| Acronym | quersa |
| Name | quasirhombated hepteract |
| Circumradius | sqrt[17-10 sqrt(2)]/2 = 0.845261 |
|
Inradius wrt. hixip | sqrt[(43-30 sqrt(2))/12 = 0.218631 |
|
Inradius wrt. qrax | (sqrt(2)-1)/2 = 0.207107 |
|
Inradius wrt. ril | sqrt[(99-70 sqrt(2))/28 = 0.0134306 |
|
Dihedral angles
(at margins) | |
| Face vector | 2688, 16128, 29792, 27440, 15064, 4564, 590 |
| Confer |
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As abstract polytope quersa is isomorphic to sersa, thereby replacing querco by sirco, qrit by srit, quarn by sirn, and qrax by srox. – As such quersa is a lieutenant.
Incidence matrix according to Dynkin symbol
o3o3o3o3x3o4/3x . . . . . . . | 2688 | 10 2 | 20 5 10 1 | 20 10 20 5 | 10 10 20 10 | 2 5 10 10 | 1 2 5 ----------------+------+------------+---------------------+---------------------+--------------------+-----------------+----------- . . . . x . . | 2 | 13440 * | 4 1 1 0 | 6 4 4 1 | 4 6 6 4 | 1 4 4 6 | 1 1 4 . . . . . . x | 2 | * 2688 | 0 0 5 1 | 0 0 10 5 | 0 0 10 10 | 0 0 5 10 | 0 1 5 ----------------+------+------------+---------------------+---------------------+--------------------+-----------------+----------- . . . o3x . . | 3 | 3 0 | 17920 * * * | 3 1 1 0 | 3 3 3 1 | 1 3 3 3 | 1 1 3 . . . . x3o . | 3 | 3 0 | * 4480 * * | 0 4 0 1 | 0 6 0 4 | 0 4 0 6 | 1 0 4 . . . . x . x | 4 | 2 2 | * * 6720 * | 0 0 4 1 | 0 0 6 4 | 0 0 4 6 | 0 1 4 . . . . . o4/3x | 4 | 0 4 | * * * 672 | 0 0 0 5 | 0 0 0 10 | 0 0 0 10 | 0 0 5 ----------------+------+------------+---------------------+---------------------+--------------------+-----------------+----------- . . o3o3x . . ♦ 4 | 6 0 | 4 0 0 0 | 13440 * * * | 2 1 1 0 | 1 2 2 1 | 1 1 2 . . . o3x3o . ♦ 6 | 12 0 | 4 4 0 0 | * 4480 * * | 0 3 0 1 | 0 3 0 3 | 1 0 3 . . . o3x . x ♦ 6 | 6 3 | 2 0 3 0 | * * 8960 * | 0 0 3 1 | 0 0 3 3 | 0 1 3 . . . . x3o4/3x ♦ 24 | 24 24 | 0 8 12 6 | * * * 560 | 0 0 0 4 | 0 0 0 6 | 0 0 4 ----------------+------+------------+---------------------+---------------------+--------------------+-----------------+----------- . o3o3o3x . . ♦ 5 | 10 0 | 10 0 0 0 | 5 0 0 0 | 5376 * * * | 1 1 1 0 | 1 1 1 . . o3o3x3o . ♦ 10 | 30 0 | 20 10 0 0 | 5 5 0 0 | * 2688 * * | 0 2 0 1 | 1 0 2 . . o3o3x . x ♦ 8 | 12 4 | 8 0 6 0 | 2 0 4 0 | * * 6720 * | 0 0 2 1 | 0 1 2 . . . o3x3o4/3x ♦ 96 | 192 96 | 64 64 96 24 | 0 16 32 8 | * * * 280 | 0 0 0 3 | 0 0 3 ----------------+------+------------+---------------------+---------------------+--------------------+-----------------+----------- o3o3o3o3x . . ♦ 6 | 15 0 | 20 0 0 0 | 15 0 0 0 | 6 0 0 0 | 896 * * * | 1 1 0 . o3o3o3x3o . ♦ 15 | 60 0 | 60 20 0 0 | 30 15 0 0 | 6 6 0 0 | * 896 * * | 1 0 1 . o3o3o3x . x ♦ 10 | 20 5 | 20 0 10 0 | 10 0 10 0 | 2 0 5 0 | * * 2688 * | 0 1 1 . . o3o3x3o4/3x ♦ 320 | 960 320 | 640 320 480 80 | 160 160 320 40 | 0 32 80 10 | * * * 84 | 0 0 2 ----------------+------+------------+---------------------+---------------------+--------------------+-----------------+----------- o3o3o3o3x3o . ♦ 21 | 105 0 | 140 35 0 0 | 105 35 0 0 | 42 21 0 0 | 7 7 0 0 | 128 * * o3o3o3o3x . x ♦ 12 | 30 6 | 40 0 15 0 | 30 0 20 0 | 12 0 15 0 | 2 0 6 0 | * 448 * . o3o3o3x3o4/3x ♦ 960 | 3840 960 | 3840 1280 1920 240 | 1920 960 1920 160 | 384 384 960 60 | 0 64 192 12 | * * 14
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