Acronym | cubpyp |
Name | cubpy prism |
|,>,O device | line prism prism pyramid prism = |||>| |
Circumradius | sqrt(5)/2 = 1.118034 |
Lace city in approx. ASCII-art |
x o o x x x x x x |
Face vector | 18, 49, 56, 32, 9 |
Confer |
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Incidence matrix according to Dynkin symbol
xx oo3oo4ox&#x → height = 1/2
(line || tes)
o. o.3o.4o. | 2 * | 1 8 0 0 | 8 12 0 0 | 12 6 0 0 | 6 1 0
.o .o3.o4.o | * 16 | 0 1 1 3 | 1 3 3 3 | 3 3 3 1 | 3 1 1
---------------+------+-----------+------------+-----------+------
x. .. .. .. | 2 0 | 1 * * * ♦ 8 0 0 0 | 12 0 0 0 | 6 0 0
oo oo3oo4oo&#x | 1 1 | * 16 * * | 1 3 0 0 | 3 3 0 0 | 3 1 0
.x .. .. .. | 0 2 | * * 8 * | 1 0 3 0 | 3 0 3 0 | 3 0 1
.. .. .. .x | 0 2 | * * * 24 | 0 1 1 2 | 1 2 2 1 | 2 1 1
---------------+------+-----------+------------+-----------+------
xx .. .. ..&#x | 2 2 | 1 2 1 0 | 8 * * * | 3 0 0 0 | 3 0 0
.. .. .. ox&#x | 1 2 | 0 2 0 1 | * 24 * * | 1 2 0 0 | 2 1 0
.x .. .. .x | 0 4 | 0 0 2 2 | * * 12 * | 1 0 2 0 | 2 0 1
.. .. .o4.x | 0 4 | 0 0 0 4 | * * * 12 | 0 1 1 1 | 1 1 1
---------------+------+-----------+------------+-----------+------
xx .. .. ox&#x ♦ 2 4 | 1 4 2 2 | 2 2 1 0 | 12 * * * | 2 0 0
.. .. oo4ox&#x ♦ 1 4 | 0 4 0 4 | 0 4 0 1 | * 12 * * | 1 1 0
.x .. .o4.x ♦ 0 8 | 0 0 4 8 | 0 0 4 2 | * * 6 * | 1 0 1
.. .o3.o4.x ♦ 0 8 | 0 0 0 12 | 0 0 0 6 | * * * 2 | 0 1 1
---------------+------+-----------+------------+-----------+------
xx .. oo4ox&#x ♦ 2 8 | 1 8 4 8 | 4 8 4 2 | 4 2 1 0 | 6 * *
.. oo3oo4ox&#x ♦ 1 8 | 0 8 0 12 | 0 12 0 6 | 0 6 0 1 | * 2 *
.x .o3.o4.x ♦ 0 16 | 0 0 8 24 | 0 0 12 12 | 0 0 6 2 | * * 1
oxx oxx xxx&#x → height(1,2) = height(1,3) = 1/sqrt(2) = 0.707107 height(2,3) = 1 o.. o.. o.. | 2 * * | 1 4 4 0 0 0 0 0 0 0 | 2 2 4 2 2 4 4 0 0 0 0 0 0 0 0 0 | 1 2 2 1 2 2 2 2 4 0 0 0 0 0 | 1 1 1 2 2 0 .o. .o. .o. | * 8 * | 0 1 0 1 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 1 1 1 1 0 | 1 0 1 1 1 1 ..o ..o ..o | * * 8 | 0 0 1 0 0 0 1 1 1 1 | 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 | 0 0 0 1 1 1 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1 ---------------+-------+---------------------+---------------------------------+-----------------------------+------------ ... ... x.. | 2 0 0 | 1 * * * * * * * * * ♦ 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 | 0 2 2 0 2 2 0 0 4 0 0 0 0 0 | 1 1 0 2 2 0 oo. oo. oo.&#x | 1 1 0 | * 8 * * * * * * * * | 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 1 1 1 0 0 0 0 0 | 1 0 1 1 1 0 o.o o.o o.o&#x | 1 0 1 | * * 8 * * * * * * * | 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0 .x. ... ... | 0 2 0 | * * * 4 * * * * * * | 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 | 1 1 0 0 0 0 1 0 0 1 1 1 0 0 | 1 0 1 1 0 1 ... .x. ... | 0 2 0 | * * * * 4 * * * * * | 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 0 0 0 0 1 0 1 1 0 1 0 | 1 0 1 0 1 1 ... ... .x. | 0 2 0 | * * * * * 4 * * * * | 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 | 0 1 1 0 0 0 0 0 1 1 0 1 1 0 | 1 0 0 1 1 1 .oo .oo .oo&#x | 0 1 1 | * * * * * * 8 * * * | 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 | 0 0 0 0 0 0 1 1 1 0 1 1 1 0 | 0 0 1 1 1 1 ..x ... ... | 0 0 2 | * * * * * * * 4 * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 1 1 0 1 0 0 0 1 1 0 1 | 0 1 1 1 0 1 ... ..x ... | 0 0 2 | * * * * * * * * 4 * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 | 0 0 0 1 0 1 0 1 0 0 1 0 1 1 | 0 1 1 0 1 1 ... ... ..x | 0 0 2 | * * * * * * * * * 4 | 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 | 0 0 0 0 1 1 0 0 1 0 0 1 1 1 | 0 1 0 1 1 1 ---------------+-------+---------------------+---------------------------------+-----------------------------+------------ ox. ... ...&#x | 1 2 0 | 0 2 0 1 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * * | 1 1 0 0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0 ... ox. ...&#x | 1 2 0 | 0 2 0 0 1 0 0 0 0 0 | * 4 * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0 ... ... xx.&#x | 2 2 0 | 1 2 0 0 0 1 0 0 0 0 | * * 4 * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0 o.x ... ...&#x | 1 0 2 | 0 0 2 0 0 0 0 1 0 0 | * * * 4 * * * * * * * * * * * * | 0 0 0 1 1 0 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0 ... o.x ...&#x | 1 0 2 | 0 0 2 0 0 0 0 0 1 0 | * * * * 4 * * * * * * * * * * * | 0 0 0 1 0 1 0 1 0 0 0 0 0 0 | 0 1 1 0 1 0 ... ... x.x&#x | 2 0 2 | 1 0 2 0 0 0 0 0 0 1 | * * * * * 4 * * * * * * * * * * | 0 0 0 0 1 1 0 0 1 0 0 0 0 0 | 0 1 0 1 1 0 ooo ooo ooo&#x | 1 1 1 | 0 1 1 0 0 0 1 0 0 0 | * * * * * * 8 * * * * * * * * * | 0 0 0 0 0 0 1 1 1 0 0 0 0 0 | 0 0 1 1 1 0 .x. .x. ... | 0 4 0 | 0 0 0 2 2 0 0 0 0 0 | * * * * * * * 2 * * * * * * * * | 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 0 1 0 0 1 .x. ... .x. | 0 4 0 | 0 0 0 2 0 2 0 0 0 0 | * * * * * * * * 2 * * * * * * * | 0 1 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 0 1 0 1 ... .x. .x. | 0 4 0 | 0 0 0 0 2 2 0 0 0 0 | * * * * * * * * * 2 * * * * * * | 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 0 1 1 .xx ... ...&#x | 0 2 2 | 0 0 0 1 0 0 2 1 0 0 | * * * * * * * * * * 4 * * * * * | 0 0 0 0 0 0 1 0 0 0 1 1 0 0 | 0 0 1 1 0 1 ... .xx ...&#x | 0 2 2 | 0 0 0 0 1 0 2 0 1 0 | * * * * * * * * * * * 4 * * * * | 0 0 0 0 0 0 0 1 0 0 1 0 1 0 | 0 0 1 0 1 1 ... ... .xx&#x | 0 2 2 | 0 0 0 0 0 1 2 0 0 1 | * * * * * * * * * * * * 4 * * * | 0 0 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 1 1 1 ..x ..x ... | 0 0 4 | 0 0 0 0 0 0 0 2 2 0 | * * * * * * * * * * * * * 2 * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 | 0 1 1 0 0 1 ..x ... ..x | 0 0 4 | 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * * * 2 * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 | 0 1 0 1 0 1 ... ..x ..x | 0 0 4 | 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * * * 2 | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 | 0 1 0 0 1 1 ---------------+-------+---------------------+---------------------------------+-----------------------------+------------ ox. ox. ...&#x ♦ 1 4 0 | 0 4 0 2 2 0 0 0 0 0 | 2 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * * * | 1 0 1 0 0 0 ox. ... xx.&#x ♦ 2 4 0 | 1 4 0 2 0 2 0 0 0 0 | 2 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * | 1 0 0 1 0 0 ... ox. xx.&#x ♦ 2 4 0 | 1 4 0 0 2 2 0 0 0 0 | 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 | * * 2 * * * * * * * * * * * | 1 0 0 0 1 0 o.x o.x ...&#x ♦ 1 0 4 | 0 0 4 0 0 0 0 2 2 0 | 0 0 0 2 2 0 0 0 0 0 0 0 0 1 0 0 | * * * 2 * * * * * * * * * * | 0 1 1 0 0 0 o.x ... x.x&#x ♦ 2 0 4 | 1 0 4 0 0 0 0 2 0 2 | 0 0 0 2 0 2 0 0 0 0 0 0 0 0 1 0 | * * * * 2 * * * * * * * * * | 0 1 0 1 0 0 ... o.x x.x&#x ♦ 2 0 4 | 1 0 4 0 0 0 0 0 2 2 | 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 1 | * * * * * 2 * * * * * * * * | 0 1 0 0 1 0 oxx ... ...&#x ♦ 1 2 2 | 0 2 2 1 0 0 2 1 0 0 | 1 0 0 1 0 0 2 0 0 0 1 0 0 0 0 0 | * * * * * * 4 * * * * * * * | 0 0 1 1 0 0 ... oxx ...&#x ♦ 1 2 2 | 0 2 2 0 1 0 2 0 1 0 | 0 1 0 0 1 0 2 0 0 0 0 1 0 0 0 0 | * * * * * * * 4 * * * * * * | 0 0 1 0 1 0 ... ... xxx&#x ♦ 2 2 2 | 1 2 2 0 0 1 2 0 0 1 | 0 0 1 0 0 1 2 0 0 0 0 0 1 0 0 0 | * * * * * * * * 4 * * * * * | 0 0 0 1 1 0 .x. .x. .x. ♦ 0 8 0 | 0 0 0 4 4 4 0 0 0 0 | 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 | * * * * * * * * * 1 * * * * | 1 0 0 0 0 1 .xx .xx ...&#x ♦ 0 4 4 | 0 0 0 2 2 0 4 2 2 0 | 0 0 0 0 0 0 0 1 0 0 2 2 0 1 0 0 | * * * * * * * * * * 2 * * * | 0 0 1 0 0 1 .xx ... .xx&#x ♦ 0 4 4 | 0 0 0 2 0 2 4 2 0 2 | 0 0 0 0 0 0 0 0 1 0 2 0 2 0 1 0 | * * * * * * * * * * * 2 * * | 0 0 0 1 0 1 ... .xx .xx&#x ♦ 0 4 4 | 0 0 0 0 2 2 4 0 2 2 | 0 0 0 0 0 0 0 0 0 1 0 2 2 0 0 1 | * * * * * * * * * * * * 2 * | 0 0 0 0 1 1 ..x ..x ..x ♦ 0 0 8 | 0 0 0 0 0 0 0 4 4 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 | * * * * * * * * * * * * * 1 | 0 1 0 0 0 1 ---------------+-------+---------------------+---------------------------------+-----------------------------+------------ ox. ox. xx.&#x ♦ 2 8 0 | 1 8 0 4 4 4 0 0 0 0 | 4 4 4 0 0 0 0 2 2 2 0 0 0 0 0 0 | 2 2 2 0 0 0 0 0 0 1 0 0 0 0 | 1 * * * * * o.x o.x x.x&#x ♦ 2 0 8 | 1 0 8 0 0 0 0 4 4 4 | 0 0 0 4 4 4 0 0 0 0 0 0 0 2 2 2 | 0 0 0 2 2 2 0 0 0 0 0 0 0 1 | * 1 * * * * oxx oxx ...&#x ♦ 1 4 4 | 0 4 4 2 2 0 4 2 2 0 | 2 2 0 2 2 0 4 1 0 0 2 2 0 1 0 0 | 1 0 0 1 0 0 2 2 0 0 1 0 0 0 | * * 2 * * * oxx ... xxx&#x ♦ 2 4 4 | 1 4 4 2 0 2 4 2 0 2 | 2 0 2 2 0 2 4 0 1 0 2 0 2 0 1 0 | 0 1 0 0 1 0 2 0 2 0 0 1 0 0 | * * * 2 * * ... oxx xxx&#x ♦ 2 4 4 | 1 4 4 0 2 2 4 0 2 2 | 0 2 2 0 2 2 4 0 0 1 0 2 2 0 0 1 | 0 0 1 0 0 1 0 2 2 0 0 0 1 0 | * * * * 2 * .xx .xx .xx&#x ♦ 0 8 8 | 0 0 0 4 4 4 8 4 4 4 | 0 0 0 0 0 0 0 2 2 2 4 4 4 2 2 2 | 0 0 0 0 0 0 0 0 0 1 2 2 2 1 | * * * * * 1
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