Keywords: Hypercubeorder binary.svg The <nowiki>4D-</nowiki>hypercube layered according to distance from one corner <br />As described in Alice in Wonderland by the Cheshire Cat this vertex-first-shadow of the tesseract forms a rhombic dodecahedron <br /> Note that the two central green vertices should coincide if using an orthogonal projection from 4 to 3 dimensions but were drawn here slightly apart <br /> The eight nibbles with odd binary digit sums form a cube and are marked in white <br /> The two pallindromes 0110 and 1001 compare XOR and XNOR are projected in the center of the rhombic dodecahedron and are marked in green <br /> The other six nibbles with even binary digit sums form an octahedron and are marked in blue <br> 300px Inkscape ValidSVG own 2010 Watchduck public domain 300px Rhombic dodecahedral tesseract shadow; 16 vertices 2-fold rotational symmetry Binary numeral system Tesseract Hasse diagrams Colored nibbles blue green white |