Acronym | tisquippy |
Name |
triangle-squippy douprism, half of troct, (triangle,trip,trip)-trigonic |
Circumradius | sqrt(5/6) = 0.912871 |
Lace city in approx. ASCII-art |
o o3x x o3x x o3x |
Volume | sqrt(6)/24 = 0.102062 |
Face vector | 15, 39, 44, 26, 8 |
Confer |
|
Incidence matrix according to Dynkin symbol
ox ox oo3xx&#x → height = 1/sqrt(2) = 0.707107
({3} || tisdip)
o. o. o.3o. | 3 * | 2 4 0 0 0 | 1 2 2 8 0 0 0 0 | 1 4 4 4 0 0 0 | 2 2 2 0
.o .o .o3.o | * 12 | 0 1 1 1 2 | 0 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1
---------------+------+-------------+------------------+---------------+--------
.. .. .. x. | 2 0 | 3 * * * * | 1 0 0 4 0 0 0 0 | 0 2 2 4 0 0 0 | 1 2 2 0
oo oo oo3oo&#x | 1 1 | * 12 * * * | 0 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0
.x .. .. .. | 0 2 | * * 6 * * | 0 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1
.. .x .. .. | 0 2 | * * * 6 * | 0 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1
.. .. .. .x | 0 2 | * * * * 12 | 0 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1
---------------+------+-------------+------------------+---------------+--------
.. .. o.3x. | 3 0 | 3 0 0 0 0 | 1 * * * * * * * | 0 0 0 4 0 0 0 | 0 2 2 0
ox .. .. ..&#x | 1 2 | 0 2 1 0 0 | * 6 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
.. ox .. ..&#x | 1 2 | 0 2 0 1 0 | * * 6 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0
.. .. .. xx&#x | 2 2 | 1 2 0 0 1 | * * * 12 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0
.x .x .. .. | 0 4 | 0 0 2 2 0 | * * * * 3 * * * | 1 0 0 0 2 0 0 | 2 0 0 1
.x .. .. .x | 0 4 | 0 0 2 0 2 | * * * * * 6 * * | 0 1 0 0 1 1 0 | 1 1 0 1
.. .x .. .x | 0 4 | 0 0 0 2 2 | * * * * * * 6 * | 0 0 1 0 1 0 1 | 1 0 1 1
.. .. .o3.x | 0 3 | 0 0 0 0 3 | * * * * * * * 4 | 0 0 0 1 0 1 1 | 0 1 1 1
---------------+------+-------------+------------------+---------------+--------
ox ox .. ..&#x ♦ 1 4 | 0 4 2 2 0 | 0 2 2 0 1 0 0 0 | 3 * * * * * * | 2 0 0 0
ox .. .. xx&#x ♦ 2 4 | 1 4 2 0 2 | 0 2 0 2 0 1 0 0 | * 6 * * * * * | 1 1 0 0
.. ox .. xx&#x ♦ 2 4 | 1 4 0 2 2 | 0 0 2 2 0 0 1 0 | * * 6 * * * * | 1 0 1 0
.. .. oo3xx&#x ♦ 3 3 | 3 3 0 0 3 | 1 0 0 3 0 0 0 1 | * * * 4 * * * | 0 1 1 0
.x .x .. .x ♦ 0 8 | 0 0 4 4 4 | 0 0 0 0 2 2 2 0 | * * * * 3 * * | 1 0 0 1
.x .. .o3.x ♦ 0 6 | 0 0 3 0 6 | 0 0 0 0 0 3 0 2 | * * * * * 2 * | 0 1 0 1
.. .x .o3.x ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 0 3 2 | * * * * * * 2 | 0 0 1 1
---------------+------+-------------+------------------+---------------+--------
ox ox .. xx&#x ♦ 2 8 | 1 8 4 4 4 | 0 4 4 4 2 2 2 0 | 2 2 2 0 1 0 0 | 3 * * *
ox .. oo3xx&#x ♦ 3 6 | 3 6 3 0 6 | 1 3 0 6 0 3 0 2 | 0 3 0 2 0 1 0 | * 2 * *
.. ox oo3xx&#x ♦ 3 6 | 3 6 0 3 6 | 1 0 3 6 0 0 3 2 | 0 0 3 2 0 0 1 | * * 2 *
.x .x .o3.x ♦ 0 12 | 0 0 6 6 12 | 0 0 0 0 3 6 6 4 | 0 0 0 0 3 2 2 | * * * 1
xx3oo ox4oo&#xt → height = 1/sqrt(2) = 0.707107
({3} || tisdip)
o.3o. o.4o. | 3 * | 2 4 0 0 | 1 8 4 0 0 0 | 4 8 1 0 0 | 4 2 0
.o3.o .o4.o | * 12 | 0 1 2 2 | 0 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1
----------------+------+------------+----------------+------------+------
x. .. .. .. | 2 0 | 3 * * * | 1 4 0 0 0 0 | 4 4 0 0 0 | 4 1 0
oo3oo oo4oo&#x | 1 1 | * 12 * * | 0 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0
.x .. .. .. | 0 2 | * * 12 * | 0 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1
.. .. .x .. | 0 2 | * * * 12 | 0 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1
----------------+------+------------+----------------+------------+------
x.3o. .. .. | 3 0 | 3 0 0 0 | 1 * * * * * | 4 0 0 0 0 | 4 0 0
xx .. .. ..&#x | 2 2 | 1 2 1 0 | * 12 * * * * | 1 2 0 0 0 | 2 1 0
.. .. ox ..&#x | 1 2 | 0 2 0 1 | * * 12 * * * | 0 2 1 0 0 | 1 2 0
.x3.o .. .. | 0 3 | 0 0 3 0 | * * * 4 * * | 1 0 0 2 0 | 2 0 1
.x .. .x .. | 0 4 | 0 0 2 2 | * * * * 12 * | 0 1 0 1 1 | 1 1 1
.. .. .x4.o | 0 4 | 0 0 0 4 | * * * * * 3 | 0 0 1 0 2 | 0 2 1
----------------+------+------------+----------------+------------+------
xx3oo .. ..&#x ♦ 3 3 | 3 3 3 0 | 1 3 0 1 0 0 | 4 * * * * | 2 0 0
xx .. ox ..&#x ♦ 2 4 | 1 4 2 2 | 0 2 2 0 1 0 | * 12 * * * | 1 1 0
.. .. ox4oo&#xt ♦ 1 4 | 0 4 0 4 | 0 0 4 0 0 1 | * * 3 * * | 0 2 0
.x3.o .x .. ♦ 0 6 | 0 0 6 3 | 0 0 0 2 3 0 | * * * 4 * | 1 0 1
.x .. .x4.o ♦ 0 8 | 0 0 4 8 | 0 0 0 0 4 2 | * * * * 3 | 0 1 1
----------------+------+------------+----------------+------------+------
xx3oo ox ..&#x ♦ 3 6 | 3 6 6 3 | 1 6 3 2 3 0 | 2 3 0 1 0 | 4 * *
xx .. ox4oo&#xt ♦ 2 8 | 1 8 4 8 | 0 4 8 0 4 2 | 0 4 2 0 1 | * 3 *
.x3.o .x4.o ♦ 0 12 | 0 0 12 12 | 0 0 0 4 12 3 | 0 0 0 4 3 | * * 1
oxx ooo3xxx&#x → height(1,2) = height(1,3) = sqrt(3)/2 = 0.866025 height(2,3) = 1 height(1,23) = 1/sqrt(2) = 0.707107 height(12,3) = height(13,2) = sqrt(2/3) = 0.816497 o.. o..3o.. | 3 * * | 2 2 2 0 0 0 0 0 | 1 1 4 2 1 4 0 0 0 0 0 0 | 2 2 1 4 2 2 0 0 0 0 | 1 2 2 1 0 .o. .o.3.o. | * 6 * | 0 1 0 1 2 1 0 0 | 0 1 2 1 0 0 2 1 1 2 0 0 | 2 1 1 2 0 0 1 2 1 0 | 1 2 1 0 1 ..o ..o3..o | * * 6 | 0 0 1 0 0 1 1 2 | 0 0 0 1 1 2 0 0 1 2 2 1 | 0 0 1 2 2 1 0 2 1 1 | 0 2 1 1 1 ---------------+-------+-----------------+-------------------------+---------------------+---------- ... ... x.. | 2 0 0 | 3 * * * * * * * | 1 0 2 0 0 2 0 0 0 0 0 0 | 1 2 0 2 1 2 0 0 0 0 | 1 1 2 1 0 oo. oo.3oo.&#x | 1 1 0 | * 6 * * * * * * | 0 1 2 1 0 0 0 0 0 0 0 0 | 2 1 1 2 0 0 0 0 0 0 | 1 2 1 0 0 o.o o.o3o.o&#x | 1 0 1 | * * 6 * * * * * | 0 0 0 1 1 2 0 0 0 0 0 0 | 0 0 1 2 2 1 0 0 0 0 | 0 2 1 1 0 .x. ... ... | 0 2 0 | * * * 3 * * * * | 0 1 0 0 0 0 2 0 1 0 0 0 | 2 0 1 0 0 0 1 2 0 0 | 1 2 0 0 1 ... ... .x. | 0 2 0 | * * * * 6 * * * | 0 0 1 0 0 0 1 1 0 1 0 0 | 1 1 0 1 0 0 1 1 1 0 | 1 1 1 0 1 .oo .oo3.oo&#x | 0 1 1 | * * * * * 6 * * | 0 0 0 1 0 0 0 0 1 2 0 0 | 0 0 1 2 0 0 0 2 1 0 | 0 2 1 0 1 ..x ... ... | 0 0 2 | * * * * * * 3 * | 0 0 0 0 1 0 0 0 1 0 2 0 | 0 0 1 0 2 0 0 2 0 1 | 0 2 0 1 1 ... ... ...x | 0 0 2 | * * * * * * * 6 | 0 0 0 0 0 1 0 0 0 1 1 1 | 0 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1 ---------------+-------+-----------------+-------------------------+---------------------+---------- ... o..3x.. | 3 0 0 | 3 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * | 0 2 0 0 0 2 0 0 0 0 | 1 0 2 1 0 ox. ... ...&#x | 1 2 0 | 0 2 0 1 0 0 0 0 | * 3 * * * * * * * * * * | 2 0 1 0 0 0 0 0 0 0 | 1 2 0 0 0 ... ... xx.&#x | 2 2 0 | 1 2 0 0 1 0 0 0 | * * 6 * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0 ooo ooo3ooo&#x | 1 1 1 | 0 1 1 0 0 1 0 0 | * * * 6 * * * * * * * * | 0 0 1 2 0 0 0 0 0 0 | 0 2 1 0 0 o.x ... ...&#x | 1 0 2 | 0 0 2 0 0 0 1 0 | * * * * 3 * * * * * * * | 0 0 1 0 2 0 0 0 0 0 | 0 2 0 1 0 ... ... x.x&#x | 2 0 2 | 1 0 2 0 0 0 0 1 | * * * * * 6 * * * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0 .x. ... .x. | 0 4 0 | 0 0 0 2 2 0 0 0 | * * * * * * 3 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 ... .o.3.x. | 0 3 0 | 0 0 0 0 3 0 0 0 | * * * * * * * 2 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 .xx ... ...&#x | 0 2 2 | 0 0 0 1 0 2 1 0 | * * * * * * * * 3 * * * | 0 0 1 0 0 0 0 2 0 0 | 0 2 0 0 1 ... ... .xx&#x | 0 2 2 | 0 0 0 0 1 2 0 1 | * * * * * * * * * 6 * * | 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1 ..x ... ..x | 0 0 4 | 0 0 0 0 0 0 2 2 | * * * * * * * * * * 3 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 ... ..o3..x | 0 0 3 | 0 0 0 0 0 0 0 3 | * * * * * * * * * * * 2 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------+-------+-----------------+-------------------------+---------------------+---------- ox. ... xx.&#x ♦ 2 4 0 | 1 4 0 2 2 0 0 0 | 0 2 2 0 0 0 1 0 0 0 0 0 | 3 * * * * * * * * * | 1 1 0 0 0 ... oo.3xx.&#x ♦ 3 3 0 | 3 3 0 0 3 0 0 0 | 1 0 3 0 0 0 0 1 0 0 0 0 | * 2 * * * * * * * * | 1 0 1 0 0 oxx ... ...&#x ♦ 1 2 2 | 0 2 2 1 0 2 1 0 | 0 1 0 2 1 0 0 0 1 0 0 0 | * * 3 * * * * * * * | 0 2 0 0 0 ... ... xxx&#x ♦ 2 2 2 | 1 2 2 0 1 2 0 1 | 0 0 1 2 0 1 0 0 0 1 0 0 | * * * 6 * * * * * * | 0 1 1 0 0 o.x ... x.x&#x ♦ 2 0 4 | 1 0 4 0 0 0 2 2 | 0 0 0 0 2 2 0 0 0 0 1 0 | * * * * 3 * * * * * | 0 1 0 1 0 ... o.o3x.x&#x ♦ 3 0 3 | 3 0 3 0 0 0 0 3 | 1 0 0 0 0 3 0 0 0 0 0 1 | * * * * * 2 * * * * | 0 0 1 1 0 .x. .o.3.x. ♦ 0 6 0 | 0 0 0 3 6 0 0 0 | 0 0 0 0 0 0 3 2 0 0 0 0 | * * * * * * 1 * * * | 1 0 0 0 1 .xx ... .xx&#x ♦ 0 4 4 | 0 0 0 2 2 4 2 2 | 0 0 0 0 0 0 1 0 2 2 1 0 | * * * * * * * 3 * * | 0 1 0 0 1 ... .oo3.xx&#x ♦ 0 3 3 | 0 0 0 0 3 3 0 3 | 0 0 0 0 0 0 0 1 0 3 0 1 | * * * * * * * * 2 * | 0 0 1 0 1 ..x ..o3..x ♦ 0 0 6 | 0 0 0 0 0 0 3 6 | 0 0 0 0 0 0 0 0 0 0 3 2 | * * * * * * * * * 1 | 0 0 0 1 1 ---------------+-------+-----------------+-------------------------+---------------------+---------- ox. oo.3xx.&#x ♦ 3 6 0 | 3 6 0 3 6 0 0 0 | 1 3 6 0 0 0 3 2 0 0 0 0 | 3 2 0 0 0 0 1 0 0 0 | 1 * * * * oxx ... xxx&#x ♦ 2 4 4 | 1 4 4 2 2 4 2 2 | 0 2 2 4 2 2 1 0 2 2 1 0 | 1 0 2 2 1 0 0 1 0 0 | * 3 * * * ... ooo3xxx&#x ♦ 3 3 3 | 3 3 3 0 3 3 0 3 | 1 0 3 3 0 3 0 1 0 3 0 1 | 0 1 0 3 0 1 0 0 1 0 | * * 2 * * o.x o.o3x.x&#x ♦ 3 0 6 | 3 0 6 0 0 0 3 6 | 1 0 0 0 3 6 0 0 0 0 3 2 | 0 0 0 0 3 2 0 0 0 1 | * * * 1 * .xx .oo3.xx&#x ♦ 0 6 6 | 0 0 0 3 6 6 3 6 | 0 0 0 0 0 0 3 2 3 6 3 2 | 0 0 0 0 0 0 1 3 2 1 | * * * * 1
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