| Acronym | hisquippy |
| Name |
hexagon-squippy douprism, half of hoct |
| Circumradius | sqrt(3/2) = 1.224745 |
|
Lace city in approx. ASCII-art |
o x3x
x x3x x x3x
|
| Face vector | 30, 78, 83, 44, 11 |
| Confer |
|
Incidence matrix according to Dynkin symbol
ox ox xx3xx&#x → height = 1/sqrt(2) = 0.707107
({6} || shiddip)
o. o. o.3o. | 6 * | 1 1 4 0 0 0 0 | 1 2 2 4 4 0 0 0 0 0 0 | 1 2 2 2 2 4 0 0 0 0 | 1 1 2 2 0
.o .o .o3.o | * 24 | 0 0 1 1 1 1 1 | 0 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1
---------------+------+--------------------+---------------------------+---------------------+----------
.. .. x. .. | 2 0 | 3 * * * * * * | 1 0 0 4 0 0 0 0 0 0 0 | 0 2 0 2 0 4 0 0 0 0 | 1 0 2 2 0
.. .. .. x. | 2 0 | * 3 * * * * * | 1 0 0 0 4 0 0 0 0 0 0 | 0 0 2 0 2 4 0 0 0 0 | 0 1 2 2 0
oo oo oo3oo&#x | 1 1 | * * 24 * * * * | 0 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
.x .. .. .. | 0 2 | * * * 12 * * * | 0 1 0 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1
.. .x .. .. | 0 2 | * * * * 12 * * | 0 0 1 0 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1
.. .. .x .. | 0 2 | * * * * * 12 * | 0 0 0 1 0 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1
.. .. .. .x | 0 2 | * * * * * * 12 | 0 0 0 0 1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
---------------+------+--------------------+---------------------------+---------------------+----------
.. .. x.3x. | 6 0 | 3 3 0 0 0 0 0 | 1 * * * * * * * * * * | 0 0 0 0 0 4 0 0 0 0 | 0 0 2 2 0
ox .. .. ..&#x | 1 2 | 0 0 2 1 0 0 0 | * 12 * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
.. ox .. ..&#x | 1 2 | 0 0 2 0 1 0 0 | * * 12 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
.. .. xx ..&#x | 2 2 | 1 0 2 0 0 1 0 | * * * 12 * * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 1 0 1 1 0
.. .. .. xx&#x | 2 2 | 0 1 2 0 0 0 1 | * * * * 12 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
.x .x .. .. | 0 4 | 0 0 0 2 2 0 0 | * * * * * 6 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
.x .. .x .. | 0 4 | 0 0 0 2 0 2 0 | * * * * * * 6 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
.x .. .. .x | 0 4 | 0 0 0 2 0 0 2 | * * * * * * * 6 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
.. .x .x .. | 0 4 | 0 0 0 0 2 2 0 | * * * * * * * * 6 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
.. .x .. .x | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * * 6 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
.. .. .x3.x | 0 6 | 0 0 0 0 0 3 3 | * * * * * * * * * * 4 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
---------------+------+--------------------+---------------------------+---------------------+----------
ox ox .. ..&#x ♦ 1 4 | 0 0 4 2 2 0 0 | 0 2 2 0 0 1 0 0 0 0 0 | 6 * * * * * * * * * | 1 1 0 0 0
ox .. xx ..&#x ♦ 2 4 | 1 0 4 2 0 2 0 | 0 2 0 2 0 0 1 0 0 0 0 | * 6 * * * * * * * * | 1 0 1 0 0
ox .. .. xx&#x ♦ 2 4 | 0 1 4 2 0 0 2 | 0 2 0 0 2 0 0 1 0 0 0 | * * 6 * * * * * * * | 0 1 1 0 0
.. ox xx ..&#x ♦ 2 4 | 1 0 4 0 2 2 0 | 0 0 2 2 0 0 0 0 1 0 0 | * * * 6 * * * * * * | 1 0 0 1 0
.. ox .. xx&#x ♦ 2 4 | 0 1 4 0 2 0 2 | 0 0 2 0 2 0 0 0 0 1 0 | * * * * 6 * * * * * | 0 1 0 1 0
.. .. xx3xx&#x ♦ 6 6 | 3 3 6 0 0 3 3 | 1 0 0 3 3 0 0 0 0 0 1 | * * * * * 4 * * * * | 0 0 1 1 0
.x .x .x .. ♦ 0 8 | 0 0 0 4 4 4 0 | 0 0 0 0 0 2 2 0 2 0 0 | * * * * * * 3 * * * | 1 0 0 0 1
.x .x .. .x ♦ 0 8 | 0 0 0 4 4 0 4 | 0 0 0 0 0 2 0 2 0 2 0 | * * * * * * * 3 * * | 0 1 0 0 1
.x .. .x3.x ♦ 0 12 | 0 0 0 6 0 6 6 | 0 0 0 0 0 0 3 3 0 0 2 | * * * * * * * * 2 * | 0 0 1 0 1
.. .x .x3.x ♦ 0 12 | 0 0 0 0 6 6 6 | 0 0 0 0 0 0 0 0 3 3 2 | * * * * * * * * * 2 | 0 0 0 1 1
---------------+------+--------------------+---------------------------+---------------------+----------
ox ox xx ..&#x ♦ 2 8 | 1 0 8 4 4 4 0 | 0 4 4 4 0 2 2 0 2 0 0 | 2 2 0 2 0 0 1 0 0 0 | 3 * * * *
ox ox .. xx&#x ♦ 2 8 | 0 1 8 4 4 0 4 | 0 4 4 0 4 2 0 2 0 2 0 | 2 0 2 0 2 0 0 1 0 0 | * 3 * * *
ox .. xx3xx&#x ♦ 6 12 | 3 3 12 6 0 6 6 | 1 6 0 6 6 0 3 3 0 0 2 | 0 3 3 0 0 2 0 0 1 0 | * * 2 * *
.. ox xx3xx&#x ♦ 6 12 | 3 3 12 0 6 6 6 | 1 0 6 6 6 0 0 0 3 3 2 | 0 0 0 3 3 2 0 0 0 1 | * * * 2 *
.x .x .x3.x ♦ 0 24 | 0 0 0 12 12 12 12 | 0 0 0 0 0 6 6 6 6 6 4 | 0 0 0 0 0 0 3 3 2 2 | * * * * 1
oxx xxx3xxx&#x → height(1,2) = height(1,3) = sqrt(3)/2 = 0.866025
height(2,3) = 1
o.. o..3o.. | 6 * * | 1 1 2 2 0 0 0 0 0 0 0 | 1 1 2 2 2 1 2 2 0 0 0 0 0 0 0 0 0 | 1 1 2 1 2 2 1 1 2 0 0 0 0 0 | 1 1 1 2 1 0
.o. .o.3.o. | * 12 * | 0 0 1 0 1 1 1 1 0 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 0 0 1 1 1 1 0 | 1 1 1 1 0 1
..o ..o3..o | * * 12 | 0 0 0 1 0 0 0 1 1 1 1 | 0 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 | 3 * * * * * * * * * * | 1 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | 1 0 2 0 2 0 1 0 2 0 0 0 0 0 | 1 1 0 2 1 0
... ... x.. | 2 0 0 | * 3 * * * * * * * * * | 1 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 | 0 1 2 0 0 2 0 1 2 0 0 0 0 0 | 1 0 1 2 1 0
oo. oo.3oo.&#x | 1 1 0 | * * 12 * * * * * * * * | 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 0 0 | 1 1 1 1 0 0
o.o o.o3o.o&#x | 1 0 1 | * * * 12 * * * * * * * | 0 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 | * * * * 6 * * * * * * | 0 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 | 1 1 0 1 0 0 0 0 0 1 1 1 0 0 | 1 1 1 0 0 1
... .x. ... | 0 2 0 | * * * * * 6 * * * * * | 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 0 1 0 0 0 0 1 1 0 1 0 | 1 1 0 1 0 1
... ... .x. | 0 2 0 | * * * * * * 6 * * * * | 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 | 0 1 1 0 0 1 0 0 0 1 0 1 1 0 | 1 0 1 1 0 1
.oo .oo3.oo&#x | 0 1 1 | * * * * * * * 12 * * * | 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 | 0 0 0 1 1 1 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1
..x ... ... | 0 0 2 | * * * * * * * * 6 * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 1 0 0 1 1 0 0 1 1 0 1 | 0 1 1 1 0 1
... ..x ... | 0 0 2 | * * * * * * * * * 6 * | 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 | 0 0 0 0 1 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1
... ... ..x | 0 0 2 | * * * * * * * * * * 6 | 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 | 0 0 0 0 0 1 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1
---------------+---------+--------------------------+------------------------------------+-----------------------------+------------
... x..3x.. | 6 0 0 | 3 3 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * | 0 0 2 0 0 0 0 0 2 0 0 0 0 0 | 1 0 0 2 1 0
ox. ... ...&#x | 1 2 0 | 0 0 2 0 1 0 0 0 0 0 0 | * 6 * * * * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
... xx. ...&#x | 2 2 0 | 1 0 2 0 0 1 0 0 0 0 0 | * * 6 * * * * * * * * * * * * * * | 1 0 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
... ... xx.&#x | 2 2 0 | 0 1 2 0 0 0 1 0 0 0 0 | * * * 6 * * * * * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0
ooo ooo3ooo&#x | 1 1 1 | 0 0 1 1 0 0 0 1 0 0 0 | * * * * 12 * * * * * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
o.x ... ...&#x | 1 0 2 | 0 0 0 2 0 0 0 0 1 0 0 | * * * * * 6 * * * * * * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0
... x.x ...&#x | 2 0 2 | 1 0 0 2 0 0 0 0 0 1 0 | * * * * * * 6 * * * * * * * * * * | 0 0 0 0 1 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0
... ... x.x&#x | 2 0 2 | 0 1 0 2 0 0 0 0 0 0 1 | * * * * * * * 6 * * * * * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.x. .x. ... | 0 4 0 | 0 0 0 0 2 2 0 0 0 0 0 | * * * * * * * * 3 * * * * * * * * | 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1
.x. ... .x. | 0 4 0 | 0 0 0 0 2 0 2 0 0 0 0 | * * * * * * * * * 3 * * * * * * * | 0 1 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 0 1
... .x.3.x. | 0 6 0 | 0 0 0 0 0 3 3 0 0 0 0 | * * * * * * * * * * 2 * * * * * * | 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1
.xx ... ...&#x | 0 2 2 | 0 0 0 0 1 0 0 2 1 0 0 | * * * * * * * * * * * 6 * * * * * | 0 0 0 1 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
... .xx ...&#x | 0 2 2 | 0 0 0 0 0 1 0 2 0 1 0 | * * * * * * * * * * * * 6 * * * * | 0 0 0 0 1 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
... ... .xx&#x | 0 2 2 | 0 0 0 0 0 0 1 2 0 0 1 | * * * * * * * * * * * * * 6 * * * | 0 0 0 0 0 1 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
..x ..x ... | 0 0 4 | 0 0 0 0 0 0 0 0 2 2 0 | * * * * * * * * * * * * * * 3 * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1
..x ... ..x | 0 0 4 | 0 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * * * * 3 * | 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
... ..x3..x | 0 0 6 | 0 0 0 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * * * * * 2 | 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1
---------------+---------+--------------------------+------------------------------------+-----------------------------+------------
ox. xx. ...&#x ♦ 2 4 0 | 1 0 4 0 2 2 0 0 0 0 0 | 0 2 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 3 * * * * * * * * * * * * * | 1 1 0 0 0 0
ox. ... xx.&#x ♦ 2 4 0 | 0 1 4 0 2 0 2 0 0 0 0 | 0 2 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * * | 1 0 1 0 0 0
... xx.3xx.&#x ♦ 6 6 0 | 3 3 6 0 0 3 3 0 0 0 0 | 1 0 3 3 0 0 0 0 0 0 1 0 0 0 0 0 0 | * * 2 * * * * * * * * * * * | 1 0 0 1 0 0
oxx ... ...&#x ♦ 1 2 2 | 0 0 2 2 1 0 0 2 1 0 0 | 0 1 0 0 2 1 0 0 0 0 0 1 0 0 0 0 0 | * * * 6 * * * * * * * * * * | 0 1 1 0 0 0
... xxx ...&#x ♦ 2 2 2 | 1 0 2 2 0 1 0 2 0 1 0 | 0 0 1 0 2 0 1 0 0 0 0 0 1 0 0 0 0 | * * * * 6 * * * * * * * * * | 0 1 0 1 0 0
... ... xxx&#x ♦ 2 2 2 | 0 1 2 2 0 0 1 2 0 0 1 | 0 0 0 1 2 0 0 1 0 0 0 0 0 1 0 0 0 | * * * * * 6 * * * * * * * * | 0 0 1 1 0 0
o.x x.x ...&#x ♦ 2 0 4 | 1 0 0 4 0 0 0 0 2 2 0 | 0 0 0 0 0 2 2 0 0 0 0 0 0 0 1 0 0 | * * * * * * 3 * * * * * * * | 0 1 0 0 1 0
o.x ... x.x&#x ♦ 2 0 4 | 0 1 0 4 0 0 0 0 2 0 2 | 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 1 0 | * * * * * * * 3 * * * * * * | 0 0 1 0 1 0
... x.x3x.x&#x ♦ 6 0 6 | 3 3 0 6 0 0 0 0 0 3 3 | 1 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 1 | * * * * * * * * 2 * * * * * | 0 0 0 1 1 0
.x. .x.3.x. ♦ 0 12 0 | 0 0 0 0 6 6 6 0 0 0 0 | 0 0 0 0 0 0 0 0 3 3 2 0 0 0 0 0 0 | * * * * * * * * * 1 * * * * | 1 0 0 0 0 1
.xx .xx ...&#x ♦ 0 4 4 | 0 0 0 0 2 2 0 4 2 2 0 | 0 0 0 0 0 0 0 0 1 0 0 2 2 0 1 0 0 | * * * * * * * * * * 3 * * * | 0 1 0 0 0 1
.xx ... .xx&#x ♦ 0 4 4 | 0 0 0 0 2 0 2 4 2 0 2 | 0 0 0 0 0 0 0 0 0 1 0 2 0 2 0 1 0 | * * * * * * * * * * * 3 * * | 0 0 1 0 0 1
... .xx3.xx&#x ♦ 0 6 6 | 0 0 0 0 0 3 3 6 0 3 3 | 0 0 0 0 0 0 0 0 0 0 1 0 3 3 0 0 1 | * * * * * * * * * * * * 2 * | 0 0 0 1 0 1
..x ..x3..x ♦ 0 0 12 | 0 0 0 0 0 0 0 0 6 6 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 2 | * * * * * * * * * * * * * 1 | 0 0 0 0 1 1
---------------+---------+--------------------------+------------------------------------+-----------------------------+------------
ox. xx.3xx.&#x ♦ 6 12 0 | 3 3 12 0 6 6 6 0 0 0 0 | 1 6 6 6 0 0 0 0 3 3 2 0 0 0 0 0 0 | 3 3 2 0 0 0 0 0 0 1 0 0 0 0 | 1 * * * * *
oxx xxx ...&#x ♦ 2 4 4 | 1 0 4 4 2 2 0 4 2 2 0 | 0 2 2 0 4 2 2 0 1 0 0 2 2 0 1 0 0 | 1 0 0 2 2 0 1 0 0 0 1 0 0 0 | * 3 * * * *
oxx ... xxx&#x ♦ 2 4 4 | 0 1 4 4 2 0 2 4 2 0 2 | 0 2 0 2 4 2 0 2 0 1 0 2 0 2 0 1 0 | 0 1 0 2 0 2 0 1 0 0 0 1 0 0 | * * 3 * * *
... xxx3xxx&#x ♦ 6 6 6 | 3 3 6 6 0 3 3 6 0 3 3 | 1 0 3 3 6 0 3 3 0 0 1 0 3 3 0 0 1 | 0 0 1 0 3 3 0 0 1 0 0 0 1 0 | * * * 2 * *
o.x x.x3x.x&#x ♦ 6 0 12 | 3 3 0 12 0 0 0 0 6 6 6 | 1 0 0 0 0 6 6 6 0 0 0 0 0 0 3 3 2 | 0 0 0 0 0 0 3 3 2 0 0 0 0 1 | * * * * 1 *
.xx .xx3.xx&#x ♦ 0 12 12 | 0 0 0 0 6 6 6 12 6 6 6 | 0 0 0 0 0 0 0 0 3 3 2 6 6 6 3 3 2 | 0 0 0 0 0 0 0 0 0 1 3 3 2 1 | * * * * * 1
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