| Acronym | ... |
| Name | hexastratic ike-first cap of rectified hexacosachoron |
| Circumradius | sqrt[5+2 sqrt(5)] = 3.077684 |
|
Lace city in approx. ASCII-art |
o5x
o5o x5x
f5o F=ff=x+f=2x+v,
o5x V=F+v=2f=2x+2v
o5F
f5x
x5x
x5o o5F
F5o o5V
o5o f5f
o5f
x5f
x5o V5o
x5F
F5o
x5x f5f
o5F
F5x
o5x o5V
f5x
f5o
o5o f5f
o5F V5o
o5x F5o
x5x
x5f
F5o
x5o
o5f
o5o x5x
x5o
|
x3o o3f f3o o3x
o3x x3f F3o f3f o3F f3x x3o
F=ff=x+f=2x+v,
V=F+v=2f=2x+2v,
x3o x3f oF3Vx f3F V3x x3V F3f Vx3oF f3x o3x A=F+x=3x+v,
B=fff=A+v=3x+2v
F3o o3B B3o o3F
o3f f3F B3o F3F o3B F3f f3o
f3o f3f V3x o3B f3A B3x x3B A3f B3o x3V f3f o3f
o3x o3F x3V F3F B3x V3F F3V x3B F3F V3x F3o x3o
| |
| Face vector | 264, 1140, 1124, 248 |
| Confer |
Incidence matrix according to Dynkin symbol
xoxFofo3oxoofox5ooxooxx&#xt → height(1,2) = height(3,4) = height(5,6) = (sqrt(5)-1)/4 = 0.309017
height(2,3) = height(6,7) = 1/2
height(4,5) = (3-sqrt(5))/4 = 0.190983
o......3o......5o...... | 12 * * * * * * ♦ 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 5 1 0 0 0 0 0 0 0 0
.o.....3.o.....5.o..... | * 30 * * * * * ♦ 0 2 4 4 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 4 2 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 2 2 1 0 0 0 0 0 0
..o....3..o....5..o.... | * * 60 * * * * ♦ 0 0 0 2 2 2 1 2 1 0 0 0 0 0 0 0 | 0 0 0 0 2 1 2 1 2 2 2 1 2 0 0 0 0 0 0 0 0 0 | 0 0 1 1 2 2 1 0 0 0 0
...o...3...o...5...o... | * * * 12 * * * ♦ 0 0 0 0 0 0 5 0 0 5 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 5 0 0 5 0 5 0 0 0 0 0 0 0 0 | 0 0 1 0 0 5 0 1 0 0 0
....o..3....o..5....o.. | * * * * 30 * * ♦ 0 0 0 0 0 0 0 4 0 0 4 2 0 0 0 0 | 0 0 0 0 0 0 0 0 0 2 2 0 4 0 2 1 4 0 0 0 0 0 | 0 0 0 0 1 2 2 0 2 0 0
.....o.3.....o.5.....o. | * * * * * 60 * | 0 0 0 0 0 0 0 0 1 1 2 0 2 2 0 0 | 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 2 1 1 2 0 0 | 0 0 0 0 0 2 1 1 2 1 0
......o3......o5......o | * * * * * * 60 | 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 2 1 2 | 0 0 0 0 0 0 1 0 2 2 1
----------------------------+----------------------+-----------------------------------------------------+---------------------------------------------------------------------+-------------------------------
x...... ....... ....... | 2 0 0 0 0 0 0 | 30 * * * * * * * * * * * * * * * | 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 0 0 0 0 0
oo.....3oo.....5oo.....&#x | 1 1 0 0 0 0 0 | * 60 * * * * * * * * * * * * * * | 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 1 0 0 0 0 0 0 0 0
....... .x..... ....... | 0 2 0 0 0 0 0 | * * 60 * * * * * * * * * * * * * | 0 0 1 1 0 1 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
.oo....3.oo....5.oo....&#x | 0 1 1 0 0 0 0 | * * * 120 * * * * * * * * * * * * | 0 0 0 0 1 1 1 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
..x.... ....... ....... | 0 0 2 0 0 0 0 | * * * * 60 * * * * * * * * * * * | 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 1 0 1 0 0 0 0
....... ....... ..x.... | 0 0 2 0 0 0 0 | * * * * * 60 * * * * * * * * * * | 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 1 0 0 0 0 0
..oo...3..oo...5..oo...&#x | 0 0 1 1 0 0 0 | * * * * * * 60 * * * * * * * * * | 0 0 0 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 0 2 0 0 0 0 0
..o.o..3..o.o..5..o.o..&#x | 0 0 1 0 1 0 0 | * * * * * * * 120 * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 | 0 0 0 0 1 1 1 0 0 0 0
..o..o.3..o..o.5..o..o.&#x | 0 0 1 0 0 1 0 | * * * * * * * * 60 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 2 1 0 0 0 0
...o.o.3...o.o.5...o.o.&#x | 0 0 0 1 0 1 0 | * * * * * * * * * 60 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 0 0 0 | 0 0 0 0 0 2 0 1 0 0 0
....oo.3....oo.5....oo.&#x | 0 0 0 0 1 1 0 | * * * * * * * * * * 120 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 | 0 0 0 0 0 1 1 0 1 0 0
....o.o3....o.o5....o.o&#x | 0 0 0 0 1 0 1 | * * * * * * * * * * * 60 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 | 0 0 0 0 0 0 1 0 2 0 0
....... ....... .....x. | 0 0 0 0 0 2 0 | * * * * * * * * * * * * 60 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 | 0 0 0 0 0 1 0 1 1 1 0
.....oo3.....oo5.....oo&#x | 0 0 0 0 0 1 1 | * * * * * * * * * * * * * 120 * * | 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 0 1 0 1 1 0
....... ......x ....... | 0 0 0 0 0 0 2 | * * * * * * * * * * * * * * 60 * | 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 1 0 0 1 1
....... ....... ......x | 0 0 0 0 0 0 2 | * * * * * * * * * * * * * * * 30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 | 0 0 0 0 0 0 0 0 2 2 1
----------------------------+----------------------+-----------------------------------------------------+---------------------------------------------------------------------+-------------------------------
x......3o...... ....... | 3 0 0 0 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 20 * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0
xo..... ....... .......&#x | 2 1 0 0 0 0 0 | 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 30 * * * * * * * * * * * * * * * * * * * * | 0 2 0 0 0 0 0 0 0 0 0
....... ox..... .......&#x | 1 2 0 0 0 0 0 | 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 60 * * * * * * * * * * * * * * * * * * * | 0 1 1 0 0 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 0 0 0 0 0 0 | * * * 20 * * * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0
.ox.... ....... .......&#x | 0 1 2 0 0 0 0 | 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 | * * * * 60 * * * * * * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 0
....... .xo.... .......&#x | 0 2 1 0 0 0 0 | 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 60 * * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0 0
....... ....... .ox....&#x | 0 1 2 0 0 0 0 | 0 0 0 2 0 1 0 0 0 0 0 0 0 0 0 0 | * * * * * * 60 * * * * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 0
..x....3..o.... ....... | 0 0 3 0 0 0 0 | 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 20 * * * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 0 0
....... ....... ..xo...&#x | 0 0 2 1 0 0 0 | 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 | * * * * * * * * 60 * * * * * * * * * * * * * | 0 0 1 0 0 1 0 0 0 0 0
..x.o.. ....... .......&#x | 0 0 2 0 1 0 0 | 0 0 0 0 1 0 0 2 0 0 0 0 0 0 0 0 | * * * * * * * * * 60 * * * * * * * * * * * * | 0 0 0 0 1 0 1 0 0 0 0
....... ....... ..x.o..&#x | 0 0 2 0 1 0 0 | 0 0 0 0 0 1 0 2 0 0 0 0 0 0 0 0 | * * * * * * * * * * 60 * * * * * * * * * * * | 0 0 0 0 1 1 0 0 0 0 0
..oo.o.3..oo.o.5..oo.o.&#x | 0 0 1 1 0 1 0 | 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 | * * * * * * * * * * * 60 * * * * * * * * * * | 0 0 0 0 0 2 0 0 0 0 0
..o.oo.3..o.oo.5..o.oo.&#x | 0 0 1 0 1 1 0 | 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 | * * * * * * * * * * * * 120 * * * * * * * * * | 0 0 0 0 0 1 1 0 0 0 0
....... ....... ...o.x.&#x | 0 0 0 1 0 2 0 | 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 0 | * * * * * * * * * * * * * 60 * * * * * * * * | 0 0 0 0 0 1 0 1 0 0 0
....... ....... ....ox.&#x | 0 0 0 0 1 2 0 | 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 | * * * * * * * * * * * * * * 60 * * * * * * * | 0 0 0 0 0 1 0 0 1 0 0
....... ....... ....o.x&#x | 0 0 0 0 1 0 2 | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 | * * * * * * * * * * * * * * * 30 * * * * * * | 0 0 0 0 0 0 0 0 2 0 0
....ooo3....ooo5....ooo&#x | 0 0 0 0 1 1 1 | 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 | * * * * * * * * * * * * * * * * 120 * * * * * | 0 0 0 0 0 0 1 0 1 0 0
....... .....o.5.....x. | 0 0 0 0 0 5 0 | 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 | * * * * * * * * * * * * * * * * * 12 * * * * | 0 0 0 0 0 0 0 1 0 1 0
....... .....ox .......&#x | 0 0 0 0 0 1 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 | * * * * * * * * * * * * * * * * * * 60 * * * | 0 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 1 2 0 1 | * * * * * * * * * * * * * * * * * * * 60 * * | 0 0 0 0 0 0 0 0 1 1 0
......o3......x ....... | 0 0 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 | * * * * * * * * * * * * * * * * * * * * 20 * | 0 0 0 0 0 0 1 0 0 0 1
....... ......x5......x | 0 0 0 0 0 0 10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * * * * * * * * * * * * * * 12 | 0 0 0 0 0 0 0 0 0 1 1
----------------------------+----------------------+-----------------------------------------------------+---------------------------------------------------------------------+-------------------------------
x......3o......5o...... ♦ 12 0 0 0 0 0 0 | 30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * *
xo.....3ox..... .......&#x ♦ 3 3 0 0 0 0 0 | 3 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 20 * * * * * * * * *
....... oxoo...5ooxo...&#xt ♦ 1 5 5 1 0 0 0 | 0 5 5 10 0 5 5 0 0 0 0 0 0 0 0 0 | 0 0 5 0 0 5 5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 12 * * * * * * * *
.ox....3.xo.... .......&#x ♦ 0 3 3 0 0 0 0 | 0 0 3 6 3 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 3 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 20 * * * * * * *
.ox.o.. ....... .ox.o..&#xt ♦ 0 1 4 0 1 0 0 | 0 0 0 4 2 2 0 4 0 0 0 0 0 0 0 0 | 0 0 0 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 | * * * * 30 * * * * * *
....... ....... ..xoox.&#xr ♦ 0 0 2 1 1 2 0 | 0 0 0 0 0 1 2 2 2 2 2 0 1 0 0 0 | 0 0 0 0 0 0 0 0 1 0 1 2 2 1 1 0 0 0 0 0 0 0 | * * * * * 60 * * * * * cycle: (CEFD)
..x.ofo3..o.fox .......&#xt ♦ 0 0 3 0 3 3 3 | 0 0 0 0 3 0 0 6 3 0 6 3 0 6 3 0 | 0 0 0 0 0 0 0 1 0 3 0 0 6 0 0 0 6 0 3 0 1 0 | * * * * * * 20 * * * *
....... ...o.o.5...o.x.&#xt ♦ 0 0 0 1 0 5 0 | 0 0 0 0 0 0 0 0 0 5 0 0 5 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 1 0 0 0 0 | * * * * * * * 12 * * *
....... ....... ....oxx&#x ♦ 0 0 0 0 1 2 2 | 0 0 0 0 0 0 0 0 0 0 2 2 1 2 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 1 0 0 | * * * * * * * * 60 * *
....... .....ox5.....xx&#x ♦ 0 0 0 0 0 5 10 | 0 0 0 0 0 0 0 0 0 0 0 0 5 10 5 5 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 0 1 | * * * * * * * * * 12 *
......o3......x5......x ♦ 0 0 0 0 0 0 60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 60 30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20 12 | * * * * * * * * * * 1
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