| Acronym | scanta cappin, scant || cappin |
| Name | (degenerate) scant atop cappin |
| Circumradius | ∞ i.e. flat in euclidean space |
| Face vector | 800, 3520, 6160, 5200, 2004, 244 |
| 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
xx3ox3oo3oo4xx&#x → height = 0
(scant || cappin)
o.3o.3o.3o.4o. | 160 * | 4 4 4 0 0 0 | 6 12 6 4 6 12 0 0 0 0 0 | 4 12 12 4 6 12 4 12 12 0 0 0 0 0 0 0 | 1 4 6 4 1 4 12 12 1 4 6 4 0 0 0 0 0 | 1 1 4 6 4 1 0
.o3.o3.o3.o4.o | * 640 | 0 0 1 1 3 3 | 0 0 0 1 3 3 3 3 3 6 3 | 0 0 0 0 3 3 3 6 3 3 6 3 1 3 3 1 | 0 0 0 0 0 3 6 3 1 3 3 1 1 3 3 1 1 | 0 1 3 3 1 1 1
------------------+---------+-------------------------+---------------------------------------------+---------------------------------------------------------------+----------------------------------------------------------+-------------------
x. .. .. .. .. | 2 0 | 320 * * * * * | 3 3 0 1 0 0 0 0 0 0 0 | 3 6 3 0 3 3 0 0 0 0 0 0 0 0 0 0 | 1 3 3 1 0 3 6 3 0 0 0 0 0 0 0 0 0 | 1 1 3 3 1 0 0
.. .. .. .. x. | 2 0 | * 320 * * * * | 0 3 3 0 0 3 0 0 0 0 0 | 0 3 6 3 0 3 0 3 6 0 0 0 0 0 0 0 | 0 1 3 3 1 0 3 6 0 1 3 3 0 0 0 0 0 | 1 0 1 3 3 1 0
oo3oo3oo3oo4oo&#x | 1 1 | * * 640 * * * | 0 0 0 1 3 3 0 0 0 0 0 | 0 0 0 0 3 3 3 6 3 0 0 0 0 0 0 0 | 0 0 0 0 0 3 6 3 1 3 3 1 0 0 0 0 0 | 0 1 3 3 1 1 0
.x .. .. .. .. | 0 2 | * * * 320 * * | 0 0 0 1 0 0 3 3 0 0 0 | 0 0 0 0 3 3 0 0 0 3 6 3 0 0 0 0 | 0 0 0 0 0 3 6 3 0 0 0 0 1 3 3 1 0 | 0 1 3 3 1 0 1
.. .x .. .. .. | 0 2 | * * * * 960 * | 0 0 0 0 1 0 1 0 2 2 0 | 0 0 0 0 1 0 2 2 0 2 2 0 1 2 1 0 | 0 0 0 0 0 2 2 0 1 2 1 0 1 2 1 0 1 | 0 1 2 1 0 1 1
.. .. .. .x .. | 0 2 | * * * * * 960 | 0 0 0 0 0 1 0 1 0 2 2 | 0 0 0 0 0 1 0 2 2 0 2 2 0 1 2 1 | 0 0 0 0 0 0 2 2 0 1 2 1 0 1 2 1 1 | 0 0 1 2 1 1 1
------------------+---------+-------------------------+---------------------------------------------+---------------------------------------------------------------+----------------------------------------------------------+-------------------
x.3o. .. .. .. | 3 0 | 3 0 0 0 0 0 | 320 * * * * * * * * * * | 2 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 2 2 0 0 0 0 0 0 0 0 0 0 | 1 1 2 1 0 0 0
x. .. .. .. x. | 4 0 | 2 2 0 0 0 0 | * 480 * * * * * * * * * | 0 2 2 0 0 1 0 0 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 2 2 0 0 0 0 0 0 0 0 0 | 1 0 1 2 1 0 0
.. .. .. o.4x. | 4 0 | 0 4 0 0 0 0 | * * 240 * * * * * * * * | 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 | 0 0 1 2 1 0 0 2 0 0 1 2 0 0 0 0 0 | 1 0 0 1 2 1 0
xx .. .. .. ..&#x | 2 2 | 1 0 2 1 0 0 | * * * 320 * * * * * * * | 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 3 6 3 0 0 0 0 0 0 0 0 0 | 0 1 3 3 1 0 0
.. ox .. .. ..&#x | 1 2 | 0 0 2 0 1 0 | * * * * 960 * * * * * * | 0 0 0 0 1 0 2 2 0 0 0 0 0 0 0 0 | 0 0 0 0 0 2 2 0 1 2 1 0 0 0 0 0 0 | 0 1 2 1 0 1 0
.. .. .. .. xx&#x | 2 2 | 0 1 2 0 0 1 | * * * * * 960 * * * * * | 0 0 0 0 0 1 0 2 2 0 0 0 0 0 0 0 | 0 0 0 0 0 0 2 2 0 1 2 1 0 0 0 0 0 | 0 0 1 2 1 1 0
.x3.x .. .. .. | 0 6 | 0 0 0 3 3 0 | * * * * * * 320 * * * * | 0 0 0 0 1 0 0 0 0 2 2 0 0 0 0 0 | 0 0 0 0 0 2 2 0 0 0 0 0 1 2 1 0 0 | 0 1 2 1 0 0 1
.x .. .. .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * * 480 * * * | 0 0 0 0 0 1 0 0 0 0 2 2 0 0 0 0 | 0 0 0 0 0 0 2 2 0 0 0 0 0 1 2 1 0 | 0 0 1 2 1 0 1
.. .x3.o .. .. | 0 3 | 0 0 0 0 3 0 | * * * * * * * * 640 * * | 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 0 | 0 0 0 0 0 1 0 0 1 1 0 0 1 1 0 0 1 | 0 1 1 0 0 1 1
.. .x .. .. .x | 0 4 | 0 0 0 0 2 2 | * * * * * * * * * 960 * | 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 | 0 0 0 0 0 0 1 0 0 1 1 0 0 1 1 0 1 | 0 0 1 1 0 1 1
.. .. .. .o4.x | 0 4 | 0 0 0 0 0 4 | * * * * * * * * * * 480 | 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 | 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 0 1 1 1 1
------------------+---------+-------------------------+---------------------------------------------+---------------------------------------------------------------+----------------------------------------------------------+-------------------
x.3o.3o. .. .. ♦ 4 0 | 6 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 | 160 * * * * * * * * * * * * * * * | 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0
x.3o. .. .. x. ♦ 6 0 | 6 3 0 0 0 0 | 2 3 0 0 0 0 0 0 0 0 0 | * 320 * * * * * * * * * * * * * * | 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0
x. .. .. o.4x. ♦ 8 0 | 4 8 0 0 0 0 | 0 4 2 0 0 0 0 0 0 0 0 | * * 240 * * * * * * * * * * * * * | 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 0
.. .. o.3o.4x. ♦ 8 0 | 0 12 0 0 0 0 | 0 0 6 0 0 0 0 0 0 0 0 | * * * 80 * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 | 1 0 0 0 1 1 0
xx3ox .. .. ..&#x ♦ 3 6 | 3 0 6 3 3 0 | 1 0 0 3 3 0 1 0 0 0 0 | * * * * 320 * * * * * * * * * * * | 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 0
xx .. .. .. xx&#x ♦ 4 4 | 2 2 4 2 0 2 | 0 1 0 2 0 2 0 1 0 0 0 | * * * * * 480 * * * * * * * * * * | 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 | 0 0 1 2 1 0 0
.. ox3oo .. ..&#x ♦ 1 3 | 0 0 3 0 3 0 | 0 0 0 0 3 0 0 0 1 0 0 | * * * * * * 640 * * * * * * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 | 0 1 1 0 0 1 0
.. ox .. .. xx&#x ♦ 2 4 | 0 1 4 0 2 2 | 0 0 0 0 2 2 0 0 0 1 0 | * * * * * * * 960 * * * * * * * * | 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 | 0 0 1 1 0 1 0
.. .. .. oo4xx&#x ♦ 4 4 | 0 4 4 0 0 4 | 0 0 1 0 0 4 0 0 0 0 1 | * * * * * * * * 480 * * * * * * * | 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 0 1 1 1 0
.x3.x3.o .. .. ♦ 0 12 | 0 0 0 6 12 0 | 0 0 0 0 0 0 4 0 4 0 0 | * * * * * * * * * 160 * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 | 0 1 1 0 0 0 1
.x3.x .. .. .x ♦ 0 12 | 0 0 0 6 6 6 | 0 0 0 0 0 0 2 3 0 3 0 | * * * * * * * * * * 320 * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 | 0 0 1 1 0 0 1
.x .. .. .o4.x ♦ 0 8 | 0 0 0 4 0 8 | 0 0 0 0 0 0 0 4 0 0 2 | * * * * * * * * * * * 240 * * * * | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 0 1 1 0 1
.. .x3.o3.o .. ♦ 0 4 | 0 0 0 0 6 0 | 0 0 0 0 0 0 0 0 4 0 0 | * * * * * * * * * * * * 160 * * * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 | 0 1 0 0 0 1 1
.. .x3.o .. .x ♦ 0 6 | 0 0 0 0 6 3 | 0 0 0 0 0 0 0 0 2 3 0 | * * * * * * * * * * * * * 320 * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 0 1 0 0 1 1
.. .x .. .o4.x ♦ 0 8 | 0 0 0 0 4 8 | 0 0 0 0 0 0 0 0 0 4 2 | * * * * * * * * * * * * * * 240 * | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 0 1 0 1 1
.. .. .o3.o4.x ♦ 0 8 | 0 0 0 0 0 12 | 0 0 0 0 0 0 0 0 0 0 6 | * * * * * * * * * * * * * * * 80 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 0 1 1 1
------------------+---------+-------------------------+---------------------------------------------+---------------------------------------------------------------+----------------------------------------------------------+-------------------
x.3o.3o.3o. .. ♦ 5 0 | 10 0 0 0 0 0 | 10 0 0 0 0 0 0 0 0 0 0 | 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32 * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0
x.3o.3o. .. x. ♦ 8 0 | 12 4 0 0 0 0 | 8 6 0 0 0 0 0 0 0 0 0 | 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 80 * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0
x.3o. .. o.4x. ♦ 12 0 | 12 12 0 0 0 0 | 4 12 3 0 0 0 0 0 0 0 0 | 0 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 80 * * * * * * * * * * * * * * | 1 0 0 1 0 0 0
x. .. o.3o.4x. ♦ 16 0 | 8 24 0 0 0 0 | 0 12 12 0 0 0 0 0 0 0 0 | 0 0 6 2 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 40 * * * * * * * * * * * * * | 1 0 0 0 1 0 0
.. o.3o.3o.4x. ♦ 16 0 | 0 32 0 0 0 0 | 0 0 24 0 0 0 0 0 0 0 0 | 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 10 * * * * * * * * * * * * | 1 0 0 0 0 1 0
xx3ox3oo .. ..&#x ♦ 4 12 | 6 0 12 6 12 0 | 4 0 0 6 12 0 4 0 4 0 0 | 1 0 0 0 4 0 4 0 0 1 0 0 0 0 0 0 | * * * * * 160 * * * * * * * * * * * | 0 1 1 0 0 0 0
xx3ox .. .. xx&#x ♦ 6 12 | 6 3 12 6 6 6 | 2 3 0 6 6 6 2 3 0 3 0 | 0 1 0 0 2 3 0 3 0 0 1 0 0 0 0 0 | * * * * * * 320 * * * * * * * * * * | 0 0 1 1 0 0 0
xx .. .. oo4xx&#x ♦ 8 8 | 4 8 8 4 0 8 | 0 4 2 4 0 8 0 4 0 0 2 | 0 0 1 0 0 4 0 0 2 0 0 1 0 0 0 0 | * * * * * * * 240 * * * * * * * * * | 0 0 0 1 1 0 0
.. ox3oo3oo ..&#x ♦ 1 4 | 0 0 4 0 6 0 | 0 0 0 0 6 0 0 0 4 0 0 | 0 0 0 0 0 0 4 0 0 0 0 0 1 0 0 0 | * * * * * * * * 160 * * * * * * * * | 0 1 0 0 0 1 0
.. ox3oo .. xx&#x ♦ 2 6 | 0 1 6 0 6 3 | 0 0 0 0 6 3 0 0 2 3 0 | 0 0 0 0 0 0 2 3 0 0 0 0 0 1 0 0 | * * * * * * * * * 320 * * * * * * * | 0 0 1 0 0 1 0
.. ox .. oo4xx&#x ♦ 4 8 | 0 4 8 0 4 8 | 0 0 1 0 4 8 0 0 0 4 2 | 0 0 0 0 0 0 0 4 2 0 0 0 0 0 1 0 | * * * * * * * * * * 240 * * * * * * | 0 0 0 1 0 1 0
.. .. oo3oo4xx&#x ♦ 8 8 | 0 12 8 0 0 12 | 0 0 6 0 0 12 0 0 0 0 6 | 0 0 0 1 0 0 0 0 6 0 0 0 0 0 0 1 | * * * * * * * * * * * 80 * * * * * | 0 0 0 0 1 1 0
.x3.x3.o3.o .. ♦ 0 20 | 0 0 0 10 30 0 | 0 0 0 0 0 0 10 0 20 0 0 | 0 0 0 0 0 0 0 0 0 5 0 0 5 0 0 0 | * * * * * * * * * * * * 32 * * * * | 0 1 0 0 0 0 1
.x3.x3.o .. .x ♦ 0 24 | 0 0 0 12 24 12 | 0 0 0 0 0 0 8 6 8 12 0 | 0 0 0 0 0 0 0 0 0 2 4 0 0 4 0 0 | * * * * * * * * * * * * * 80 * * * | 0 0 1 0 0 0 1
.x3.x .. .o4.x ♦ 0 24 | 0 0 0 12 12 24 | 0 0 0 0 0 0 4 12 0 12 6 | 0 0 0 0 0 0 0 0 0 0 4 3 0 0 3 0 | * * * * * * * * * * * * * * 80 * * | 0 0 0 1 0 0 1
.x .. .o3.o4.x ♦ 0 16 | 0 0 0 8 0 24 | 0 0 0 0 0 0 0 12 0 0 12 | 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 2 | * * * * * * * * * * * * * * * 40 * | 0 0 0 0 1 0 1
.. .x3.o3.o4.x ♦ 0 64 | 0 0 0 0 96 96 | 0 0 0 0 0 0 0 0 64 96 48 | 0 0 0 0 0 0 0 0 0 0 0 0 16 32 24 8 | * * * * * * * * * * * * * * * * 10 | 0 0 0 0 0 1 1
------------------+---------+-------------------------+---------------------------------------------+---------------------------------------------------------------+----------------------------------------------------------+-------------------
x.3o.3o.3o.4x. ♦ 160 0 | 320 320 0 0 0 0 | 320 480 240 0 0 0 0 0 0 0 0 | 160 320 240 80 0 0 0 0 0 0 0 0 0 0 0 0 | 32 80 80 40 10 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * *
xx3ox3oo3oo ..&#x ♦ 5 20 | 10 0 20 10 30 0 | 10 0 0 10 30 0 10 0 20 0 0 | 5 0 0 0 10 0 20 0 0 5 0 0 5 0 0 0 | 1 0 0 0 0 5 0 0 5 0 0 0 1 0 0 0 0 | * 32 * * * * *
xx3ox3oo .. xx&#x ♦ 8 24 | 12 4 24 12 24 12 | 8 6 0 12 24 12 8 6 8 12 0 | 2 4 0 0 8 6 8 12 0 2 4 0 0 4 0 0 | 0 1 0 0 0 2 4 0 0 4 0 0 0 1 0 0 0 | * * 80 * * * *
xx3ox .. oo4xx&#x ♦ 12 24 | 12 12 24 12 12 24 | 4 12 3 12 12 24 4 12 0 12 6 | 0 4 3 0 4 12 0 12 6 0 4 3 0 0 3 0 | 0 0 1 0 0 0 4 3 0 0 3 0 0 0 1 0 0 | * * * 80 * * *
xx .. oo3oo4xx&#x ♦ 16 16 | 8 24 16 8 0 24 | 0 12 12 8 0 24 0 12 0 0 12 | 0 0 6 2 0 12 0 0 12 0 0 6 0 0 0 2 | 0 0 0 1 0 0 0 6 0 0 0 2 0 0 0 1 0 | * * * * 40 * *
.. ox3oo3oo4xx&#x ♦ 16 64 | 0 32 64 0 96 96 | 0 0 24 0 96 96 0 0 64 96 48 | 0 0 0 8 0 0 64 96 48 0 0 0 16 32 24 8 | 0 0 0 0 1 0 0 0 16 32 24 8 0 0 0 0 1 | * * * * * 10 *
.x3.x3.o3.o4.x ♦ 0 640 | 0 0 0 320 960 960 | 0 0 0 0 0 0 320 480 640 960 480 | 0 0 0 0 0 0 0 0 0 160 320 240 160 320 240 80 | 0 0 0 0 0 0 0 0 0 0 0 0 32 80 80 40 10 | * * * * * * 1
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