Acronym squadinit Name square-diminished nit Circumradius sqrt(3/2) = 1.224745 Lace cityin approx. ASCII-art ``` o3x4o o3x4o o3o4q o3x4o -- o3o3x4o (rit) o3x4o _ \_ +-- x o3x4o (cope) ``` Confer uniform relative: nit   related segmentotera: octacope   coarit   general polytopal classes: segmentotera

Incidence matrix according to Dynkin symbol

```oo3ox4qo ox4oo&#zx   → heights = 0
(tegum sum of q-cube and squaco)

o.3o.4o. o.4o.     | 8  * | 12  0  0 | 12 12  0  0  0 |  4 12  3 0  0  0 |  4 3 0
.o3.o4.o .o4.o     | * 48 |  2  4  2 |  4  4  2  2  8 |  2  8  1 1  4  4 |  4 2 2
-------------------+------+----------+----------------+------------------+-------
oo3oo4oo oo4oo&#x  | 1  1 | 96  *  * |  2  2  0  0  0 |  1  4  1 0  0  0 |  2 2 0
.. .x .. .. ..     | 0  2 |  * 96  * |  1  0  1  1  2 |  1  2  0 1  2  2 |  2 1 2
.. .. .. .x ..     | 0  2 |  *  * 48 |  0  2  0  0  4 |  0  4  1 0  2  2 |  2 2 1
-------------------+------+----------+----------------+------------------+-------
.. ox .. .. ..&#x  | 1  2 |  2  1  0 | 96  *  *  *  * |  1  2  0 0  0  0 |  2 1 0
.. .. .. ox ..&#x  | 1  2 |  2  0  1 |  * 96  *  *  * |  0  2  1 0  0  0 |  1 2 0
.o3.x .. .. ..     | 0  3 |  0  3  0 |  *  * 32  *  * |  1  0  0 1  2  0 |  2 0 2
.. .x4.o .. ..     | 0  4 |  0  4  0 |  *  *  * 24  * |  0  0  0 1  0  2 |  0 1 2
.. .x .. .x ..     | 0  4 |  0  2  2 |  *  *  *  * 96 |  0  1  0 0  1  1 |  1 1 1
-------------------+------+----------+----------------+------------------+-------
oo3ox .. .. ..&#x  ♦ 1  3 |  3  3  0 |  3  0  1  0  0 | 32  *  * *  *  * |  2 0 0
.. ox .. ox ..&#x  ♦ 1  4 |  4  2  2 |  2  2  0  0  1 |  * 96  * *  *  * |  1 1 0
.. .. qo ox4oo&#zx ♦ 2  4 |  8  0  4 |  0  8  0  0  0 |  *  * 12 *  *  * |  0 2 0
.o3.x4.o .. ..     ♦ 0 12 |  0 24  0 |  0  0  8  6  0 |  *  *  * 4  *  * |  0 0 2
.o3.x .. .x ..     ♦ 0  6 |  0  6  3 |  0  0  2  0  3 |  *  *  * * 32  * |  1 0 1
.. .x4.o .x ..     ♦ 0  8 |  0  8  4 |  0  0  0  2  4 |  *  *  * *  * 24 |  0 1 1
-------------------+------+----------+----------------+------------------+-------
oo3ox .. ox ..&#x  ♦ 1  6 |  6  6  3 |  6  3  2  0  3 |  2  3  0 0  1  0 | 32 * *
.. ox4qo ox4oo&#zx ♦ 4 16 | 32 16 16 | 16 32  0  4 16 |  0 16  4 0  0  4 |  * 6 *
.o3.x4.o .x ..     ♦ 0 24 |  0 48 12 |  0  0 16 12 24 |  0  0  0 2  8  6 |  * * 4
```

```xox ooo3xox4oqo&#xt   → both heights = 1/2
(cope || pseudo q-cube || cope)

o.. o..3o..4o..     & | 48 * |  1  4  2  1 |  4  2  2  2  4  2  4 |  2  2 1  4  2  1  4  2  2 | 1  2 2  2 1
.o. .o.3.o.4.o.       |  * 8 |  0  0 12  0 |  0  0  0  6 12  6  0 |  0  0 0  6  4  3  6  0  0 | 0  2 3  2 0
----------------------+------+-------------+----------------------+---------------------------+------------
x.. ... ... ...     & |  2 0 | 24  *  *  * |  4  0  0  2  0  0  0 |  2  2 0  4  0  1  0  0  0 | 1  2 2  0 0
... ... x.. ...     & |  2 0 |  * 96  *  * |  1  1  1  0  1  0  1 |  1  1 1  1  1  0  1  1  1 | 1  1 1  1 1
oo. oo.3oo.4oo.&#x  & |  1 1 |  *  * 96  * |  0  0  0  1  2  1  0 |  0  0 0  2  1  1  2  0  0 | 0  1 2  1 0
o.o o.o3o.o4o.o&#x    |  2 0 |  *  *  * 24 |  0  0  0  0  0  2  4 |  0  0 0  0  0  1  4  2  2 | 0  0 2  2 1
----------------------+------+-------------+----------------------+---------------------------+------------
x.. ... x.. ...     & |  4 0 |  2  2  0  0 | 48  *  *  *  *  *  * |  1  1 0  1  0  0  0  0  0 | 1  1 1  0 0
... o..3x.. ...     & |  3 0 |  0  3  0  0 |  * 32  *  *  *  *  * |  1  0 1  0  1  0  0  1  0 | 1  1 0  1 1
... ... x..4o..     & |  4 0 |  0  4  0  0 |  *  * 24  *  *  *  * |  0  1 1  0  0  0  0  0  1 | 1  0 1  0 1
xo. ... ... ...&#x  & |  2 1 |  1  0  2  0 |  *  *  * 48  *  *  * |  0  0 0  2  0  1  0  0  0 | 0  1 2  0 0
... ... xo. ...&#x  & |  2 1 |  0  1  2  0 |  *  *  *  * 96  *  * |  0  0 0  1  1  0  1  0  0 | 0  1 1  1 0
ooo ooo3ooo4ooo&#x    |  2 1 |  0  0  2  1 |  *  *  *  *  * 48  * |  0  0 0  0  0  1  2  0  0 | 0  0 2  1 0
... ... x.x ...&#x    |  4 0 |  0  2  0  2 |  *  *  *  *  *  * 48 |  0  0 0  0  0  0  1  1  1 | 0  0 1  1 1
----------------------+------+-------------+----------------------+---------------------------+------------
x.. o..3x.. ...     & ♦  6 0 |  3  6  0  0 |  3  2  0  0  0  0  0 | 16  * *  *  *  *  *  *  * | 1  1 0  0 0
x.. ... x..4o..     & ♦  8 0 |  4  8  0  0 |  4  0  2  0  0  0  0 |  * 12 *  *  *  *  *  *  * | 1  0 1  0 0
... o..3x..4o..     & ♦ 12 0 |  0 24  0  0 |  0  8  6  0  0  0  0 |  *  * 4  *  *  *  *  *  * | 1  0 0  0 1
xo. ... xo. ...&#x  & ♦  4 1 |  2  2  4  0 |  1  0  0  2  2  0  0 |  *  * * 48  *  *  *  *  * | 0  1 1  0 0
... oo.3xo. ...&#x  & ♦  3 1 |  0  3  3  0 |  0  1  0  0  3  0  0 |  *  * *  * 32  *  *  *  * | 0  1 0  1 0
xox ... ... oqo&#xt   ♦  4 2 |  2  0  8  2 |  0  0  0  4  0  4  0 |  *  * *  *  * 12  *  *  * | 0  0 2  0 0
... ... xox ...&#xt   ♦  4 1 |  0  2  4  2 |  0  0  0  0  2  2  1 |  *  * *  *  *  * 48  *  * | 0  0 1  1 0
... o.o3x.x ...&#x    ♦  6 0 |  0  6  0  3 |  0  2  0  0  0  0  3 |  *  * *  *  *  *  * 16  * | 0  0 0  1 1
... ... x.x4o.o&#x    ♦  8 0 |  0  8  0  4 |  0  0  2  0  0  0  4 |  *  * *  *  *  *  *  * 12 | 0  0 1  0 1
----------------------+------+-------------+----------------------+---------------------------+------------
x.. o..3x..4o..     & ♦ 24 0 | 12 48  0  0 | 24 16 12  0  0  0  0 |  8  6 2  0  0  0  0  0  0 | 2  * *  * *
xo. oo.3xo. ...&#x  & ♦  6 1 |  3  6  6  0 |  3  2  0  3  6  0  0 |  1  0 0  3  2  0  0  0  0 | * 16 *  * *
xox ... xox4oqo&#xt   ♦ 16 4 |  8 16 32  8 |  8  0  4 16 16 16  8 |  0  2 0  8  0  4  8  0  2 | *  * 6  * *
... ooo3xox ...&#x    ♦  6 1 |  0  6  6  3 |  0  2  0  0  6  3  3 |  0  0 0  0  2  0  3  1  0 | *  * * 16 *
... o.o3x.x4o.o&#x    ♦ 24 0 |  0 48  0 12 |  0 16 12  0  0  0 24 |  0  0 2  0  0  0  0  8  6 | *  * *  * 2
```

```o3x4o || ooo3xox4oqo&#xt || o3x4o   → both heights = 1/sqrt(2) = 0.707107
(co || pseudo rit || co)

o3o3o   ... ... ...       . . .  & | 24  * * |  4  2  2  0  0 |  2  2  8  4  4  0  0  0 | 1  4  4  8  1  2 0  0 | 2  4 2
. . .   o..3o..3o..       . . .  & |  * 24 * |  0  2  0  4  2 |  0  0  8  4  0  2  2  4 | 0  4  4  8  1  0 1  2 | 2  4 2
. . .   .o.3.o.3.o.       . . .    |  *  * 8 |  0  0  6  0  6 |  0  0  0 12  6  0  0  6 | 0  0  0 12  3  2 0  2 | 0  4 3
-----------------------------------+---------+----------------+-------------------------+-----------------------+-------
. x .   ... ... ...       . . .  & |  2  0 0 | 48  *  *  *  * |  1  1  2  0  1  0  0  0 | 1  2  2  2  0  1 0  0 | 2  2 1
o3o3o || o..3o..3o..       . . .  & |  1  1 0 |  * 48  *  *  * |  0  0  4  2  0  0  0  0 | 0  2  2  4  1  0 0  0 | 1  2 2
o3o3o || .o.3.o.3.o.       . . .  & |  1  0 1 |  *  * 48  *  * |  0  0  0  2  2  0  0  0 | 0  0  0  4  1  1 0  0 | 0  2 2
. . .   ... x.. ...       . . .  & |  0  2 0 |  *  *  * 48  * |  0  0  2  0  0  1  1  1 | 0  2  2  2  0  0 1  1 | 2  2 1
. . .   oo.3oo.3oo.&#x    . . .  & |  0  1 1 |  *  *  *  * 48 |  0  0  0  2  0  0  0  2 | 0  0  0  4  1  0 0  1 | 0  2 2
-----------------------------------+---------+----------------+-------------------------+-----------------------+-------
o3x .   ... ... ...       . . .  & |  3  0 0 |  3  0  0  0  0 | 16  *  *  *  *  *  *  * | 1  2  0  0  0  1 0  0 | 2  2 0
. x4o   ... ... ...       . . .  & |  4  0 0 |  4  0  0  0  0 |  * 12  *  *  *  *  *  * | 1  0  2  0  0  0 0  0 | 2  0 1
. x . || ... x.. ...       . . .  & |  2  2 0 |  1  2  0  1  0 |  *  * 96  *  *  *  *  * | 0  1  1  1  0  0 0  0 | 1  1 1
o3o3o || oo.3oo.3oo.&#x    . . .  & |  1  1 1 |  0  1  1  0  1 |  *  *  * 96  *  *  *  * | 0  0  0  2  1  0 0  0 | 0  1 2
. x . || .o.3.o.3.o.       . . .  & |  2  0 1 |  1  0  2  0  0 |  *  *  *  * 48  *  *  * | 0  0  0  2  0  1 0  0 | 0  2 1
. . .   o..3x.. ...       . . .  & |  0  3 0 |  0  0  0  3  0 |  *  *  *  *  * 16  *  * | 0  2  0  0  0  0 1  1 | 2  2 0
. . .   ... x..4o..       . . .  & |  0  4 0 |  0  0  0  4  0 |  *  *  *  *  *  * 12  * | 0  0  2  0  0  0 1  0 | 2  0 1
. . .   ... xo. ...&#x    . . .  & |  0  2 1 |  0  0  0  1  2 |  *  *  *  *  *  *  * 48 | 0  0  0  2  0  0 0  1 | 0  2 1
-----------------------------------+---------+----------------+-------------------------+-----------------------+-------
o3x4o   ... ... ...       . . .  & ♦ 12  0 0 | 24  0  0  0  0 |  8  6  0  0  0  0  0  0 | 2  *  *  *  *  * *  * | 2  0 0
o3x . || o..3x.. ...       . . .  & ♦  3  3 0 |  3  3  0  3  0 |  1  0  3  0  0  1  0  0 | * 32  *  *  *  * *  * | 1  1 0
. x4o || ... x..4o..       . . .  & ♦  4  4 0 |  4  4  0  4  0 |  0  1  4  0  0  0  1  0 | *  * 24  *  *  * *  * | 1  0 1
. x . || ... xo. ...&#x    . . .  & ♦  2  2 1 |  1  2  2  1  2 |  0  0  1  2  1  0  0  1 | *  *  * 96  *  * *  * | 0  1 1
o3o3o || ... ... oqo&#xt || o3o3o    ♦  2  2 2 |  0  4  4  0  4 |  0  0  0  8  0  0  0  0 | *  *  *  * 12  * *  * | 0  0 2
o3x . || .o.3.o. ...       . . .  & ♦  3  0 1 |  3  0  3  0  0 |  1  0  0  0  3  0  0  0 | *  *  *  *  * 16 *  * | 0  2 0
. . .   o..3x..4o..       . . .  & ♦  0 12 0 |  0  0  0 24  0 |  0  0  0  0  0  8  6  0 | *  *  *  *  *  * 2  * | 2  0 0
. . .   oo.3xo. ...&#x    . . .  & ♦  0  3 1 |  0  0  0  3  3 |  0  0  0  0  0  1  0  3 | *  *  *  *  *  * * 16 | 0  2 0
-----------------------------------+---------+----------------+-------------------------+-----------------------+-------
o3x4o || o..3x..4o..       . . .  & ♦ 12 12 0 | 24 12  0 24  0 |  8  6 24  0  0  8  6  0 | 1  8  6  0  0  0 1  0 | 4  * *
o3x . || oo.3xo. ...&#x    . . .  & ♦  3  3 1 |  3  3  3  3  3 |  1  0  3  3  3  1  0  3 | 0  1  0  3  0  1 0  1 | * 32 *
. x4o || ... xox4oqo&#xt || . x4o    ♦  8  8 4 |  8 16 16  8 16 |  0  2 16 32  8  0  2  8 | 0  0  4 16  4  0 0  0 | *  * 6
```

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