Acronym | ..., rofix || sirsashi |
Name | (degenerate) rofix atop sirsashi |
Circumradius | ∞ i.e. flat in euclidean space |
Face vector | 4320, 18000, 21600, 9840, 1442 |
Confer |
|
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.
As abstract polytope rofix || sirsashi is isomorphic to rigfix || sirgaghi, thereby interchanging the roles of pentagrams and pentagons, resp. replacing id by gid, stappy by peppy, and pip by stip, resp. rofix by rigfix, gad || raded by sissid || raded, iddip by giddip, and sirsashi by sirgaghi.
Incidence matrix according to Dynkin symbol
ox5/2oo5xx3oo&#x → height = 0
(rofix || sirsashi)
o.5/2o.5o.3o. | 720 * | 10 5 0 0 | 10 5 5 20 0 0 0 0 | 2 5 1 10 10 10 0 0 0 | 1 2 5 5 0
.o5/2.o5.o3.o | * 3600 | 0 1 2 4 | 0 0 2 4 1 4 2 2 | 0 0 1 4 2 2 2 2 1 | 0 2 2 1 1
-----------------+----------+---------------------+----------------------------------------+-----------------------------------------+-----------------
.. .. x. .. | 2 0 | 3600 * * * | 2 1 0 2 0 0 0 0 | 1 2 0 1 2 2 0 0 0 | 1 1 1 2 0
oo5/2oo5oo3oo&#x | 1 1 | * 3600 * * | 0 0 2 4 0 0 0 0 | 0 0 1 4 2 2 0 0 0 | 0 2 2 1 0
.x .. .. .. | 0 2 | * * 3600 * | 0 0 1 0 1 2 0 0 | 0 0 1 2 0 0 2 1 0 | 0 2 1 0 1
.. .. .x .. | 0 2 | * * * 7200 | 0 0 0 1 0 1 1 1 | 0 0 0 1 1 1 1 1 1 | 0 1 1 1 1
-----------------+----------+---------------------+----------------------------------------+-----------------------------------------+-----------------
.. o.5x. .. | 5 0 | 5 0 0 0 | 1440 * * * * * * * | 1 1 0 0 1 0 0 0 0 | 1 1 0 1 0
.. .. x.3o. | 3 0 | 3 0 0 0 | * 1200 * * * * * * | 0 2 0 0 0 2 0 0 0 | 1 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 2 1 0 | * * 3600 * * * * * | 0 0 1 2 0 0 0 0 0 | 0 2 1 0 0
.. .. xx ..&#x | 2 2 | 1 2 0 1 | * * * 7200 * * * * | 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x5/2.o .. .. | 0 5 | 0 0 5 0 | * * * * 720 * * * | 0 0 1 0 0 0 2 0 0 | 0 2 0 0 1
.x .. .x .. | 0 4 | 0 0 2 2 | * * * * * 3600 * * | 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .o5.x .. | 0 5 | 0 0 0 5 | * * * * * * 1440 * | 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x3.o | 0 3 | 0 0 0 3 | * * * * * * * 2400 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
-----------------+----------+---------------------+----------------------------------------+-----------------------------------------+-----------------
o.5/2o.5x. .. ♦ 12 0 | 30 0 0 0 | 12 0 0 0 0 0 0 0 | 120 * * * * * * * * | 1 1 0 0 0
.. o.5x.3o. ♦ 30 0 | 60 0 0 0 | 12 20 0 0 0 0 0 0 | * 120 * * * * * * * | 1 0 0 1 0
ox5/2oo .. ..&#x ♦ 1 5 | 0 5 5 0 | 0 0 5 0 1 0 0 0 | * * 720 * * * * * * | 0 2 0 0 0
ox .. xx ..&#x ♦ 2 4 | 1 4 2 2 | 0 0 2 2 0 1 0 0 | * * * 3600 * * * * * | 0 1 1 0 0
.. oo5xx ..&#x ♦ 5 5 | 5 5 0 5 | 1 0 0 5 0 0 1 0 | * * * * 1440 * * * * | 0 1 0 1 0
.. .. xx3oo&#x ♦ 3 3 | 3 3 0 3 | 0 1 0 3 0 0 0 1 | * * * * * 2400 * * * | 0 0 1 1 0
.x5/2.o5.x .. ♦ 0 60 | 0 0 60 60 | 0 0 0 0 12 30 12 0 | * * * * * * 120 * * | 0 1 0 0 1
.x .. .x3.o ♦ 0 6 | 0 0 3 6 | 0 0 0 0 0 3 0 2 | * * * * * * * 1200 * | 0 0 1 0 1
.. .o5.x3.o ♦ 0 30 | 0 0 0 60 | 0 0 0 0 0 0 12 20 | * * * * * * * * 120 | 0 0 0 1 1
-----------------+----------+---------------------+----------------------------------------+-----------------------------------------+-----------------
o.5/2o.5x.3o. ♦ 720 0 | 3600 0 0 0 | 1440 1200 0 0 0 0 0 0 | 120 120 0 0 0 0 0 0 0 | 1 * * * *
ox5/2oo5xx ..&#x ♦ 12 60 | 30 60 60 60 | 12 0 60 60 12 30 12 0 | 1 0 12 30 12 0 1 0 0 | * 120 * * *
ox .. xx3oo&#x ♦ 3 6 | 3 6 3 6 | 0 1 3 6 0 3 0 2 | 0 0 0 3 0 2 0 1 0 | * * 1200 * *
.. oo5xx3oo&#x ♦ 30 30 | 60 30 0 60 | 12 20 0 60 0 0 12 20 | 0 1 0 0 12 20 0 0 1 | * * * 120 *
.x5/2.o5.x3.o ♦ 0 3600 | 0 0 3600 7200 | 0 0 0 0 720 3600 1440 2400 | 0 0 0 0 0 0 120 1200 120 | * * * * 1
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