Acronym | ... |
Name |
p60-r60, 41st stellation of ti |
© | |
Vertex figure | [r,52], [R2,52], [r5], [53] |
Dihedral angles |
|
Face vector | 152, 270, 120 |
The rhombs {(r,R)2} have vertex angles r = 60° resp. R = 120°. Esp. rr : RR = sqrt(3). – Alternatively the rhombs could be devided into pairs of coplanar regular triangles, but then asking for an additional edge each. – Accordingly, when filling the rhombic dimples halfway with peppies, this polyhedron could be transformed into a non-intersectingly concave polyhedron xfo3foo5oxf&#zx with regular polygons only.
This concave polyhedron also allows for an expansion (xfoa3fooo5xuFx&#zx), which then still is non-intersectingly concave, but where all faces then would be regular polygons. Thereby the rhombs will become hexagons.
Incidence matrix according to Dynkin symbol
xfoa3fooo5oxfo&#zx → height = 0 a = sqrt(5) = 2.236068 (tegum sum of (x,f)-ti, (f,x)-srid, f-doe, and a-ike) o...3o...5o... | 60 * * * | 1 2 0 0 | 2 1 [r,52] .o..3.o..5.o.. | * 60 * * | 0 2 1 1 | 2 2 [R2,52] ..o.3..o.5..o. | * * 20 * | 0 0 3 0 | 3 0 [53] ...o3...o5...o | * * * 12 | 0 0 0 5 | 0 5 [r5] -------------------+-------------+--------------+------ x... .... .... | 2 0 0 0 | 30 * * * | 2 0 (type 1) oo..3oo..5oo..&#x | 1 1 0 0 | * 120 * * | 1 1 .oo.3.oo.5.oo.&#x | 0 1 1 0 | * * 60 * | 2 0 (type 2) .o.o3.o.o5.o.o&#x | 0 1 0 1 | * * * 60 | 0 2 -------------------+-------------+--------------+------ xfo. .... ....&#xt | 2 2 1 0 | 1 2 2 0 | 60 * {5} .... .... ox.o&#xt | 1 2 0 1 | 0 2 0 2 | * 60 {(r,R)2}
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