From 8d11c6c8213f46f0fa19826917c255edd5d43cb1 Mon Sep 17 00:00:00 2001 From: mzuenni Date: Sun, 28 Jul 2024 22:54:40 +0200 Subject: Test (#4) * update * moved content in subdir * rename file * add test setup * add test setup * add github action * automaticly test all cpp files * timeout after 10s * setulimit and dont zero memory * test build pdf * install latexmk * update * update * ngerman * fonts * removed old code * add first test * added tests * test in sorted order * more tests * simplified test * more tests * fix suffix tree * fixes and improvements * done ust lst directly * fix swap * add links to pdf * fix constants * add primorial * add comment * various improvements * more tests * added missing stuf * more tests * fix tests * more tests * more tests * more tests * fix recursion? * test trie * more tests * only use python temporarily for listings * only use python temporarily for listings * more tests * fix longestCommonSubstring * more tests * more tests * made code more similiar * fix? * more tests * more tests * more tests * add ahoCorasick test + limit 4GB stack size * more tests * fix test * add additional test * more tests * more tests * fix? * better fix * fix virtual tree * more tests * more tests * recursive closest pair * more tests * decrease limit * new tests * more tests * fix name * more tests * add test * new test * more tests * more tests * more tests * more tests * new test and content * new code * new code * larger tests * fix and test * new test * new test * update pdf * remove comments * new test * more tests * more testcases * more tests * increased limit * more tests * more tests * more tests * new tests * more tests * shortened code * new test * add basic tests for bigint * more tests * removed old files * new test * ignore some files * more auto more ccw * fix test * more tests * fix * new tests * more tests * more tests * stronger test * actually verify delaunay... * more tests * fix header * more tests * run tests parallel? * test parralel? * add --missing * separate workflows * test * is the pdf checked? * separate workflows * fix workflow * more workflows --------- Co-authored-by: Yidi --- content/math/tables/platonic.tex | 39 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 39 insertions(+) create mode 100644 content/math/tables/platonic.tex (limited to 'content/math/tables/platonic.tex') diff --git a/content/math/tables/platonic.tex b/content/math/tables/platonic.tex new file mode 100644 index 0000000..f4ee554 --- /dev/null +++ b/content/math/tables/platonic.tex @@ -0,0 +1,39 @@ +\begin{tabularx}{\linewidth}{|X|CCCX|} + \hline + \multicolumn{5}{|c|}{Platonische Körper} \\ + \hline + Übersicht & Seiten & Ecken & Kanten & dual zu \\ + \hline + Tetraeder & 4 & 4 & 6 & Tetraeder \\ + Würfel/Hexaeder & 6 & 8 & 12 & Oktaeder \\ + Oktaeder & 8 & 6 & 12 & Würfel/Hexaeder\\ + Dodekaeder & 12 & 20 & 30 & Ikosaeder \\ + Ikosaeder & 20 & 12 & 30 & Dodekaeder \\ + \hline + \multicolumn{5}{|c|}{Färbungen mit maximal $n$ Farben (bis auf Isomorphie)} \\ + \hline + \multicolumn{3}{|l}{Ecken vom Oktaeder/Seiten vom Würfel} & + \multicolumn{2}{l|}{$(n^6 + 3n^4 + 12n^3 + 8n^2)/24$} \\ + + \multicolumn{3}{|l}{Ecken vom Würfel/Seiten vom Oktaeder} & + \multicolumn{2}{l|}{$(n^8 + 17n^4 + 6n^2)/24$} \\ + + \multicolumn{3}{|l}{Kanten vom Würfel/Oktaeder} & + \multicolumn{2}{l|}{$(n^{12} + 6n^7 + 3n^6 + 8n^4 + 6n^3)/24$} \\ + + \multicolumn{3}{|l}{Ecken/Seiten vom Tetraeder} & + \multicolumn{2}{l|}{$(n^4 + 11n^2)/12$} \\ + + \multicolumn{3}{|l}{Kanten vom Tetraeder} & + \multicolumn{2}{l|}{$(n^6 + 3n^4 + 8n^2)/12$} \\ + + \multicolumn{3}{|l}{Ecken vom Ikosaeder/Seiten vom Dodekaeder} & + \multicolumn{2}{l|}{$(n^{12} + 15n^6 + 44n^4)/60$} \\ + + \multicolumn{3}{|l}{Ecken vom Dodekaeder/Seiten vom Ikosaeder} & + \multicolumn{2}{l|}{$(n^{20} + 15n^{10} + 20n^8 + 24n^4)/60$} \\ + + \multicolumn{3}{|l}{Kanten vom Dodekaeder/Ikosaeder (evtl. falsch)} & + \multicolumn{2}{l|}{$(n^{30} + 15n^{16} + 20n^{10} + 24n^6)/60$} \\ + \hline +\end{tabularx} -- cgit v1.2.3