Acronym | squappy |
Name | square-antiprismatical pyramid |
Segmentochoron display | |
Circumradius | sqrt[(4+sqrt(2))/7] = 0.879465 |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles | |
Face vector | 9, 24, 26, 11 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
pt || squap → height = sqrt[(4-sqrt(2))/8] = 0.568527
1 * ♦ 8 0 0 | 8 8 0 0 | 2 8 0
* 8 | 1 2 2 | 2 2 1 3 | 1 3 1
----+-------+---------+------
1 1 | 8 * * | 2 2 0 0 | 1 3 0
0 2 | * 8 * | 1 0 1 1 | 1 1 1
0 2 | * * 8 | 0 1 0 2 | 0 2 1
----+-------+---------+------
1 2 | 2 1 0 | 8 * * * | 1 1 0
1 2 | 2 0 1 | * 8 * * | 0 2 0
0 4 | 0 4 0 | * * 2 * | 1 0 1 {4}
0 3 | 0 1 2 | * * * 8 | 0 1 1
----+-------+---------+------
1 4 | 4 4 0 | 4 0 1 0 | 2 * * squippy
1 3 | 3 1 2 | 1 2 0 1 | * 8 * tet
0 8 | 0 8 8 | 0 0 2 8 | * * 1 squap
oxo4oox&#x → height(1,2) = height(1,3) = 1/sqrt(2) = 0.707107 height(2,3) = 1/sqrt(sqrt(2)) = 0.840896 ( (pt || dual {4}) || {4}) o..4o.. | 1 * * ♦ 4 4 0 0 0 | 4 4 8 0 0 0 0 | 1 1 4 4 0 .o.4.o. | * 4 * | 1 0 2 2 0 | 2 0 2 1 2 1 0 | 1 0 2 1 1 ..o4..o | * * 4 | 0 1 0 2 2 | 0 2 2 0 1 2 1 | 0 1 1 2 1 -----------+-------+-----------+---------------+---------- oo.4oo.&#x | 1 1 0 | 4 * * * * | 2 0 2 0 0 0 0 | 1 0 2 1 0 o.o4o.o&#x | 1 0 1 | * 4 * * * | 0 2 2 0 0 0 0 | 0 1 1 2 0 .x. ... | 0 2 0 | * * 4 * * | 1 0 0 1 1 0 0 | 1 0 1 0 1 .oo4.oo&#x | 0 1 1 | * * * 8 * | 0 0 1 0 1 1 0 | 0 0 1 1 1 ... ..x | 0 0 2 | * * * * 4 | 0 1 0 0 0 1 1 | 0 1 0 1 1 -----------+-------+-----------+---------------+---------- ox. ...&#x | 1 2 0 | 2 0 1 0 0 | 4 * * * * * * | 1 0 1 0 0 ... o.x&#x | 1 0 2 | 0 2 0 0 1 | * 4 * * * * * | 0 1 0 1 0 ooo4ooo&#x | 1 1 1 | 1 1 0 1 0 | * * 8 * * * * | 0 0 1 1 0 .x.4.o. | 0 4 0 | 0 0 4 0 0 | * * * 1 * * * | 1 0 0 0 1 .xo ...&#x | 0 2 1 | 0 0 1 2 0 | * * * * 4 * * | 0 0 1 0 1 ... .ox&#x | 0 1 2 | 0 0 0 2 1 | * * * * * 4 * | 0 0 0 1 1 ..o4..x | 0 0 4 | 0 0 0 0 4 | * * * * * * 1 | 0 1 0 0 1 -----------+-------+-----------+---------------+---------- ox.4oo.&#x ♦ 1 4 0 | 4 0 4 0 0 | 4 0 0 1 0 0 0 | 1 * * * * o.o4o.x&#x ♦ 1 0 4 | 0 4 0 0 4 | 0 4 0 0 0 0 1 | * 1 * * * oxo ...&#x ♦ 1 2 1 | 2 1 1 2 0 | 1 0 2 0 1 0 0 | * * 4 * * ... oox&#x ♦ 1 1 2 | 1 2 0 2 1 | 0 1 2 0 0 1 0 | * * * 4 * .xo4.ox&#x ♦ 0 4 4 | 0 0 4 8 4 | 0 0 0 1 4 4 1 | * * * * 1
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