| Acronym | ... |
| Name |
xfooo5xofxo oxofx5ooxox&#zx, icosapentadiminished ex |
|
Lace city in approx. ASCII-art |
o5o o5o
o5x E
D
o5o o5o
f5o
o5f B o5f
C
o5x o5x
f5o f5o
o5o x5x o5o
A
o5f o5f
f5o f5o
o5f
o5o o5o
o5x o5x
o5o o5o
|
o5o o5o
x5o A
B
o5x o5x
o5o C o5o
f5o f5o
D
x5o x5o
o5o x5x o5o
E
f5o f5o
o5x o5x
f5o
o5o o5o
x5o x5o
o5x
o5o o5o
| |
| Face vector | 95, 445, 600, 250 |
| Confer |
|
The relation to ex runs as follows: ex wrt. its pedipic subsymmetry I2(5)×I2(5) can be given as xfooxo5xofxoo oxofox5ooxofx&#zx. This CRF then is obtained therefrom by omitting the fifth layer.
This polychoron can be further diminished in a CRF way by omitting the first layer additionally, then resulting in fooo5ofxo xofx5oxox&#zx.
Incidence matrix according to Dynkin symbol
xfooo 5 xofxo oxofx 5 ooxox &#zx → height = 0 o.... 5 o.... o.... 5 o.... | 10 * * * * | 1 1 5 5 0 0 0 0 0 0 0 0 0 | 5 5 5 5 10 0 0 0 0 0 0 0 0 | 5 5 5 5 0 0 0 A .o... 5 .o... .o... 5 .o... | * 25 * * * | 0 0 2 0 2 4 2 0 0 0 0 0 0 | 1 4 0 0 4 4 2 4 1 0 0 0 0 | 2 0 4 2 2 2 0 B ..o.. 5 ..o.. ..o.. 5 ..o.. | * * 25 * * | 0 0 0 2 0 4 0 2 2 0 0 0 0 | 0 0 1 4 4 2 4 4 0 1 2 0 0 | 0 2 2 4 2 4 0 C ...o. 5 ...o. ...o. 5 ...o. | * * * 25 * | 0 0 0 0 0 0 2 0 2 2 2 0 0 | 0 0 0 0 0 0 0 4 2 2 1 4 1 | 0 0 0 0 4 2 2 D ....o 5 ....o ....o 5 ....o | * * * * 10 | 0 0 0 0 0 0 0 0 0 0 5 1 1 | 0 0 0 0 0 0 0 0 0 5 0 5 5 | 0 0 0 0 5 0 5 E ----------------------------------+----------------+-------------------------------------+------------------------------------------+--------------------- x.... ..... ..... ..... | 2 0 0 0 0 | 5 * * * * * * * * * * * * | 0 0 5 0 0 0 0 0 0 0 0 0 0 | 0 5 0 0 0 0 0 ..... x.... ..... ..... | 2 0 0 0 0 | * 5 * * * * * * * * * * * | 5 0 0 0 0 0 0 0 0 0 0 0 0 | 5 0 0 0 0 0 0 oo... 5 oo... oo... 5 oo... &#x | 1 1 0 0 0 | * * 50 * * * * * * * * * * | 1 2 0 0 2 0 0 0 0 0 0 0 0 | 2 0 2 1 0 0 0 o.o.. 5 o.o.. o.o.. 5 o.o.. &#x | 1 0 1 0 0 | * * * 50 * * * * * * * * * | 0 0 1 2 2 0 0 0 0 0 0 0 0 | 0 2 1 2 0 0 0 ..... ..... .x... ..... | 0 2 0 0 0 | * * * * 25 * * * * * * * * | 0 2 0 0 0 2 0 0 0 0 0 0 0 | 1 0 2 0 1 0 0 .oo.. 5 .oo.. .oo.. 5 .oo.. &#x | 0 1 1 0 0 | * * * * * 100 * * * * * * * | 0 0 0 0 1 1 1 1 0 0 0 0 0 | 0 0 1 1 1 1 0 .o.o. 5 .o.o. .o.o. 5 .o.o. &#x | 0 1 0 1 0 | * * * * * * 50 * * * * * * | 0 0 0 0 0 0 0 2 1 0 0 0 0 | 0 0 0 0 2 1 0 ..... ..... ..... ..x.. | 0 0 2 0 0 | * * * * * * * 25 * * * * * | 0 0 0 2 0 0 2 0 0 0 1 0 0 | 0 1 0 2 0 2 0 ..oo. 5 ..oo. ..oo. 5 ..oo. &#x | 0 0 1 1 0 | * * * * * * * * 50 * * * * | 0 0 0 0 0 0 0 2 0 1 1 0 0 | 0 0 0 0 2 2 0 ..... ...x. ..... ..... | 0 0 0 2 0 | * * * * * * * * * 25 * * * | 0 0 0 0 0 0 0 0 1 0 0 2 0 | 0 0 0 0 2 0 1 ...oo 5 ...oo ...oo 5 ...oo &#x | 0 0 0 1 1 | * * * * * * * * * * 50 * * | 0 0 0 0 0 0 0 0 0 1 0 2 1 | 0 0 0 0 2 0 2 ..... ..... ....x ..... | 0 0 0 0 2 | * * * * * * * * * * * 5 * | 0 0 0 0 0 0 0 0 0 5 0 0 0 | 0 0 0 0 5 0 0 ..... ..... ..... ....x | 0 0 0 0 2 | * * * * * * * * * * * * 5 | 0 0 0 0 0 0 0 0 0 0 0 0 5 | 0 0 0 0 0 0 5 ----------------------------------+----------------+-------------------------------------+------------------------------------------+--------------------- ..... xo... ..... ..... &#x | 2 1 0 0 0 | 0 1 2 0 0 0 0 0 0 0 0 0 0 | 25 * * * * * * * * * * * * | 2 0 0 0 0 0 0 ..... ..... ox... ..... &#x | 1 2 0 0 0 | 0 0 2 0 1 0 0 0 0 0 0 0 0 | * 50 * * * * * * * * * * * | 1 0 1 0 0 0 0 x.o.. ..... ..... ..... &#x | 2 0 1 0 0 | 1 0 0 2 0 0 0 0 0 0 0 0 0 | * * 25 * * * * * * * * * * | 0 2 0 0 0 0 0 ..... ..... ..... o.x.. &#x | 1 0 2 0 0 | 0 0 0 2 0 0 0 1 0 0 0 0 0 | * * * 50 * * * * * * * * * | 0 1 0 1 0 0 0 ooo.. 5 ooo.. ooo.. 5 ooo.. &#x | 1 1 1 0 0 | 0 0 1 1 0 1 0 0 0 0 0 0 0 | * * * * 100 * * * * * * * * | 0 0 1 1 0 0 0 ..... ..... .xo.. ..... &#x | 0 2 1 0 0 | 0 0 0 0 1 2 0 0 0 0 0 0 0 | * * * * * 50 * * * * * * * | 0 0 1 0 1 0 0 ..... ..... ..... .ox.. &#x | 0 1 2 0 0 | 0 0 0 0 0 2 0 1 0 0 0 0 0 | * * * * * * 50 * * * * * * | 0 0 0 1 0 1 0 .ooo. 5 .ooo. .ooo. 5 .ooo. &#x | 0 1 1 1 0 | 0 0 0 0 0 1 1 0 1 0 0 0 0 | * * * * * * * 100 * * * * * | 0 0 0 0 1 1 0 ..... .o.x. ..... ..... &#x | 0 1 0 2 0 | 0 0 0 0 0 0 2 0 0 1 0 0 0 | * * * * * * * * 25 * * * * | 0 0 0 0 2 0 0 ..... ..... ..ofx ..... &#xt | 0 0 1 2 2 | 0 0 0 0 0 0 0 0 2 0 2 1 0 | * * * * * * * * * 25 * * * | 0 0 0 0 2 0 0 ..... ..... ..... ..xo. &#x | 0 0 2 1 0 | 0 0 0 0 0 0 0 1 2 0 0 0 0 | * * * * * * * * * * 25 * * | 0 0 0 0 0 2 0 ..... ...xo ..... ..... &#x | 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 1 2 0 0 | * * * * * * * * * * * 50 * | 0 0 0 0 1 0 1 ..... ..... ..... ...ox &#x | 0 0 0 1 2 | 0 0 0 0 0 0 0 0 0 0 2 0 1 | * * * * * * * * * * * * 25 | 0 0 0 0 0 0 2 ----------------------------------+----------------+-------------------------------------+------------------------------------------+--------------------- ..... xo... ox... ..... &#x ♦ 2 2 0 0 0 | 0 1 4 0 1 0 0 0 0 0 0 0 0 | 2 2 0 0 0 0 0 0 0 0 0 0 0 | 25 * * * * * * x.o.. ..... ..... o.x.. &#x ♦ 2 0 2 0 0 | 1 0 0 4 0 0 0 1 0 0 0 0 0 | 0 0 2 2 0 0 0 0 0 0 0 0 0 | * 25 * * * * * ..... ..... oxo.. ..... &#x ♦ 1 2 1 0 0 | 0 0 2 1 1 2 0 0 0 0 0 0 0 | 0 1 0 0 2 1 0 0 0 0 0 0 0 | * * 50 * * * * ..... ..... ..... oox.. &#x ♦ 1 1 2 0 0 | 0 0 1 2 0 2 0 1 0 0 0 0 0 | 0 0 0 1 2 0 1 0 0 0 0 0 0 | * * * 50 * * * ..... .ofxo .xofx ..... &#xt ♦ 0 2 2 4 2 | 0 0 0 0 1 4 4 0 4 2 4 1 0 | 0 0 0 0 0 2 0 4 2 2 0 2 0 | * * * * 25 * * ..... ..... ..... .oxo. &#x ♦ 0 1 2 1 0 | 0 0 0 0 0 2 1 1 2 0 0 0 0 | 0 0 0 0 0 0 1 2 0 0 1 0 0 | * * * * * 50 * ..... ...xo ..... ...ox &#x ♦ 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 1 4 0 1 | 0 0 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * 25
© 2004-2024 | top of page |