Image:4-cube column graph.gif

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4-hypercube (tesseract) graph

This hypercube graph is an orthogonal projection. This oriented projection shows columns of vertices positioned a vertex-edge-vertex distance from one vertex on the left to one vertex on the right, and edges attaching adjacent columns of vertices. The number of vertices in each column represents rows in Pascal's triangle, being 1:4:6:4:1 in the case of a 4-cube (tesseract).

Note: Starting with the tesseract the orthogonal projection shows vertices overlapping (Here one orange vertex in the center is actually two in the same direction). The counts of vertices at each 2d location are represented by colors, red, orange, yellow, green, etc.

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current01:24, 15 December 2007422×418 (4 KB)Tomruen (Talk | contribs) (3-hypercube (cube) graph )

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