Acronym cydadex Name cyclical decadiminishing of ex Circumradius (1+sqrt(5))/2 = 1.618034 Lace cityin approx. ASCII-art ``` o5x x5o x5o f5o o5f o5f o5x o5x f5o f5o x5x o5f o5f x5o x5o f5o f5o o5f o5x o5x x5o ``` ``` o5o o5o o5x x5o x5o o5o o5o f5o o5f o5f o5x o5x f5o f5o o5o o5o o5f o5f x5o x5o f5o f5o o5f o5o o5o o5x o5x x5o o5o o5o ``` Dihedral angles at {3} between tet and tet:   arccos[-(1+3 sqrt(5))/8] = 164.477512° at {3} between pap and tet:   arccos[-sqrt(5/8)] = 142.238756° at {5} between pap and pap:   144° Confer uniform relative: ex   gap   related CRFs: Fxxox5ofxfo xofox5oxofx&#zx

The great antiprism (gap) is a faceting of the hexacosachoron. The antiprism cells (pap) form 2 rings of 10 each. – This polychoron in contrast uses just a single such ring.

Incidence matrix according to Dynkin symbol

```fooxo5ofxoo xofox5oxofx&#zx   → all existing heights = 0

o....5o.... o....5o....     | 25  *  *  *  * |  2   4  2  2  0  0  0  0   0  0  0  0 0 0 | 1  4  2  1  2   4   4   4 0  0  0   0  0  0  0  0   0  0  0 |  2  2  4  2   4  0  0  0  0  0
.o...5.o... .o...5.o...     |  * 25  *  *  * |  0   4  0  0  2  2  2  0   0  0  0  0 0 0 | 0  2  4  0  0   4   4   0 1  2  1   4  0  0  0  0   0  0  0 |  2  4  2  0   4  2  0  0  0  0
..o..5..o.. ..o..5..o..     |  *  * 25  *  * ♦  0   0  2  0  0  2  0  2   4  2  0  0 0 0 | 0  0  0  2  0   4   0   4 0  1  0   4  2  4  4  1   4  0  0 |  0  2  0  4   4  2  2  4  2  0
...o.5...o. ...o.5...o.     |  *  *  * 25  * ♦  0   0  0  2  0  0  2  0   4  0  2  2 0 0 | 0  0  0  0  1   0   4   4 0  0  2   4  4  2  0  0   4  4  1 |  0  0  2  2   4  4  4  2  0  2
....o5....o ....o5....o     |  *  *  *  * 10 ♦  0   0  0  0  0  0  0  0   0  5  0  5 1 1 | 0  0  0  0  0   0   0   0 0  0  0   0  0  0  5  5  10  5  5 |  0  0  0  0   0  0  5  5  5  5
----------------------------+----------------+-------------------------------------------+-------------------------------------------------------------+-------------------------------
..... ..... x.... .....     |  2  0  0  0  0 | 25   *  *  *  *  *  *  *   *  *  *  * * * | 1  2  0  0  1   0   0   0 0  0  0   0  0  0  0  0   0  0  0 |  2  0  2  0   0  0  0  0  0  0
oo...5oo... oo...5oo...&#x  |  1  1  0  0  0 |  * 100  *  *  *  *  *  *   *  *  *  * * * | 0  1  1  0  0   1   1   0 0  0  0   0  0  0  0  0   0  0  0 |  1  1  1  0   1  0  0  0  0  0
o.o..5o.o.. o.o..5o.o..&#x  |  1  0  1  0  0 |  *   * 50  *  *  *  *  *   *  *  *  * * * | 0  0  0  1  0   2   0   2 0  0  0   0  0  0  0  0   0  0  0 |  0  1  0  2   2  0  0  0  0  0
o..o.5o..o. o..o.5o..o.&#x  |  1  0  0  1  0 |  *   *  * 50  *  *  *  *   *  *  *  * * * | 0  0  0  0  1   0   2   2 0  0  0   0  0  0  0  0   0  0  0 |  0  0  2  1   2  0  0  0  0  0
..... ..... ..... .x...     |  0  2  0  0  0 |  *   *  *  * 25  *  *  *   *  *  *  * * * | 0  0  2  0  0   0   0   0 1  1  0   0  0  0  0  0   0  0  0 |  2  2  0  0   0  0  0  0  0  0
.oo..5.oo.. .oo..5.oo..&#x  |  0  1  1  0  0 |  *   *  *  *  * 50  *  *   *  *  *  * * * | 0  0  0  0  0   2   0   0 0  1  0   2  0  0  0  0   0  0  0 |  0  2  0  0   2  1  0  0  0  0
.o.o.5.o.o. .o.o.5.o.o.&#x  |  0  1  0  1  0 |  *   *  *  *  *  * 50  *   *  *  *  * * * | 0  0  0  0  0   0   2   0 0  0  1   2  0  0  0  0   0  0  0 |  0  0  1  0   2  2  0  0  0  0
..... ..x.. ..... .....     |  0  0  2  0  0 |  *   *  *  *  *  *  * 25   *  *  *  * * * | 0  0  0  1  0   0   0   0 0  0  0   0  0  2  2  0   0  0  0 |  0  0  0  2   0  0  0  2  1  0
..oo.5..oo. ..oo.5..oo.&#x  |  0  0  1  1  0 |  *   *  *  *  *  *  *  * 100  *  *  * * * | 0  0  0  0  0   0   0   1 0  0  0   1  1  1  0  0   1  0  0 |  0  0  0  1   1  1  1  1  0  0
..o.o5..o.o ..o.o5..o.o&#x  |  0  0  1  0  1 |  *   *  *  *  *  *  *  *   * 50  *  * * * | 0  0  0  0  0   0   0   0 0  0  0   0  0  0  2  1   2  0  0 |  0  0  0  0   0  0  1  2  2  0
...x. ..... ..... .....     |  0  0  0  2  0 |  *   *  *  *  *  *  *  *   *  * 25  * * * | 0  0  0  0  0   0   0   0 0  0  1   0  2  0  0  0   0  2  0 |  0  0  0  0   0  2  2  0  0  1
...oo5...oo ...oo5...oo&#x  |  0  0  0  1  1 |  *   *  *  *  *  *  *  *   *  *  * 50 * * | 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  2  1  0  2
..... ..... ....x .....     |  0  0  0  0  2 |  *   *  *  *  *  *  *  *   *  *  *  * 5 * | 0  0  0  0  0   0   0   0 0  0  0   0  0  0  0  0   0  0  5 |  0  0  0  0   0  0  0  0  0  5
..... ..... ..... ....x     |  0  0  0  0  2 |  *   *  *  *  *  *  *  *   *  *  *  * * 5 | 0  0  0  0  0   0   0   0 0  0  0   0  0  0  0  5   0  0  0 |  0  0  0  0   0  0  0  0  5  0
----------------------------+----------------+-------------------------------------------+-------------------------------------------------------------+-------------------------------
..... ..... x....5o....     |  5  0  0  0  0 |  5   0  0  0  0  0  0  0   0  0  0  0 0 0 | 5  *  *  *  *   *   *   * *  *  *   *  *  *  *  *   *  *  * |  2  0  0  0   0  0  0  0  0  0
..... ..... xo... .....&#x  |  2  1  0  0  0 |  1   2  0  0  0  0  0  0   0  0  0  0 0 0 | * 50  *  *  *   *   *   * *  *  *   *  *  *  *  *   *  *  * |  1  0  1  0   0  0  0  0  0  0
..... ..... ..... ox...&#x  |  1  2  0  0  0 |  0   2  0  0  1  0  0  0   0  0  0  0 0 0 | *  * 50  *  *   *   *   * *  *  *   *  *  *  *  *   *  *  * |  1  1  0  0   0  0  0  0  0  0
..... o.x.. ..... .....&#x  |  1  0  2  0  0 |  0   0  2  0  0  0  0  1   0  0  0  0 0 0 | *  *  * 25  *   *   *   * *  *  *   *  *  *  *  *   *  *  * |  0  0  0  2   0  0  0  0  0  0
..... ..... x..o. .....&#x  |  2  0  0  1  0 |  1   0  0  2  0  0  0  0   0  0  0  0 0 0 | *  *  *  * 25   *   *   * *  *  *   *  *  *  *  *   *  *  * |  0  0  2  0   0  0  0  0  0  0
ooo..5ooo.. ooo..5ooo..&#x  |  1  1  1  0  0 |  0   1  1  0  0  1  0  0   0  0  0  0 0 0 | *  *  *  *  * 100   *   * *  *  *   *  *  *  *  *   *  *  * |  0  1  0  0   1  0  0  0  0  0
oo.o.5oo.o. oo.o.5oo.o.&#x  |  1  1  0  1  0 |  0   1  0  1  0  0  1  0   0  0  0  0 0 0 | *  *  *  *  *   * 100   * *  *  *   *  *  *  *  *   *  *  * |  0  0  1  0   1  0  0  0  0  0
o.oo.5o.oo. o.oo.5o.oo.&#x  |  1  0  1  1  0 |  0   0  1  1  0  0  0  0   1  0  0  0 0 0 | *  *  *  *  *   *   * 100 *  *  *   *  *  *  *  *   *  *  * |  0  0  0  1   1  0  0  0  0  0
..... ..... .o...5.x...     |  0  5  0  0  0 |  0   0  0  0  5  0  0  0   0  0  0  0 0 0 | *  *  *  *  *   *   *   * 5  *  *   *  *  *  *  *   *  *  * |  2  0  0  0   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 | *  *  *  *  *   *   *   * * 25  *   *  *  *  *  *   *  *  * |  0  2  0  0   0  0  0  0  0  0
.o.x. ..... ..... .....&#x  |  0  1  0  2  0 |  0   0  0  0  0  0  2  0   0  0  1  0 0 0 | *  *  *  *  *   *   *   * *  * 25   *  *  *  *  *   *  *  * |  0  0  0  0   0  2  0  0  0  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 0 | *  *  *  *  *   *   *   * *  *  * 100  *  *  *  *   *  *  * |  0  0  0  0   1  1  0  0  0  0
..ox. ..... ..... .....&#x  |  0  0  1  2  0 |  0   0  0  0  0  0  0  0   2  0  1  0 0 0 | *  *  *  *  *   *   *   * *  *  *   * 50  *  *  *   *  *  * |  0  0  0  0   0  1  1  0  0  0
..... ..xo. ..... .....&#x  |  0  0  2  1  0 |  0   0  0  0  0  0  0  1   2  0  0  0 0 0 | *  *  *  *  *   *   *   * *  *  *   *  * 50  *  *   *  *  * |  0  0  0  1   0  0  0  1  0  0
..... ..x.o ..... .....&#x  |  0  0  2  0  1 |  0   0  0  0  0  0  0  1   0  2  0  0 0 0 | *  *  *  *  *   *   *   * *  *  *   *  *  * 50  *   *  *  * |  0  0  0  0   0  0  0  1  1  0
..... ..... ..... ..o.x&#x  |  0  0  1  0  2 |  0   0  0  0  0  0  0  0   0  2  0  0 0 1 | *  *  *  *  *   *   *   * *  *  *   *  *  *  * 25   *  *  * |  0  0  0  0   0  0  0  0  2  0
..ooo5..ooo ..ooo5..ooo&#x  |  0  0  1  1  1 |  0   0  0  0  0  0  0  0   1  1  0  1 0 0 | *  *  *  *  *   *   *   * *  *  *   *  *  *  *  * 100  *  * |  0  0  0  0   0  0  1  1  0  0
...xo ..... ..... .....&#x  |  0  0  0  2  1 |  0   0  0  0  0  0  0  0   0  0  1  2 0 0 | *  *  *  *  *   *   *   * *  *  *   *  *  *  *  *   * 50  * |  0  0  0  0   0  0  1  0  0  1
..... ..... ...ox .....&#x  |  0  0  0  1  2 |  0   0  0  0  0  0  0  0   0  0  0  2 1 0 | *  *  *  *  *   *   *   * *  *  *   *  *  *  *  *   *  * 25 |  0  0  0  0   0  0  0  0  0  2
----------------------------+----------------+-------------------------------------------+-------------------------------------------------------------+-------------------------------
..... ..... xo...5ox...&#x  ♦  5  5  0  0  0 |  5  10  0  0  5  0  0  0   0  0  0  0 0 0 | 1  5  5  0  0   0   0   0 1  0  0   0  0  0  0  0   0  0  0 | 10  *  *  *   *  *  *  *  *  *
..... ..... ..... oxo..&#x  ♦  1  2  1  0  0 |  0   2  1  0  1  2  0  0   0  0  0  0 0 0 | 0  0  1  0  0   2   0   0 0  1  0   0  0  0  0  0   0  0  0 |  * 50  *  *   *  *  *  *  *  *
..... ..... xo.o. .....&#x  ♦  2  1  0  1  0 |  1   2  0  2  0  0  1  0   0  0  0  0 0 0 | 0  1  0  0  1   0   2   0 0  0  0   0  0  0  0  0   0  0  0 |  *  * 50  *   *  *  *  *  *  *
..... o.xo. ..... .....&#x  ♦  1  0  2  1  0 |  0   0  2  1  0  0  0  1   2  0  0  0 0 0 | 0  0  0  1  0   0   0   2 0  0  0   0  0  1  0  0   0  0  0 |  *  *  * 50   *  *  *  *  *  *
oooo.5oooo. oooo.5oooo.&#x  ♦  1  1  1  1  0 |  0   1  1  1  0  1  1  0   1  0  0  0 0 0 | 0  0  0  0  0   1   1   1 0  0  0   1  0  0  0  0   0  0  0 |  *  *  *  * 100  *  *  *  *  *
.oox. ..... ..... .....&#x  ♦  0  1  1  2  0 |  0   0  0  0  0  1  2  0   2  0  1  0 0 0 | 0  0  0  0  0   0   0   0 0  0  1   2  1  0  0  0   0  0  0 |  *  *  *  *   * 50  *  *  *  *
..oxo ..... ..... .....&#x  ♦  0  0  1  2  1 |  0   0  0  0  0  0  0  0   2  1  1  2 0 0 | 0  0  0  0  0   0   0   0 0  0  0   0  1  0  0  0   2  1  0 |  *  *  *  *   *  * 50  *  *  *
..... ..xoo ..... .....&#x  ♦  0  0  2  1  1 |  0   0  0  0  0  0  0  1   2  2  0  1 0 0 | 0  0  0  0  0   0   0   0 0  0  0   0  0  1  1  0   2  0  0 |  *  *  *  *   *  *  * 50  *  *
..... ..x.o ..... ..o.x&#x  ♦  0  0  2  0  2 |  0   0  0  0  0  0  0  1   0  4  0  0 0 1 | 0  0  0  0  0   0   0   0 0  0  0   0  0  0  2  2   0  0  0 |  *  *  *  *   *  *  *  * 25  *
...xo ..... ...ox .....&#x  ♦  0  0  0  2  2 |  0   0  0  0  0  0  0  0   0  0  1  4 1 0 | 0  0  0  0  0   0   0   0 0  0  0   0  0  0  0  0   0  2  2 |  *  *  *  *   *  *  *  *  * 25
```