Acronym | ... |
Name |
x3(-x)5f, variation of grid |
Circumradius | (1+sqrt(5))/2 = 1.618034 |
General of army | id |
Confer |
Looks like a compound of id and a non-uniform faceting of that one, o3β5o, which features again its triangles, but connects those by golden (x,f)-rectangles and then connects these f-edges to f-pentagrams. But in fact the 2 conincident triangles here become Grünbaumian doubly wound hexagons, and the pentagons blend with the inscribed f-pentagrams into complete pentagons. Vertices here coincide by four and x-edges coincide by pairs.
Incidence matrix according to Dynkin symbol
x3(-x)5f . . . | 120 | 1 1 1 | 1 1 1 ---------+-----+----------+--------- x . . | 2 | 60 * * | 1 1 0 . -x . | 2 | * 60 * | 1 0 1 . . f | 2 | * * 60 | 0 1 1 ---------+-----+----------+--------- x3(-x) . | 6 | 3 3 0 | 20 * * x . f | 4 | 2 0 2 | * 30 * . (-x)5f | 10 | 0 5 5 | * * 12
x3/2x5/4f . . . | 120 | 1 1 1 | 1 1 1 ----------+-----+----------+--------- x . . | 2 | 60 * * | 1 1 0 . x . | 2 | * 60 * | 1 0 1 . . f | 2 | * * 60 | 0 1 1 ----------+-----+----------+--------- x3/2x . | 6 | 3 3 0 | 20 * * x . f | 4 | 2 0 2 | * 30 * . x5/4f | 10 | 0 5 5 | * * 12
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