%% %% Package: spectralsequences v1.2.2 2017-09-16 2017-09-16 %% Author: Hood Chatham %% Email: hood@mit.edu %% Date: 2019-02-18 %% License: Latex Project Public License %% %% File: example_hatcher.tex %% %% This comes from Hatcher's spectral sequences book. I think it's a good demonstration of the flexibility of sseqpages. %% Thanks to Antonio Ruiz for suggesting it. %% \documentclass{spectralsequence-example} \usepackage{amssymb} \def\Z{\mathbb{Z}} \begin{document} \sseqset{ 0/.sseq style={"0",draw=none}, homological Serre grading, classes={draw=none,inner sep=0.2em}, %tick gap=0.7em, } \begin{sseqdata}[ name=hatcherex1, permanent cycles={draw,minimum width={width("$Z_2$")+0.85em}}, yscale=0.6, axes gap=0.5cm, tick gap=1em, ] \begin{scope}[background,opacity=0.1] \foreach \n in {1,3,...,9}{ \fill(-1.3,\n-0.5)--(-1.3,\n+0.5)--(0,\n+0.5)--(\n+0.5,0)--(\n+0.5,-2)--(\n-0.5,-2)--(\n-0.5,0)--(0,\n-0.5)--cycle; } \end{scope} \class["\Z"](0,0) \foreach\x in {1,3,...,9}{ \class["\Z_2"](\x,0) } \foreach \x in {2,4,...,8}{ \class[0](\x,0) } \foreach\y in {1,3,...,9}{ \pgfmathparse{9-\y} \let\xmax\pgfmathresult \foreach\x in {0,...,\xmax}{ \class["\Z_2"](\x,\y) } } \foreach \y in {2,4,...,8}{ \pgfmathparse{9-\y} \let\xmax\pgfmathresult \foreach\x in {0,...,\xmax}{ \class[0](\x,\y) } } \foreach \x in {3,5,...,9}{ \d2(\x,0) } \d3(4,1) \d3(6,1) \d3(8,1) \d3(4,3) \d3(6,3) \d3(4,5) \end{sseqdata} \printpage[name=hatcherex1,page=0] \vskip30pt \begin{sseqdata}[ name=hatcherex2, yscale=0.6, x axis gap=0.3cm, ] \begin{scope}[background,opacity=0.1] \foreach \n in {1,3,...,9}{ \fill(-1.3,\n-0.5)--(-1.3,\n+0.7)--(0,\n+0.7)--(\n+0.5,0)--(\n+0.5,-2)--(\n-0.5,-2)--(\n-0.5,0)--(0,\n-0.5)--cycle; } \end{scope} \foreach\x in {0,2,...,8}{ \class["\Z"](\x,0) } \foreach \x in {1,3,...,9}{ \class[0](\x,0) } \foreach\y in {1,3,...,9}{ \pgfmathparse{9-\y} \let\xmax\pgfmathresult \foreach\x in {0,...,\xmax}{ \pgfmathparse{int(mod(\x,2))} \ifnum\pgfmathresult=0\relax \class["\Z_2"](\x,\y) \else \class[0](\x,\y) \fi } } \d2(2,0) \foreach \x in {4,6,...,8}{ \foreach\r in {2,4,...,\x}{ \d\r(\x,0) \replaceclass["\Z"](\x,0) } } \foreach \y in {2,4,...,8}{ \pgfmathparse{9-\y} \let\xmax\pgfmathresult \foreach\x in {0,...,\xmax}{ \class[0](\x,\y) } } \end{sseqdata} \printpage[name=hatcherex2,page=0] \end{document}