Image:10-cube column graph.gif

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[edit] Summary

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 1:10:45:120:210:252:210:120:45:10:1 in the case of this 10-cube.

Note: Starting with the tesseract the orthogonal projection shows vertices overlapping. The counts of vertices at each 2d location are represented by colors, red, orange, yellow, green, etc.

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