Acronym	prico
Name	prismatorhombated icositetrachoron, runcitruncated icositetrachoron
	©   © (toe first) (sirco first)
Cross section	©
Net	©
Circumradius	sqrt[8+3 sqrt(2)] = 3.498949
Vertex figure	©
Vertex layers	Layer Symmetry Subsymmetries   o3o4o3o o3o4o . o3o . o o . o3o . o4o3o 1 x3x4o3x x3x4o . toe first x3x . x hip first x . o3x trip first . x4o3x sirco first 2 x3x4x . w3x . o u . q3x . u4o3x 3a u3x4x . x3u . w x . Q3x . x4q3x 3b D . o3w 4 Q3x4o . w3u . q X . w3o . u4o3w 5a x3u4x . u3x . Y w . Y3o . x4w3o 5b Z . x3q 6a w3u4o . x3X . w x . Q3w . x4o3Y 6b D . o3Y 7a x3x4w . w3D . o U . x3o . u4x3q 7b X3x . Q 8a w3x4q . x3x . A u . q3Y . x4x3Q 8b . D4x3o 9a x3x4w . x3Z . x w . Y3q . x4x3Q 9b u3w . Y Z . x3q . D4x3o 10 w3u4o . x3w . A x . o3A . u4x3q 11a x3u4x . X3D . o X . w3Q . x4o3Y 11b Z3x . Q 12 Q3x4o . x3x . B x . Y3w . x4w3o 13a u3x4x . u3Z . x w . A3o . u4o3w 13b D3w . Y C . x3o 14 x3x4x . Z3u . q u . w3Y . x4q3x 15a x3x4o . opposite toe D3X . w U . x3Q . u4o3x 15b u3w . A 16a   x3U . o x . x3A . x4o3x opposite sirco 16b Z3x . Y x . A3x 17a u3x . B Z . w3Q   17b C . x3q 18 U3x . x X . A3o 19a Z3u . Y D . w3Y 19b X3x . A 20a u3Z . Y U . o3Y 20b x3X . A 21a x3U . x Z . Y3q 21b C . w3o 22a x3u . B x . x3A 22b x . A3x 23a U3x . o Z . q3Y 23b x3Z . Y C . o3w 24a X3D . w U . Y3o 24b w3u . A 25 u3Z . q D . Y3w 26a Z3u . x X . o3A 26b w3D . Y 27a x3x . B Z . Q3w 27b C . q3x 28a D3X . o x . x3A 28b x3Z . Q x . A3x 29 w3x . A U . Q3x 30a Z3x . x u . Y3w 30b w3u . Y 31a x3x . A w . o3A 31b C . o3x 32a D3w . o x . w3Y 32b x3X . Q 33 X3x . w X . Q3w 34 x3u . Y x . A3o 35a u3w . q w . q3Y 35b Z . q3x 36 u3x . w u . Y3q 37 x3w . o U . o3x 38a x3x . x opposite hip x . w3Q 38b D . Y3o 39a   w . o3Y 39b Z . q3x 40 X . o3w 41a x . x3Q 41b D . w3o 42 u . x3q 43 x . x3o opposite trip (D=3x, Q=2q, X=wq=x+w=2x+q, Y=x+2q=w+q, Z=3x+q=u+w, U=u+X=4x+q, A=Y+q=x+3q, B=A+x=2x+3q, C=5x+q)
Lace city in approx. ASCII-art	©   o4x o4u q4x o4u o4x x4x x4u w4x w4x x4u x4x x4x x4D w4u w4u x4D x4x o4x o4Z q4X o4Z o4x x4u x4D Y4x Y4x x4D x4u o4u o4Z Q4w o4Z o4u w4x w4u Y4x Y4x w4u w4x q4x q4X Q4w Q4w q4X q4x w4x w4u Y4x Y4x w4u w4x o4u o4Z Q4w o4Z o4u x4u x4D Y4x Y4x x4D x4u o4x o4Z q4X o4Z o4x x4x x4D w4u w4u x4D x4x x4x x4u w4x w4x x4u x4x o4x o4u q4x o4u o4x
	©   x3x u3x x3u x3x x3x x3w u3w # x3X w3u w3x x3x (X3x) u3x u3w D3w Z3x x3Z w3D w3u x3u X3x Z3x x3Z x3X x3u x3X D3X # u3Z X3D X3x u3x (Z3u) w3u Z3u u3Z u3w x3x x3Z u3Z U3x x3U Z3u Z3x x3x w3x w3D X3D x3U U3x D3X D3w x3w x3x x3Z u3Z U3x x3U Z3u Z3x x3x w3u Z3u u3Z u3w (Z3u) x3u x3X D3X # u3Z X3D X3x u3x X3x Z3x x3Z x3X u3x u3w D3w Z3x x3Z w3D w3u x3u (X3x) x3x x3w u3w # x3X w3u w3x x3x x3x u3x x3u x3x
	©   x3o x3q # o3w q3x o3x (w3o) x3o x3Q o3Y Y3o Q3x o3x (Y3q) x3q x3Q w3Q # q3Y Q3w Q3x q3x w3o w3Q A3o o3A Q3w o3w o3w o3Y w3Y Y3w Y3o w3o Y3o Y3q A3o o3A q3Y o3Y q3x q3Y w3Y xA3Ax Y3w Y3q x3q o3x Q3x Q3w # Y3w xA3Ax xA3Ax # A3o w3Q x3Q x3o (o3A) (w3Y) (o3A) (w3Y) o3x Q3x Q3w # Y3w xA3Ax xA3Ax # A3o w3Q x3Q x3o q3x q3Y w3Y xA3Ax Y3w Y3q x3q Y3o Y3q A3o o3A q3Y o3Y o3w o3Y w3Y Y3w Y3o w3o w3o w3Q A3o o3A Q3w o3w x3q x3Q w3Q # q3Y Q3w Q3x q3x (Y3q) x3o x3Q o3Y Y3o Q3x o3x (w3o) x3o x3q # o3w q3x o3x
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: girco hip sirco socco sroh toe trip sirpdi 24 96 0 0 24 0 0 sipti 24 48 48 24 0 24 96 prico 0 96 24 0 0 24 96 )
Dihedral angles	at {4} between hip and trip:   arccos[-sqrt(8)/3] = 160.528779° at {6} between hip and toe:   150° at {3} between sirco and trip:   150° at {4} between hip and sirco:   arccos[-sqrt(2/3)] = 144.735610° at {4} between sirco and toe:   135°
Face vector	576, 1440, 1104, 240
Confer	Grünbaumian relatives: 2prico   uniform relative: gidpith   segmentochora: toe || girco   decompositions: tico || gyro prico   srico || prico   general polytopal classes: Wythoffian polychora   partial Stott expansions
External links

As abstract polytope prico is isomorphic to paqri, thereby replacing sirco by querco.

Diminishing the prico by toagircoes at hexadecachoral positions results in the gidpith.

Note that prico can be thought of as the external blend of 1 tico + 24 cubasircoes + 96 tepes + 96 thiddips + 24 topes. This decomposition is described as the degenerate segmentoteron ox3oo4xx3xx&#x. – Alternatively it can be decomposed into 1 srico + 24 coatoes + 96 tricupes + 96 triddips + 24 sircopes according to ox3xx4oo3xx&#x.

Incidence matrix according to Dynkin symbol

x3x4o3x

. . . . | 576 |   1   2   2 |   2   2   1   2   1 |  1  2  1  1
--------+-----+-------------+---------------------+------------
x . . . |   2 | 288   *   * |   2   2   0   0   0 |  1  2  1  0
. x . . |   2 |   * 576   * |   1   0   1   1   0 |  1  1  0  1
. . . x |   2 |   *   * 576 |   0   1   0   1   1 |  0  1  1  1
--------+-----+-------------+---------------------+------------
x3x . . |   6 |   3   3   0 | 192   *   *   *   * |  1  1  0  0
x . . x |   4 |   2   0   2 |   * 288   *   *   * |  0  1  1  0
. x4o . |   4 |   0   4   0 |   *   * 144   *   * |  1  0  0  1
. x . x |   4 |   0   2   2 |   *   *   * 288   * |  0  1  0  1
. . o3x |   3 |   0   0   3 |   *   *   *   * 192 |  0  0  1  1
--------+-----+-------------+---------------------+------------
x3x4o . ♦  24 |  12  24   0 |   8   0   6   0   0 | 24  *  *  *
x3x . x ♦  12 |   6   6   6 |   2   3   0   3   0 |  * 96  *  *
x . o3x ♦   6 |   3   0   6 |   0   3   0   0   2 |  *  * 96  *
. x4o3x ♦  24 |   0  24  24 |   0   0   6  12   8 |  *  *  * 24

snubbed forms: β3x4o3x, x3β4o3x, x3x4o3β, s3s4o3x, s3s4o3x (faceting only), β3x4o3β, x3β4o3β, β3β4o3β

x3x4/3o3/2x

. .   .   . | 576 |   1   2   2 |   2   2   1   2   1 |  1  2  1  1
------------+-----+-------------+---------------------+------------
x .   .   . |   2 | 288   *   * |   2   2   0   0   0 |  1  2  1  0
. x   .   . |   2 |   * 576   * |   1   0   1   1   0 |  1  1  0  1
. .   .   x |   2 |   *   * 576 |   0   1   0   1   1 |  0  1  1  1
------------+-----+-------------+---------------------+------------
x3x   .   . |   6 |   3   3   0 | 192   *   *   *   * |  1  1  0  0
x .   .   x |   4 |   2   0   2 |   * 288   *   *   * |  0  1  1  0
. x4/3o   . |   4 |   0   4   0 |   *   * 144   *   * |  1  0  0  1
. x   .   x |   4 |   0   2   2 |   *   *   * 288   * |  0  1  0  1
. .   o3/2x |   3 |   0   0   3 |   *   *   *   * 192 |  0  0  1  1
------------+-----+-------------+---------------------+------------
x3x4/3o   . ♦  24 |  12  24   0 |   8   0   6   0   0 | 24  *  *  *
x3x   .   x ♦  12 |   6   6   6 |   2   3   0   3   0 |  * 96  *  *
x .   o3/2x ♦   6 |   3   0   6 |   0   3   0   0   2 |  *  * 96  *
. x4/3o3/2x ♦  24 |   0  24  24 |   0   0   6  12   8 |  *  *  * 24

s3s4x3x

demi( . . . . ) | 576 |   1   1   2   1 |  1   1   1   2   2  1 |  1  1  1  2
----------------+-----+-----------------+-----------------------+------------
demi( . . x . ) |   2 | 288   *   *   * |  1   0   1   1   0  0 |  1  0  1  1
demi( . . . x ) |   2 |   * 288   *   * |  1   0   0   0   2  1 |  0  1  1  2
sefa( s3s . . ) |   2 |   *   * 576   * |  0   1   0   1   1  0 |  1  1  0  1
sefa( . s4x . ) |   2 |   *   *   * 288 |  0   0   1   1   0  1 |  1  0  1  1
----------------+-----+-----------------+-----------------------+------------
demi( . . x3x ) |   6 |   3   3   0   0 | 96   *   *   *   *  * |  0  0  1  1
      s3s . .   ♦   3 |   0   0   3   0 |  * 192   *   *   *  * |  1  1  0  0
      . s4x .   ♦   4 |   2   0   0   2 |  *   * 144   *   *  * |  1  0  1  0
sefa( s3s4x . ) |   4 |   1   0   2   1 |  *   *   * 288   *  * |  1  0  0  1
sefa( s3s 2 x ) |   4 |   0   2   2   0 |  *   *   *   * 288  * |  0  1  0  1
sefa( . s4x3x ) |   6 |   0   3   0   3 |  *   *   *   *   * 96 |  0  0  1  1
----------------+-----+-----------------+-----------------------+------------
      s3s4x .   ♦  24 |  12   0  24  12 |  0   8   6  12   0  0 | 24  *  *  *
      s3s 2 x   ♦   6 |   0   3   6   0 |  0   2   0   0   3  0 |  * 96  *  *
      . s4x3x   ♦  24 |  12  12   0  12 |  4   0   6   0   0  4 |  *  * 24  *
sefa( s3s4x3x ) ♦  12 |   3   6   6   3 |  1   0   0   3   3  1 |  *  *  * 96

starting figure: x3x4x3x

wx3xx3xx4ox&#zx   → height = 0
(tegum sum of (w,x,x,x)-tico and gidpith)

o.3o.3o.4o.     | 192   * |  1   2   2   0   0   0   0 |  2  1   2   2   1  0  0  0  0  0 | 1  1  2  1  0  0
.o3.o3.o4.o     |   * 384 |  0   0   1   1   1   1   1 |  0  0   1   1   1  1  1  1  1  1 | 0  1  1  1  1  1
----------------+---------+----------------------------+----------------------------------+-----------------
.. x. .. ..     |   2   0 | 96   *   *   *   *   *   * |  2  0   2   0   0  0  0  0  0  0 | 1  0  2  1  0  0
.. .. x. ..     |   2   0 |  * 192   *   *   *   *   * |  1  1   0   1   0  0  0  0  0  0 | 1  1  1  0  0  0
oo3oo3oo4oo&#x  |   1   1 |  *   * 384   *   *   *   * |  0  0   1   1   1  0  0  0  0  0 | 0  1  1  1  0  0
.x .. .. ..     |   0   2 |  *   *   * 192   *   *   * |  0  0   0   0   0  1  1  1  0  0 | 0  1  0  0  1  1
.. .x .. ..     |   0   2 |  *   *   *   * 192   *   * |  0  0   1   0   0  1  0  0  1  1 | 0  0  1  1  1  1
.. .. .x ..     |   0   2 |  *   *   *   *   * 192   * |  0  0   0   1   0  0  1  0  1  0 | 0  1  1  0  1  0
.. .. .. .x     |   0   2 |  *   *   *   *   *   * 192 |  0  0   0   0   1  0  0  1  0  1 | 0  1  0  1  0  1
----------------+---------+----------------------------+----------------------------------+-----------------
.. x.3x. ..     |   6   0 |  3   3   0   0   0   0   0 | 64  *   *   *   *  *  *  *  *  * | 1  0  1  0  0  0
.. .. x.4o.     |   4   0 |  0   4   0   0   0   0   0 |  * 48   *   *   *  *  *  *  *  * | 1  1  0  0  0  0
.. xx .. ..&#x  |   2   2 |  1   0   2   0   1   0   0 |  *  * 192   *   *  *  *  *  *  * | 0  0  1  1  0  0
.. .. xx ..&#x  |   2   2 |  0   1   2   0   0   1   0 |  *  *   * 192   *  *  *  *  *  * | 0  1  1  0  0  0
.. .. .. ox&#x  |   1   2 |  0   0   2   0   0   0   1 |  *  *   *   * 192  *  *  *  *  * | 0  1  0  1  0  0
.x3.x .. ..     |   0   6 |  0   0   0   3   3   0   0 |  *  *   *   *   * 64  *  *  *  * | 0  0  0  0  1  1
.x .. .x ..     |   0   4 |  0   0   0   2   0   2   0 |  *  *   *   *   *  * 96  *  *  * | 0  1  0  0  1  0
.x .. .. .x     |   0   4 |  0   0   0   2   0   0   2 |  *  *   *   *   *  *  * 96  *  * | 0  1  0  0  0  1
.. .x3.x ..     |   0   6 |  0   0   0   0   3   3   0 |  *  *   *   *   *  *  *  * 64  * | 0  0  1  0  1  0
.. .x .. .x     |   0   4 |  0   0   0   0   2   0   2 |  *  *   *   *   *  *  *  *  * 96 | 0  0  0  1  0  1
----------------+---------+----------------------------+----------------------------------+-----------------
.. x.3x.4o.     ♦  24   0 | 12  24   0   0   0   0   0 |  8  6   0   0   0  0  0  0  0  0 | 8  *  *  *  *  *
wx .. xx4ox&#zx ♦   8  16 |  0   8  16   8   0   8   8 |  0  2   0   8   8  0  4  4  0  0 | * 24  *  *  *  *
.. xx3xx ..&#x  ♦   6   6 |  3   3   6   0   3   3   0 |  1  0   3   3   0  0  0  0  1  0 | *  * 64  *  *  *
.. xx .. ox&#x  ♦   2   4 |  1   0   4   0   2   0   2 |  0  0   2   0   2  0  0  0  0  1 | *  *  * 96  *  *
.x3.x3.x ..     ♦   0  24 |  0   0   0  12  12  12   0 |  0  0   0   0   0  4  6  0  4  0 | *  *  *  * 16  *
.x3.x .. .x     ♦   0  12 |  0   0   0   6   6   0   6 |  0  0   0   0   0  2  0  3  0  3 | *  *  *  *  * 32

wxx3xxx3xwx *b3xxw&#zx   → all heights = 0
(tegum sum of 3 mutually gyrated (w,x,x)-ticoes)

o..3o..3o.. *b3o..     | 192   *   * |  1  1  1   1   1  0  0  0   0  0  0  0 |  1  1  1  1  1  1  1   1  0  0  0  0  0  0  0  0 | 1  1  1  1  1 0  0 0
.o.3.o.3.o. *b3.o.     |   * 192   * |  0  0  0   1   0  1  1  1   1  0  0  0 |  0  0  0  1  1  0  0   1  1  1  1  1  1  0  0  0 | 0  1  0  1  1 1  1 0
..o3..o3..o *b3..o     |   *   * 192 |  0  0  0   0   1  0  0  0   1  1  1  1 |  0  0  0  0  0  1  1   1  0  0  0  1  1  1  1  1 | 0  0  1  1  1 0  1 1
-----------------------+-------------+----------------------------------------+--------------------------------------------------+---------------------
... x.. ...    ...     |   2   0   0 | 96  *  *   *   *  *  *  *   *  *  *  * |  1  1  0  1  0  1  0   0  0  0  0  0  0  0  0  0 | 1  1  1  0  1 0  0 0
... ... x..    ...     |   2   0   0 |  * 96  *   *   *  *  *  *   *  *  *  * |  1  0  1  0  0  0  1   0  0  0  0  0  0  0  0  0 | 1  0  1  1  0 0  0 0
... ... ...    x..     |   2   0   0 |  *  * 96   *   *  *  *  *   *  *  *  * |  0  1  1  0  1  0  0   0  0  0  0  0  0  0  0  0 | 1  1  0  1  0 0  0 0
oo.3oo.3oo. *b3oo.&#x  |   1   1   0 |  *  *  * 192   *  *  *  *   *  *  *  * |  0  0  0  1  1  0  0   1  0  0  0  0  0  0  0  0 | 0  1  0  1  1 0  0 0
o.o3o.o3o.o3*b3o.o&#x  |   1   0   1 |  *  *  *   * 192  *  *  *   *  *  *  * |  0  0  0  0  0  1  1   1  0  0  0  0  0  0  0  0 | 0  0  1  1  1 0  0 0
.x. ... ...    ...     |   0   2   0 |  *  *  *   *   * 96  *  *   *  *  *  * |  0  0  0  0  0  0  0   0  1  1  0  1  0  0  0  0 | 0  0  0  1  0 1  1 0
... .x. ...    ...     |   0   2   0 |  *  *  *   *   *  * 96  *   *  *  *  * |  0  0  0  1  0  0  0   0  1  0  1  0  1  0  0  0 | 0  1  0  0  1 1  1 0
... ... ...    .x.     |   0   2   0 |  *  *  *   *   *  *  * 96   *  *  *  * |  0  0  0  0  1  0  0   0  0  1  1  0  0  0  0  0 | 0  1  0  1  0 1  0 0
.oo3.oo3.oo *b3.oo&#x  |   0   1   1 |  *  *  *   *   *  *  *  * 192  *  *  * |  0  0  0  0  0  0  0   1  0  0  0  1  1  0  0  0 | 0  0  0  1  1 0  1 0
..x ... ...    ...     |   0   0   2 |  *  *  *   *   *  *  *  *   * 96  *  * |  0  0  0  0  0  0  0   0  0  0  0  1  0  1  1  0 | 0  0  0  1  0 0  1 1
... ..x ...    ...     |   0   0   2 |  *  *  *   *   *  *  *  *   *  * 96  * |  0  0  0  0  0  1  0   0  0  0  0  0  1  1  0  1 | 0  0  1  0  1 0  1 1
... ... ..x    ...     |   0   0   2 |  *  *  *   *   *  *  *  *   *  *  * 96 |  0  0  0  0  0  0  1   0  0  0  0  0  0  0  1  1 | 0  0  1  1  0 0  0 1
-----------------------+-------------+----------------------------------------+--------------------------------------------------+---------------------
... x..3x..    ...     |   6   0   0 |  3  3  0   0   0  0  0  0   0  0  0  0 | 32  *  *  *  *  *  *   *  *  *  *  *  *  *  *  * | 1  0  1  0  0 0  0 0
... x.. ... *b3x..     |   6   0   0 |  3  0  3   0   0  0  0  0   0  0  0  0 |  * 32  *  *  *  *  *   *  *  *  *  *  *  *  *  * | 1  1  0  0  0 0  0 0
... ... x..    x..     |   4   0   0 |  0  2  2   0   0  0  0  0   0  0  0  0 |  *  * 48  *  *  *  *   *  *  *  *  *  *  *  *  * | 1  0  0  1  0 0  0 0
... xx. ...    ...&#x  |   2   2   0 |  1  0  0   2   0  0  1  0   0  0  0  0 |  *  *  * 96  *  *  *   *  *  *  *  *  *  *  *  * | 0  1  0  0  1 0  0 0
... ... ...    xx.&#x  |   2   2   0 |  0  0  1   2   0  0  0  1   0  0  0  0 |  *  *  *  * 96  *  *   *  *  *  *  *  *  *  *  * | 0  1  0  1  0 0  0 0
... x.x ...    ...&#x  |   2   0   2 |  1  0  0   0   2  0  0  0   0  0  1  0 |  *  *  *  *  * 96  *   *  *  *  *  *  *  *  *  * | 0  0  1  0  1 0  0 0
... ... x.x    ...&#x  |   2   0   2 |  0  1  0   0   2  0  0  0   0  0  0  1 |  *  *  *  *  *  * 96   *  *  *  *  *  *  *  *  * | 0  0  1  1  0 0  0 0
ooo3ooo3ooo *b3ooo&#x  |   1   1   1 |  0  0  0   1   1  0  0  0   1  0  0  0 |  *  *  *  *  *  *  * 192  *  *  *  *  *  *  *  * | 0  0  0  1  1 0  0 0
.x.3.x. ...    ...     |   0   6   0 |  0  0  0   0   0  3  3  0   0  0  0  0 |  *  *  *  *  *  *  *   * 32  *  *  *  *  *  *  * | 0  0  0  0  0 1  1 0
.x. ... ...    .x.     |   0   4   0 |  0  0  0   0   0  2  0  2   0  0  0  0 |  *  *  *  *  *  *  *   *  * 48  *  *  *  *  *  * | 0  0  0  1  0 1  0 0
... .x. ... *b3.x.     |   0   6   0 |  0  0  0   0   0  0  3  3   0  0  0  0 |  *  *  *  *  *  *  *   *  *  * 32  *  *  *  *  * | 0  1  0  0  0 1  0 0
.xx ... ...    ...&#x  |   0   2   2 |  0  0  0   0   0  1  0  0   2  1  0  0 |  *  *  *  *  *  *  *   *  *  *  * 96  *  *  *  * | 0  0  0  1  0 0  1 0
... .xx ...    ...&#x  |   0   2   2 |  0  0  0   0   0  0  1  0   2  0  1  0 |  *  *  *  *  *  *  *   *  *  *  *  * 96  *  *  * | 0  0  0  0  1 0  1 0
..x3..x ...    ...     |   0   0   6 |  0  0  0   0   0  0  0  0   0  3  3  0 |  *  *  *  *  *  *  *   *  *  *  *  *  * 32  *  * | 0  0  0  0  0 0  1 1
..x ... ..x    ...     |   0   0   4 |  0  0  0   0   0  0  0  0   0  2  0  2 |  *  *  *  *  *  *  *   *  *  *  *  *  *  * 48  * | 0  0  0  1  0 0  0 1
... ..x3..x    ...     |   0   0   6 |  0  0  0   0   0  0  0  0   0  0  3  3 |  *  *  *  *  *  *  *   *  *  *  *  *  *  *  * 32 | 0  0  1  0  0 0  0 1
-----------------------+-------------+----------------------------------------+--------------------------------------------------+---------------------
... x..3x.. *b3x..     ♦  24   0   0 | 12 12 12   0   0  0  0  0   0  0  0  0 |  4  4  6  0  0  0  0   0  0  0  0  0  0  0  0  0 | 8  *  *  *  * *  * *
... xx. ... *b3xx.&#x  ♦   6   6   0 |  3  0  3   6   0  0  3  3   0  0  0  0 |  0  1  0  3  3  0  0   0  0  0  1  0  0  0  0  0 | * 32  *  *  * *  * *
... x.x3x.x    ...&#x  ♦   6   0   6 |  3  3  0   0   6  0  0  0   0  0  3  3 |  1  0  0  0  0  3  3   0  0  0  0  0  0  0  0  1 | *  * 32  *  * *  * *
wxx ... xwx    xxw&#zx ♦   8   8   8 |  0  4  4   8   8  4  0  4   8  4  0  4 |  0  0  2  0  4  0  4   8  0  2  0  4  0  0  2  0 | *  *  * 24  * *  * *
... xxx ...    ...&#x  ♦   2   2   2 |  1  0  0   2   2  0  1  0   2  0  1  0 |  0  0  0  1  0  1  0   2  0  0  0  0  1  0  0  0 | *  *  *  * 96 *  * *
.x.3.x. ... *b3.x.     ♦   0  24   0 |  0  0  0   0   0 12 12 12   0  0  0  0 |  0  0  0  0  0  0  0   0  4  6  4  0  0  0  0  0 | *  *  *  *  * 8  * *
.xx3.xx ...    ...&#x  ♦   0   6   6 |  0  0  0   0   0  3  3  0   6  3  3  0 |  0  0  0  0  0  0  0   0  1  0  0  3  3  1  0  0 | *  *  *  *  * * 32 *
..x3..x3..x    ...     ♦   0   0  24 |  0  0  0   0   0  0  0  0   0 12 12 12 |  0  0  0  0  0  0  0   0  0  0  0  0  0  4  6  4 | *  *  *  *  * *  * 8

oqQ3xxx3qoo4xux&#zxt   → heights = 0, Q=2q = 2.828427
(tegum sum of (x,q,x)-grit, (q,x,u)-prit, and (Q,x,x)-prit)

o..3o..3o..4o..      | 192   *   * |   2  1   2   0   0   0   0 |  1  2  1   2   2  0   0  0  0  0 |  1  1  1  2  0 0
.o.3.o.3.o.4.o.      |   * 192   * |   0  0   2   2   1   0   0 |  0  0  1   2   2  1   2  0  0  0 |  0  1  1  2  1 0
..o3..o3..o4..o      |   *   * 192 |   0  0   0   0   1   2   2 |  0  0  0   0   2  0   2  1  2  1 |  0  0  1  2  1 1
---------------------+-------------+----------------------------+----------------------------------+-----------------
... x.. ... ...      |   2   0   0 | 192  *   *   *   *   *   * |  1  1  0   1   0  0   0  0  0  0 |  1  1  0  1  0 0
... ... ... x..      |   2   0   0 |   * 96   *   *   *   *   * |  0  2  0   0   2  0   0  0  0  0 |  1  0  1  2  0 0
oo.3oo.3oo.4oo.&#x   |   1   1   0 |   *  * 384   *   *   *   * |  0  0  1   1   1  0   0  0  0  0 |  0  1  1  1  0 0
... .x. ... ...      |   0   2   0 |   *  *   * 192   *   *   * |  0  0  0   1   0  1   1  0  0  0 |  0  1  0  1  1 0
.oo3.oo3.oo4.oo&#x   |   0   1   1 |   *  *   *   * 192   *   * |  0  0  0   0   2  0   2  0  0  0 |  0  0  1  2  1 0
... ..x ... ...      |   0   0   2 |   *  *   *   *   * 192   * |  0  0  0   0   0  0   1  1  1  0 |  0  0  0  1  1 1
... ... ... ..x      |   0   0   2 |   *  *   *   *   *   * 192 |  0  0  0   0   1  0   0  0  1  1 |  0  0  1  1  0 1
---------------------+-------------+----------------------------+----------------------------------+-----------------
o..3x.. ... ...      |   3   0   0 |   3  0   0   0   0   0   0 | 64  *  *   *   *  *   *  *  *  * |  1  1  0  0  0 0
... x.. ... x..      |   4   0   0 |   2  2   0   0   0   0   0 |  * 96  *   *   *  *   *  *  *  * |  1  0  0  1  0 0
oq. ... qo. ...&#zx  |   2   2   0 |   0  0   4   0   0   0   0 |  *  * 96   *   *  *   *  *  *  * |  0  1  1  0  0 0
... xx. ... ...&#x   |   2   2   0 |   1  0   2   1   0   0   0 |  *  *  * 192   *  *   *  *  *  * |  0  1  0  1  0 0
... ... ... xux&#xt  |   2   2   2 |   0  1   2   0   2   0   1 |  *  *  *   * 192  *   *  *  *  * |  0  0  1  1  0 0
... .x.3.o. ...      |   0   3   0 |   0  0   0   3   0   0   0 |  *  *  *   *   * 64   *  *  *  * |  0  1  0  0  1 0
... .xx ... ...&#x   |   0   2   2 |   0  0   0   1   2   1   0 |  *  *  *   *   *  * 192  *  *  * |  0  0  0  1  1 0
... ..x3..o ...      |   0   0   3 |   0  0   0   0   0   3   0 |  *  *  *   *   *  *   * 64  *  * |  0  0  0  0  1 1
... ..x ... ..x      |   0   0   4 |   0  0   0   0   0   2   2 |  *  *  *   *   *  *   *  * 96  * |  0  0  0  1  0 1
... ... ..o4..x      |   0   0   4 |   0  0   0   0   0   0   4 |  *  *  *   *   *  *   *  *  * 48 |  0  0  1  0  0 1
---------------------+-------------+----------------------------+----------------------------------+-----------------
o..3x.. ... x..      ♦   6   0   0 |   6  3   0   0   0   0   0 |  2  3  0   0   0  0   0  0  0  0 | 32  *  *  *  * *
oq.3xx.3qo. ...&#zx  ♦  12  12   0 |  12  0  24  12   0   0   0 |  4  0  6  12   0  4   0  0  0  0 |  * 16  *  *  * *
oqQ ... qoo4xux&#zxt ♦   8   8   8 |   0  4  16   0   8   0   8 |  0  0  4   0   8  0   0  0  0  2 |  *  * 24  *  * *
... xxx ... xux&#xt  ♦   4   4   4 |   2  2   4   2   4   2   2 |  0  1  0   2   2  0   2  0  1  0 |  *  *  * 96  * *
... .xx3.oo ...&#x   ♦   0   3   3 |   0  0   0   3   3   3   0 |  0  0  0   0   0  1   3  1  0  0 |  *  *  *  * 64 *
... ..x3..o4..x      ♦   0   0  24 |   0  0   0   0   0  24  24 |  0  0  0   0   0  0   0  8 12  6 |  *  *  *  *  * 8