| Acronym | scadpy |
| Name | (degenerate) scad pyramid |
| Circumradius | ∞ i.e. flat in euclidean space |
| Face vector | 31, 150, 330, 390, 242, 63 |
| Confer |
|
It either can be thought of as a degenerate 6D segmentotope with zero height, or as a 5D euclidean decomposition of the larger base into smaller bits.
Incidence matrix according to Dynkin symbol
ox3oo3oo3oo3ox&#x → height = 0
(pt || scad)
o.3o.3o.3o.3o. | 1 * ♦ 30 0 | 120 0 0 | 120 90 0 0 | 60 120 0 0 0 | 12 30 20 0
.o3.o3.o3.o3.o | * 30 | 1 8 | 8 12 12 | 12 12 8 24 | 8 24 2 8 6 | 2 8 6 1
--------------------+------+--------+------------+---------------+-----------------+-----------
oo3oo3oo3oo3oo&#x | 1 1 | 30 * ♦ 8 0 0 | 12 12 0 0 | 8 24 0 0 0 | 2 8 6 0
.x .. .. .. .. & | 0 2 | * 120 | 1 3 3 | 3 3 3 9 | 3 9 1 4 3 | 1 4 3 1
--------------------+------+--------+------------+---------------+-----------------+-----------
ox .. .. .. ..&#x & | 1 2 | 2 1 | 120 * * | 3 3 0 0 | 3 9 0 0 0 | 1 4 3 0
.x3.o .. .. .. & | 0 3 | 0 3 | * 120 * | 1 0 2 2 | 2 2 1 2 1 | 1 2 1 1
.x .. .. .. .x | 0 4 | 0 4 | * * 90 | 0 1 0 4 | 0 4 0 2 2 | 0 2 2 1
--------------------+------+--------+------------+---------------+-----------------+-----------
ox3oo .. .. ..&#x & ♦ 1 3 | 3 3 | 3 1 0 | 120 * * * | 2 2 0 0 0 | 1 2 1 0
ox .. .. .. ox&#x ♦ 1 4 | 4 4 | 4 0 1 | * 90 * * | 0 4 0 0 0 | 0 2 2 0
.x3.o3.o .. .. & ♦ 0 4 | 0 6 | 0 4 0 | * * 60 * | 1 0 1 1 0 | 1 1 0 1
.x3.o .. .. .x & ♦ 0 6 | 0 9 | 0 2 3 | * * * 120 | 0 1 0 1 1 | 0 1 1 1
--------------------+------+--------+------------+---------------+-----------------+-----------
ox3oo3oo .. ..&#x & ♦ 1 4 | 4 6 | 6 4 0 | 4 0 1 0 | 60 * * * * | 1 1 0 0
ox3oo .. .. ox&#x & ♦ 1 6 | 6 9 | 9 2 3 | 2 3 0 1 | * 120 * * * | 0 1 1 0
.x3.o3.o3.o .. & ♦ 0 5 | 0 10 | 0 10 0 | 0 0 5 0 | * * 12 * * | 1 0 0 1
.x3.o3.o .. .x & ♦ 0 8 | 0 16 | 0 8 6 | 0 0 2 4 | * * * 30 * | 0 1 0 1
.x3.o .. .o3.x ♦ 0 9 | 0 18 | 0 6 9 | 0 0 0 6 | * * * * 20 | 0 0 1 1
--------------------+------+--------+------------+---------------+-----------------+-----------
ox3oo3oo3oo ..&#x & ♦ 1 5 | 5 10 | 10 10 0 | 10 0 5 0 | 5 0 1 0 0 | 12 * * *
ox3oo3oo .. ox&#x & ♦ 1 8 | 8 16 | 16 8 6 | 8 6 2 4 | 2 4 0 1 0 | * 30 * *
ox3oo .. oo3ox&#x ♦ 1 9 | 9 18 | 18 6 9 | 6 9 0 6 | 0 6 0 0 1 | * * 20 *
.x3.o3.o3.o3.x ♦ 0 30 | 0 120 | 0 120 90 | 0 0 60 120 | 0 0 12 30 20 | * * * 1
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