File:7-cube column graph.svg
Summary
7-<a href="https://en.wikipedia.org/wiki/Hypercube" class="extiw" title="en:Hypercube">hypercube</a> (<a href="https://en.wikipedia.org/wiki/Hepteract" class="extiw" title="en:Hepteract">hepteract</a>) graph.
This hypercube graph is an <a href="https://en.wikipedia.org/wiki/Projection_(linear_algebra)#Orthogonal_projections" class="extiw" title="en:Projection (linear algebra)">orthogonal projection</a>. 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 <a href="https://en.wikipedia.org/wiki/Pascal%27s_triangle" class="extiw" title="en:Pascal's triangle">Pascal's triangle</a>, being 1:7:21:35:21:7:1 in the case of a 7-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=1, orange=2, yellow=3, yellow-green=4, green=5
Licensing
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:50, 17 January 2017 | | 510 × 440 (8 KB) | 127.0.0.1 (talk) | 7-<a href="https://en.wikipedia.org/wiki/Hypercube" class="extiw" title="en:Hypercube">hypercube</a> (<a href="https://en.wikipedia.org/wiki/Hepteract" class="extiw" title="en:Hepteract">hepteract</a>) graph. <p>This hypercube graph is an <a href="https://en.wikipedia.org/wiki/Projection_(linear_algebra)#Orthogonal_projections" class="extiw" title="en:Projection (linear algebra)">orthogonal projection</a>. 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 <a href="https://en.wikipedia.org/wiki/Pascal%27s_triangle" class="extiw" title="en:Pascal's triangle">Pascal's triangle</a>, being 1:7:21:35:21:7:1 in the case of a 7-cube. </p> Note: Starting with the tesseract the orthogonal projection shows vertices overlapping. The counts of vertices at each 2d location are represented by colors, red=1, orange=2, yellow=3, yellow-green=4, green=5 |
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