spic

Acronym spic

Name small prismatotetracontoctachoron,
runcinated icositetrachoron,
expanded icositetrachoron

Cross sections

©

Circumradius sqrt[2+sqrt(2)] = 1.847759

Vertex figure

©

Vertex layers

Layer	Symmetry	Subsymmetries
	`o3o4o3o`	`o3o4o .`	`o3o . o`	`o . o3o`	`. o4o3o`
1	`x3o4o3x`	`x3o4o .` oct first	`x3o . x` trip first	`x . o3x` trip first	`. o4o3x` oct first
2		`x3o4x .`	`x3q . o`	`o . q3x`	`. x4o3x`
3		`w3o4o .`	`o3x . w`	`w . x3o`	`. o4o3w`
4		`o3x4x .`	`w3o . x`	`x . o3w`	`. x4x3o`
5		`q3x4o .`	`o3w . q`	`q . w3o`	`. o4x3q`
6		`o3x4x .`	`q3x . w`	`w . x3q`	`. x4x3o`
7		`w3o4o .`	`x3w . o`	`o . w3x`	`. o4o3w`
8		`x3o4x .`	`o3x . X`	`X . x3o`	`. x4o3x`
9		`x3o4o .` opposite oct	`w3x . x`	`x . x3w`	`. o4o3x` opposite oct
10			`o3w . w`	`w . w3o`
11			`w3o . w`	`w . o3w`
12			`x3w . x`	`x . w3x`
13			`x3o . X`	`X . o3x`
14			`w3x . o`	`o . x3w`
15			`x3q . w`	`w . q3x`
16			`w3o . q`	`q . o3w`
17			`o3w . x`	`x . w3o`
18			`x3o . w`	`w . o3x`
19			`q3x . o`	`o . x3q`
20			`o3x . x` opposite trip	`x . x3o` opposite trip

(X=x+w=2x+q)

Lace city
in approx. ASCII-art

©	o4o o4x o4o x4o x4x x4x x4o o4o o4w o4o x4x w4o w4o x4x o4x o4w q4q o4w o4x x4x w4o w4o x4x o4o o4w o4o x4o x4x x4x x4o o4o o4x o4o

©	o3x o3x q3x x3o x3o o3w o3w w3o w3o x3q x3q w3x x3o x3o x3w x3w w3o w3o o3w o3w w3x w3x o3x o3x x3w q3x q3x o3w o3w w3o w3o o3x o3x x3q x3o x3o

Coordinates

(0, 0, sqrt(2)/2, (2+sqrt(2))/2) & all permutations, all changes of sign
(1/2, 1/2, (1+sqrt(2))/2, (1+sqrt(2))/2) & all permutations, all changes of sign
(vertex inscribed srit)

General of army (is itself convex)

Colonel of regiment

(is itself locally convex – uniform polychoral members:

by cells:	oct	quith	sirco	sroh	trip
siddic	48	48	0	0	0
inpac	48	0	24	0	96
spic	48	0	0	0	192
sirc	0	0	0	48	0

& others)

Dihedral angles

at {4} between trip and trip: arccos[-sqrt(8)/3] = 160.528779°
at {3} between oct and trip: 150°

Face vector 144, 576, 672, 240

Confer

related segmentochora:: oct || sirco squippy || squacu
uniform relative:: srit odip ticcup
related CRFs:: owau prit dapabdi spic
variants:: q3o4o3x
decompositions:: ico || spic
ambification:: respic
general polytopal classes:: Wythoffian polychora partial Stott expansions

External
links

As abstract polytope spic is isomorphic to quippic, thereby replacing oct by inverted oct resp. an antipodium vertex figure by a frustrum one.

Diminishing spic by octasircoes at hexadecachoral positions results in the srit. Diminishing only at one cycle of 4 of those positions results in the cyted spic.

Applying an oct-first deep paradiminishing results in the bistratic central segment dapabdi spic. That one then could be further diminished at the medial layer, resulting in ticcup.

Stott expanding an hexadecachoral subset of spic's octs results in the owau prit.

Note that spic can be thought of as the external blend of 1 ico + 24 octpies + 96 tepes + 96 triddips + 24 opes. This decomposition is described as the degenerate segmentoteron ox3oo4oo3xx&#x.

By virtue of an outer symmetry this is a non-quasiregular monotoxal polychoron, that is all edges belong to the same equivalence class.

Incidence matrix according to Dynkin symbol

x3o4o3x

. . . . | 144 ♦   4   4 |   4   8   4 |  1  4  4  1
--------+-----+---------+-------------+------------
x . . . |   2 | 288   * |   2   2   0 |  1  2  1  0
. . . x |   2 |   * 288 |   0   2   2 |  0  1  2  1
--------+-----+---------+-------------+------------
x3o . . |   3 |   3   0 | 192   *   * |  1  1  0  0
x . . x |   4 |   2   2 |   * 288   * |  0  1  1  0
. . o3x |   3 |   0   3 |   *   * 192 |  0  0  1  1
--------+-----+---------+-------------+------------
x3o4o . ♦   6 |  12   0 |   8   0   0 | 24  *  *  *
x3o . x ♦   6 |   6   3 |   2   3   0 |  * 96  *  *
x . o3x ♦   6 |   3   6 |   0   3   2 |  *  * 96  *
. o4o3x ♦   6 |   0  12 |   0   0   8 |  *  *  * 24

or
. . . .    | 144 ♦   8 |   8   8 |  2   8
-----------+-----+-----+---------+-------
x . . .  & |   2 | 576 |   2   2 |  1   3
-----------+-----+-----+---------+-------
x3o . .  & |   3 |   3 | 384   * |  1   1
x . . x    |   4 |   4 |   * 288 |  0   2
-----------+-----+-----+---------+-------
x3o4o .  & ♦   6 |  12 |   8   0 | 48   *
x3o . x  & ♦   6 |   9 |   2   3 |  * 192

snubbed forms: β3o4o3x, β3o4o3β

x3o4/3o3/2x

. .   .   . | 144 |   4   4 |   4   8   4 |  1  4  4  1
------------+-----+---------+-------------+------------
x .   .   . |   2 | 288   * |   2   2   0 |  1  2  1  0
. .   .   x |   2 |   * 288 |   0   2   2 |  0  1  2  1
------------+-----+---------+-------------+------------
x3o   .   . |   3 |   3   0 | 192   *   * |  1  1  0  0
x .   .   x |   4 |   2   2 |   * 288   * |  0  1  1  0
. .   o3/2x |   3 |   0   3 |   *   * 192 |  0  0  1  1
------------+-----+---------+-------------+------------
x3o4/3o   . ♦   6 |  12   0 |   8   0   0 | 24  *  *  *
x3o   .   x ♦   6 |   6   3 |   2   3   0 |  * 96  *  *
x .   o3/2x ♦   6 |   3   6 |   0   3   2 |  *  * 96  *
. o4/3o3/2x ♦   6 |   0  12 |   0   0   8 |  *  *  * 24

x3/2o4o3/2x

.   . .   . | 144 |   4   4 |   4   8   4 |  1  4  4  1
------------+-----+---------+-------------+------------
x   . .   . |   2 | 288   * |   2   2   0 |  1  2  1  0
.   . .   x |   2 |   * 288 |   0   2   2 |  0  1  2  1
------------+-----+---------+-------------+------------
x3/2o .   . |   3 |   3   0 | 192   *   * |  1  1  0  0
x   . .   x |   4 |   2   2 |   * 288   * |  0  1  1  0
.   . o3/2x |   3 |   0   3 |   *   * 192 |  0  0  1  1
------------+-----+---------+-------------+------------
x3/2o4o   . ♦   6 |  12   0 |   8   0   0 | 24  *  *  *
x3/2o .   x ♦   6 |   6   3 |   2   3   0 |  * 96  *  *
x   . o3/2x ♦   6 |   3   6 |   0   3   2 |  *  * 96  *
.   o4o3/2x ♦   6 |   0  12 |   0   0   8 |  *  *  * 24


xxwoqowxx3oooxxxooo4oxoxoxoxo&#xt   → height(1,2) = height(2,3) = height(4,5) = height(5,6) = height(7,8) = height(8,9) = 1/2
                                      height(3,4) = height(6,7) = 1/sqrt(2)-1/2 = 0.207107
(oct || pseudo sirco || pseudo w-oct || pseudo tic || pseudo (q,x)-toe || pseudo tic || pseudo w-oct || pseudo sirco || oct)

o........3o........4o........      & | 12  *  *  *  * |  4  4  0  0  0  0  0  0  0  0  0  0 |  4  8  4  0  0  0  0  0  0  0  0  0  0  0  0  0 | 1  4  4  1  0  0  0  0 0 0  0  0
.o.......3.o.......4.o.......      & |  * 48  *  *  * |  0  1  2  2  1  2  0  0  0  0  0  0 |  0  2  2  1  2  2  2  1  2  2  0  0  0  0  0  0 | 0  1  2  1  1  2  1  2 0 0  0  0
..o......3..o......4..o......      & |  *  * 12  *  * |  0  0  0  0  4  0  4  0  0  0  0  0 |  0  0  0  0  0  4  0  0  0  8  4  0  0  0  0  0 | 0  0  0  1  0  0  4  4 1 0  0  0
...o.....3...o.....4...o.....      & |  *  *  * 48  * |  0  0  0  0  0  2  0  2  1  2  1  0 |  0  0  0  0  0  0  1  2  2  2  0  1  2  2  2  2 | 0  0  0  0  1  1  2  2 0 1  1  2
....o....3....o....4....o....        |  *  *  *  * 24 |  0  0  0  0  0  0  2  0  0  4  0  2 |  0  0  0  0  0  0  0  0  0  4  4  0  4  2  0  2 | 0  0  0  0  0  0  4  2 1 0  1  2
-------------------------------------+----------------+-------------------------------------+-------------------------------------------------+---------------------------------
x........ ......... .........      & |  2  0  0  0  0 | 24  *  *  *  *  *  *  *  *  *  *  * |  2  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 1  2  1  0  0  0  0  0 0 0  0  0
oo.......3oo.......4oo.......&#x   & |  1  1  0  0  0 |  * 48  *  *  *  *  *  *  *  *  *  * |  0  2  2  0  0  0  0  0  0  0  0  0  0  0  0  0 | 0  1  2  1  0  0  0  0 0 0  0  0
.x....... ......... .........      & |  0  2  0  0  0 |  *  * 48  *  *  *  *  *  *  *  *  * |  0  1  0  1  1  0  1  0  0  0  0  0  0  0  0  0 | 0  1  1  0  1  1  0  0 0 0  0  0
......... ......... .x.......      & |  0  2  0  0  0 |  *  *  * 48  *  *  *  *  *  *  *  * |  0  0  1  0  1  1  0  0  1  0  0  0  0  0  0  0 | 0  0  1  1  0  1  0  1 0 0  0  0
.oo......3.oo......4.oo......&#x   & |  0  1  1  0  0 |  *  *  *  * 48  *  *  *  *  *  *  * |  0  0  0  0  0  2  0  0  0  2  0  0  0  0  0  0 | 0  0  0  1  0  0  1  2 0 0  0  0
.o.o.....3.o.o.....4.o.o.....&#x   & |  0  1  0  1  0 |  *  *  *  *  * 96  *  *  *  *  *  * |  0  0  0  0  0  0  1  1  1  1  0  0  0  0  0  0 | 0  0  0  0  1  1  1  1 0 0  0  0
..o.o....3..o.o....4..o.o....&#x   & |  0  0  1  0  1 |  *  *  *  *  *  * 48  *  *  *  *  * |  0  0  0  0  0  0  0  0  0  2  2  0  0  0  0  0 | 0  0  0  0  0  0  2  1 1 0  0  0
......... ...x..... .........      & |  0  0  0  2  0 |  *  *  *  *  *  *  * 48  *  *  *  * |  0  0  0  0  0  0  0  1  0  0  0  1  1  0  1  0 | 0  0  0  0  1  0  1  0 0 1  0  1
......... ......... ...x.....      & |  0  0  0  2  0 |  *  *  *  *  *  *  *  * 24  *  *  * |  0  0  0  0  0  0  0  0  2  0  0  0  0  2  0  0 | 0  0  0  0  0  1  0  2 0 0  1  0
...oo....3...oo....4...oo....&#x   & |  0  0  0  1  1 |  *  *  *  *  *  *  *  *  * 96  *  * |  0  0  0  0  0  0  0  0  0  1  0  0  1  1  0  1 | 0  0  0  0  0  0  1  1 0 0  1  1
...o.o...3...o.o...4...o.o...&#x     |  0  0  0  2  0 |  *  *  *  *  *  *  *  *  *  * 24  * |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2 | 0  0  0  0  0  0  0  0 0 1  1  2
......... ....x.... .........        |  0  0  0  0  2 |  *  *  *  *  *  *  *  *  *  *  * 24 |  0  0  0  0  0  0  0  0  0  0  2  0  2  0  0  0 | 0  0  0  0  0  0  2  0 1 0  0  1
-------------------------------------+----------------+-------------------------------------+-------------------------------------------------+---------------------------------
x........3o........ .........      & |  3  0  0  0  0 |  3  0  0  0  0  0  0  0  0  0  0  0 | 16  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  1  0  0  0  0  0  0 0 0  0  0
xx....... ......... .........&#x   & |  2  2  0  0  0 |  1  2  1  0  0  0  0  0  0  0  0  0 |  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  1  0  0  0  0  0 0 0  0  0
......... ......... ox.......&#x   & |  1  2  0  0  0 |  0  2  0  1  0  0  0  0  0  0  0  0 |  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  1  1  0  0  0  0 0 0  0  0
.x.......3.o....... .........      & |  0  3  0  0  0 |  0  0  3  0  0  0  0  0  0  0  0  0 |  *  *  * 16  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  0  0  1  0  0  0 0 0  0  0
.x....... ......... .x.......      & |  0  4  0  0  0 |  0  0  2  2  0  0  0  0  0  0  0  0 |  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  * | 0  0  1  0  0  1  0  0 0 0  0  0
......... ......... .xo......&#x   & |  0  2  1  0  0 |  0  0  0  1  2  0  0  0  0  0  0  0 |  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  * | 0  0  0  1  0  0  0  1 0 0  0  0
.x.o..... ......... .........&#x   & |  0  2  0  1  0 |  0  0  1  0  0  2  0  0  0  0  0  0 |  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  * | 0  0  0  0  1  1  0  0 0 0  0  0
......... .o.x..... .........&#x   & |  0  1  0  2  0 |  0  0  0  0  0  2  0  1  0  0  0  0 |  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  * | 0  0  0  0  1  0  1  0 0 0  0  0
......... ......... .x.x.....&#x   & |  0  2  0  2  0 |  0  0  0  1  0  2  0  0  1  0  0  0 |  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  * | 0  0  0  0  0  1  0  1 0 0  0  0
.oooo....3.oooo....4.oooo....&#xr  & |  0  1  1  1  1 |  0  0  0  0  1  1  1  0  0  1  0  0 |  *  *  *  *  *  *  *  *  * 96  *  *  *  *  *  * | 0  0  0  0  0  0  1  1 0 0  0  0
......... ..o.x.... .........&#x   & |  0  0  1  0  2 |  0  0  0  0  0  0  2  0  0  0  0  1 |  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  * | 0  0  0  0  0  0  1  0 1 0  0  0
...o.....3...x..... .........      & |  0  0  0  3  0 |  0  0  0  0  0  0  0  3  0  0  0  0 |  *  *  *  *  *  *  *  *  *  *  * 16  *  *  *  * | 0  0  0  0  1  0  0  0 0 1  0  0
......... ...xx.... .........&#x   & |  0  0  0  2  2 |  0  0  0  0  0  0  0  1  0  2  0  1 |  *  *  *  *  *  *  *  *  *  *  *  * 48  *  *  * | 0  0  0  0  0  0  1  0 0 0  0  1
......... ......... ...xo....&#x   & |  0  0  0  2  1 |  0  0  0  0  0  0  0  0  1  2  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  * 48  *  * | 0  0  0  0  0  0  0  1 0 0  1  0
......... ...x.x... .........&#x     |  0  0  0  4  0 |  0  0  0  0  0  0  0  2  0  0  2  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 24  * | 0  0  0  0  0  0  0  0 0 1  0  1
...ooo...3...ooo...4...ooo...&#xr    |  0  0  0  2  1 |  0  0  0  0  0  0  0  0  0  2  1  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 48 | 0  0  0  0  0  0  0  0 0 0  1  1
-------------------------------------+----------------+-------------------------------------+-------------------------------------------------+---------------------------------
x........3o........4o........      & ♦  6  0  0  0  0 | 12  0  0  0  0  0  0  0  0  0  0  0 |  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 2  *  *  *  *  *  *  * * *  *  *
xx.......3oo....... .........&#x   & ♦  3  3  0  0  0 |  3  3  3  0  0  0  0  0  0  0  0  0 |  1  3  0  1  0  0  0  0  0  0  0  0  0  0  0  0 | * 16  *  *  *  *  *  * * *  *  *
xx....... ........  ox.......&#x   & ♦  2  4  0  0  0 |  1  4  2  2  0  0  0  0  0  0  0  0 |  0  2  2  0  1  0  0  0  0  0  0  0  0  0  0  0 | *  * 24  *  *  *  *  * * *  *  *
......... ooo......4oxo......&#xt  & ♦  1  4  1  0  0 |  0  4  0  4  4  0  0  0  0  0  0  0 |  0  0  4  0  0  4  0  0  0  0  0  0  0  0  0  0 | *  *  * 12  *  *  *  * * *  *  *
.x.o.....3.o.x..... .........&#x   & ♦  0  3  0  3  0 |  0  0  3  0  0  6  0  3  0  0  0  0 |  0  0  0  1  0  0  3  3  0  0  0  1  0  0  0  0 | *  *  *  * 16  *  *  * * *  *  *
.x.o..... ......... .x.x.....&#x   & ♦  0  4  0  2  0 |  0  0  2  2  0  4  0  0  1  0  0  0 |  0  0  0  0  1  0  2  0  2  0  0  0  0  0  0  0 | *  *  *  *  * 24  *  * * *  *  *
......... .ooxx.... .........&#xr  & ♦  0  1  1  2  2 |  0  0  0  0  1  2  2  1  0  2  0  1 |  0  0  0  0  0  0  0  1  0  2  1  0  1  0  0  0 | *  *  *  *  *  * 48  * * *  *  *
......... ......... .xoxo....&#xr  & ♦  0  2  1  2  1 |  0  0  0  1  2  2  1  0  1  2  0  0 |  0  0  0  0  0  1  0  0  1  2  0  0  0  1  0  0 | *  *  *  *  *  *  * 48 * *  *  *
......... ..o.x.o..4..o.o.o..&#xt    ♦  0  0  2  0  4 |  0  0  0  0  0  0  8  0  0  0  0  4 |  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  0 | *  *  *  *  *  *  *  * 6 *  *  *
...o.o...3...x.x... .........&#x     ♦  0  0  0  6  0 |  0  0  0  0  0  0  0  6  0  0  3  0 |  0  0  0  0  0  0  0  0  0  0  0  2  0  0  3  0 | *  *  *  *  *  *  *  * * 8  *  *
...oqo... ......... ...xox...&#xt    ♦  0  0  0  4  2 |  0  0  0  0  0  0  0  0  2  8  2  0 |  0  0  0  0  0  0  0  0  0  0  0  0  0  4  0  4 | *  *  *  *  *  *  *  * * * 12  *
......... ...xxx... .........&#xr    ♦  0  0  0  4  2 |  0  0  0  0  0  0  0  2  0  4  2  1 |  0  0  0  0  0  0  0  0  0  0  0  0  2  0  1  2 | *  *  *  *  *  *  *  * * *  * 24

qo3xx3oo4ox&#zx   → height = 0
(tegum sum of (q,x)-thex and srit)

o.3o.3o.4o.     | 48  * |  4   4   0  0 |  4   8   4  0  0  0 | 1  1  4  4  0  0
.o3.o3.o4.o     |  * 96 |  0   2   4  2 |  0   4   4  2  2  4 | 0  1  2  4  1  2
----------------+-------+---------------+---------------------+-----------------
.. x. .. ..     |  2  0 | 96   *   *  * |  2   2   0  0  0  0 | 1  0  2  1  0  0
oo3oo3oo4oo&#x  |  1  1 |  * 192   *  * |  0   2   2  0  0  0 | 0  1  1  2  0  0
.. .x .. ..     |  0  2 |  *   * 192  * |  0   1   0  1  1  1 | 0  0  1  1  1  1
.. .. .. .x     |  0  2 |  *   *   * 96 |  0   0   2  0  0  2 | 0  1  0  2  0  1
----------------+-------+---------------+---------------------+-----------------
.. x.3o. ..     |  3  0 |  3   0   0  0 | 64   *   *  *  *  * | 1  0  1  0  0  0
.. xx .. ..&#x  |  2  2 |  1   2   1  0 |  * 192   *  *  *  * | 0  0  1  1  0  0
.. .. .. ox&#x  |  1  2 |  0   2   0  1 |  *   * 192  *  *  * | 0  1  0  1  0  0
.o3.x .. ..     |  0  3 |  0   0   3  0 |  *   *   * 64  *  * | 0  0  0  0  1  1
.. .x3.o ..     |  0  3 |  0   0   3  0 |  *   *   *  * 64  * | 0  0  1  0  1  0
.. .x .. .x     |  0  4 |  0   0   2  2 |  *   *   *  *  * 96 | 0  0  0  1  0  1
----------------+-------+---------------+---------------------+-----------------
.. x.3o.4o.     ♦  6  0 | 12   0   0  0 |  8   0   0  0  0  0 | 8  *  *  *  *  *
qo .. oo4ox&#zx ♦  2  4 |  0   8   0  4 |  0   0   8  0  0  0 | * 24  *  *  *  *
.. xx3oo ..&#x  ♦  3  3 |  3   3   3  0 |  1   3   0  0  1  0 | *  * 64  *  *  *
.. xx .. ox&#x  ♦  2  4 |  1   4   2  2 |  0   2   2  0  0  1 | *  *  * 96  *  *
.o3.x3.o ..     ♦  0  6 |  0   0  12  0 |  0   0   0  4  4  0 | *  *  *  * 16  *
.o3.x .. .x     ♦  0  6 |  0   0   6  3 |  0   0   0  2  0  3 | *  *  *  *  * 32

qoo3xxx3oqo *b3ooq&#zx   → height = 0
(tegum sum of 3 mutually gyrated (q,x)-thexes)

o..3o..3o.. *b3o..     | 48  *  * |  4  2  2  0  0  0 |  2  2  4  4   4  0  0  0  0  0 | 1  2  2  1  4 0  0 0
.o.3.o.3.o. *b3.o.     |  * 48  * |  0  2  0  4  2  0 |  0  0  4  0   4  2  2  4  0  0 | 0  2  0  1  4 1  2 0
..o3..o3..o *b3..o     |  *  * 48 |  0  0  2  0  2  4 |  0  0  0  4   4  0  0  4  2  2 | 0  0  2  1  4 0  2 1
-----------------------+----------+-------------------+--------------------------------+---------------------
... x.. ...    ...     |  2  0  0 | 96  *  *  *  *  * |  1  1  1  1   0  0  0  0  0  0 | 1  1  1  0  1 0  0 0
oo.3oo.3oo. *b3oo.&#x  |  1  1  0 |  * 96  *  *  *  * |  0  0  2  0   2  0  0  0  0  0 | 0  1  0  1  2 0  0 0
o.o3o.o3o.o *b3o.o&#x  |  1  0  1 |  *  * 96  *  *  * |  0  0  0  2   2  0  0  0  0  0 | 0  0  1  1  2 0  0 0
... .x. ...    ...     |  0  2  0 |  *  *  * 96  *  * |  0  0  1  0   0  1  1  1  0  0 | 0  1  0  0  1 1  1 0
.oo3.oo3.oo *b3.oo&#x  |  0  1  1 |  *  *  *  * 96  * |  0  0  0  0   2  0  0  2  0  0 | 0  0  0  1  2 0  1 0
... ..x ...    ...     |  0  0  2 |  *  *  *  *  * 96 |  0  0  0  1   0  0  0  1  1  1 | 0  0  1  0  1 0  1 1
-----------------------+----------+-------------------+--------------------------------+---------------------
... x..3o..    ...     |  3  0  0 |  3  0  0  0  0  0 | 32  *  *  *   *  *  *  *  *  * | 1  0  1  0  0 0  0 0
... x.. ... *b3o..     |  3  0  0 |  3  0  0  0  0  0 |  * 32  *  *   *  *  *  *  *  * | 1  1  0  0  0 0  0 0
... xx. ...    ...&#x  |  2  2  0 |  1  2  0  1  0  0 |  *  * 96  *   *  *  *  *  *  * | 0  1  0  0  1 0  0 0
... x.x ...    ...&#x  |  2  0  2 |  1  0  2  0  0  1 |  *  *  * 96   *  *  *  *  *  * | 0  0  1  0  1 0  0 0
ooo3ooo3ooo *b3ooo&#x  |  1  1  1 |  0  1  1  0  1  0 |  *  *  *  * 192  *  *  *  *  * | 0  0  0  1  1 0  0 0
.o.3.x. ...    ...     |  0  3  0 |  0  0  0  3  0  0 |  *  *  *  *   * 32  *  *  *  * | 0  0  0  0  0 1  1 0
... .x. ... *b3.o.     |  0  3  0 |  0  0  0  3  0  0 |  *  *  *  *   *  * 32  *  *  * | 0  1  0  0  0 1  0 0
... .xx ...    ...&#x  |  0  2  2 |  0  0  0  1  2  1 |  *  *  *  *   *  *  * 96  *  * | 0  0  0  0  1 0  1 0
..o3..x ...    ...     |  0  0  3 |  0  0  0  0  0  3 |  *  *  *  *   *  *  *  * 32  * | 0  0  0  0  0 0  1 1
... ..x3..o    ...     |  0  0  3 |  0  0  0  0  0  3 |  *  *  *  *   *  *  *  *  * 32 | 0  0  1  0  0 0  0 1
-----------------------+----------+-------------------+--------------------------------+---------------------
... x..3o.. *b3o..     ♦  6  0  0 | 12  0  0  0  0  0 |  4  4  0  0   0  0  0  0  0  0 | 8  *  *  *  * *  * *
... xx. ... *b3oo.&#x  ♦  3  3  0 |  3  3  0  3  0  0 |  0  1  3  0   0  0  1  0  0  0 | * 32  *  *  * *  * *
... x.x3o.o    ...&#x  ♦  3  0  3 |  3  0  3  0  0  3 |  1  0  0  3   0  0  0  0  0  1 | *  * 32  *  * *  * *
qoo ... oqo    ooq&#zx ♦  2  2  2 |  0  4  4  0  4  0 |  0  0  0  0   8  0  0  0  0  0 | *  *  * 24  * *  * *
... xxx ...    ...&#x  ♦  2  2  2 |  1  2  2  1  2  1 |  0  0  1  1   2  0  0  1  0  0 | *  *  *  * 96 *  * *
.o.3.x. ... *b3.o.     ♦  0  6  0 |  0  0  0 12  0  0 |  0  0  0  0   0  4  4  0  0  0 | *  *  *  *  * 8  * *
.oo3.xx ...    ...&#x  ♦  0  3  3 |  0  0  0  3  3  3 |  0  0  0  0   0  1  0  3  1  0 | *  *  *  *  * * 32 *
..o3..x3..o    ...     ♦  0  0  6 |  0  0  0  0  0 12 |  0  0  0  0   0  0  0  0  4  4 | *  *  *  *  * *  * 8

oxqwU2qowxx3xxooo4oxoxo&#zx   → height = 0 (U=w+x=q+u=q+2x)
(tegum sum of equatorial (q,x)-toe with ticcup, (q,w)-ope, (w,x)-sircope, and (U,x)-ope)

o....2o....3o....4o....     | 24  *  *  *  * |  2  4  2  0  0  0  0  0  0  0  0  0 |  2  4  2  4  4  0  0  0  0  0  0  0  0  0  0  0 |  1  2  4  2 1 0  0  0  0  0  0 0
.o...2.o...3.o...4.o...     |  * 48  *  *  * |  0  2  0  1  2  1  2  0  0  0  0  0 |  2  2  2  0  2  2  1  1  2  2  0  0  0  0  0  0 |  1  2  2  2 0 1  1  1  0  0  0 0
..o..2..o..3..o..4..o..     |  *  * 12  *  * |  0  0  4  0  0  0  0  4  0  0  0  0 |  0  0  0  4  8  0  0  0  0  0  4  0  0  0  0  0 |  0  0  4  4 1 0  0  0  1  0  0 0
...o.2...o.3...o.4...o.     |  *  *  * 48  * |  0  0  0  0  0  0  2  1  2  2  1  0 |  0  0  0  0  2  0  0  2  1  2  2  1  2  2  2  0 |  0  0  1  2 0 0  1  2  1  1  2 0
....o2....o3....o4....o     |  *  *  *  * 12 |  0  0  0  0  0  0  0  0  0  0  4  4 |  0  0  0  0  0  0  0  0  0  0  0  0  0  8  4  4 |  0  0  0  0 0 0  0  0  1  4  4 1
----------------------------+----------------+-------------------------------------+-------------------------------------------------+---------------------------------
..... ..... x.... .....     |  2  0  0  0  0 | 24  *  *  *  *  *  *  *  *  *  *  * |  0  2  0  2  0  0  0  0  0  0  0  0  0  0  0  0 |  0  1  2  0 1 0  0  0  0  0  0 0
oo...2oo...3oo...4oo...&#x  |  1  1  0  0  0 |  * 96  *  *  *  *  *  *  *  *  *  * |  1  1  1  0  1  0  0  0  0  0  0  0  0  0  0  0 |  1  1  1  1 0 0  0  0  0  0  0 0
o.o..2o.o..3o.o..4o.o..&#x  |  1  0  1  0  0 |  *  * 48  *  *  *  *  *  *  *  *  * |  0  0  0  2  2  0  0  0  0  0  0  0  0  0  0  0 |  0  0  2  1 1 0  0  0  0  0  0 0
.x... ..... ..... .....     |  0  2  0  0  0 |  *  *  * 24  *  *  *  *  *  *  *  * |  2  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0 |  1  2  0  0 0 1  0  0  0  0  0 0
..... ..... .x... .....     |  0  2  0  0  0 |  *  *  *  * 48  *  *  *  *  *  *  * |  0  1  0  0  0  1  1  0  1  0  0  0  0  0  0  0 |  0  1  1  0 0 1  1  0  0  0  0 0
..... ..... ..... .x...     |  0  2  0  0  0 |  *  *  *  *  * 24  *  *  *  *  *  * |  0  0  2  0  0  0  0  0  0  2  0  0  0  0  0  0 |  1  0  0  2 0 0  0  1  0  0  0 0
.o.o.2.o.o.3.o.o.4.o.o.&#x  |  0  1  0  1  0 |  *  *  *  *  *  * 96  *  *  *  *  * |  0  0  0  0  1  0  0  1  1  1  0  0  0  0  0  0 |  0  0  1  1 0 0  1  1  0  0  0 0
..oo.2..oo.3..oo.4..oo.&#x  |  0  0  1  1  0 |  *  *  *  *  *  *  * 48  *  *  *  * |  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0 |  0  0  1  2 0 0  0  0  1  0  0 0
..... ...x. ..... .....     |  0  0  0  2  0 |  *  *  *  *  *  *  *  * 48  *  *  * |  0  0  0  0  0  0  0  1  0  0  0  1  1  1  0  0 |  0  0  0  0 0 0  1  1  0  1  1 0
..... ..... ..... ...x.     |  0  0  0  2  0 |  *  *  *  *  *  *  *  *  * 48  *  * |  0  0  0  0  0  0  0  0  0  1  1  0  1  0  1  0 |  0  0  0  1 0 0  0  1  1  0  1 0
...oo2...oo3...oo4...oo&#x  |  0  0  0  1  1 |  *  *  *  *  *  *  *  *  *  * 48  * |  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  0 |  0  0  0  0 0 0  0  0  1  1  2 0
..... ....x ..... .....     |  0  0  0  0  2 |  *  *  *  *  *  *  *  *  *  *  * 24 |  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  2 |  0  0  0  0 0 0  0  0  0  2  1 1
----------------------------+----------------+-------------------------------------+-------------------------------------------------+---------------------------------
ox... ..... ..... .....&#x  |  1  2  0  0  0 |  0  2  0  1  0  0  0  0  0  0  0  0 | 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  1  1  0  0 0 0  0  0  0  0  0 0
..... ..... xx... .....&#x  |  2  2  0  0  0 |  1  2  0  0  1  0  0  0  0  0  0  0 |  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  0  1  1  0 0 0  0  0  0  0  0 0
..... ..... ..... ox...&#x  |  1  2  0  0  0 |  0  2  0  0  0  1  0  0  0  0  0  0 |  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  * |  1  0  1  0 0 0  0  0  0  0  0 0
..... ..... x.o.. .....&#x  |  2  0  1  0  0 |  1  0  2  0  0  0  0  0  0  0  0  0 |  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  * |  0  0  1  0 1 0  0  0  0  0  0 0
oooo.2oooo.3oooo.4oooo.&#xr |  1  1  1  1  0 |  0  1  1  0  0  0  1  1  0  0  0  0 |  *  *  *  * 96  *  *  *  *  *  *  *  *  *  *  * |  0  0  1  1 0 0  0  0  0  0  0 0 cycle: (ABDC)
.x... ..... .x... .....     |  0  4  0  0  0 |  0  0  0  2  2  0  0  0  0  0  0  0 |  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  * |  0  1  0  0 0 1  0  0  0  0  0 0
..... .o...3.x... .....     |  0  3  0  0  0 |  0  0  0  0  3  0  0  0  0  0  0  0 |  *  *  *  *  *  * 16  *  *  *  *  *  *  *  *  * |  0  0  0  0 0 1  1  0  0  0  0 0
..... .o.x. ..... .....&#x  |  0  1  0  2  0 |  0  0  0  0  0  0  2  0  1  0  0  0 |  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  * |  0  0  0  0 0 0  1  1  0  0  0 0
..... ..... .x.o. .....&#x  |  0  2  0  1  0 |  0  0  0  0  1  0  2  0  0  0  0  0 |  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  * |  0  0  1  0 0 0  1  0  0  0  0 0
..... ..... ..... .x.x.&#x  |  0  2  0  2  0 |  0  0  0  0  0  1  2  0  0  1  0  0 |  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  * |  0  0  0  1 0 0  0  1  0  0  0 0
..... ..... ..... ..ox.&#x  |  0  0  1  2  0 |  0  0  0  0  0  0  0  2  0  1  0  0 |  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  * |  0  0  0  1 0 0  0  0  1  0  0 0
..... ...x.3...o. .....     |  0  0  0  3  0 |  0  0  0  0  0  0  0  0  3  0  0  0 |  *  *  *  *  *  *  *  *  *  *  * 16  *  *  *  * |  0  0  0  0 0 0  1  0  0  1  0 0
..... ...x. ..... ...x.     |  0  0  0  4  0 |  0  0  0  0  0  0  0  0  2  2  0  0 |  *  *  *  *  *  *  *  *  *  *  *  * 24  *  *  * |  0  0  0  0 0 0  1  0  0  0  1 0
..... ...xx ..... .....&#x  |  0  0  0  2  2 |  0  0  0  0  0  0  0  0  1  0  2  1 |  *  *  *  *  *  *  *  *  *  *  *  *  * 48  *  * |  0  0  0  0 0 0  0  0  0  1  1 0
..... ..... ..... ...xo&#x  |  0  0  0  2  1 |  0  0  0  0  0  0  0  0  0  1  2  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 48  * |  0  0  0  0 0 0  0  0  1  0  1 0
..... ....x3....o .....     |  0  0  0  0  3 |  0  0  0  0  0  0  0  0  0  0  0  3 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 16 |  0  0  0  0 0 0  0  0  0  1  0 1
----------------------------+----------------+-------------------------------------+-------------------------------------------------+---------------------------------
ox...2qo... ..... ox...&#zx ♦  2  4  0  0  0 |  0  8  0  2  0  2  0  0  0  0  0  0 |  4  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0 | 12  *  *  * * *  *  *  *  *  * *
ox... ..... xx... .....&#x  ♦  2  4  0  0  0 |  1  4  0  2  2  0  0  0  0  0  0  0 |  2  2  0  0  0  1  0  0  0  0  0  0  0  0  0  0 |  * 24  *  * * *  *  *  *  *  * *
..... ..... xxoo. .....&#xr ♦  2  2  1  1  0 |  1  2  2  0  1  0  2  1  0  0  0  0 |  0  1  0  1  2  0  0  0  1  0  0  0  0  0  0  0 |  *  * 48  * * *  *  *  *  *  * * cycle: (ABDC)
..... ..... ..... oxox.&#xr ♦  1  2  1  2  0 |  0  2  1  0  0  1  2  2  0  1  0  0 |  0  0  1  0  2  0  0  0  0  1  1  0  0  0  0  0 |  *  *  * 48 * *  *  *  *  *  * * cycle: (ABDC)
o.q.. ..... x.o..4o.o..&#zx ♦  4  0  2  0  0 |  4  0  8  0  0  0  0  0  0  0  0  0 |  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0 |  *  *  *  * 6 *  *  *  *  *  * *
.x...2.o...3.x... .....     ♦  0  6  0  0  0 |  0  0  0  3  6  0  0  0  0  0  0  0 |  0  0  0  0  0  3  2  0  0  0  0  0  0  0  0  0 |  *  *  *  * * 8  *  *  *  *  * *
..... .o.x.3.x.o. .....&#x  ♦  0  3  0  3  0 |  0  0  0  0  3  0  6  0  3  0  0  0 |  0  0  0  0  0  0  1  3  3  0  0  1  0  0  0  0 |  *  *  *  * * * 16  *  *  *  * *
..... .o.x. ..... .x.x.&#x  ♦  0  2  0  4  0 |  0  0  0  0  0  1  4  0  2  2  0  0 |  0  0  0  0  0  0  0  2  0  2  0  0  1  0  0  0 |  *  *  *  * * *  * 24  *  *  * *
..... ..... ..ooo4..oxo&#xt ♦  0  0  1  4  1 |  0  0  0  0  0  0  0  4  0  4  4  0 |  0  0  0  0  0  0  0  0  0  0  4  0  0  0  4  0 |  *  *  *  * * *  *  * 12  *  * *
..... ...xx3...oo .....&#x  ♦  0  0  0  3  3 |  0  0  0  0  0  0  0  0  3  0  3  3 |  0  0  0  0  0  0  0  0  0  0  0  1  0  3  0  1 |  *  *  *  * * *  *  *  * 16  * *
..... ...xx ..... ...xo&#x  ♦  0  0  0  4  2 |  0  0  0  0  0  0  0  0  2  2  4  1 |  0  0  0  0  0  0  0  0  0  0  0  0  1  2  2  0 |  *  *  *  * * *  *  *  *  * 24 *
..... ....x3....o4....o     ♦  0  0  0  0  6 |  0  0  0  0  0  0  0  0  0  0  0 12 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8 |  *  *  *  * * *  *  *  *  *  * 2

ooxxowq4oxoxwoq qowxoxo4qwoxxoo&#zx

o......4o...... o......4o......     | 8  *  *  *  *  * * |  4  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0 |  4  4  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 1 1  4  4  0  0  0  0  0  0  0  0 0 0
.o.....4.o..... .o.....4.o.....     | * 16  *  *  *  * * |  2  0  2  4  0  0  0  0  0  0  0  0  0  0  0  0 |  4  0  4  2  4  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 1 0  2  4  1  2  0  0  0  0  0  0 0 0
..o....4..o.... ..o....4..o....     | *  * 16  *  *  * * |  0  2  0  0  2  4  0  0  0  0  0  0  0  0  0  0 |  0  4  4  0  0  0  4  2  2  0  0  0  0  0  0  0  0  0  0  0 | 0 1  4  2  0  0  2  1  0  0  0  0 0 0
...o...4...o... ...o...4...o...     | *  *  * 64  *  * * |  0  0  0  1  0  1  1  1  1  1  1  1  0  0  0  0 |  0  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  0 | 0 0  1  1  1  1  1  1  1  1  1  1 0 0
....o..4....o.. ....o..4....o..     | *  *  *  * 16  * * |  0  0  0  0  0  0  0  0  0  0  4  0  2  2  0  0 |  0  0  0  0  0  0  0  0  0  0  0  2  2  4  0  0  0  4  4  0 | 0 0  0  0  1  0  0  0  2  0  2  4 1 0
.....o.4.....o. .....o.4.....o.     | *  *  *  *  * 16 * |  0  0  0  0  0  0  0  0  0  0  0  4  0  0  2  2 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  4  2  4  0  4 | 0 0  0  0  0  0  0  1  0  2  4  2 0 1
......o4......o ......o4......o     | *  *  *  *  *  * 8 |  0  0  0  0  0  0  0  0  0  0  0  0  0  4  0  4 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  4  4 | 0 0  0  0  0  0  0  0  0  0  4  4 1 1
------------------------------------+--------------------+-------------------------------------------------+-------------------------------------------------------------+--------------------------------------
oo.....4oo..... oo.....4oo.....&#x  | 1  1  0  0  0  0 0 | 32  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  2  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 1 0  1  2  0  0  0  0  0  0  0  0 0 0
o.o....4o.o.... o.o....4o.o....&#x  | 1  0  1  0  0  0 0 |  * 32  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  0  2  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 0 1  2  1  0  0  0  0  0  0  0  0 0 0
....... .x..... ....... .......     | 0  2  0  0  0  0 0 |  *  * 16  *  *  *  *  *  *  *  *  *  *  *  *  * |  2  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 1 0  0  2  0  1  0  0  0  0  0  0 0 0
.o.o...4.o.o... .o.o...4.o.o...&#x  | 0  1  0  1  0  0 0 |  *  *  * 64  *  *  *  *  *  *  *  *  *  *  *  * |  0  0  1  1  1  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 0 0  1  1  1  1  0  0  0  0  0  0 0 0
..x.... ....... ....... .......     | 0  0  2  0  0  0 0 |  *  *  *  * 16  *  *  *  *  *  *  *  *  *  *  * |  0  2  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0 | 0 1  2  0  0  0  1  0  0  0  0  0 0 0
..oo...4..oo... ..oo...4..oo...&#x  | 0  0  1  1  0  0 0 |  *  *  *  *  * 64  *  *  *  *  *  *  *  *  *  * |  0  0  1  0  0  0  1  1  1  0  0  0  0  0  0  0  0  0  0  0 | 0 0  1  1  0  0  1  1  0  0  0  0 0 0
...x... ....... ....... .......     | 0  0  0  2  0  0 0 |  *  *  *  *  *  * 32  *  *  *  *  *  *  *  *  * |  0  0  0  1  0  0  1  0  0  1  0  1  0  0  0  0  0  0  0  0 | 0 0  1  0  1  0  1  0  1  0  0  0 0 0
....... ...x... ....... .......     | 0  0  0  2  0  0 0 |  *  *  *  *  *  *  * 32  *  *  *  *  *  *  *  * |  0  0  0  0  1  0  0  1  0  0  1  0  0  0  1  0  0  0  0  0 | 0 0  0  1  0  1  0  1  0  1  0  0 0 0
....... ....... ...x... .......     | 0  0  0  2  0  0 0 |  *  *  *  *  *  *  *  * 32  *  *  *  *  *  *  * |  0  0  0  0  0  1  0  0  0  0  1  0  1  0  0  1  0  0  0  0 | 0 0  0  0  1  1  0  0  0  1  1  0 0 0
....... ....... ....... ...x...     | 0  0  0  2  0  0 0 |  *  *  *  *  *  *  *  *  * 32  *  *  *  *  *  * |  0  0  0  0  0  0  0  0  1  1  0  0  0  1  0  0  1  0  0  0 | 0 0  0  0  0  0  1  1  1  0  0  1 0 0
...oo..4...oo.. ...oo..4...oo..&#x  | 0  0  0  1  1  0 0 |  *  *  *  *  *  *  *  *  *  * 64  *  *  *  *  * |  0  0  0  0  0  0  0  0  0  0  0  1  1  1  0  0  0  1  0  0 | 0 0  0  0  1  0  0  0  1  0  1  1 0 0
...o.o.4...o.o. ...o.o.4...o.o.&#x  | 0  0  0  1  0  1 0 |  *  *  *  *  *  *  *  *  *  *  * 64  *  *  *  * |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  1  1  1  1  0  0 | 0 0  0  0  0  0  0  1  0  1  1  1 0 0
....... ....... ....... ....x..     | 0  0  0  0  2  0 0 |  *  *  *  *  *  *  *  *  *  *  *  * 16  *  *  * |  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  0 | 0 0  0  0  0  0  0  0  1  0  0  2 1 0
....o.o4....o.o ....o.o4....o.o&#x  | 0  0  0  0  1  0 1 |  *  *  *  *  *  *  *  *  *  *  *  *  * 32  *  * |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  0 | 0 0  0  0  0  0  0  0  0  0  1  2 1 0
....... ....... .....x. .......     | 0  0  0  0  0  2 0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 16  * |  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  0  0  0  0  1  2  0 0 1
.....oo4.....oo .....oo4.....oo&#x  | 0  0  0  0  0  1 1 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 32 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  2 | 0 0  0  0  0  0  0  0  0  0  2  1 0 1
------------------------------------+--------------------+-------------------------------------------------+-------------------------------------------------------------+--------------------------------------
....... ox..... ....... .......&#x  | 1  2  0  0  0  0 0 |  2  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0 | 32  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 1 0  0  1  0  0  0  0  0  0  0  0 0 0
o.x.... ....... ....... .......&#x  | 1  0  2  0  0  0 0 |  0  2  0  0  1  0  0  0  0  0  0  0  0  0  0  0 |  * 32  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 1  1  0  0  0  0  0  0  0  0  0 0 0
oooo...4oooo... oooo...4oooo...&#xr | 1  1  1  1  0  0 0 |  1  1  0  1  0  1  0  0  0  0  0  0  0  0  0  0 |  *  * 64  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  1  1  0  0  0  0  0  0  0  0 0 0  cycle: (ABDC)
.o.x... ....... ....... .......&#x  | 0  1  0  2  0  0 0 |  0  0  0  2  0  0  1  0  0  0  0  0  0  0  0  0 |  *  *  * 32  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  1  0  1  0  0  0  0  0  0  0 0 0
....... .x.x... ....... .......&#x  | 0  2  0  2  0  0 0 |  0  0  1  2  0  0  0  1  0  0  0  0  0  0  0  0 |  *  *  *  * 32  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  1  0  1  0  0  0  0  0  0 0 0
....... ....... .o.x... .......&#x  | 0  1  0  2  0  0 0 |  0  0  0  2  0  0  0  0  1  0  0  0  0  0  0  0 |  *  *  *  *  * 32  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  1  1  0  0  0  0  0  0 0 0
..xx... ....... ....... .......&#x  | 0  0  2  2  0  0 0 |  0  0  0  0  1  2  1  0  0  0  0  0  0  0  0  0 |  *  *  *  *  *  * 32  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  1  0  0  0  1  0  0  0  0  0 0 0
....... ..ox... ....... .......&#x  | 0  0  1  2  0  0 0 |  0  0  0  0  0  2  0  1  0  0  0  0  0  0  0  0 |  *  *  *  *  *  *  * 32  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  1  0  0  0  1  0  0  0  0 0 0
....... ....... ....... ..ox...&#x  | 0  0  1  2  0  0 0 |  0  0  0  0  0  2  0  0  0  1  0  0  0  0  0  0 |  *  *  *  *  *  *  *  * 32  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  0  1  1  0  0  0  0 0 0
...x... ....... ....... ...x...     | 0  0  0  4  0  0 0 |  0  0  0  0  0  0  2  0  0  2  0  0  0  0  0  0 |  *  *  *  *  *  *  *  *  * 16  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  0  1  0  1  0  0  0 0 0
....... ...x... ...x... .......     | 0  0  0  4  0  0 0 |  0  0  0  0  0  0  0  2  2  0  0  0  0  0  0  0 |  *  *  *  *  *  *  *  *  *  * 16  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  1  0  0  0  1  0  0 0 0
...xo.. ....... ....... .......&#x  | 0  0  0  2  1  0 0 |  0  0  0  0  0  0  1  0  0  0  2  0  0  0  0  0 |  *  *  *  *  *  *  *  *  *  *  * 32  *  *  *  *  *  *  *  * | 0 0  0  0  1  0  0  0  1  0  0  0 0 0
....... ....... ...xo.. .......&#x  | 0  0  0  2  1  0 0 |  0  0  0  0  0  0  0  0  1  0  2  0  0  0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  * 32  *  *  *  *  *  *  * | 0 0  0  0  1  0  0  0  0  0  1  0 0 0
....... ....... ....... ...xx..&#x  | 0  0  0  2  2  0 0 |  0  0  0  0  0  0  0  0  0  1  2  0  1  0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  * 32  *  *  *  *  *  * | 0 0  0  0  0  0  0  0  1  0  0  1 0 0
....... ...x.o. ....... .......&#x  | 0  0  0  2  0  1 0 |  0  0  0  0  0  0  0  1  0  0  0  2  0  0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 32  *  *  *  *  * | 0 0  0  0  0  0  0  1  0  1  0  0 0 0
....... ....... ...x.x. .......&#x  | 0  0  0  2  0  2 0 |  0  0  0  0  0  0  0  0  1  0  0  2  0  0  1  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 32  *  *  *  * | 0 0  0  0  0  0  0  0  0  1  1  0 0 0
....... ....... ....... ...x.o.&#x  | 0  0  0  2  0  1 0 |  0  0  0  0  0  0  0  0  0  1  0  2  0  0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 32  *  *  * | 0 0  0  0  0  0  0  1  0  0  0  1 0 0
...oooo4...oooo ...oooo4...oooo&#xr | 0  0  0  1  1  1 1 |  0  0  0  0  0  0  0  0  0  0  1  1  0  1  0  1 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 64  *  * | 0 0  0  0  0  0  0  0  0  0  1  1 0 0  cycle: (DEGF)
....... ....... ....... ....x.o&#x  | 0  0  0  0  2  0 1 |  0  0  0  0  0  0  0  0  0  0  0  0  1  2  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 32  * | 0 0  0  0  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  1  2 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 32 | 0 0  0  0  0  0  0  0  0  0  1  0 0 1
------------------------------------+--------------------+-------------------------------------------------+-------------------------------------------------------------+--------------------------------------
oo.....4ox..... qo..... .......&#zx ♦ 2  4  0  0  0  0 0 |  8  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0 |  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 4 *  *  *  *  *  *  *  *  *  *  * * *
o.x....4o.o.... ....... q.o....&#zx ♦ 2  0  4  0  0  0 0 |  0  8  0  0  4  0  0  0  0  0  0  0  0  0  0  0 |  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | * 4  *  *  *  *  *  *  *  *  *  * * *
ooxx... ....... ....... .......&#xr ♦ 1  1  2  2  0  0 0 |  1  2  0  2  1  2  1  0  0  0  0  0  0  0  0  0 |  0  1  2  1  0  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0 | * * 32  *  *  *  *  *  *  *  *  * * *  cycle: (ABDC)
....... oxox... ....... .......&#xr ♦ 1  2  1  2  0  0 0 |  2  1  1  2  0  2  0  1  0  0  0  0  0  0  0  0 |  1  0  2  0  1  0  0  1  0  0  0  0  0  0  0  0  0  0  0  0 | * *  * 32  *  *  *  *  *  *  *  * * *  cycle: (ABDC)
.o.xo.. ....... .o.xo.. .......&#xt ♦ 0  1  0  2  1  0 0 |  0  0  0  4  0  0  2  0  2  0  4  0  0  0  0  0 |  0  0  0  2  0  2  0  0  0  0  0  2  2  0  0  0  0  0  0  0 | * *  *  * 16  *  *  *  *  *  *  * * *
....... .x.x... .o.x... .......&#x  ♦ 0  2  0  4  0  0 0 |  0  0  1  4  0  0  0  2  2  0  0  0  0  0  0  0 |  0  0  0  0  2  2  0  0  0  0  1  0  0  0  0  0  0  0  0  0 | * *  *  *  * 16  *  *  *  *  *  * * *
..xx... ....... ....... ..ox...&#x  ♦ 0  0  2  4  0  0 0 |  0  0  0  0  1  4  2  0  0  2  0  0  0  0  0  0 |  0  0  0  0  0  0  2  0  2  1  0  0  0  0  0  0  0  0  0  0 | * *  *  *  *  * 16  *  *  *  *  * * *
....... ..ox.o. ....... ..ox.o.&#xt ♦ 0  0  1  4  0  1 0 |  0  0  0  0  0  4  0  2  0  2  0  4  0  0  0  0 |  0  0  0  0  0  0  0  2  2  0  0  0  0  0  2  0  2  0  0  0 | * *  *  *  *  *  * 16  *  *  *  * * *
...xo.. ....... ....... ...xx..&#x  ♦ 0  0  0  4  2  0 0 |  0  0  0  0  0  0  2  0  0  2  4  0  1  0  0  0 |  0  0  0  0  0  0  0  0  0  1  0  2  0  2  0  0  0  0  0  0 | * *  *  *  *  *  *  * 16  *  *  * * *
....... ...x.o. ...x.x. .......&#x  ♦ 0  0  0  4  0  2 0 |  0  0  0  0  0  0  0  2  2  0  0  4  0  0  1  0 |  0  0  0  0  0  0  0  0  0  0  1  0  0  0  2  2  0  0  0  0 | * *  *  *  *  *  *  *  * 16  *  * * *
....... ....... ...xoxo .......&#xr ♦ 0  0  0  2  1  2 1 |  0  0  0  0  0  0  0  0  1  0  2  2  0  1  1  2 |  0  0  0  0  0  0  0  0  0  0  0  0  1  0  0  1  0  2  0  1 | * *  *  *  *  *  *  *  *  * 32  * * *  cycle: (DEGF)
....... ....... ....... ...xxoo&#xr ♦ 0  0  0  2  2  1 1 |  0  0  0  0  0  0  0  0  0  1  2  2  1  2  0  1 |  0  0  0  0  0  0  0  0  0  0  0  0  0  1  0  0  1  2  1  0 | * *  *  *  *  *  *  *  *  *  * 32 * *  cycle: (DEGF)
....o.q ....... ....o.o4....x.o&#zx ♦ 0  0  0  0  4  0 2 |  0  0  0  0  0  0  0  0  0  0  0  0  4  8  0  0 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  0 | * *  *  *  *  *  *  *  *  *  *  * 4 *
....... .....oq .....xo4.....oo&#zx ♦ 0  0  0  0  0  4 2 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  8 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8 | * *  *  *  *  *  *  *  *  *  *  * * 4

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