{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Two rectangles. Their joint convex hull is an octagon. This octagon arises as the projection of a distorted cube (use your imagination). Moreover, that octagon has the same 0-skeleton as the 3-cube, i.e., it also has 8 vertices." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "
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\n", "polymake: used package lrs\n", " Implementation of the reverse search algorithm of Avis and Fukuda.\n", " Copyright by David Avis.\n", " http://cgm.cs.mcgill.ca/~avis/C/lrs.html\n", "\n", "polymake: used package threejs\n", " Three.js is a lightweight cross-browser JavaScript library/API used to create and display animated 3D computer graphics on a Web browser.\n", " See http://github.com/mrdoob for the source code.\n", "\n", "\n", "
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\n", "polymake: used package bliss\n", " Computation of automorphism groups of graphs.\n", " Copyright by Tommi Junttila and Petteri Kaski.\n", " http://www.tcs.hut.fi/Software/bliss/\n", "\n", "
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\n", "polymake: used package tikz\n", " TikZ, a graphical toolkit for LaTeX.\n", " http://pgf.sourceforge.net.\n", "\n", "\n", "