$} (C); \draw[foo-,mystyle,transform canvas={yshift=+0.3ex}] (B) -- node[above left=-3pt] {$g(x)$} (C); % \draw[dualharpoon={$f(x)$}{$g(x)$}] (B) -- (C); % ? \end{tikzpicture} \end{document} I want more smartly syntax like: \draw[dualharpoon={$\Delta$}{$\nabla$}] (A) -- (B); \draw[dualharpoon={$f(x)$}{$g(x)$}] (B) -- (C); which control exactly how much to xshift/yshift moved towards in the direction perpendicular to the connection between the two nodes, in addition, I also don't want to decide the node's position by above left=-3pt manually. Any suggestions on how to support such two-sided harpoon arrow with label? Edited after cfr's answer(first edition): % Source - https://tex.stackexchange.com/a/762315 % Posted by cfr % Retrieved 2026-04-28, License - CC BY-SA 4.0 \documentclass[tikz,border=5pt]{standalone} \usetikzlibrary{arrows.meta} \makeatletter \newcommand\dualharpoon{} \newcommand\dualharpoon@aux{} \newcommand\dualharpoon@noaux{} \protected\def\dualharpoon{% \@ifnextchar[\dualharpoon@aux\dualharpoon@noaux } \protected\def\dualharpoon@noaux{% \dualharpoon@aux[]% } \long\protected\def\dualharpoon@aux[#1]#2#3#4#5{% \path (#4.center); \pgfgetlastxy{\temp@ax}{\temp@ay} \path (#5.center); \pgfgetlastxy{\temp@bx}{\temp@by} \edef\temp@angle{\fpeval{(atan((\temp@by-\temp@ay)/(\temp@bx-\temp@ax)))*(180/pi)}} \draw[-foo,mystyle] (#4.{\temp@angle - 5}) -- coordinate (temp@1) (#5.{185 + \temp@angle}); \node[anchor={90+\temp@angle}] at (temp@1) {#2} ; \draw[foo-,mystyle] (#4.{\temp@angle + 5}) -- coordinate (temp@2) (#5.{175 + \temp@angle}); \node[anchor={270+\temp@angle}] at (temp@2) {#3}; } \makeatother \begin{document} \begin{tikzpicture}[ foo/.tip={Stealth[harpoon,swap]}, mystyle/.style={thick, shorten >=2pt,shorten <=2pt}, ] \node[draw,circle,fill=teal] (A) at (0,1) {A}; \node[draw,circle,fill=magenta] (B) at (0,-1) {B}; \node[draw,circle,fill=cyan] (C) at (2.5,.5) {C}; \node[draw,circle,fill=olive] (D) at (-3,1) {D}; \dualharpoon{$\Delta$}{$\nabla$}{A}{B} \dualharpoon{$g(x)$}{$f(x)$}{B}{C} \dualharpoon{$p$}{$q$}{B}{D} \end{tikzpicture} \end{document}

I am typesetting the following matrix equation (MWE): \documentclass[preview]{standalone} \usepackage{iftex} \ifLuaTeX \usepackage{unicode-math} \else \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{amsmath} \fi \begin{document} \[ \begin{pmatrix} \underline{v}_1^T \\ \underline{v}_3^T \\ \underline{v}_3^T \end{pmatrix} = \begin{pmatrix} v_{11} & v_{12} & v_{13} \\ v_{21} & v_{22} & v_{23} \\ v_{31} & v_{32} & v_{33} \end{pmatrix} \] \end{document} When I compile with pdflatex, the matrix elements on the l.h.s. look good to me. In particular, both the subscripts (indices) and the superscripts (T) are properly set and readable: However, when I compile with lualatex, the subscripts overlap with the succeeding line: I've also created a gif for a better comparison: My question is: How can I avoid the overlap? (My wish would be to consistently raise the subscripts. I'd like to avoid increasing the row distance, because then the rows on the l.h.s. would not properly align with the rows on the r.h.s.)