Acronym | spidadeca, spid || deca |
Name | (degenerate) spid atop deca |
Circumradius | ∞ i.e. flat in euclidean space |
Face vector | 50, 240, 350, 190, 32 |
Confer |
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It either can be thought of as a degenerate 5D segmentotope with zero height, or as a 4D euclidean decomposition of the larger base into smaller bits.
Incidence matrix according to Dynkin symbol
xo3ox3ox3xo&#x → height = 0
(spid || deca)
o.3o.3o.3o. | 20 * | 3 3 6 0 0 | 3 6 3 6 3 3 6 0 0 0 | 1 3 3 1 3 3 6 1 3 3 0 0 | 1 1 3 3 1 0
.o3.o3.o3.o | * 30 | 0 0 4 2 2 | 0 0 0 2 4 4 2 1 4 1 | 0 0 0 0 2 2 1 4 2 2 2 2 | 0 2 1 1 2 1
---------------+-------+-----------------+-------------------------------+---------------------------------+--------------
x. .. .. .. | 2 0 | 30 * * * * | 2 2 0 2 0 0 0 0 0 0 | 1 2 1 0 2 1 2 0 0 0 0 0 | 1 1 2 1 0 0
.. .. .. x. | 2 0 | * 30 * * * | 0 2 2 0 0 0 2 0 0 0 | 0 1 2 1 0 0 2 0 1 2 0 0 | 1 0 1 2 1 0
oo3oo3oo3oo&#x | 1 1 | * * 120 * * | 0 0 0 1 1 1 1 0 0 0 | 0 0 0 0 1 1 1 1 1 1 0 0 | 0 1 1 1 1 0
.. .x .. .. | 0 2 | * * * 30 * | 0 0 0 0 2 0 0 1 2 0 | 0 0 0 0 2 0 0 2 1 0 2 1 | 0 2 1 0 1 1
.. .. .x .. | 0 2 | * * * * 30 | 0 0 0 0 0 2 0 0 2 1 | 0 0 0 0 0 1 0 2 0 2 1 2 | 0 1 0 1 2 1
---------------+-------+-----------------+-------------------------------+---------------------------------+--------------
x.3o. .. .. | 3 0 | 3 0 0 0 0 | 20 * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 | 1 1 1 0 0 0
x. .. .. x. | 4 0 | 2 2 0 0 0 | * 30 * * * * * * * * | 0 1 1 0 0 0 1 0 0 0 0 0 | 1 0 1 1 0 0
.. .. o.3x. | 3 0 | 0 3 0 0 0 | * * 20 * * * * * * * | 0 0 1 1 0 0 0 0 0 1 0 0 | 1 0 0 1 1 0
xo .. .. ..&#x | 2 1 | 1 0 2 0 0 | * * * 60 * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 | 0 1 1 1 0 0
.. ox .. ..&#x | 1 2 | 0 0 2 1 0 | * * * * 60 * * * * * | 0 0 0 0 1 0 0 1 1 0 0 0 | 0 1 1 0 1 0
.. .. ox ..&#x | 1 2 | 0 0 2 0 1 | * * * * * 60 * * * * | 0 0 0 0 0 1 0 1 0 1 0 0 | 0 1 0 1 1 0
.. .. .. xo&#x | 2 1 | 0 1 2 0 0 | * * * * * * 60 * * * | 0 0 0 0 0 0 1 0 1 1 0 0 | 0 0 1 1 1 0
.o3.x .. .. | 0 3 | 0 0 0 3 0 | * * * * * * * 10 * * | 0 0 0 0 2 0 0 0 0 0 2 0 | 0 2 1 0 0 1
.. .x3.x .. | 0 6 | 0 0 0 3 3 | * * * * * * * * 20 * | 0 0 0 0 0 0 0 1 0 0 1 1 | 0 1 0 0 1 1
.. .. .x3.o | 0 3 | 0 0 0 0 3 | * * * * * * * * * 10 | 0 0 0 0 0 0 0 0 0 2 0 2 | 0 0 0 1 2 1
---------------+-------+-----------------+-------------------------------+---------------------------------+--------------
x.3o.3o. .. ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 | 5 * * * * * * * * * * * | 1 1 0 0 0 0
x.3o. .. x. ♦ 6 0 | 6 3 0 0 0 | 2 3 0 0 0 0 0 0 0 0 | * 10 * * * * * * * * * * | 1 0 1 0 0 0
x. .. o.3x. ♦ 6 0 | 3 6 0 0 0 | 0 3 2 0 0 0 0 0 0 0 | * * 10 * * * * * * * * * | 1 0 0 1 0 0
.. o.3o.3x. ♦ 4 0 | 0 6 0 0 0 | 0 0 4 0 0 0 0 0 0 0 | * * * 5 * * * * * * * * | 1 0 0 0 1 0
xo3ox .. ..&#x ♦ 3 3 | 3 0 6 3 0 | 1 0 0 3 3 0 0 1 0 0 | * * * * 20 * * * * * * * | 0 1 1 0 0 0
xo .. ox ..&#x ♦ 2 2 | 1 0 4 0 1 | 0 0 0 2 0 2 0 0 0 0 | * * * * * 30 * * * * * * | 0 1 0 1 0 0
xo .. .. xo&#x ♦ 4 1 | 2 2 4 0 0 | 0 1 0 2 0 0 2 0 0 0 | * * * * * * 30 * * * * * | 0 0 1 1 0 0
.. ox3ox ..&#x ♦ 1 6 | 0 0 6 3 3 | 0 0 0 0 3 3 0 0 1 0 | * * * * * * * 20 * * * * | 0 1 0 0 1 0
.. ox .. xo&#x ♦ 2 2 | 0 1 4 1 0 | 0 0 0 0 2 0 2 0 0 0 | * * * * * * * * 30 * * * | 0 0 1 0 1 0
.. .. ox3xo&#x ♦ 3 3 | 0 3 6 0 3 | 0 0 1 0 0 3 3 0 0 1 | * * * * * * * * * 20 * * | 0 0 0 1 1 0
.o3.x3.x .. ♦ 0 12 | 0 0 0 12 6 | 0 0 0 0 0 0 0 4 4 0 | * * * * * * * * * * 5 * | 0 1 0 0 0 1
.. .x3.x3.o ♦ 0 12 | 0 0 0 6 12 | 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * 5 | 0 0 0 0 1 1
---------------+-------+-----------------+-------------------------------+---------------------------------+--------------
x.3o.3o.3x. ♦ 20 0 | 30 30 0 0 0 | 20 30 20 0 0 0 0 0 0 0 | 5 10 10 5 0 0 0 0 0 0 0 0 | 1 * * * * *
xo3ox3ox ..&#x ♦ 4 12 | 6 0 24 12 6 | 4 0 0 12 12 12 0 4 4 0 | 1 0 0 0 4 6 0 4 0 0 1 0 | * 5 * * * *
xo3ox .. xo&#x ♦ 6 3 | 6 3 12 3 0 | 2 3 0 6 6 0 6 1 0 0 | 0 1 0 0 2 0 3 0 3 0 0 0 | * * 10 * * *
xo .. ox3xo&#x ♦ 6 3 | 3 6 12 0 3 | 0 3 2 6 0 6 6 0 0 1 | 0 0 1 0 0 3 3 0 0 2 0 0 | * * * 10 * *
.. ox3ox3xo&#x ♦ 4 12 | 0 6 24 6 12 | 0 0 4 0 12 12 12 0 4 4 | 0 0 0 1 0 0 0 4 6 4 0 1 | * * * * 5 *
.o3.x3.x3.o ♦ 0 30 | 0 0 0 30 30 | 0 0 0 0 0 0 0 10 20 10 | 0 0 0 0 0 0 0 0 0 0 5 5 | * * * * * 1
or o.3o.3o.3o. | 20 * | 6 6 0 | 6 6 12 6 0 0 | 2 6 6 6 6 1 0 | 1 2 6 0 .o3.o3.o3.o | * 30 | 0 4 4 | 0 0 4 8 2 4 | 0 0 4 4 1 4 4 | 0 4 2 1 -----------------+-------+-----------+---------------------+----------------------+---------- x. .. .. .. & | 2 0 | 60 * * | 2 2 2 0 0 0 | 1 3 2 1 2 0 0 | 1 1 3 0 oo3oo3oo3oo&#x | 1 1 | * 120 * | 0 0 2 2 0 0 | 0 0 2 2 1 1 0 | 0 2 2 0 .. .x .. .. & | 0 2 | * * 60 | 0 0 0 2 1 2 | 0 0 2 1 0 2 3 | 0 3 1 1 -----------------+-------+-----------+---------------------+----------------------+---------- x.3o. .. .. & | 3 0 | 3 0 0 | 40 * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x. .. .. x. | 4 0 | 4 0 0 | * 30 * * * * | 0 2 0 0 1 0 0 | 1 0 2 0 xo .. .. ..&#x & | 2 1 | 1 2 0 | * * 120 * * * | 0 0 1 1 1 0 0 | 0 1 2 0 .. ox .. ..&#x & | 1 2 | 0 2 1 | * * * 120 * * | 0 0 1 1 0 1 0 | 0 2 1 0 .o3.x .. .. & | 0 3 | 0 0 3 | * * * * 20 * | 0 0 2 0 0 0 2 | 0 2 1 1 .. .x3.x .. | 0 6 | 0 0 6 | * * * * * 20 | 0 0 0 0 0 1 2 | 0 2 0 1 -----------------+-------+-----------+---------------------+----------------------+---------- x.3o.3o. .. & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 0 | 10 * * * * * * | 1 1 0 0 x.3o. .. x. & ♦ 6 0 | 9 0 0 | 2 3 0 0 0 0 | * 20 * * * * * | 1 0 1 0 xo3ox .. ..&#x & ♦ 3 3 | 3 6 3 | 1 0 3 3 1 0 | * * 40 * * * * | 0 1 1 0 xo .. ox ..&#x & ♦ 2 2 | 1 4 1 | 0 0 2 2 0 0 | * * * 60 * * * | 0 1 1 0 xo .. .. xo&#x ♦ 4 1 | 4 4 0 | 0 1 4 0 0 0 | * * * * 30 * * | 0 0 2 0 .. ox3ox ..&#x ♦ 1 6 | 0 6 6 | 0 0 0 6 0 1 | * * * * * 20 * | 0 2 0 0 .o3.x3.x .. & ♦ 0 12 | 0 0 18 | 0 0 0 0 4 4 | * * * * * * 10 | 0 1 0 1 -----------------+-------+-----------+---------------------+----------------------+---------- x.3o.3o.3x. ♦ 20 0 | 60 0 0 | 40 30 0 0 0 0 | 10 20 0 0 0 0 0 | 1 * * * xo3ox3ox ..&#x & ♦ 4 12 | 6 24 18 | 4 0 12 24 4 4 | 1 0 4 6 0 4 1 | * 10 * * xo3ox .. xo&#x & ♦ 6 3 | 9 12 3 | 2 3 12 6 1 0 | 0 1 2 3 3 0 0 | * * 20 * .o3.x3.x3.o ♦ 0 30 | 0 0 60 | 0 0 0 0 20 20 | 0 0 0 0 0 0 10 | * * * 1
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