Acronym	rico
Name	rectified icosatetrachoron, cantellated hexadecachoron
Cross sections	©
Circumradius	sqrt(3) = 1.732051
Vertex figure	©
Vertex layers	Layer Symmetry Subsymmetries   o3o4o3o o3o4o . o3o . o o . o3o . o4o3o 1 o3x4o3o o3x4o . co first o3x . o {3} first o . o3o vertex first . x4o3o cube first 2 x3x4o . x3x . q x . q3o vertex figure . o4q3o 3a x3o4q . x3o . Q u . o3q . x4o3q 3b u3x . o 4a x3x4o . x3u . q x . q3q . u4o3o 4b H . o3o 5a o3x4o . opposite co x3x . Q o . o3Q . x4o3q 5b H3o . o 5c o3H . o 6a   u3x . q x . Q3o . o4q3o 6b H . o3q 7a o3x . Q u . q3q . x4o3o opposite cube 7b x3u . o 8a x3x . q x . o3Q   8b H . q3o 9 x3o . o opposite {3} o . Q3o 10a   x . q3q 10b H . o3o 11 u . q3o 12 x . o3q 13 o . o3o opposite vertex   o3o3o4o o3o3o . o3o . o o . o4o . o3o4o 1 x3o3x4o x3o3x . co first x3o . o {3} first x . x4o cube first . o3x4o co first 2a x3x3x . x3x . q u . o4q . x3x4o 2b o . u4o 3a u3x3o . o3x . Q H . x4o . x3o4q 3b o3x3u . x3u . o x . x4q 4 x3x3x . u3x . q u . u4o . x3x4o 5a x3o3x . opposite co x3x . Q H . x4o . o3x4o opposite co 5b H3o . o x . x4q 5c o3H . o 6a   x3u . q u . o4q   6b o . u4o 7a x3o . Q x . x4o opposite cube 7b u3x . o 8 x3x . q   9 o3x . o opposite {3}   o3o3o *b3o o3o3o    . o3o . *b3o o . o    o . o3o *b3o 1 x3o3x *b3x x3o3x    . co first x3o . *b3x co first x . x    x cube first . o3x *b3x co first 2a x3x3x    . x3x . *b3x u . u    o . x3x *b3x 2b u . o    u 2c o . u    u 3a u3x3o    . u3x . *b3o x . x    H . x3u *b3o 3b o3x3u    . o3x . *b3u x . H    x . x3o *b3u 3c H . x    x 4 x3x3x    . x3x . *b3x u . u    u . x3x *b3x 5a x3o3x    . opposite co x3o . *b3x opposite co x . x    H . o3x *b3x opposite co 5b x . H    x 5c H . x    x 6a     u . u    o   6b u . o    u 6c o . u    u 7 x . x    x opposite cube (H=hh=3x, Q=2q)
Lace city in approx. ASCII-art	©   o3x x3x x3o x3x u3x x3u x3x x3o x3u oH3Ho u3x o3x x3x u3x x3u x3x o3x x3x x3o
	©   o3o o3q o3q q3o q3o o3o q3q q3q o3o Q3o q3o o3Q o3Q q3o q3q q3q o3q Q3o Q3o o3q o3Q o3o q3q q3q o3o o3q o3q q3o q3o o3o
	©   x4o o4q x4o x4o u4o x4q u4o x4o o4q x4q x4q o4q x4o u4o x4q u4o x4o x4o o4q x4o
Coordinates	(sqrt(2), 1/sqrt(2), 1/sqrt(2), 0)   & all permutations, all changes of sign
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: co cube oho toe rico 24 24 0 0 ini 24 0 0 24 rawvhitto 8 0 16 8 frico 0 24 0 24   & others)
Confer	Grünbaumian relatives: 2rico   2rico+64{6}+128{3}   2rico+64{6}+192{3}   segmentochora: co || toe   related CRFs: pabdirico   cytid rico
External links

Incidence matrix according to Dynkin symbol

o3x4o3o

. . . . | 96 ♦   6 |  3   6 |  3  2
--------+----+-----+--------+------
. x . . |  2 | 288 |  1   2 |  2  1
--------+----+-----+--------+------
o3x . . |  3 |   3 | 96   * |  2  0
. x4o . |  4 |   4 |  * 144 |  1  1
--------+----+-----+--------+------
o3x4o . ♦ 12 |  24 |  8   6 | 24  *
. x4o3o ♦  8 |  12 |  0   6 |  * 24

o3x4o3/2o

. . .   . | 96 ♦   6 |  3   6 |  3  2
----------+----+-----+--------+------
. x .   . |  2 | 288 |  1   2 |  2  1
----------+----+-----+--------+------
o3x .   . |  3 |   3 | 96   * |  2  0
. x4o   . |  4 |   4 |  * 144 |  1  1
----------+----+-----+--------+------
o3x4o   . ♦ 12 |  24 |  8   6 | 24  *
. x4o3/2o ♦  8 |  12 |  0   6 |  * 24

o3x4/3o3o

. .   . . | 96 ♦   6 |  3   6 |  3  2
----------+----+-----+--------+------
. x   . . |  2 | 288 |  1   2 |  2  1
----------+----+-----+--------+------
o3x   . . |  3 |   3 | 96   * |  2  0
. x4/3o . |  4 |   4 |  * 144 |  1  1
----------+----+-----+--------+------
o3x4/3o . ♦ 12 |  24 |  8   6 | 24  *
. x4/3o3o ♦  8 |  12 |  0   6 |  * 24

o3x4/3o3/2o

. .   .   . | 96 ♦   6 |  3   6 |  3  2
------------+----+-----+--------+------
. x   .   . |  2 | 288 |  1   2 |  2  1
------------+----+-----+--------+------
o3x   .   . |  3 |   3 | 96   * |  2  0
. x4/3o   . |  4 |   4 |  * 144 |  1  1
------------+----+-----+--------+------
o3x4/3o   . ♦ 12 |  24 |  8   6 | 24  *
. x4/3o3/2o ♦  8 |  12 |  0   6 |  * 24

o3/2x4o3o

.   . . . | 96 ♦   6 |  3   6 |  3  2
----------+----+-----+--------+------
.   x . . |  2 | 288 |  1   2 |  2  1
----------+----+-----+--------+------
o3/2x . . |  3 |   3 | 96   * |  2  0
.   x4o . |  4 |   4 |  * 144 |  1  1
----------+----+-----+--------+------
o3/2x4o . ♦ 12 |  24 |  8   6 | 24  *
.   x4o3o ♦  8 |  12 |  0   6 |  * 24

o3/2x4o3/2o

.   . .   . | 96 ♦   6 |  3   6 |  3  2
------------+----+-----+--------+------
.   x .   . |  2 | 288 |  1   2 |  2  1
------------+----+-----+--------+------
o3/2x .   . |  3 |   3 | 96   * |  2  0
.   x4o   . |  4 |   4 |  * 144 |  1  1
------------+----+-----+--------+------
o3/2x4o   . ♦ 12 |  24 |  8   6 | 24  *
.   x4o3/2o ♦  8 |  12 |  0   6 |  * 24

o3/2x4/3o3o

.   .   . . | 96 ♦   6 |  3   6 |  3  2
------------+----+-----+--------+------
.   x   . . |  2 | 288 |  1   2 |  2  1
------------+----+-----+--------+------
o3/2x   . . |  3 |   3 | 96   * |  2  0
.   x4/3o . |  4 |   4 |  * 144 |  1  1
------------+----+-----+--------+------
o3/2x4/3o . ♦ 12 |  24 |  8   6 | 24  *
.   x4/3o3o ♦  8 |  12 |  0   6 |  * 24

o3/2x4/3o3/2o

.   .   .   . | 96 ♦   6 |  3   6 |  3  2
--------------+----+-----+--------+------
.   x   .   . |  2 | 288 |  1   2 |  2  1
--------------+----+-----+--------+------
o3/2x   .   . |  3 |   3 | 96   * |  2  0
.   x4/3o   . |  4 |   4 |  * 144 |  1  1
--------------+----+-----+--------+------
o3/2x4/3o   . ♦ 12 |  24 |  8   6 | 24  *
.   x4/3o3/2o ♦  8 |  12 |  0   6 |  * 24

x3o3x4o

. . . . | 96 ♦  2   4 |  1  4  2  2 |  2  2 1
--------+----+--------+-------------+--------
x . . . |  2 | 96   * |  1  2  0  0 |  2  1 0
. . x . |  2 |  * 192 |  0  1  1  1 |  1  1 1
--------+----+--------+-------------+--------
x3o . . |  3 |  3   0 | 32  *  *  * |  2  0 0
x . x . |  4 |  2   2 |  * 96  *  * |  1  1 0
. o3x . |  3 |  0   3 |  *  * 64  * |  1  0 1
. . x4o |  4 |  0   4 |  *  *  * 48 |  0  1 1
--------+----+--------+-------------+--------
x3o3x . ♦ 12 | 12  12 |  4  6  4  0 | 16  * *
x . x4o ♦  8 |  4   8 |  0  4  0  2 |  * 24 *
. o3x4o ♦ 12 |  0  24 |  0  0  8  6 |  *  * 8

x3o3x4/3o

. . .   . | 96 ♦  2   4 |  1  4  2  2 |  2  2 1
----------+----+--------+-------------+--------
x . .   . |  2 | 96   * |  1  2  0  0 |  2  1 0
. . x   . |  2 |  * 192 |  0  1  1  1 |  1  1 1
----------+----+--------+-------------+--------
x3o .   . |  3 |  3   0 | 32  *  *  * |  2  0 0
x . x   . |  4 |  2   2 |  * 96  *  * |  1  1 0
. o3x   . |  3 |  0   3 |  *  * 64  * |  1  0 1
. . x4/3o |  4 |  0   4 |  *  *  * 48 |  0  1 1
----------+----+--------+-------------+--------
x3o3x   . ♦ 12 | 12  12 |  4  6  4  0 | 16  * *
x . x4/3o ♦  8 |  4   8 |  0  4  0  2 |  * 24 *
. o3x4/3o ♦ 12 |  0  24 |  0  0  8  6 |  *  * 8

x3/2o3/2x4o

.   .   . . | 96 ♦  2   4 |  1  4  2  2 |  2  2 1
------------+----+--------+-------------+--------
x   .   . . |  2 | 96   * |  1  2  0  0 |  2  1 0
.   .   x . |  2 |  * 192 |  0  1  1  1 |  1  1 1
------------+----+--------+-------------+--------
x3/2o   . . |  3 |  3   0 | 32  *  *  * |  2  0 0
x   .   x . |  4 |  2   2 |  * 96  *  * |  1  1 0
.   o3/2x . |  3 |  0   3 |  *  * 64  * |  1  0 1
.   .   x4o |  4 |  0   4 |  *  *  * 48 |  0  1 1
------------+----+--------+-------------+--------
x3/2o3/2x . ♦ 12 | 12  12 |  4  6  4  0 | 16  * *
x   .   x4o ♦  8 |  4   8 |  0  4  0  2 |  * 24 *
.   o3/2x4o ♦ 12 |  0  24 |  0  0  8  6 |  *  * 8

x3/2o3/2x4/3o

.   .   .   . | 96 ♦  2   4 |  1  4  2  2 |  2  2 1
--------------+----+--------+-------------+--------
x   .   .   . |  2 | 96   * |  1  2  0  0 |  2  1 0
.   .   x   . |  2 |  * 192 |  0  1  1  1 |  1  1 1
--------------+----+--------+-------------+--------
x3/2o   .   . |  3 |  3   0 | 32  *  *  * |  2  0 0
x   .   x   . |  4 |  2   2 |  * 96  *  * |  1  1 0
.   o3/2x   . |  3 |  0   3 |  *  * 64  * |  1  0 1
.   .   x4/3o |  4 |  0   4 |  *  *  * 48 |  0  1 1
--------------+----+--------+-------------+--------
x3/2o3/2x   . ♦ 12 | 12  12 |  4  6  4  0 | 16  * *
x  .   x4/3o ♦  8 |  4   8 |  0  4  0  2 |  * 24 *
.   o3/2x4/3o ♦ 12 |  0  24 |  0  0  8  6 |  *  * 8

x3o3x *b3x

. . .    . | 96 ♦  2  2  2 |  1  2  2  1  2  1 | 1 1  2 1
-----------+----+----------+-------------------+---------
x . .    . |  2 | 96  *  * |  1  1  1  0  0  0 | 1 1  1 0
. . x    . |  2 |  * 96  * |  0  1  0  1  1  0 | 1 0  1 1
. . .    x |  2 |  *  * 96 |  0  0  1  0  1  1 | 0 1  1 1
-----------+----+----------+-------------------+---------
x3o .    . |  3 |  3  0  0 | 32  *  *  *  *  * | 1 1  0 0
x . x    . |  4 |  2  2  0 |  * 48  *  *  *  * | 1 0  1 0
x . .    x |  4 |  2  0  2 |  *  * 48  *  *  * | 0 1  1 0
. o3x    . |  3 |  0  3  0 |  *  *  * 32  *  * | 1 0  0 1
. . x    x |  4 |  0  2  2 |  *  *  *  * 48  * | 0 0  1 1
  o . *b3x |  3 |  0  0  3 |  *  *  *  *  * 32 | 0 1  0 1
-----------+----+----------+-------------------+---------
x3o3x    . ♦ 12 | 12 12  0 |  4  6  0  4  0  0 | 8 *  * *
x3o . *b3x ♦ 12 | 12  0 12 |  4  0  6  0  0  4 | * 8  * *
x . x    x ♦  8 |  4  4  4 |  0  2  2  0  2  0 | * * 24 *
. o3x *b3x ♦ 12 |  0 12 12 |  0  0  0  4  6  4 | * *  * 8

x3/2o3/2x *b3/2x

.   .   .      . | 96 ♦  2  2  2 |  1  2  2  1  2  1 | 1 1  2 1
-----------------+----+----------+-------------------+---------
x   .   .      . |  2 | 96  *  * |  1  1  1  0  0  0 | 1 1  1 0
.   .   x      . |  2 |  * 96  * |  0  1  0  1  1  0 | 1 0  1 1
.   .   .      x |  2 |  *  * 96 |  0  0  1  0  1  1 | 0 1  1 1
-----------------+----+----------+-------------------+---------
x3/2o   .      . |  3 |  3  0  0 | 32  *  *  *  *  * | 1 1  0 0
x   .   x      . |  4 |  2  2  0 |  * 48  *  *  *  * | 1 0  1 0
x   .   .      x |  4 |  2  0  2 |  *  * 48  *  *  * | 0 1  1 0
.   o3/2x      . |  3 |  0  3  0 |  *  *  * 32  *  * | 1 0  0 1
.   .   x      x |  4 |  0  2  2 |  *  *  *  * 48  * | 0 0  1 1
.   o   . *b3/2x |  3 |  0  0  3 |  *  *  *  *  * 32 | 0 1  0 1
-----------------+----+----------+-------------------+---------
x3/2o3/2x      . ♦ 12 | 12 12  0 |  4  6  0  4  0  0 | 8 *  * *
x3/2o   . *b3/2x ♦ 12 | 12  0 12 |  4  0  6  0  0  4 | * 8  * *
x   .   x      x ♦  8 |  4  4  4 |  0  2  2  0  2  0 | * * 24 *
.   o3/2x *b3/2x ♦ 12 |  0 12 12 |  0  0  0  4  6  4 | * *  * 8

s4x3o3x

demi( . . . . ) | 96 ♦  2  2  2 |  2  1  2  1  1  2 | 1  2 1 1
----------------+----+----------+-------------------+---------
demi( . x . . ) |  2 | 96  *  * |  1  1  1  0  0  0 | 1  1 1 0
demi( . . . x ) |  2 |  * 96  * |  0  0  1  1  0  1 | 0  1 1 1
sefa( s4x . . ) |  2 |  *  * 96 |  1  0  0  0  1  1 | 1  1 0 1
----------------+----+----------+-------------------+---------
      s4x . .   ♦  4 |  2  0  2 | 48  *  *  *  *  * | 1  1 0 0
demi( . x3o . ) |  3 |  3  0  0 |  * 32  *  *  *  * | 1  0 1 0
demi( . x . x ) |  4 |  2  2  0 |  *  * 48  *  *  * | 0  1 1 0
demi( . . o3x ) |  3 |  0  3  0 |  *  *  * 32  *  * | 0  0 1 1
sefa( s4x3o . ) |  3 |  0  0  3 |  *  *  *  * 32  * | 1  0 0 1
sefa( s4x . x ) |  4 |  0  2  2 |  *  *  *  *  * 48 | 0  2 0 0
----------------+----+----------+-------------------+---------
      s4x3o .   ♦ 12 | 12  0 12 |  6  4  0  0  4  0 | 8  * * *
      s4x . x   ♦  8 |  4  4  4 |  2  0  2  0  0  2 | * 24 * *
demi( . x3o3x ) ♦ 12 | 12 12  0 |  0  4  6  4  0  0 | *  * 8 *
sefa( s4x3o3x ) ♦ 12 |  0 12 12 |  6  0  0  4  4  0 | *  * * 8

oxxxo3xxoxx4ooqoo&#xt   → all heights = 1/sqrt(2) = 0.707107
(co || pseudo toe || pseudo (x,q)-sirco || pseudo toe || co)

o....3o....4o....     | 12  *  *  *  * ♦  4  2  0  0  0  0  0  0  0  0  0 | 2 2  1  4 0  0  0  0 0  0  0 0  0  0 0 0 | 1 2 2  0 0 0 0 0
.o...3.o...4.o...     |  * 24  *  *  * ♦  0  1  1  2  2  0  0  0  0  0  0 | 0 0  1  2 1  2  2  1 0  0  0 0  0  0 0 0 | 0 2 1  1 1 0 0 0
..o..3..o..4..o..     |  *  * 24  *  * ♦  0  0  0  0  2  2  2  0  0  0  0 | 0 0  0  0 0  2  1  2 1  2  1 0  0  0 0 0 | 0 1 0  2 1 1 0 0
...o.3...o.4...o.     |  *  *  * 24  * ♦  0  0  0  0  0  0  2  1  2  1  0 | 0 0  0  0 0  0  0  1 0  2  2 1  1  2 0 0 | 0 0 0  1 1 2 1 0
....o3....o4....o     |  *  *  *  * 12 ♦  0  0  0  0  0  0  0  0  0  2  4 | 0 0  0  0 0  0  0  0 0  0  0 0  1  4 2 2 | 0 0 0  0 0 2 2 1
----------------------+----------------+----------------------------------+------------------------------------------+-----------------
..... x.... .....     |  2  0  0  0  0 | 24  *  *  *  *  *  *  *  *  *  * | 1 1  0  1 0  0  0  0 0  0  0 0  0  0 0 0 | 1 1 1  0 0 0 0 0
oo...3oo...4oo...&#x  |  1  1  0  0  0 |  * 24  *  *  *  *  *  *  *  *  * | 0 0  1  2 0  0  0  0 0  0  0 0  0  0 0 0 | 0 2 1  0 0 0 0 0
.x... ..... .....     |  0  2  0  0  0 |  *  * 12  *  *  *  *  *  *  *  * | 0 0  1  0 0  2  0  0 0  0  0 0  0  0 0 0 | 0 2 0  1 0 0 0 0
..... .x... .....     |  0  2  0  0  0 |  *  *  * 24  *  *  *  *  *  *  * | 0 0  0  1 1  0  1  0 0  0  0 0  0  0 0 0 | 0 1 1  0 1 0 0 0
.oo..3.oo..4.oo..&#x  |  0  1  1  0  0 |  *  *  *  * 48  *  *  *  *  *  * | 0 0  0  0 0  1  1  1 0  0  0 0  0  0 0 0 | 0 1 0  1 1 0 0 0
..x.. ..... .....     |  0  0  2  0  0 |  *  *  *  *  * 24  *  *  *  *  * | 0 0  0  0 0  1  0  0 1  1  0 0  0  0 0 0 | 0 1 0  1 0 1 0 0
..oo.3..oo.4..oo.&#x  |  0  0  1  1  0 |  *  *  *  *  *  * 48  *  *  *  * | 0 0  0  0 0  0  0  1 0  1  1 0  0  0 0 0 | 0 0 0  1 1 1 0 0
...x. ..... .....     |  0  0  0  2  0 |  *  *  *  *  *  *  * 12  *  *  * | 0 0  0  0 0  0  0  0 0  2  0 0  1  0 0 0 | 0 0 0  1 0 2 0 0
..... ...x. .....     |  0  0  0  2  0 |  *  *  *  *  *  *  *  * 24  *  * | 0 0  0  0 0  0  0  0 0  0  1 1  0  1 0 0 | 0 0 0  0 1 1 1 0
...oo3...oo4...oo&#x  |  0  0  0  1  1 |  *  *  *  *  *  *  *  *  * 24  * | 0 0  0  0 0  0  0  0 0  0  0 0  1  2 0 0 | 0 0 0  0 0 2 1 0
..... ....x .....     |  0  0  0  0  2 |  *  *  *  *  *  *  *  *  *  * 24 | 0 0  0  0 0  0  0  0 0  0  0 0  0  1 1 1 | 0 0 0  0 0 1 1 1
----------------------+----------------+----------------------------------+------------------------------------------+-----------------
o....3x.... .....     |  3  0  0  0  0 |  3  0  0  0  0  0  0  0  0  0  0 | 8 *  *  * *  *  *  * *  *  * *  *  * * * | 1 1 0  0 0 0 0 0
..... x....4o....     |  4  0  0  0  0 |  4  0  0  0  0  0  0  0  0  0  0 | * 6  *  * *  *  *  * *  *  * *  *  * * * | 1 0 1  0 0 0 0 0
ox... ..... .....&#x  |  1  2  0  0  0 |  0  2  1  0  0  0  0  0  0  0  0 | * * 12  * *  *  *  * *  *  * *  *  * * * | 0 2 0  0 0 0 0 0
..... xx... .....&#x  |  2  2  0  0  0 |  1  2  0  1  0  0  0  0  0  0  0 | * *  * 24 *  *  *  * *  *  * *  *  * * * | 0 1 1  0 0 0 0 0
..... .x...4.o...     |  0  4  0  0  0 |  0  0  0  4  0  0  0  0  0  0  0 | * *  *  * 6  *  *  * *  *  * *  *  * * * | 0 0 1  0 1 0 0 0
.xx.. ..... .....&#x  |  0  2  2  0  0 |  0  0  1  0  2  1  0  0  0  0  0 | * *  *  * * 24  *  * *  *  * *  *  * * * | 0 1 0  1 0 0 0 0
..... .xo.. .....&#x  |  0  2  1  0  0 |  0  0  0  1  2  0  0  0  0  0  0 | * *  *  * *  * 24  * *  *  * *  *  * * * | 0 1 0  0 1 0 0 0
..... ..... .oqo.&#xt |  0  1  2  1  0 |  0  0  0  0  2  0  2  0  0  0  0 | * *  *  * *  *  * 24 *  *  * *  *  * * * | 0 0 0  1 1 0 0 0
..x..3..o.. .....     |  0  0  3  0  0 |  0  0  0  0  0  3  0  0  0  0  0 | * *  *  * *  *  *  * 8  *  * *  *  * * * | 0 1 0  0 0 1 0 0
..xx. ..... .....&#x  |  0  0  2  2  0 |  0  0  0  0  0  1  2  1  0  0  0 | * *  *  * *  *  *  * * 24  * *  *  * * * | 0 0 0  1 0 1 0 0
..... ..ox. .....&#x  |  0  0  1  2  0 |  0  0  0  0  0  0  2  0  1  0  0 | * *  *  * *  *  *  * *  * 24 *  *  * * * | 0 0 0  0 1 1 0 0
..... ...x.4...o.     |  0  0  0  4  0 |  0  0  0  0  0  0  0  0  4  0  0 | * *  *  * *  *  *  * *  *  * 6  *  * * * | 0 0 0  0 1 0 1 0
...xo ..... .....&#x  |  0  0  0  2  1 |  0  0  0  0  0  0  0  1  0  2  0 | * *  *  * *  *  *  * *  *  * * 12  * * * | 0 0 0  0 0 2 0 0
..... ...xx .....&#x  |  0  0  0  2  2 |  0  0  0  0  0  0  0  0  1  2  1 | * *  *  * *  *  *  * *  *  * *  * 24 * * | 0 0 0  0 0 1 1 0
....o3....x .....     |  0  0  0  0  3 |  0  0  0  0  0  0  0  0  0  0  3 | * *  *  * *  *  *  * *  *  * *  *  * 8 * | 0 0 0  0 0 1 0 1
..... ....x4....o     |  0  0  0  0  4 |  0  0  0  0  0  0  0  0  0  0  4 | * *  *  * *  *  *  * *  *  * *  *  * * 6 | 0 0 0  0 0 0 1 1
----------------------+----------------+----------------------------------+------------------------------------------+-----------------
o....3x....4o....     ♦ 12  0  0  0  0 | 24  0  0  0  0  0  0  0  0  0  0 | 8 6  0  0 0  0  0  0 0  0  0 0  0  0 0 0 | 1 * *  * * * * *
oxx..3xxo.. .....&#xt ♦  3  6  3  0  0 |  3  6  3  3  6  3  0  0  0  0  0 | 1 0  3  3 0  3  3  0 1  0  0 0  0  0 0 0 | * 8 *  * * * * *
..... xx...4oo...&#x  ♦  4  4  0  0  0 |  4  4  0  4  0  0  0  0  0  0  0 | 0 1  0  4 1  0  0  0 0  0  0 0  0  0 0 0 | * * 6  * * * * *
.xxx. ..... .oqo.&#xt ♦  0  2  4  2  0 |  0  0  1  0  4  2  4  1  0  0  0 | 0 0  0  0 0  2  0  2 0  2  0 0  0  0 0 0 | * * * 12 * * * *
..... .xox.4.oqo.&#xt ♦  0  4  4  4  0 |  0  0  0  4  8  0  8  0  4  0  0 | 0 0  0  0 1  0  4  4 0  0  4 1  0  0 0 0 | * * *  * 6 * * *
..xxo3..oxx .....&#xt ♦  0  0  3  6  3 |  0  0  0  0  0  3  6  3  3  6  3 | 0 0  0  0 0  0  0  0 1  3  3 0  3  3 1 0 | * * *  * * 8 * *
..... ...xx4...oo&#x  ♦  0  0  0  4  4 |  0  0  0  0  0  0  0  0  4  4  4 | 0 0  0  0 0  0  0  0 0  0  0 1  0  4 0 1 | * * *  * * * 6 *
....o3....x4....o     ♦  0  0  0  0 12 |  0  0  0  0  0  0  0  0  0  0 24 | 0 0  0  0 0  0  0  0 0  0  0 0  0  0 8 6 | * * *  * * * * 1

or
o....3o....4o....      & | 24  *  * ♦  4  2  0  0  0  0 |  2  2  1  4  0  0  0  0 0 | 1  2  2  0 0
.o...3.o...4.o...      & |  * 48  * ♦  0  1  1  2  2  0 |  0  0  1  2  1  2  2  1 0 | 0  2  1  1 1
..o..3..o..4..o..        |  *  * 24 ♦  0  0  0  0  4  2 |  0  0  0  0  0  4  2  2 1 | 0  2  0  2 1
-------------------------+----------+-------------------+---------------------------+-------------
..... x.... .....      & |  2  0  0 | 48  *  *  *  *  * |  1  1  0  1  0  0  0  0 0 | 1  1  1  0 0
oo...3oo...4oo...&#x   & |  1  1  0 |  * 48  *  *  *  * |  0  0  1  2  0  0  0  0 0 | 0  2  1  0 0
.x... ..... .....      & |  0  2  0 |  *  * 24  *  *  * |  0  0  1  0  0  2  0  0 0 | 0  2  0  1 0
..... .x... .....      & |  0  2  0 |  *  *  * 48  *  * |  0  0  0  1  1  0  1  0 0 | 0  1  1  0 1
.oo..3.oo..4.oo..&#x   & |  0  1  1 |  *  *  *  * 96  * |  0  0  0  0  0  1  1  1 0 | 0  1  0  1 1
..x.. ..... .....        |  0  0  2 |  *  *  *  *  * 24 |  0  0  0  0  0  2  0  0 1 | 0  2  0  1 0
-------------------------+----------+-------------------+---------------------------+-------------
o....3x.... .....      & |  3  0  0 |  3  0  0  0  0  0 | 16  *  *  *  *  *  *  * * | 1  1  0  0 0
..... x....4o....      & |  4  0  0 |  4  0  0  0  0  0 |  * 12  *  *  *  *  *  * * | 1  0  1  0 0
ox... ..... .....&#x   & |  1  2  0 |  0  2  1  0  0  0 |  *  * 24  *  *  *  *  * * | 0  2  0  0 0
..... xx... .....&#x   & |  2  2  0 |  1  2  0  1  0  0 |  *  *  * 48  *  *  *  * * | 0  1  1  0 0
..... .x...4.o...      & |  0  4  0 |  0  0  0  4  0  0 |  *  *  *  * 12  *  *  * * | 0  0  1  0 1
.xx.. ..... .....&#x   & |  0  2  2 |  0  0  1  0  2  1 |  *  *  *  *  * 48  *  * * | 0  1  0  1 0
..... .xo.. .....&#x   & |  0  2  1 |  0  0  0  1  2  0 |  *  *  *  *  *  * 48  * * | 0  1  0  0 1
..... ..... .oqo.&#xt    |  0  2  2 |  0  0  0  0  4  0 |  *  *  *  *  *  *  * 24 * | 0  0  0  1 1
..x..3..o.. .....        |  0  0  3 |  0  0  0  0  0  3 |  *  *  *  *  *  *  *  * 8 | 0  2  0  0 0
-------------------------+----------+-------------------+---------------------------+-------------
o....3x....4o....      & ♦ 12  0  0 | 24  0  0  0  0  0 |  8  6  0  0  0  0  0  0 0 | 2  *  *  * *
oxx..3xxo.. .....&#xt  & ♦  3  6  3 |  3  6  3  3  6  3 |  1  0  3  3  0  3  3  0 1 | * 16  *  * *
..... xx...4oo...&#x   & ♦  4  4  0 |  4  4  0  4  0  0 |  0  1  0  4  1  0  0  0 0 | *  * 12  * *
.xxx. ..... .oqo.&#xt    ♦  0  4  4 |  0  0  2  0  8  2 |  0  0  0  0  0  4  0  2 0 | *  *  * 12 *
..... .xox.4.oqo.&#xt    ♦  0  8  4 |  0  0  0  8 16  0 |  0  0  0  0  2  0  8  4 0 | *  *  *  * 6

ooqoqoo3oqoooqo4xoxuxox&#xt   → all heights = 1/2
(cube || pseudo q-co || pseudo (x,q)-sirco || pseudo u-cube || pseudo (x,q)-sirco || pseudo q-co || cube)

o......3o......4o......      & | 16  *  * * ♦  3  3  0  0  0  0 |  3  3  3  0  0  0  0  0 | 1  3  1  0 0
.o.....3.o.....4.o.....      & |  * 24  * * ♦  0  2  4  0  0  0 |  0  1  4  2  2  0  0  0 | 0  2  2  1 0
..o....3..o....4..o....      & |  *  * 48 * ♦  0  0  2  2  1  1 |  0  0  1  2  2  1  2  1 | 0  1  1  2 1
...o...3...o...4...o...        |  *  *  * 8 ♦  0  0  0  0  6  0 |  0  0  0  0  6  0  0  3 | 0  0  2  3 0
-------------------------------+------------+-------------------+-------------------------+-------------
....... ....... x......      & |  2  0  0 0 | 24  *  *  *  *  * |  2  1  0  0  0  0  0  0 | 1  2  0  0 0
oo.....3oo.....4oo.....&#x   & |  1  1  0 0 |  * 48  *  *  *  * |  0  1  2  0  0  0  0  0 | 0  2  1  0 0
.oo....3.oo....4.oo....&#x   & |  0  1  1 0 |  *  * 96  *  *  * |  0  0  1  1  1  0  0  0 | 0  1  1  1 0
....... ....... ..x....      & |  0  0  2 0 |  *  *  * 48  *  * |  0  0  0  1  0  1  1  0 | 0  1  0  1 1
..oo...3..oo...4..oo...&#x   & |  0  0  1 1 |  *  *  *  * 48  * |  0  0  0  0  2  0  0  1 | 0  0  1  2 0
..o.o..3..o.o..4..o.o..&#x     |  0  0  2 0 |  *  *  *  *  * 24 |  0  0  0  0  0  0  2  1 | 0  0  0  2 1
-------------------------------+------------+-------------------+-------------------------+-------------
....... o......4x......      & |  4  0  0 0 |  4  0  0  0  0  0 | 12  *  *  *  *  *  *  * | 1  1  0  0 0
....... ....... xo.....&#x   & |  2  1  0 0 |  1  2  0  0  0  0 |  * 24  *  *  *  *  *  * | 0  2  0  0 0
....... oqo.... .......&#xt  & |  1  2  1 0 |  0  2  2  0  0  0 |  *  * 48  *  *  *  *  * | 0  1  1  0 0
....... ....... .ox....&#x   & |  0  1  2 0 |  0  0  2  1  0  0 |  *  *  * 48  *  *  *  * | 0  1  0  1 0
.oqo... ....... .......&#xt  & |  0  1  2 1 |  0  0  2  0  2  0 |  *  *  *  * 48  *  *  * | 0  0  1  1 0
....... ..o....4..x....      & |  0  0  4 0 |  0  0  0  4  0  0 |  *  *  *  *  * 12  *  * | 0  1  0  0 1
....... ....... ..x.x..&#x     |  0  0  4 0 |  0  0  0  2  0  2 |  *  *  *  *  *  * 24  * | 0  0  0  1 1
..ooo..3..ooo..4..ooo..&#xt    |  0  0  2 1 |  0  0  0  0  2  1 |  *  *  *  *  *  *  * 24 | 0  0  0  2 0
-------------------------------+------------+-------------------+-------------------------+-------------
o......3o......4x......      & ♦  8  0  0 0 | 12  0  0  0  0  0 |  6  0  0  0  0  0  0  0 | 2  *  *  * *
....... oqo....4xox....&#xt  & ♦  4  4  4 0 |  4  8  8  4  0  0 |  1  4  4  4  0  1  0  0 | * 12  *  * *
ooqo...3oqoo... .......&#xt  & ♦  1  3  3 1 |  0  3  6  0  3  0 |  0  0  3  0  3  0  0  0 | *  * 16  * *
.oqoqo. ....... .oxuxo.&#xt    ♦  0  2  8 2 |  0  0  8  4  8  4 |  0  0  0  4  4  0  2  4 | *  *  * 12 *
....... ..o.o..4..x.x..&#x     ♦  0  0  8 0 |  0  0  0  8  0  4 |  0  0  0  0  0  2  4  0 | *  *  *  * 6