Acronym | gaddaraded, gad || raded |
Name |
great dodecahedron atop rhombidodecadodecahedron, gad-first cap of quipdohi |
Circumradius | sqrt[4-sqrt(5)] = 1.328131 |
Confer |
|
As abstract polytope gaddaraded is isomorphic to sissidaraded, thereby interchanging the roles of pentagrams and pentagons, resp. replacing gad by sissid, stappy by peppy, and pip by stip.
Incidence matrix according to Dynkin symbol
ox5/2oo5xx&#x → height = (1+sqrt(5))/4 = 0.809017
(gad || raded)
o.5/2o.5o. | 12 * | 5 5 0 0 | 5 5 10 0 0 0 | 1 1 5 5 0
.o5/2.o5.o | * 60 | 0 1 2 2 | 0 2 2 1 2 1 | 0 1 2 1 1
--------------+-------+-------------+-------------------+-------------
.. .. x. | 2 0 | 30 * * * | 2 0 2 0 0 0 | 1 0 1 2 0
oo5/2oo5oo&#x | 1 1 | * 60 * * | 0 2 2 0 0 0 | 0 1 2 1 0
.x .. .. | 0 2 | * * 60 * | 0 1 0 1 1 0 | 0 1 1 0 1
.. .. .x | 0 2 | * * * 60 | 0 0 1 0 1 1 | 0 0 1 1 1
--------------+-------+-------------+-------------------+-------------
.. o.5x. | 5 0 | 5 0 0 0 | 12 * * * * * | 1 0 0 1 0
ox .. ..&#x | 1 2 | 0 2 1 0 | * 60 * * * * | 0 1 1 0 0
.. .. xx&#x | 2 2 | 1 2 0 1 | * * 60 * * * | 0 0 1 1 0
.x5/2.o .. | 0 5 | 0 0 5 0 | * * * 12 * * | 0 1 0 0 1
.x .. .x | 0 4 | 0 0 2 2 | * * * * 30 * | 0 0 1 0 1
.. .o5.x | 0 5 | 0 0 0 5 | * * * * * 12 | 0 0 0 1 1
--------------+-------+-------------+-------------------+-------------
o.5/2o.5x. ♦ 12 0 | 30 0 0 0 | 12 0 0 0 0 0 | 1 * * * *
ox5/2oo ..&#x ♦ 1 5 | 0 5 5 0 | 0 5 0 1 0 0 | * 12 * * *
ox .. xx&#x ♦ 2 4 | 1 4 2 2 | 0 2 2 0 1 0 | * * 30 * *
.. oo5xx&#x ♦ 5 5 | 5 5 0 5 | 1 0 5 0 0 1 | * * * 12 *
.x5/2.o5.x ♦ 0 60 | 0 0 60 60 | 0 0 0 12 30 12 | * * * * 1
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