Acronym doaid, doe || id, K-4.77 Name dodecahedron atop icosidodecahedron,dodecahedral cupola Segmentochoron display Circumradius (1+sqrt(5))/2 = 1.618034 Lace cityin approx. ASCII-art ``` o5x x5o f5o f5o x5x o5f o5f o5x x5o ``` Dihedral angles at {3} between pap and tet:   arccos[-sqrt(5/8)] = 142.238756° at {3} between pap and pap:   120° at {5} between doe and pap:   108° at {3} between id and tet:   arccos[(3-sqrt(5))/sqrt(32)] = 82.238756° at {5} between id and pap:   72° Confer uniform relative: ex   related CRFs: twau doaid   general polytopal classes: segmentochora   fundamental lace prisms Externallinks

As abstract polytope doaid is isomorphic to gissidagid, thereby replacing pentagons by pentagrams resp. replacing does by gissids, paps by staps, and ids by gids.

This monostratic polychoron could be obtained as a bistratic tropical section of ex, when all medial vertices would be diminished in addition (there chopping off a pappy each).

Incidence matrix according to Dynkin symbol

```oo3ox5xo&#x   → height = (1+sqrt(5))/4 = 0.809017
(doe || id)

o.3o.5o.    | 20  * |  3  3  0 |  3  3  3  0  0 | 1  1  3 0
.o3.o5.o    |  * 30 |  0  2  4 |  0  4  1  2  2 | 0  2  2 1
------------+-------+----------+----------------+----------
.. .. x.    |  2  0 | 30  *  * |  2  0  1  0  0 | 1  0  2 0
oo3oo5oo&#x |  1  1 |  * 60  * |  0  2  1  0  0 | 0  1  2 0
.. .x ..    |  0  2 |  *  * 60 |  0  1  0  1  1 | 0  1  1 1
------------+-------+----------+----------------+----------
.. o.5x.    |  5  0 |  5  0  0 | 12  *  *  *  * | 1  0  1 0
.. ox ..&#x |  1  2 |  0  2  1 |  * 60  *  *  * | 0  1  1 0
.. .. xo&#x |  2  1 |  1  2  0 |  *  * 30  *  * | 0  0  2 0
.o3.x ..    |  0  3 |  0  0  3 |  *  *  * 20  * | 0  1  0 1
.. .x5.o    |  0  5 |  0  0  5 |  *  *  *  * 12 | 0  0  1 1
------------+-------+----------+----------------+----------
o.3o.5x.    ♦ 20  0 | 30  0  0 | 12  0  0  0  0 | 1  *  * *
oo3ox ..&#x ♦  1  3 |  0  3  3 |  0  3  0  1  0 | * 20  * *
.. ox5xo&#x ♦  5  5 |  5 10  5 |  1  5  5  0  1 | *  * 12 *
.o3.x5.o    ♦  0 30 |  0  0 60 |  0  0  0 20 12 | *  *  * 1
```