|
Acronym
|
scant
|
|
Name
|
small cellated penteractitriacontiditeron,
stericated penteract,
stericated pentacross
|
|
Field of sections
|
 ©
|
|
Circumradius
|
sqrt[7+2 sqrt(2)]/2 = 1.567516
|
Inradius
wrt. pen
|
[5+sqrt(2)]/sqrt(20) = 1.434262
|
Inradius
wrt. tepe
|
[1+2 sqrt(2)]/sqrt(8) = 1.353553
|
Inradius
wrt. tisdip
|
[3+sqrt(2)]/sqrt(12) = 1.274274
|
Inradius
wrt. tes
|
(1+sqrt(2))/2 = 1.207107
|
|
Vertex figure
|
 ©  ©
|
Lace city
in approx. ASCII-art
|
o3o4x o3o4x -- o3o3o4x (tes)
o3o4x x3o4x x3o4x o3o4x -- x3o3o4x (sidpith)
o3o4x x3o4x x3o4x o3o4x -- x3o3o4x (sidpith)
o3o4x o3o4x -- o3o3o4x (tes)
|
|
Coordinates
|
(1+sqrt(2), 1, 1, 1, 1)/2 & all permutations, all changes of sign
|
|
Volume
|
[355+251 sqrt(2)]/30 = 23.665587
|
|
Surface
|
[150+20 sqrt(2)+60 sqrt(3)+sqrt(5)]/3 = 94.814463
|
|
General of army
|
(is itself convex)
|
|
Colonel of regiment
|
(is itself locally convex
– other uniform polyteral members:
& others)
|
Dihedral angles
(at margins)
|
|
|
Face vector
|
160, 640, 1040, 800, 242
|
|
Confer
|
- uniform relative:
-
sidpithip
- general polytopal classes:
-
Wythoffian polytera
partial Stott expansions
- analogs:
-
maximal expanded hypercube eCn
|
External
links
|
|
As abstract polytope scant is isomorphic to quacant, thereby just cross-folding the vertex figure.
Incidence matrix according to Dynkin symbol
x3o3o3o4x
. . . . . | 160 | 4 4 | 6 12 6 | 4 12 12 4 | 1 4 6 4 1
----------+-----+---------+-------------+----------------+---------------
x . . . . | 2 | 320 * | 3 3 0 | 3 6 3 0 | 1 3 3 1 0
. . . . x | 2 | * 320 | 0 3 3 | 0 3 6 3 | 0 1 3 3 1
----------+-----+---------+-------------+----------------+---------------
x3o . . . | 3 | 3 0 | 320 * * | 2 2 0 0 | 1 2 1 0 0
x . . . x | 4 | 2 2 | * 480 * | 0 2 2 0 | 0 1 2 1 0
. . . o4x | 4 | 0 4 | * * 240 | 0 0 2 2 | 0 0 1 2 1
----------+-----+---------+-------------+----------------+---------------
x3o3o . . ♦ 4 | 6 0 | 4 0 0 | 160 * * * | 1 1 0 0 0
x3o . . x ♦ 6 | 6 3 | 2 3 0 | * 320 * * | 0 1 1 0 0
x . . o4x ♦ 8 | 4 8 | 0 4 2 | * * 240 * | 0 0 1 1 0
. . o3o4x ♦ 8 | 0 12 | 0 0 6 | * * * 80 | 0 0 0 1 1
----------+-----+---------+-------------+----------------+---------------
x3o3o3o . ♦ 5 | 10 0 | 10 0 0 | 5 0 0 0 | 32 * * * *
x3o3o . x ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | * 80 * * *
x3o . o4x ♦ 12 | 12 12 | 4 12 3 | 0 4 3 0 | * * 80 * *
x . o3o4x ♦ 16 | 8 24 | 0 12 12 | 0 0 6 2 | * * * 40 *
. o3o3o4x ♦ 16 | 0 32 | 0 0 24 | 0 0 0 8 | * * * * 10
snubbed forms: x3o3o3o4s
x3o3o3/2o4/3x
. . . . . | 160 | 4 4 | 6 12 6 | 4 12 12 4 | 1 4 6 4 1
--------------+-----+---------+-------------+----------------+---------------
x . . . . | 2 | 320 * | 3 3 0 | 3 6 3 0 | 1 3 3 1 0
. . . . x | 2 | * 320 | 0 3 3 | 0 3 6 3 | 0 1 3 3 1
--------------+-----+---------+-------------+----------------+---------------
x3o . . . | 3 | 3 0 | 320 * * | 2 2 0 0 | 1 2 1 0 0
x . . . x | 4 | 2 2 | * 480 * | 0 2 2 0 | 0 1 2 1 0
. . . o4/3x | 4 | 0 4 | * * 240 | 0 0 2 2 | 0 0 1 2 1
--------------+-----+---------+-------------+----------------+---------------
x3o3o . . ♦ 4 | 6 0 | 4 0 0 | 160 * * * | 1 1 0 0 0
x3o . . x ♦ 6 | 6 3 | 2 3 0 | * 320 * * | 0 1 1 0 0
x . . o4/3x ♦ 8 | 4 8 | 0 4 2 | * * 240 * | 0 0 1 1 0
. . o3/2o4/3x ♦ 8 | 0 12 | 0 0 6 | * * * 80 | 0 0 0 1 1
--------------+-----+---------+-------------+----------------+---------------
x3o3o3/2o . ♦ 5 | 10 0 | 10 0 0 | 5 0 0 0 | 32 * * * *
x3o3o . x ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | * 80 * * *
x3o . o4/3x ♦ 12 | 12 12 | 4 12 3 | 0 4 3 0 | * * 80 * *
x . o3/2o4/3x ♦ 16 | 8 24 | 0 12 12 | 0 0 6 2 | * * * 40 *
. o3o3/2o4/3x ♦ 16 | 0 32 | 0 0 24 | 0 0 0 8 | * * * * 10
x3o3/2o3o4/3x
. . . . . | 160 | 4 4 | 6 12 6 | 4 12 12 4 | 1 4 6 4 1
--------------+-----+---------+-------------+----------------+---------------
x . . . . | 2 | 320 * | 3 3 0 | 3 6 3 0 | 1 3 3 1 0
. . . . x | 2 | * 320 | 0 3 3 | 0 3 6 3 | 0 1 3 3 1
--------------+-----+---------+-------------+----------------+---------------
x3o . . . | 3 | 3 0 | 320 * * | 2 2 0 0 | 1 2 1 0 0
x . . . x | 4 | 2 2 | * 480 * | 0 2 2 0 | 0 1 2 1 0
. . . o4/3x | 4 | 0 4 | * * 240 | 0 0 2 2 | 0 0 1 2 1
--------------+-----+---------+-------------+----------------+---------------
x3o3/2o . . ♦ 4 | 6 0 | 4 0 0 | 160 * * * | 1 1 0 0 0
x3o . . x ♦ 6 | 6 3 | 2 3 0 | * 320 * * | 0 1 1 0 0
x . . o4/3x ♦ 8 | 4 8 | 0 4 2 | * * 240 * | 0 0 1 1 0
. . o3o4/3x ♦ 8 | 0 12 | 0 0 6 | * * * 80 | 0 0 0 1 1
--------------+-----+---------+-------------+----------------+---------------
x3o3/2o3o . ♦ 5 | 10 0 | 10 0 0 | 5 0 0 0 | 32 * * * *
x3o3/2o . x ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | * 80 * * *
x3o . o4/3x ♦ 12 | 12 12 | 4 12 3 | 0 4 3 0 | * * 80 * *
x . o3o4/3x ♦ 16 | 8 24 | 0 12 12 | 0 0 6 2 | * * * 40 *
. o3/2o3o4/3x ♦ 16 | 0 32 | 0 0 24 | 0 0 0 8 | * * * * 10
x3o3/2o3/2o4x
. . . . . | 160 | 4 4 | 6 12 6 | 4 12 12 4 | 1 4 6 4 1
--------------+-----+---------+-------------+----------------+---------------
x . . . . | 2 | 320 * | 3 3 0 | 3 6 3 0 | 1 3 3 1 0
. . . . x | 2 | * 320 | 0 3 3 | 0 3 6 3 | 0 1 3 3 1
--------------+-----+---------+-------------+----------------+---------------
x3o . . . | 3 | 3 0 | 320 * * | 2 2 0 0 | 1 2 1 0 0
x . . . x | 4 | 2 2 | * 480 * | 0 2 2 0 | 0 1 2 1 0
. . . o4x | 4 | 0 4 | * * 240 | 0 0 2 2 | 0 0 1 2 1
--------------+-----+---------+-------------+----------------+---------------
x3o3/2o . . ♦ 4 | 6 0 | 4 0 0 | 160 * * * | 1 1 0 0 0
x3o . . x ♦ 6 | 6 3 | 2 3 0 | * 320 * * | 0 1 1 0 0
x . . o4x ♦ 8 | 4 8 | 0 4 2 | * * 240 * | 0 0 1 1 0
. . o3/2o4x ♦ 8 | 0 12 | 0 0 6 | * * * 80 | 0 0 0 1 1
--------------+-----+---------+-------------+----------------+---------------
x3o3/2o3/2o . ♦ 5 | 10 0 | 10 0 0 | 5 0 0 0 | 32 * * * *
x3o3/2o . x ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | * 80 * * *
x3o . o4x ♦ 12 | 12 12 | 4 12 3 | 0 4 3 0 | * * 80 * *
x . o3/2o4x ♦ 16 | 8 24 | 0 12 12 | 0 0 6 2 | * * * 40 *
. o3/2o3/2o4x ♦ 16 | 0 32 | 0 0 24 | 0 0 0 8 | * * * * 10
x3/2o3o3o4/3x
. . . . . | 160 | 4 4 | 6 12 6 | 4 12 12 4 | 1 4 6 4 1
--------------+-----+---------+-------------+----------------+---------------
x . . . . | 2 | 320 * | 3 3 0 | 3 6 3 0 | 1 3 3 1 0
. . . . x | 2 | * 320 | 0 3 3 | 0 3 6 3 | 0 1 3 3 1
--------------+-----+---------+-------------+----------------+---------------
x3/2o . . . | 3 | 3 0 | 320 * * | 2 2 0 0 | 1 2 1 0 0
x . . . x | 4 | 2 2 | * 480 * | 0 2 2 0 | 0 1 2 1 0
. . . o4/3x | 4 | 0 4 | * * 240 | 0 0 2 2 | 0 0 1 2 1
--------------+-----+---------+-------------+----------------+---------------
x3/2o3o . . ♦ 4 | 6 0 | 4 0 0 | 160 * * * | 1 1 0 0 0
x3/2o . . x ♦ 6 | 6 3 | 2 3 0 | * 320 * * | 0 1 1 0 0
x . . o4/3x ♦ 8 | 4 8 | 0 4 2 | * * 240 * | 0 0 1 1 0
. . o3o4/3x ♦ 8 | 0 12 | 0 0 6 | * * * 80 | 0 0 0 1 1
--------------+-----+---------+-------------+----------------+---------------
x3/2o3o3o . ♦ 5 | 10 0 | 10 0 0 | 5 0 0 0 | 32 * * * *
x3/2o3o . x ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | * 80 * * *
x3/2o . o4/3x ♦ 12 | 12 12 | 4 12 3 | 0 4 3 0 | * * 80 * *
x . o3o4/3x ♦ 16 | 8 24 | 0 12 12 | 0 0 6 2 | * * * 40 *
. o3o3o4/3x ♦ 16 | 0 32 | 0 0 24 | 0 0 0 8 | * * * * 10
x3/2o3o3/2o4x
. . . . . | 160 | 4 4 | 6 12 6 | 4 12 12 4 | 1 4 6 4 1
--------------+-----+---------+-------------+----------------+---------------
x . . . . | 2 | 320 * | 3 3 0 | 3 6 3 0 | 1 3 3 1 0
. . . . x | 2 | * 320 | 0 3 3 | 0 3 6 3 | 0 1 3 3 1
--------------+-----+---------+-------------+----------------+---------------
x3/2o . . . | 3 | 3 0 | 320 * * | 2 2 0 0 | 1 2 1 0 0
x . . . x | 4 | 2 2 | * 480 * | 0 2 2 0 | 0 1 2 1 0
. . . o4x | 4 | 0 4 | * * 240 | 0 0 2 2 | 0 0 1 2 1
--------------+-----+---------+-------------+----------------+---------------
x3/2o3o . . ♦ 4 | 6 0 | 4 0 0 | 160 * * * | 1 1 0 0 0
x3/2o . . x ♦ 6 | 6 3 | 2 3 0 | * 320 * * | 0 1 1 0 0
x . . o4x ♦ 8 | 4 8 | 0 4 2 | * * 240 * | 0 0 1 1 0
. . o3/2o4x ♦ 8 | 0 12 | 0 0 6 | * * * 80 | 0 0 0 1 1
--------------+-----+---------+-------------+----------------+---------------
x3/2o3o3/2o . ♦ 5 | 10 0 | 10 0 0 | 5 0 0 0 | 32 * * * *
x3/2o3o . x ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | * 80 * * *
x3/2o . o4x ♦ 12 | 12 12 | 4 12 3 | 0 4 3 0 | * * 80 * *
x . o3/2o4x ♦ 16 | 8 24 | 0 12 12 | 0 0 6 2 | * * * 40 *
. o3o3/2o4x ♦ 16 | 0 32 | 0 0 24 | 0 0 0 8 | * * * * 10
x3/2o3/2o3o4x
. . . . . | 160 | 4 4 | 6 12 6 | 4 12 12 4 | 1 4 6 4 1
--------------+-----+---------+-------------+----------------+---------------
x . . . . | 2 | 320 * | 3 3 0 | 3 6 3 0 | 1 3 3 1 0
. . . . x | 2 | * 320 | 0 3 3 | 0 3 6 3 | 0 1 3 3 1
--------------+-----+---------+-------------+----------------+---------------
x3/2o . . . | 3 | 3 0 | 320 * * | 2 2 0 0 | 1 2 1 0 0
x . . . x | 4 | 2 2 | * 480 * | 0 2 2 0 | 0 1 2 1 0
. . . o4x | 4 | 0 4 | * * 240 | 0 0 2 2 | 0 0 1 2 1
--------------+-----+---------+-------------+----------------+---------------
x3/2o3/2o . . ♦ 4 | 6 0 | 4 0 0 | 160 * * * | 1 1 0 0 0
x3/2o . . x ♦ 6 | 6 3 | 2 3 0 | * 320 * * | 0 1 1 0 0
x . . o4x ♦ 8 | 4 8 | 0 4 2 | * * 240 * | 0 0 1 1 0
. . o3o4x ♦ 8 | 0 12 | 0 0 6 | * * * 80 | 0 0 0 1 1
--------------+-----+---------+-------------+----------------+---------------
x3/2o3/2o3o . ♦ 5 | 10 0 | 10 0 0 | 5 0 0 0 | 32 * * * *
x3/2o3/2o . x ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | * 80 * * *
x3/2o . o4x ♦ 12 | 12 12 | 4 12 3 | 0 4 3 0 | * * 80 * *
x . o3o4x ♦ 16 | 8 24 | 0 12 12 | 0 0 6 2 | * * * 40 *
. o3/2o3o4x ♦ 16 | 0 32 | 0 0 24 | 0 0 0 8 | * * * * 10
x3/2o3/2o3/2o4/3x
. . . . . | 160 | 4 4 | 6 12 6 | 4 12 12 4 | 1 4 6 4 1
------------------+-----+---------+-------------+----------------+---------------
x . . . . | 2 | 320 * | 3 3 0 | 3 6 3 0 | 1 3 3 1 0
. . . . x | 2 | * 320 | 0 3 3 | 0 3 6 3 | 0 1 3 3 1
------------------+-----+---------+-------------+----------------+---------------
x3/2o . . . | 3 | 3 0 | 320 * * | 2 2 0 0 | 1 2 1 0 0
x . . . x | 4 | 2 2 | * 480 * | 0 2 2 0 | 0 1 2 1 0
. . . o4/3x | 4 | 0 4 | * * 240 | 0 0 2 2 | 0 0 1 2 1
------------------+-----+---------+-------------+----------------+---------------
x3/2o3/2o . . ♦ 4 | 6 0 | 4 0 0 | 160 * * * | 1 1 0 0 0
x3/2o . . x ♦ 6 | 6 3 | 2 3 0 | * 320 * * | 0 1 1 0 0
x . . o4/3x ♦ 8 | 4 8 | 0 4 2 | * * 240 * | 0 0 1 1 0
. . o3/2o4/3x ♦ 8 | 0 12 | 0 0 6 | * * * 80 | 0 0 0 1 1
------------------+-----+---------+-------------+----------------+---------------
x3/2o3/2o3/2o . ♦ 5 | 10 0 | 10 0 0 | 5 0 0 0 | 32 * * * *
x3/2o3/2o . x ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | * 80 * * *
x3/2o . o4/3x ♦ 12 | 12 12 | 4 12 3 | 0 4 3 0 | * * 80 * *
x . o3/2o4/3x ♦ 16 | 8 24 | 0 12 12 | 0 0 6 2 | * * * 40 *
. o3/2o3/2o4/3x ♦ 16 | 0 32 | 0 0 24 | 0 0 0 8 | * * * * 10
oxxo3oooo3oooo4xxxx&#xt → outer heights = 1/sqrt(2) = 0.707107
central height = 1
(tes || pseudo sidpith || pseudo sidpith || tes)
o...3o...3o...4o... & | 32 * | 4 4 0 0 0 | 6 6 12 0 0 0 0 0 | 4 4 12 12 0 0 0 0 0 0 0 | 1 1 4 6 4 0 0 0 0
.o..3.o..3.o..4.o.. & | * 128 | 0 1 3 3 1 | 0 3 3 3 6 3 3 3 | 0 3 6 3 1 3 3 1 3 6 3 | 0 1 3 3 1 1 3 3 1
--------------------------+--------+-------------------+-----------------------------+------------------------------------+-------------------------
.... .... .... x... & | 2 0 | 64 * * * * | 3 0 3 0 0 0 0 0 | 3 0 3 6 0 0 0 0 0 0 0 | 1 0 1 3 3 0 0 0 0
oo..3oo..3oo..4oo..&#x & | 1 1 | * 128 * * * | 0 3 3 0 0 0 0 0 | 0 3 6 3 0 0 0 0 0 0 0 | 0 1 3 3 1 0 0 0 0
.x.. .... .... .... & | 0 2 | * * 192 * * | 0 1 0 2 2 0 1 0 | 0 2 2 0 1 2 1 0 2 2 0 | 0 1 2 1 0 1 2 1 0
.... .... .... .x.. & | 0 2 | * * * 192 * | 0 0 1 0 2 2 0 1 | 0 0 2 2 0 1 2 1 0 2 0 | 0 0 1 2 1 0 1 2 1
.oo.3.oo.3.oo.4.oo.&#x | 0 2 | * * * * 64 | 0 0 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 3 6 3 | 0 0 0 0 0 1 3 3 1
--------------------------+--------+-------------------+-----------------------------+------------------------------------+-------------------------
.... .... o...4x... & | 4 0 | 4 0 0 0 0 | 48 * * * * * * * | 2 0 0 2 0 0 0 0 0 0 0 | 1 0 0 1 2 0 0 0 0
ox.. .... .... ....&#x & | 1 2 | 0 2 1 0 0 | * 192 * * * * * * | 0 2 2 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 0 0 0
.... .... .... xx..&#x & | 2 2 | 1 2 0 1 0 | * * 192 * * * * * | 0 0 2 2 0 0 0 0 0 0 0 | 0 0 1 2 1 0 0 0 0
.x..3.o.. .... .... & | 0 3 | 0 0 3 0 0 | * * * 128 * * * * | 0 1 0 0 1 1 0 0 1 0 0 | 0 1 1 0 0 1 1 0 0
.x.. .... .... .x.. & | 0 4 | 0 0 2 2 0 | * * * * 192 * * * | 0 0 1 0 0 1 1 0 0 1 0 | 0 0 1 1 0 0 1 1 0
.... .... .o..4.x.. & | 0 4 | 0 0 0 4 0 | * * * * * 96 * * | 0 0 0 1 0 0 1 1 0 0 1 | 0 0 0 1 1 0 0 1 1
.xx. .... .... .... | 0 4 | 0 0 2 0 2 | * * * * * * 96 * | 0 0 0 0 0 0 0 0 2 2 0 | 0 0 0 0 0 1 2 1 0
.... .... .... .xx. | 0 4 | 0 0 0 2 2 | * * * * * * * 96 | 0 0 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 0 1 2 1
--------------------------+--------+-------------------+-----------------------------+------------------------------------+-------------------------
.... o...3o...4x... & ♦ 8 0 | 12 0 0 0 0 | 6 0 0 0 0 0 0 0 | 16 * * * * * * * * * * | 1 0 0 0 1 0 0 0 0
ox..3oo.. .... ....&#x & ♦ 1 3 | 0 3 3 0 0 | 0 3 0 1 0 0 0 0 | * 128 * * * * * * * * * | 0 1 1 0 0 0 0 0 0
ox.. .... .... xx..&#x & ♦ 2 4 | 1 4 2 2 0 | 0 2 2 0 1 0 0 0 | * * 192 * * * * * * * * | 0 0 1 1 0 0 0 0 0
.... .... oo..4xx..&#x & ♦ 4 4 | 4 4 0 4 0 | 1 0 4 0 0 1 0 0 | * * * 96 * * * * * * * | 0 0 0 1 1 0 0 0 0
.x..3.o..3.o.. .... & ♦ 0 4 | 0 0 6 0 0 | 0 0 0 4 0 0 0 0 | * * * * 32 * * * * * * | 0 1 0 0 0 1 0 0 0
.x..3.o.. .... .x.. & ♦ 0 6 | 0 0 6 3 0 | 0 0 0 2 3 0 0 0 | * * * * * 64 * * * * * | 0 0 1 0 0 0 1 0 0
.x.. .... .o..4.x.. & ♦ 0 8 | 0 0 4 8 0 | 0 0 0 0 4 2 0 0 | * * * * * * 48 * * * * | 0 0 0 1 0 0 0 1 0
.... .o..3.o..4.x.. & ♦ 0 8 | 0 0 0 12 0 | 0 0 0 0 0 6 0 0 | * * * * * * * 16 * * * | 0 0 0 0 1 0 0 0 1
.xx.3.oo. .... ....&#x ♦ 0 6 | 0 0 6 0 3 | 0 0 0 2 0 0 3 0 | * * * * * * * * 64 * * | 0 0 0 0 0 1 1 0 0
.xx. .... .... .xx.&#x ♦ 0 8 | 0 0 4 4 4 | 0 0 0 0 2 0 2 2 | * * * * * * * * * 96 * | 0 0 0 0 0 0 1 1 0
.... .... .oo.4.xx.&#x ♦ 0 8 | 0 0 0 8 4 | 0 0 0 0 0 2 0 4 | * * * * * * * * * * 48 | 0 0 0 0 0 0 0 1 1
--------------------------+--------+-------------------+-----------------------------+------------------------------------+-------------------------
o...3o...3o...4x... & ♦ 16 0 | 32 0 0 0 0 | 24 0 0 0 0 0 0 0 | 8 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * * *
ox..3oo..3oo.. ....&#x & ♦ 1 4 | 0 4 6 0 0 | 0 6 0 4 0 0 0 0 | 0 4 0 0 1 0 0 0 0 0 0 | * 32 * * * * * * *
ox..3oo.. .... xx..&#x & ♦ 2 6 | 1 6 6 3 0 | 0 6 3 2 3 0 0 0 | 0 2 3 0 0 1 0 0 0 0 0 | * * 64 * * * * * *
ox.. .... oo..4xx..&#x & ♦ 4 8 | 4 8 4 8 0 | 1 4 8 0 4 2 0 0 | 0 0 4 2 0 0 1 0 0 0 0 | * * * 48 * * * * *
.... oo..3oo..4xx..&#x & ♦ 8 8 | 12 8 0 12 0 | 6 0 12 0 0 6 0 0 | 1 0 0 6 0 0 0 1 0 0 0 | * * * * 16 * * * *
.xx.3.oo.3.oo. ....&#x ♦ 0 8 | 0 0 12 0 4 | 0 0 0 8 0 0 6 0 | 0 0 0 0 2 0 0 0 4 0 0 | * * * * * 16 * * *
.xx.3.oo. .... .xx.&#x ♦ 0 12 | 0 0 12 6 6 | 0 0 0 4 6 0 6 3 | 0 0 0 0 0 2 0 0 2 3 0 | * * * * * * 32 * *
.xx. .... .oo.4.xx.&#x ♦ 0 16 | 0 0 8 16 8 | 0 0 0 0 8 4 4 8 | 0 0 0 0 0 0 2 0 0 4 2 | * * * * * * * 24 *
.... .oo.3.oo.4.xx.&#x ♦ 0 16 | 0 0 0 24 8 | 0 0 0 0 0 12 0 12 | 0 0 0 0 0 0 0 2 0 0 6 | * * * * * * * * 8
wx ox3oo3oo4xx&#zx → height = 0
o. o.3o.3o.4o. | 32 * | 4 4 0 0 0 | 6 6 12 0 0 0 0 0 | 4 4 12 12 0 0 0 0 0 0 0 | 1 1 4 6 4 0 0 0 0
.o .o3.o3.o4.o | * 128 | 0 1 1 3 3 | 0 3 3 3 3 3 6 3 | 0 3 6 3 3 6 3 1 3 3 1 | 0 1 3 3 1 1 3 3 1
-------------------+--------+-------------------+-----------------------------+------------------------------------+-------------------------
.. .. .. .. x. | 2 0 | 64 * * * * | 3 0 3 0 0 0 0 0 | 3 0 3 6 0 0 0 0 0 0 0 | 1 0 1 3 3 0 0 0 0
oo oo3oo3oo4oo&#x | 1 1 | * 128 * * * | 0 3 3 0 0 0 0 0 | 0 3 6 3 0 0 0 0 0 0 0 | 0 1 3 3 1 0 0 0 0
.x .. .. .. .. | 0 2 | * * 64 * * | 0 0 0 3 3 0 0 0 | 0 0 0 0 3 6 3 0 0 0 0 | 0 0 0 0 0 1 3 3 1
.. .x .. .. .. | 0 2 | * * * 192 * | 0 1 0 1 0 2 2 0 | 0 2 2 0 2 2 0 1 2 1 0 | 0 1 2 1 0 1 2 1 0
.. .. .. .. .x | 0 2 | * * * * 192 | 0 0 1 0 1 0 2 2 | 0 0 2 2 0 2 2 0 1 2 1 | 0 0 1 2 1 0 1 2 1
-------------------+--------+-------------------+-----------------------------+------------------------------------+-------------------------
.. .. .. o.4x. | 4 0 | 4 0 0 0 0 | 48 * * * * * * * | 2 0 0 2 0 0 0 0 0 0 0 | 1 0 0 1 2 0 0 0 0
.. ox .. .. ..&#x | 1 2 | 0 2 0 1 0 | * 192 * * * * * * | 0 2 2 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 0 0 0
.. .. .. .. xx&#x | 2 2 | 1 2 0 0 1 | * * 192 * * * * * | 0 0 2 2 0 0 0 0 0 0 0 | 0 0 1 2 1 0 0 0 0
.x .x .. .. .. | 0 4 | 0 0 2 2 0 | * * * 96 * * * * | 0 0 0 0 2 2 0 0 0 0 0 | 0 0 0 0 0 1 2 1 0
.x .. .. .. .x | 0 4 | 0 0 2 0 2 | * * * * 96 * * * | 0 0 0 0 0 2 2 0 0 0 0 | 0 0 0 0 0 0 1 2 1
.. .x3.o .. .. | 0 3 | 0 0 0 3 0 | * * * * * 128 * * | 0 1 0 0 1 0 0 1 1 0 0 | 0 1 1 0 0 1 1 0 0
.. .x .. .. .x | 0 4 | 0 0 0 2 2 | * * * * * * 192 * | 0 0 1 0 0 1 0 0 1 1 0 | 0 0 1 1 0 0 1 1 0
.. .. .. .o4.x | 0 4 | 0 0 0 0 4 | * * * * * * * 96 | 0 0 0 1 0 0 1 0 0 1 1 | 0 0 0 1 1 0 0 1 1
-------------------+--------+-------------------+-----------------------------+------------------------------------+-------------------------
.. .. o.3o.4x. ♦ 8 0 | 12 0 0 0 0 | 6 0 0 0 0 0 0 0 | 16 * * * * * * * * * * | 1 0 0 0 1 0 0 0 0
.. ox3oo .. ..&#x ♦ 1 3 | 0 3 0 3 0 | 0 3 0 0 0 1 0 0 | * 128 * * * * * * * * * | 0 1 1 0 0 0 0 0 0
.. ox .. .. xx&#x ♦ 2 4 | 1 4 0 2 2 | 0 2 2 0 0 0 1 0 | * * 192 * * * * * * * * | 0 0 1 1 0 0 0 0 0
.. .. .. oo4xx&#x ♦ 4 4 | 4 4 0 0 4 | 1 0 4 0 0 0 0 1 | * * * 96 * * * * * * * | 0 0 0 1 1 0 0 0 0
.x .x3.o .. .. ♦ 0 6 | 0 0 3 6 0 | 0 0 0 3 0 2 0 0 | * * * * 64 * * * * * * | 0 0 0 0 0 1 1 0 0
.x .x .. .. .x ♦ 0 8 | 0 0 4 4 4 | 0 0 0 2 2 0 2 0 | * * * * * 96 * * * * * | 0 0 0 0 0 0 1 1 0
.x .. .. .o4.x ♦ 0 8 | 0 0 4 0 8 | 0 0 0 0 4 0 0 2 | * * * * * * 48 * * * * | 0 0 0 0 0 0 0 1 1
.. .x3.o3.o .. ♦ 0 4 | 0 0 0 6 0 | 0 0 0 0 0 4 0 0 | * * * * * * * 32 * * * | 0 1 0 0 0 1 0 0 0
.. .x3.o .. .x ♦ 0 6 | 0 0 0 6 3 | 0 0 0 0 0 2 3 0 | * * * * * * * * 64 * * | 0 0 1 0 0 0 1 0 0
.. .x .. .o4.x ♦ 0 8 | 0 0 0 4 8 | 0 0 0 0 0 0 4 2 | * * * * * * * * * 48 * | 0 0 0 1 0 0 0 1 0
.. .. .o3.o4.x ♦ 0 8 | 0 0 0 0 12 | 0 0 0 0 0 0 0 6 | * * * * * * * * * * 16 | 0 0 0 0 1 0 0 0 1
-------------------+--------+-------------------+-----------------------------+------------------------------------+-------------------------
.. o.3o.3o.4x. ♦ 16 0 | 32 0 0 0 0 | 24 0 0 0 0 0 0 0 | 8 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * * *
.. ox3oo3oo ..&#x ♦ 1 4 | 0 4 0 6 0 | 0 6 0 0 0 4 0 0 | 0 4 0 0 0 0 0 1 0 0 0 | * 32 * * * * * * *
.. ox3oo .. xx&#x ♦ 2 6 | 1 6 0 6 3 | 0 6 3 0 0 2 3 0 | 0 2 3 0 0 0 0 0 1 0 0 | * * 64 * * * * * *
.. ox .. oo4xx&#x ♦ 4 8 | 4 8 0 4 8 | 1 4 8 0 0 0 4 2 | 0 0 4 2 0 0 0 0 0 1 0 | * * * 48 * * * * *
.. .. oo3oo4xx&#x ♦ 8 8 | 12 8 0 0 12 | 6 0 12 0 0 0 0 6 | 1 0 0 6 0 0 0 0 0 0 1 | * * * * 16 * * * *
.x .x3.o3.o .. ♦ 0 8 | 0 0 4 12 0 | 0 0 0 6 0 8 0 0 | 0 0 0 0 4 0 0 2 0 0 0 | * * * * * 16 * * *
.x .x3.o .. .x ♦ 0 12 | 0 0 6 12 6 | 0 0 0 6 3 4 6 0 | 0 0 0 0 2 3 0 0 2 0 0 | * * * * * * 32 * *
.x .x .. .o4.x ♦ 0 16 | 0 0 8 8 16 | 0 0 0 4 8 0 8 4 | 0 0 0 0 0 4 2 0 0 2 0 | * * * * * * * 24 *
.x .. .o3.o4.x ♦ 0 16 | 0 0 8 0 24 | 0 0 0 0 12 0 0 12 | 0 0 0 0 0 0 6 0 0 0 2 | * * * * * * * * 8
xo4xx ox3oo4xx&#zx → height = 0
o.4o. o.3o.4o. | 64 * | 1 1 3 3 0 0 0 | 3 3 3 3 3 3 6 0 0 0 0 0 0 | 3 3 1 3 6 3 6 1 3 3 0 0 0 0 0 | 1 1 1 3 3 1 3 3 0 0 0
.o4.o .o3.o4.o | * 96 | 0 0 0 2 2 2 2 | 0 0 0 1 2 4 4 1 4 4 1 2 1 | 0 0 0 2 2 4 4 2 4 2 2 2 2 4 2 | 0 0 1 2 1 2 4 2 1 2 1
-------------------+-------+-----------------------+------------------------------------------+---------------------------------------------+-----------------------------
x. .. .. .. .. | 2 0 | 32 * * * * * * | 3 0 0 3 0 0 0 0 0 0 0 0 0 | 3 0 0 3 6 0 0 0 0 0 0 0 0 0 0 | 1 0 1 3 3 0 0 0 0 0 0
.. x. .. .. .. | 2 0 | * 32 * * * * * | 0 3 0 0 3 0 0 0 0 0 0 0 0 | 0 3 0 0 0 3 6 0 0 0 0 0 0 0 0 | 0 1 0 0 0 1 3 3 0 0 0
.. .. .. .. x. | 2 0 | * * 96 * * * * | 1 1 2 0 0 0 2 0 0 0 0 0 0 | 2 2 1 0 2 0 2 0 1 2 0 0 0 0 0 | 1 1 0 1 2 0 1 2 0 0 0
oo4oo oo3oo4oo&#x | 1 1 | * * * 192 * * * | 0 0 0 1 1 2 2 0 0 0 0 0 0 | 0 0 0 2 2 2 2 1 2 1 0 0 0 0 0 | 0 0 1 2 1 1 2 1 0 0 0
.. .x .. .. .. | 0 2 | * * * * 96 * * | 0 0 0 0 1 0 0 1 2 2 0 0 0 | 0 0 0 0 0 2 2 0 0 0 2 2 1 2 1 | 0 0 0 0 0 1 2 1 1 2 1
.. .. .x .. .. | 0 2 | * * * * * 96 * | 0 0 0 0 0 2 0 0 2 0 1 1 0 | 0 0 0 1 0 2 0 2 2 0 1 0 2 2 0 | 0 0 1 1 0 2 2 0 1 1 0
.. .. .. .. .x | 0 2 | * * * * * * 96 | 0 0 0 0 0 0 2 0 0 2 0 1 1 | 0 0 0 0 1 0 2 0 2 2 0 1 0 2 2 | 0 0 0 1 1 0 2 2 0 1 1
-------------------+-------+-----------------------+------------------------------------------+---------------------------------------------+-----------------------------
x. .. .. .. x. | 4 0 | 2 0 2 0 0 0 0 | 48 * * * * * * * * * * * * | 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 2 0 0 0 0 0 0
.. x. .. .. x. | 4 0 | 0 2 2 0 0 0 0 | * 48 * * * * * * * * * * * | 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 | 0 1 0 0 0 0 1 2 0 0 0
.. .. .. o.4x. | 4 0 | 0 0 4 0 0 0 0 | * * 48 * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 | 1 1 0 0 1 0 0 1 0 0 0
xo .. .. .. ..&#x | 2 1 | 1 0 0 2 0 0 0 | * * * 96 * * * * * * * * * | 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 | 0 0 1 2 1 0 0 0 0 0 0
.. xx .. .. ..&#x | 2 2 | 0 1 0 2 1 0 0 | * * * * 96 * * * * * * * * | 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 2 1 0 0 0
.. .. ox .. ..&#x | 1 2 | 0 0 0 2 0 1 0 | * * * * * 192 * * * * * * * | 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 | 0 0 1 1 0 1 1 0 0 0 0
.. .. .. .. xx&#x | 2 2 | 0 0 1 2 0 0 1 | * * * * * * 192 * * * * * * | 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 | 0 0 0 1 1 0 1 1 0 0 0
.o4.x .. .. .. | 0 4 | 0 0 0 0 4 0 0 | * * * * * * * 24 * * * * * | 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
.. .x .x .. .. | 0 4 | 0 0 0 0 2 2 0 | * * * * * * * * 96 * * * * | 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 | 0 0 0 0 0 1 1 0 1 1 0
.. .x .. .. .x | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * * 96 * * * | 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 | 0 0 0 0 0 0 1 1 0 1 1
.. .. .x3.o .. | 0 3 | 0 0 0 0 0 3 0 | * * * * * * * * * * 32 * * | 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 | 0 0 1 0 0 2 0 0 1 0 0
.. .. .x .. .x | 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * * * * 48 * | 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 | 0 0 0 1 0 0 2 0 0 1 0
.. .. .. .o4.x | 0 4 | 0 0 0 0 0 0 4 | * * * * * * * * * * * * 24 | 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 | 0 0 0 0 1 0 0 2 0 0 1
-------------------+-------+-----------------------+------------------------------------------+---------------------------------------------+-----------------------------
x. .. .. o.4x. ♦ 8 0 | 4 0 8 0 0 0 0 | 4 0 2 0 0 0 0 0 0 0 0 0 0 | 24 * * * * * * * * * * * * * * | 1 0 0 0 1 0 0 0 0 0 0
.. x. .. o.4x. ♦ 8 0 | 0 4 8 0 0 0 0 | 0 4 2 0 0 0 0 0 0 0 0 0 0 | * 24 * * * * * * * * * * * * * | 0 1 0 0 0 0 0 1 0 0 0
.. .. o.3o.4x. ♦ 8 0 | 0 0 12 0 0 0 0 | 0 0 6 0 0 0 0 0 0 0 0 0 0 | * * 8 * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0
xo .. ox .. ..&#x ♦ 2 2 | 1 0 0 4 0 1 0 | 0 0 0 2 0 2 0 0 0 0 0 0 0 | * * * 96 * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0 0
xo .. .. .. xx&#x ♦ 4 2 | 2 0 2 4 0 0 1 | 1 0 0 2 0 0 2 0 0 0 0 0 0 | * * * * 96 * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 0
.. xx ox .. ..&#x ♦ 2 4 | 0 1 0 4 2 2 0 | 0 0 0 0 2 2 0 0 1 0 0 0 0 | * * * * * 96 * * * * * * * * * | 0 0 0 0 0 1 1 0 0 0 0
.. xx .. .. xx&#x ♦ 4 4 | 0 2 2 4 2 0 2 | 0 1 0 0 2 0 2 0 0 1 0 0 0 | * * * * * * 96 * * * * * * * * | 0 0 0 0 0 0 1 1 0 0 0
.. .. ox3oo ..&#x ♦ 1 3 | 0 0 0 3 0 3 0 | 0 0 0 0 0 3 0 0 0 0 1 0 0 | * * * * * * * 64 * * * * * * * | 0 0 1 0 0 1 0 0 0 0 0
.. .. ox .. xx&#x ♦ 2 4 | 0 0 1 4 0 2 2 | 0 0 0 0 0 2 2 0 0 0 0 1 0 | * * * * * * * * 96 * * * * * * | 0 0 0 1 0 0 1 0 0 0 0
.. .. .. oo4xx&#x ♦ 4 4 | 0 0 4 4 0 0 4 | 0 0 1 0 0 0 4 0 0 0 0 0 1 | * * * * * * * * * 48 * * * * * | 0 0 0 0 1 0 0 1 0 0 0
.o4.x .x .. .. ♦ 0 8 | 0 0 0 0 8 4 0 | 0 0 0 0 0 0 0 2 4 0 0 0 0 | * * * * * * * * * * 24 * * * * | 0 0 0 0 0 0 0 0 1 1 0
.o4.x .. .. .x ♦ 0 8 | 0 0 0 0 8 0 4 | 0 0 0 0 0 0 0 2 0 4 0 0 0 | * * * * * * * * * * * 24 * * * | 0 0 0 0 0 0 0 0 0 1 1
.. .x .x3.o .. ♦ 0 6 | 0 0 0 0 3 6 0 | 0 0 0 0 0 0 0 0 3 0 2 0 0 | * * * * * * * * * * * * 32 * * | 0 0 0 0 0 1 0 0 1 0 0
.. .x .x .. .x ♦ 0 8 | 0 0 0 0 4 4 4 | 0 0 0 0 0 0 0 0 2 2 0 2 0 | * * * * * * * * * * * * * 48 * | 0 0 0 0 0 0 1 0 0 1 0
.. .x .. .o4.x ♦ 0 8 | 0 0 0 0 4 0 8 | 0 0 0 0 0 0 0 0 0 4 0 0 2 | * * * * * * * * * * * * * * 24 | 0 0 0 0 0 0 0 1 0 0 1
-------------------+-------+-----------------------+------------------------------------------+---------------------------------------------+-----------------------------
x. .. o.3o.4x. ♦ 16 0 | 8 0 24 0 0 0 0 | 12 0 12 0 0 0 0 0 0 0 0 0 0 | 6 0 2 0 0 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * *
.. x. o.3o.4x. ♦ 16 0 | 0 8 24 0 0 0 0 | 0 12 12 0 0 0 0 0 0 0 0 0 0 | 0 6 2 0 0 0 0 0 0 0 0 0 0 0 0 | * 4 * * * * * * * * *
xo .. ox3oo ..&#x ♦ 2 3 | 1 0 0 6 0 3 0 | 0 0 0 3 0 6 0 0 0 0 1 0 0 | 0 0 0 3 0 0 0 2 0 0 0 0 0 0 0 | * * 32 * * * * * * * *
xo .. ox .. xx&#x ♦ 4 4 | 2 0 2 8 0 2 2 | 1 0 0 4 0 4 4 0 0 0 0 1 0 | 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 | * * * 48 * * * * * * *
xo .. .. oo4xx&#x ♦ 8 4 | 4 0 8 8 0 0 4 | 4 0 2 4 0 0 8 0 0 0 0 0 1 | 1 0 0 0 4 0 0 0 0 2 0 0 0 0 0 | * * * * 24 * * * * * *
.. xx ox3oo ..&#x ♦ 2 6 | 0 1 0 6 3 6 0 | 0 0 0 0 3 6 0 0 3 0 2 0 0 | 0 0 0 0 0 3 0 2 0 0 0 0 1 0 0 | * * * * * 32 * * * * *
.. xx ox .. xx&#x ♦ 4 8 | 0 2 2 8 4 4 4 | 0 1 0 0 4 4 4 0 2 2 0 2 0 | 0 0 0 0 0 2 2 0 2 0 0 0 0 1 0 | * * * * * * 48 * * * *
.. xx .. oo4xx&#x ♦ 8 8 | 0 4 8 8 4 0 8 | 0 4 2 0 4 0 8 0 0 4 0 0 2 | 0 1 0 0 0 0 4 0 0 2 0 0 0 0 1 | * * * * * * * 24 * * *
.o4.x .x3.o .. ♦ 0 12 | 0 0 0 0 12 12 0 | 0 0 0 0 0 0 0 3 12 0 4 0 0 | 0 0 0 0 0 0 0 0 0 0 3 0 4 0 0 | * * * * * * * * 8 * *
.o4.x .x .. .x ♦ 0 16 | 0 0 0 0 16 8 8 | 0 0 0 0 0 0 0 4 8 8 0 4 0 | 0 0 0 0 0 0 0 0 0 0 2 2 0 4 0 | * * * * * * * * * 12 *
.o4.x .. .o4.x ♦ 0 16 | 0 0 0 0 16 0 16 | 0 0 0 0 0 0 0 4 0 16 0 0 4 | 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 | * * * * * * * * * * 6