Acronym | penaspid |
Name |
pentachoron atop small prismated decachoron, pen-first rotunda of scad |
Circumradius | 1 |
Lace city in approx. ASCII-art |
o t -- o3o3o3x (pen) T C t -- x3o3o3x (spid) where: o - o3o3o (point) t - x3o3o (tet) C - x3o3x (co) T - o3o3x (dual tet) |
Face vector | 25, 90, 140, 105, 32 |
Confer |
|
Incidence matrix according to Dynkin symbol
xx3oo3oo3ox&#x → height = sqrt(3/5) = 0.774597
(pen || spid)
o..3o..3o..3o.. | 5 * ♦ 4 4 0 0 | 6 12 6 0 0 0 | 4 12 12 4 0 0 0 0 | 1 4 6 4 1 0
.o.3.o.3.o.3.o. | * 20 | 0 1 3 3 | 0 3 3 3 6 3 | 0 3 6 3 1 3 3 1 | 0 1 3 3 1 1
-------------------+------+-------------+-------------------+----------------------+--------------
x.. ... ... ... | 2 0 | 10 * * * | 3 3 0 0 0 0 | 3 6 3 0 0 0 0 0 | 1 3 3 1 0 0
oo.3oo.3oo.3oo.&#x | 1 1 | * 20 * * | 0 3 3 0 0 0 | 0 3 6 3 0 0 0 0 | 0 1 3 3 1 0
.x. ... ... ... | 0 2 | * * 30 * | 0 1 0 2 2 0 | 0 2 2 0 1 2 1 0 | 0 1 2 1 0 1
... ... ... .x. | 0 2 | * * * 30 | 0 0 1 0 2 2 | 0 0 2 2 0 1 2 1 | 0 0 1 2 1 1
-------------------+------+-------------+-------------------+----------------------+--------------
x..3o.. ... ... | 3 0 | 3 0 0 0 | 10 * * * * * | 2 2 0 0 0 0 0 0 | 1 2 1 0 0 0
xx. ... ... ...&#x | 2 2 | 1 2 1 0 | * 30 * * * * | 0 2 2 0 0 0 0 0 | 0 1 2 1 0 0
... ... ... ox.&#x | 1 2 | 0 2 0 1 | * * 30 * * * | 0 0 2 2 0 0 0 0 | 0 0 1 2 1 0
.x.3.o. ... ... | 0 3 | 0 0 3 0 | * * * 20 * * | 0 1 0 0 1 1 0 0 | 0 1 1 0 0 1
.x. ... ... .x. | 0 4 | 0 0 2 2 | * * * * 30 * | 0 0 1 0 0 1 1 0 | 0 0 1 1 0 1
... ... .o.3.x. | 0 3 | 0 0 0 3 | * * * * * 20 | 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
-------------------+------+-------------+-------------------+----------------------+--------------
x..3o..3o.. ... ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 | 5 * * * * * * * | 1 1 0 0 0 0
xx.3oo. ... ...&#x ♦ 3 3 | 3 3 3 0 | 1 3 0 1 0 0 | * 20 * * * * * * | 0 1 1 0 0 0
xx. ... ... ox.&#x ♦ 2 4 | 1 4 2 2 | 0 2 2 0 1 0 | * * 30 * * * * * | 0 0 1 1 0 0
... ... oo.3ox.&#x ♦ 1 3 | 0 3 0 3 | 0 0 3 0 0 1 | * * * 20 * * * * | 0 0 0 1 1 0
.x.3.o.3.o. ... ♦ 0 4 | 0 0 6 0 | 0 0 0 4 0 0 | * * * * 5 * * * | 0 1 0 0 0 1
.x.3.o. ... .x. ♦ 0 6 | 0 0 6 3 | 0 0 0 2 3 0 | * * * * * 10 * * | 0 0 1 0 0 1
.x. ... .o.3.x. ♦ 0 6 | 0 0 3 6 | 0 0 0 0 3 2 | * * * * * * 10 * | 0 0 0 1 0 1
... .o.3.o.3.x. ♦ 0 4 | 0 0 0 6 | 0 0 0 0 0 4 | * * * * * * * 5 | 0 0 0 0 1 1
-------------------+------+-------------+-------------------+----------------------+--------------
x..3o..3o..3o.. ♦ 5 0 | 10 0 0 0 | 10 0 0 0 0 0 | 5 0 0 0 0 0 0 0 | 1 * * * * *
xx.3oo.3oo. ...&#x ♦ 4 4 | 6 4 6 0 | 4 6 0 4 0 0 | 1 4 0 0 1 0 0 0 | * 5 * * * *
xx.3oo. ... ox.&#x ♦ 3 6 | 3 6 6 3 | 1 6 3 2 3 0 | 0 2 3 0 0 1 0 0 | * * 10 * * *
xx. ... oo.3ox.&#x ♦ 2 6 | 1 6 3 6 | 0 3 6 0 3 2 | 0 0 3 2 0 0 1 0 | * * * 10 * *
... oo.3oo.3ox.&#x ♦ 1 4 | 0 4 0 6 | 0 0 6 0 0 4 | 0 0 0 4 0 0 0 1 | * * * * 5 *
.x.3.o.3.o.3.x. ♦ 0 20 | 0 0 30 30 | 0 0 0 20 30 20 | 0 0 0 0 5 10 10 5 | * * * * * 1
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