Acronym prip
Name prismatorhombated pentachoron,
runcitruncated pentachoron

Cross sections
Vertex figure
Vertex layers
 Layer Symmetry Subsymmetries o3o3o3o o3o3o . o3o . o o . o3o . o3o3o 1 x3x3o3x x3x3o .tut first x3x . xhip first x . o3xtrip first . x3o3xco first 2a x3x3x . u3o . u u . x3x . u3o3x 2b x3u . o 3a u3o3x . u3x . x x . u3x . x3x3x 3b x3o . d d . x3o 4a x3o3x .opposite co x3x . u u . u3o . x3x3oopposite tut 4b o . x3u 5 o3x . xopposite trip x . x3xopposite hip
(d=3x=hh=x+u)
Lace city
in approx. ASCII-art
+----- x o3x (trip)
/    +-- u x3x ((u,x)-hip)
/    /

o3x  x3x  x3o  		-- x3o3x (co)

o3x       u3x  u3o 		-- u3o3x ((u,x)-co)

x3x  u3x  x3u  x3x		-- x3x3x (toe)

x3o  u3o  x3x    		-- x3x3o (tut)

/
+---------- x x3x (hip)
General of army (is itself convex)
Colonel of regiment (is itself locally convex – other uniform polychoral members:
 by cells: cho co hip oho toe trip tut ripdip 5 0 10 0 5 0 0 prip 0 5 10 0 0 10 5 pittip 0 0 0 5 5 10 5
)
Dihedral angles
• at {4} between hip and trip:   arccos(-2/3) = 131.810315°
• at {3} between co and trip:   arccos(-sqrt[3/8]) = 127.761244°
• at {6} between hip and tut:   arccos(-sqrt[3/8]) = 127.761244°
• at {4} between co and hip:   arccos(-sqrt[1/6]) = 114.094843°
• at {3} between co and tut:   arccos(-1/4) = 104.477512°
Confer
Grünbaumian relatives:
2prip
segmentochora:
tutatoe
related CRFs:
coatotum   gyprip
decompositions:
rap || prip
general polytopal classes:
lace simplices
External

Note that prip can be thought of as the external blend of 1 rap + 5 octatuts + 10 tripufs + 10 trippies + 5 tetacoes. This decomposition is described as the degenerate segmentoteron ox3xx3oo3ox&#x. – Alternatively, although subdimensioanlly degenerate, prip could also be decomposed into 1 tip + 5 tetaltut + 10 hippyps + 10 tricufs + 5 coatuts, as described by ox3ox3xo3xx&#x.

Incidence matrix according to Dynkin symbol

x3x3o3x

. . . . | 60 |  1  2  2 |  2  2  1  2  1 | 1  2  1 1
--------+----+----------+----------------+----------
x . . . |  2 | 30  *  * |  2  2  0  0  0 | 1  2  1 0
. x . . |  2 |  * 60  * |  1  0  1  1  0 | 1  1  0 1
. . . x |  2 |  *  * 60 |  0  1  0  1  1 | 0  1  1 1
--------+----+----------+----------------+----------
x3x . . |  6 |  3  3  0 | 20  *  *  *  * | 1  1  0 0
x . . x |  4 |  2  0  2 |  * 30  *  *  * | 0  1  1 0
. x3o . |  3 |  0  3  0 |  *  * 20  *  * | 1  0  0 1
. x . x |  4 |  0  2  2 |  *  *  * 30  * | 0  1  0 1
. . o3x |  3 |  0  0  3 |  *  *  *  * 20 | 0  0  1 1
--------+----+----------+----------------+----------
x3x3o .  12 |  6 12  0 |  4  0  4  0  0 | 5  *  * *
x3x . x  12 |  6  6  6 |  2  3  0  3  0 | * 10  * *
x . o3x   6 |  3  0  6 |  0  3  0  0  2 | *  * 10 *
. x3o3x  12 |  0 12 12 |  0  0  4  6  4 | *  *  * 5

snubbed forms: β3x3o3x, x3β3o3x, x3x3o3β, β3β3o3x, β3x3o3β, x3β3o3β, β3β3o3β

x3x3/2o3/2x

. .   .   . | 60 |  1  2  2 |  2  2  1  2  1 | 1  2  1 1
------------+----+----------+----------------+----------
x .   .   . |  2 | 30  *  * |  2  2  0  0  0 | 1  2  1 0
. x   .   . |  2 |  * 60  * |  1  0  1  1  0 | 1  1  0 1
. .   .   x |  2 |  *  * 60 |  0  1  0  1  1 | 0  1  1 1
------------+----+----------+----------------+----------
x3x   .   . |  6 |  3  3  0 | 20  *  *  *  * | 1  1  0 0
x .   .   x |  4 |  2  0  2 |  * 30  *  *  * | 0  1  1 0
. x3/2o   . |  3 |  0  3  0 |  *  * 20  *  * | 1  0  0 1
. x   .   x |  4 |  0  2  2 |  *  *  * 30  * | 0  1  0 1
. .   o3/2x |  3 |  0  0  3 |  *  *  *  * 20 | 0  0  1 1
------------+----+----------+----------------+----------
x3x3/2o   .  12 |  6 12  0 |  4  0  4  0  0 | 5  *  * *
x3x   .   x  12 |  6  6  6 |  2  3  0  3  0 | * 10  * *
x .   o3/2x   6 |  3  0  6 |  0  3  0  0  2 | *  * 10 *
. x3/2o3/2x  12 |  0 12 12 |  0  0  4  6  4 | *  *  * 5

xxux3xxoo3oxxx&#xt   → all heights = sqrt(5/8) = 0.790569
(tut || pseudo toe || pseudo (u,x)-co || co)

o...3o...3o...     | 12  *  *  * | 1  2  2  0  0  0  0  0  0  0  0 | 2 1  2  2  1 0 0  0  0  0 0  0 0 0 0 | 1 2 1 1 0 0 0 0
.o..3.o..3.o..     |  * 24  *  * | 0  0  1  1  1  1  1  0  0  0  0 | 0 0  1  1  1 1 1  1  1  1 0  0 0 0 0 | 0 1 1 1 1 1 0 0
..o.3..o.3..o.     |  *  * 12  * | 0  0  0  0  0  0  2  2  1  0  0 | 0 0  0  0  0 0 0  1  2  2 1  2 0 0 0 | 0 0 0 1 1 2 1 0
...o3...o3...o     |  *  *  * 12 | 0  0  0  0  0  0  0  0  1  2  2 | 0 0  0  0  0 0 0  0  0  2 0  2 1 2 1 | 0 0 0 0 1 2 1 1
-------------------+-------------+---------------------------------+--------------------------------------+----------------
x... .... ....     |  2  0  0  0 | 6  *  *  *  *  *  *  *  *  *  * | 2 0  2  0  0 0 0  0  0  0 0  0 0 0 0 | 1 2 1 0 0 0 0 0
.... x... ....     |  2  0  0  0 | * 12  *  *  *  *  *  *  *  *  * | 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..&#x  |  1  1  0  0 | *  * 24  *  *  *  *  *  *  *  * | 0 0  1  1  1 0 0  0  0  0 0  0 0 0 0 | 0 1 1 1 0 0 0 0
.x.. .... ....     |  0  2  0  0 | *  *  * 12  *  *  *  *  *  *  * | 0 0  1  0  0 1 1  0  0  1 0  0 0 0 0 | 0 1 1 0 1 1 0 0
.... .x.. ....     |  0  2  0  0 | *  *  *  * 12  *  *  *  *  *  * | 0 0  0  1  0 1 0  1  0  0 0  0 0 0 0 | 0 1 0 1 1 0 0 0
.... .... .x..     |  0  2  0  0 | *  *  *  *  * 12  *  *  *  *  * | 0 0  0  0  1 0 1  0  1  0 0  0 0 0 0 | 0 0 1 1 0 1 0 0
.oo.3.oo.3.oo.&#x  |  0  1  1  0 | *  *  *  *  *  * 24  *  *  *  * | 0 0  0  0  0 0 0  1  1  1 0  0 0 0 0 | 0 0 0 1 1 1 0 0
.... .... ..x.     |  0  0  2  0 | *  *  *  *  *  *  * 12  *  *  * | 0 0  0  0  0 0 0  0  1  0 1  1 0 0 0 | 0 0 0 1 0 1 1 0
..oo3..oo3..oo&#x  |  0  0  1  1 | *  *  *  *  *  *  *  * 12  *  * | 0 0  0  0  0 0 0  0  0  2 0  2 0 0 0 | 0 0 0 0 1 2 1 0
...x .... ....     |  0  0  0  2 | *  *  *  *  *  *  *  *  * 12  * | 0 0  0  0  0 0 0  0  0  1 0  0 1 1 0 | 0 0 0 0 1 1 0 1
.... .... ...x     |  0  0  0  2 | *  *  *  *  *  *  *  *  *  * 12 | 0 0  0  0  0 0 0  0  0  0 0  1 0 1 1 | 0 0 0 0 0 1 1 1
-------------------+-------------+---------------------------------+--------------------------------------+----------------
x...3x... ....     |  6  0  0  0 | 3  3  0  0  0  0  0  0  0  0  0 | 4 *  *  *  * * *  *  *  * *  * * * * | 1 1 0 0 0 0 0 0
.... x...3o...     |  3  0  0  0 | 0  3  0  0  0  0  0  0  0  0  0 | * 4  *  *  * * *  *  *  * *  * * * * | 1 0 0 1 0 0 0 0
xx.. .... ....&#x  |  2  2  0  0 | 1  0  2  1  0  0  0  0  0  0  0 | * * 12  *  * * *  *  *  * *  * * * * | 0 1 1 0 0 0 0 0
.... xx.. ....&#x  |  2  2  0  0 | 0  1  2  0  1  0  0  0  0  0  0 | * *  * 12  * * *  *  *  * *  * * * * | 0 1 0 1 0 0 0 0
.... .... ox..&#x  |  1  2  0  0 | 0  0  2  0  0  1  0  0  0  0  0 | * *  *  * 12 * *  *  *  * *  * * * * | 0 0 1 1 0 0 0 0
.x..3.x.. ....     |  0  6  0  0 | 0  0  0  3  3  0  0  0  0  0  0 | * *  *  *  * 4 *  *  *  * *  * * * * | 0 1 0 0 1 0 0 0
.x.. .... .x..     |  0  4  0  0 | 0  0  0  2  0  2  0  0  0  0  0 | * *  *  *  * * 6  *  *  * *  * * * * | 0 0 1 0 0 1 0 0
.... .xo. ....&#x  |  0  2  1  0 | 0  0  0  0  1  0  2  0  0  0  0 | * *  *  *  * * * 12  *  * *  * * * * | 0 0 0 1 1 0 0 0
.... .... .xx.&#x  |  0  2  2  0 | 0  0  0  0  0  1  2  1  0  0  0 | * *  *  *  * * *  * 12  * *  * * * * | 0 0 0 1 0 1 0 0
.xux .... ....&#xt |  0  2  2  2 | 0  0  0  1  0  0  2  0  2  1  0 | * *  *  *  * * *  *  * 12 *  * * * * | 0 0 0 0 1 1 0 0
.... ..o.3..x.     |  0  0  3  0 | 0  0  0  0  0  0  0  3  0  0  0 | * *  *  *  * * *  *  *  * 4  * * * * | 0 0 0 1 0 0 1 0
.... .... ..xx&#x  |  0  0  2  2 | 0  0  0  0  0  0  0  1  2  0  1 | * *  *  *  * * *  *  *  * * 12 * * * | 0 0 0 0 0 1 1 0
...x3...o ....     |  0  0  0  3 | 0  0  0  0  0  0  0  0  0  3  0 | * *  *  *  * * *  *  *  * *  * 4 * * | 0 0 0 0 1 0 0 1
...x .... ...x     |  0  0  0  4 | 0  0  0  0  0  0  0  0  0  2  2 | * *  *  *  * * *  *  *  * *  * * 6 * | 0 0 0 0 0 1 0 1
.... ...o3...x     |  0  0  0  3 | 0  0  0  0  0  0  0  0  0  0  3 | * *  *  *  * * *  *  *  * *  * * * 4 | 0 0 0 0 0 0 1 1
-------------------+-------------+---------------------------------+--------------------------------------+----------------
x...3x...3o...      12  0  0  0 | 6 12  0  0  0  0  0  0  0  0  0 | 4 4  0  0  0 0 0  0  0  0 0  0 0 0 0 | 1 * * * * * * *
xx..3xx.. ....&#x    6  6  0  0 | 3  3  6  3  3  0  0  0  0  0  0 | 1 0  3  3  0 1 0  0  0  0 0  0 0 0 0 | * 4 * * * * * *
xx.. .... ox..&#x    2  4  0  0 | 1  0  4  2  0  2  0  0  0  0  0 | 0 0  2  0  2 0 1  0  0  0 0  0 0 0 0 | * * 6 * * * * *
.... xxo.3oxx.&#xt   3  6  3  0 | 0  3  6  0  3  3  6  3  0  0  0 | 0 1  0  3  3 0 0  3  3  0 1  0 0 0 0 | * * * 4 * * * *
.xux3.xoo ....&#xt   0  6  3  3 | 0  0  0  3  3  0  6  0  3  3  0 | 0 0  0  0  0 1 0  3  0  3 0  0 1 0 0 | * * * * 4 * * *
.xux .... .xxx&#xt   0  4  4  4 | 0  0  0  2  0  2  4  2  4  2  2 | 0 0  0  0  0 0 1  0  2  2 0  2 0 1 0 | * * * * * 6 * *
.... ..oo3..xx&#x    0  0  3  3 | 0  0  0  0  0  0  0  3  3  0  3 | 0 0  0  0  0 0 0  0  0  0 1  3 0 0 1 | * * * * * * 4 *
...x3...o3...x       0  0  0 12 | 0  0  0  0  0  0  0  0  0 12 12 | 0 0  0  0  0 0 0  0  0  0 0  0 4 6 4 | * * * * * * * 1

x(uo)(ox)xx-3-x(xu)(xu)xo  x(ou)(dx)ux-&#xt - all existing heights = sqrt(5/12) = 0.645497, d = 3x = u+x

o(..)(..)..-3-o(..)(..)..  o(..)(..)..      | 12 * * *  *  * * | 1 1 1  1  1 0  0 0  0 0  0 0 0  0 0 0  0 0 0 | 1 1 1 1 1 1 1  1 0 0  0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 0 0 0 0 0
.(o.)(..)..-3-.(o.)(..)..  .(o.)(..)..      |  * 6 * *  *  * * | 0 0 0  2  0 1  2 0  0 0  0 0 0  0 0 0  0 0 0 | 0 0 0 2 1 0 0  2 2 1  0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 1 1 0 1 0 0 0 0
.(.o)(..)..-3-.(.o)(..)..  .(.o)(..)..      |  * * 6 *  *  * * | 0 0 0  0  2 0  0 1  2 0  0 0 0  0 0 0  0 0 0 | 0 0 0 0 0 1 2  2 0 0  2 1 0 0 0 0 0 0 0 0 0 0 | 0 2 1 0 1 0 1 0 0 0
.(..)(o.)..-3-.(..)(o.)..  .(..)(o.)..      |  * * * 6  *  * * | 0 0 0  0  0 0  0 1  0 2  2 0 0  0 0 0  0 0 0 | 0 0 0 0 0 0 2  0 0 0  2 0 1 1 2 0 0 0 0 0 0 0 | 0 2 0 0 1 0 1 1 0 0
.(..)(.o)..-3-.(..)(.o)..  .(..)(.o)..      |  * * * * 12  * * | 0 0 0  0  0 0  1 0  1 0  0 1 1  1 0 0  0 0 0 | 0 0 0 0 0 0 0  1 1 1  1 1 0 0 0 1 1 1 0 0 0 0 | 0 1 1 0 0 0 1 0 1 0
.(..)(..)o.-3-.(..)(..)o.  .(..)(..)o.      |  * * * *  * 12 * | 0 0 0  0  0 0  0 0  0 0  1 0 0  1 1 1  1 0 0 | 0 0 0 0 0 0 0  0 1 0  1 0 0 1 1 0 1 1 1 1 0 0 | 0 1 0 0 0 1 1 1 1 0
.(..)(..).o-3-.(..)(..).o  .(..)(..).o      |  * * * *  *  * 6 | 0 0 0  0  0 0  0 0  0 0  0 0 0  0 0 0  2 2 1 | 0 0 0 0 0 0 0  0 0 0  0 0 0 0 0 0 0 2 2 1 1 2 | 0 0 0 0 0 1 0 1 2 1
--------------------------------------------+------------------+----------------------------------------------+-----------------------------------------------+--------------------
x(..)(..)..   .(..)(..)..  .(..)(..)..      |  2 0 0 0  0  0 0 | 6 * *  *  * *  * *  * *  * * *  * * *  * * * | 1 1 0 0 0 1 0  0 0 0  0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 0 1 0 0 0 0 0
.(..)(..)..   x(..)(..)..  .(..)(..)..      |  2 0 0 0  0  0 0 | * 6 *  *  * *  * *  * *  * * *  * * *  * * * | 1 0 1 1 0 0 1  0 0 0  0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 1 0 0 0 0 0
.(..)(..)..   .(..)(..)..  x(..)(..)..      |  2 0 0 0  0  0 0 | * * 6  *  * *  * *  * *  * * *  * * *  * * * | 0 1 1 0 1 0 0  0 0 0  0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0 0 0 0
o(o.)(..)..-3-o(o.)(..)..  o(o.)(..)..-&#x  |  1 1 0 0  0  0 0 | * * * 12  * *  * *  * *  * * *  * * *  * * * | 0 0 0 1 1 0 0  1 0 0  0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 0 0
o(.o)(..)..-3-o(.o)(..)..  o(.o)(..)..-&#x  |  1 0 1 0  0  0 0 | * * *  * 12 *  * *  * *  * * *  * * *  * * * | 0 0 0 0 0 1 1  1 0 0  0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 1 0 0 0 0 0
.(..)(..)..   .(x.)(..)..  .(..)(..)..      |  0 2 0 0  0  0 0 | * * *  *  * 3  * *  * *  * * *  * * *  * * * | 0 0 0 2 0 0 0  0 2 0  0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 0 1 0 1 0 0 0 0
.(o.)(.o)..-3-.(o.)(.o)..  .(o.)(.o)..-&#x  |  0 1 0 0  1  0 0 | * * *  *  * * 12 *  * *  * * *  * * *  * * * | 0 0 0 0 0 0 0  1 1 1  0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 0 1 0 0 0 0
.(.o)(o.)..-3-.(.o)(o.)..  .(.o)(o.)..-&#x  |  0 0 1 1  0  0 0 | * * *  *  * *  * 6  * *  * * *  * * *  * * * | 0 0 0 0 0 0 2  0 0 0  2 0 0 0 0 0 0 0 0 0 0 0 | 0 2 0 0 1 0 1 0 0 0
.(.o)(.o)..-3-.(.o)(.o)..  .(.o)(.o)..-&#x  |  0 0 1 0  1  0 0 | * * *  *  * *  * * 12 *  * * *  * * *  * * * | 0 0 0 0 0 0 0  1 0 0  1 1 0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 0 0 1 0 0 0
.(..)(..)..   .(..)(x.)..  .(..)(..)..      |  0 0 0 2  0  0 0 | * * *  *  * *  * *  * 6  * * *  * * *  * * * | 0 0 0 0 0 0 1  0 0 0  0 0 1 0 1 0 0 0 0 0 0 0 | 0 1 0 0 1 0 0 1 0 0
.(..)(o.)o.-3-.(..)(o.)o.  .(..)(o.)o.-&#x  |  0 0 0 1  0  1 0 | * * *  *  * *  * *  * * 12 * *  * * *  * * * | 0 0 0 0 0 0 0  0 0 0  1 0 0 1 1 0 0 0 0 0 0 0 | 0 1 0 0 0 0 1 1 0 0
.(..)(.x)..   .(..)(..)..  .(..)(..)..      |  0 0 0 0  2  0 0 | * * *  *  * *  * *  * *  * 6 *  * * *  * * * | 0 0 0 0 0 0 0  0 0 0  0 1 0 0 0 1 1 0 0 0 0 0 | 0 0 1 0 0 0 1 0 1 0
.(..)(..)..   .(..)(..)..  .(..)(.x)..      |  0 0 0 0  2  0 0 | * * *  *  * *  * *  * *  * * 6  * * *  * * * | 0 0 0 0 0 0 0  0 0 1  0 0 0 0 0 1 0 1 0 0 0 0 | 0 0 1 0 0 1 0 0 1 0
.(..)(.o)o.-3-.(..)(.o)o.  .(..)(.o)o.-&#x  |  0 0 0 0  1  1 0 | * * *  *  * *  * *  * *  * * * 12 * *  * * * | 0 0 0 0 0 0 0  0 1 0  1 0 0 0 0 0 1 1 0 0 0 0 | 0 1 0 0 0 1 1 0 1 0
.(..)(..)x.   .(..)(..)..  .(..)(..)..      |  0 0 0 0  0  2 0 | * * *  *  * *  * *  * *  * * *  * 6 *  * * * | 0 0 0 0 0 0 0  0 0 0  0 0 0 1 0 0 1 0 1 0 0 0 | 0 0 0 0 0 0 1 1 1 0
.(..)(..)..   .(..)(..)x.  .(..)(..)..      |  0 0 0 0  0  2 0 | * * *  *  * *  * *  * *  * * *  * * 6  * * * | 0 0 0 0 0 0 0  0 1 0  0 0 0 0 1 0 0 0 0 1 0 0 | 0 1 0 0 0 1 0 1 0 0
.(..)(..)oo-3-.(..)(..)oo  .(..)(..)oo-&#x  |  0 0 0 0  0  1 1 | * * *  *  * *  * *  * *  * * *  * * * 12 * * | 0 0 0 0 0 0 0  0 0 0  0 0 0 0 0 0 0 1 1 1 0 0 | 0 0 0 0 0 1 0 1 1 0
.(..)(..).x   .(..)(..)..  .(..)(..)..      |  0 0 0 0  0  0 2 | * * *  *  * *  * *  * *  * * *  * * *  * 6 * | 0 0 0 0 0 0 0  0 0 0  0 0 0 0 0 0 0 0 1 0 1 1 | 0 0 0 0 0 0 0 1 1 1
.(..)(..)..   .(..)(..)..  .(..)(..).x      |  0 0 0 0  0  0 2 | * * *  *  * *  * *  * *  * * *  * * *  * * 3 | 0 0 0 0 0 0 0  0 0 0  0 0 0 0 0 0 0 2 0 0 0 2 | 0 0 0 0 0 1 0 0 2 1
--------------------------------------------+------------------+----------------------------------------------+-----------------------------------------------+--------------------
x(..)(..)..-3-x(..)(..)..  .(..)(..)..      |  6 0 0 0  0  0 0 | 3 3 0  0  0 0  0 0  0 0  0 0 0  0 0 0  0 0 0 | 2 * * * * * *  * * *  * * * * * * * * * * * * | 1 0 0 0 1 0 0 0 0 0
x(..)(..)..   .(..)(..)..  x(..)(..)..      |  4 0 0 0  0  0 0 | 2 0 2  0  0 0  0 0  0 0  0 0 0  0 0 0  0 0 0 | * 3 * * * * *  * * *  * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0
.(..)(..)..   x(..)(..)..  x(..)(..)..      |  4 0 0 0  0  0 0 | 0 2 2  0  0 0  0 0  0 0  0 0 0  0 0 0  0 0 0 | * * 3 * * * *  * * *  * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 0
.(..)(..)..   x(x.)(..)..  .(..)(..)..-&#x  |  2 2 0 0  0  0 0 | 0 1 0  2  0 1  0 0  0 0  0 0 0  0 0 0  0 0 0 | * * * 6 * * *  * * *  * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0
.(..)(..)..   .(..)(..)..  x(o.)(..)..-&#x  |  2 1 0 0  0  0 0 | 0 0 1  2  0 0  0 0  0 0  0 0 0  0 0 0  0 0 0 | * * * * 6 * *  * * *  * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0
x(.o)(..)..   .(..)(..)..  .(..)(..)..-&#x  |  2 0 1 0  0  0 0 | 1 0 0  0  2 0  0 0  0 0  0 0 0  0 0 0  0 0 0 | * * * * * 6 *  * * *  * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0
.(..)(..)..   x(.u)(x.)..  .(..)(..)..-&#xt |  2 0 2 2  0  0 0 | 0 1 0  0  2 0  0 2  0 1  0 0 0  0 0 0  0 0 0 | * * * * * * 6  * * *  * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0 0
o(oo)(.o)..-3-o(oo)(.o)..  o(oo)(.o)..-&#xr |  1 1 1 0  1  0 0 | 0 0 0  1  1 0  1 0  1 0  0 0 0  0 0 0  0 0 0 | * * * * * * * 12 * *  * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 cycle (abec)
.(..)(..)..   .(x.)(.u)x.  .(..)(..)..-&#xt |  0 2 0 0  2  2 0 | 0 0 0  0  0 1  2 0  0 0  0 0 0  2 0 1  0 0 0 | * * * * * * *  * 6 *  * * * * * * * * * * * * | 0 1 0 0 0 1 0 0 0 0
.(..)(..)..   .(..)(..)..  .(o.)(.x)..-&#x  |  0 1 0 0  2  0 0 | 0 0 0  0  0 0  2 0  0 0  0 0 1  0 0 0  0 0 0 | * * * * * * *  * * 6  * * * * * * * * * * * * | 0 0 1 0 0 1 0 0 0 0
.(.o)(oo)o.-3-.(.o)(oo)o.  .(.o)(oo)o.-&#xr |  0 0 1 1  1  1 0 | 0 0 0  0  0 0  0 1  1 0  1 0 0  1 0 0  0 0 0 | * * * * * * *  * * * 12 * * * * * * * * * * * | 0 1 0 0 0 0 1 0 0 0 cycle (cdfe)
.(.o)(.x)..   .(..)(..)..  .(..)(..)..-&#x  |  0 0 1 0  2  0 0 | 0 0 0  0  0 0  0 0  2 0  0 1 0  0 0 0  0 0 0 | * * * * * * *  * * *  * 6 * * * * * * * * * * | 0 0 1 0 0 0 1 0 0 0
.(..)(o.)..-3-.(..)(x.)..  .(..)(..)..      |  0 0 0 3  0  0 0 | 0 0 0  0  0 0  0 0  0 3  0 0 0  0 0 0  0 0 0 | * * * * * * *  * * *  * * 2 * * * * * * * * * | 0 0 0 0 1 0 0 1 0 0
.(..)(o.)x.   .(..)(..)..  .(..)(..)..-&#x  |  0 0 0 1  0  2 0 | 0 0 0  0  0 0  0 0  0 0  2 0 0  0 1 0  0 0 0 | * * * * * * *  * * *  * * * 6 * * * * * * * * | 0 0 0 0 0 0 1 1 0 0
.(..)(..)..   .(..)(x.)x.  .(..)(..)..-&#x  |  0 0 0 2  0  2 0 | 0 0 0  0  0 0  0 0  0 1  2 0 0  0 0 1  0 0 0 | * * * * * * *  * * *  * * * * 6 * * * * * * * | 0 1 0 0 0 0 0 1 0 0
.(..)(.x)..   .(..)(..)..  .(..)(.x)..      |  0 0 0 0  4  0 0 | 0 0 0  0  0 0  0 0  0 0  0 2 2  0 0 0  0 0 0 | * * * * * * *  * * *  * * * * * 3 * * * * * * | 0 0 1 0 0 0 0 0 1 0
.(..)(.x)x.   .(..)(..)..  .(..)(..)..-&#x  |  0 0 0 0  2  2 0 | 0 0 0  0  0 0  0 0  0 0  0 1 0  2 1 0  0 0 0 | * * * * * * *  * * *  * * * * * * 6 * * * * * | 0 0 0 0 0 0 1 0 1 0
.(..)(..)..   .(..)(..)..  .(..)(.x)ux-&#xt |  0 0 0 0  2  2 2 | 0 0 0  0  0 0  0 0  0 0  0 0 1  2 0 0  2 0 1 | * * * * * * *  * * *  * * * * * * * 6 * * * * | 0 0 0 0 0 1 0 0 1 0
.(..)(..)xx   .(..)(..)..  .(..)(..)..-&#x  |  0 0 0 0  0  2 2 | 0 0 0  0  0 0  0 0  0 0  0 0 0  0 1 0  2 1 0 | * * * * * * *  * * *  * * * * * * * * 6 * * * | 0 0 0 0 0 0 0 1 1 0
.(..)(..)..   .(..)(..)xo  .(..)(..)..-&#x  |  0 0 0 0  0  2 1 | 0 0 0  0  0 0  0 0  0 0  0 0 0  0 0 1  2 0 0 | * * * * * * *  * * *  * * * * * * * * * 6 * * | 0 0 0 0 0 1 0 1 0 0
.(..)(..).x-3-.(..)(..).o  .(..)(..)..      |  0 0 0 0  0  0 3 | 0 0 0  0  0 0  0 0  0 0  0 0 0  0 0 0  0 3 0 | * * * * * * *  * * *  * * * * * * * * * * 2 * | 0 0 0 0 0 0 0 1 0 1
.(..)(..).x   .(..)(..)..  .(..)(..).x      |  0 0 0 0  0  0 4 | 0 0 0  0  0 0  0 0  0 0  0 0 0  0 0 0  0 2 2 | * * * * * * *  * * *  * * * * * * * * * * * 3 | 0 0 0 0 0 0 0 0 1 1
--------------------------------------------+------------------+----------------------------------------------+-----------------------------------------------+--------------------
x(..)(..)..-3-x(..)(..)..  x(..)(..)..       12 0 0 0  0  0 0 | 6 6 6  0  0 0  0 0  0 0  0 0 0  0 0 0  0 0 0 | 2 3 3 0 0 0 0  0 0 0  0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * *
.(..)(..)..   x(xu)(xu)x.  .(..)(..)..-&#xr   2 2 2 2  2  2 0 | 0 1 0  2  2 1  2 2  2 1  2 0 0  2 0 1  0 0 0 | 0 0 0 1 0 0 1  2 1 0  2 0 0 0 1 0 0 0 0 0 0 0 | * 6 * * * * * * * * cycle (abefdc)
x(uo)(.x)..   .(..)(..)..  x(ou)(.x)..-&#xt   4 2 2 0  4  0 0 | 2 0 2  4  4 0  4 0  4 0  0 2 2  0 0 0  0 0 0 | 0 1 0 0 2 2 0  4 0 2  0 2 0 0 0 1 0 0 0 0 0 0 | * * 3 * * * * * * *
.(..)(..)..   x(x.)(..)..  x(o.)(..)..-&#x    4 2 0 0  0  0 0 | 0 2 2  4  0 1  0 0  0 0  0 0 0  0 0 0  0 0 0 | 0 0 1 2 2 0 0  0 0 0  0 0 0 0 0 0 0 0 0 0 0 0 | * * * 3 * * * * * *
x(.o)(o.)..-3-x(.u)(x.)..  .(..)(..)..-&#xt   6 0 3 3  0  0 0 | 3 3 0  0  6 0  0 3  0 3  0 0 0  0 0 0  0 0 0 | 1 0 0 0 0 3 3  0 0 0  0 0 1 0 0 0 0 0 0 0 0 0 | * * * * 2 * * * * *
.(..)(..)..   .(x.)(.u)xo  .(o.)(.x)ux-&#xt   0 2 0 0  0  4 2 | 0 0 0  0  0 1  4 0  0 0  0 0 2  4 0 2  4 0 1 | 0 0 0 0 0 0 0  0 2 2  0 0 0 0 0 0 0 2 0 2 0 0 | * * * * * 3 * * * *
.(.o)(ox)x.   .(..)(..)..  .(..)(..)..-&#xr   0 0 1 1  2  2 0 | 0 0 0  0  0 0  0 1  2 0  2 1 0  2 1 0  0 0 0 | 0 0 0 0 0 0 0  0 0 0  2 1 0 1 0 0 1 0 0 0 0 0 | * * * * * * 6 * * * cycle (cdfe)
.(..)(o.)xx-3-.(..)(x.)xo  .(..)(..)..-&#x    0 0 0 3  0  6 3 | 0 0 0  0  0 0  0 0  0 3  6 0 0  0 3 3  6 3 0 | 0 0 0 0 0 0 0  0 0 0  0 0 1 3 3 0 0 0 3 3 1 0 | * * * * * * * 2 * *
.(..)(.x)xx   .(..)(..)..  .(..)(.x)ux-&#xt   0 0 0 0  4  4 4 | 0 0 0  0  0 0  0 0  0 0  0 2 2  4 2 0  4 2 2 | 0 0 0 0 0 0 0  0 0 0  0 0 0 0 0 1 2 2 2 0 0 1 | * * * * * * * * 3 *
.(..)(..).x-3-.(..)(..).o  .(..)(..).x        0 0 0 0  0  0 6 | 0 0 0  0  0 0  0 0  0 0  0 0 0  0 0 0  0 6 3 | 0 0 0 0 0 0 0  0 0 0  0 0 0 0 0 0 0 0 0 0 2 3 | * * * * * * * * * 1