Acronym | autip, J49 |
Name | augmented triangular prism |
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Vertex figures | [34], [33,4], [3,42] |
Coordinates |
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General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
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Face vector | 7, 13, 8 |
Confer |
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External links |
While in autip the lacing square of trip gets augmented with a pyramid (squippy), etripy similarily would have the trigonal base being augmented with a pyramid (tet).
Incidence matrix according to Dynkin symbol
oxx oxo&#xt → height(1,2) = 1/sqrt(2) = 0.707107 height(2,3) = sqrt(3)/2 = 0.866025 (pt || pseudo {4} || line) o.. o.. | 1 * * | 4 0 0 0 0 | 2 2 0 0 .o. .o. | * 4 * | 1 1 1 1 0 | 1 1 1 1 ..o ..o | * * 2 | 0 0 0 2 1 | 0 0 2 1 -----------+-------+-----------+-------- oo. oo.&#x | 1 1 0 | 4 * * * * | 1 1 0 0 .x. ... | 0 2 0 | * 2 * * * | 1 0 1 0 ... .x. | 0 2 0 | * * 2 * * | 0 1 0 1 .oo .oo&#x | 0 1 1 | * * * 4 * | 0 0 1 1 ..x ... | 0 0 2 | * * * * 1 | 0 0 2 0 -----------+-------+-----------+-------- ox. ...&#x | 1 2 0 | 2 1 0 0 0 | 2 * * * ... ox.&#x | 1 2 0 | 2 0 1 0 0 | * 2 * * .xx ...&#x | 0 2 2 | 0 1 0 2 1 | * * 2 * ... .xo&#x | 0 2 1 | 0 0 1 2 0 | * * * 2
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