Acronym | gipe |
Name | great-icosahedron prism |
Cross sections |
© |
Circumradius | sqrt[(7-sqrt(5))/8] = 0.771681 |
Colonel of regiment | sissiddip |
Dihedral angles | |
Face vector | 24, 72, 70, 22 |
Confer |
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External links |
As abstract polytope gipe is isomorphic to ipe, thereby replacing gike by ike.
Incidence matrix according to Dynkin symbol
x x3o5/2o . . . . | 24 | 1 5 | 5 5 | 5 1 ----------+----+-------+-------+----- x . . . | 2 | 12 * | 5 0 | 5 0 . x . . | 2 | * 60 | 1 2 | 2 1 ----------+----+-------+-------+----- x x . . | 4 | 2 2 | 30 * | 2 0 . x3o . | 3 | 0 3 | * 40 | 1 1 ----------+----+-------+-------+----- x x3o . ♦ 6 | 3 6 | 3 2 | 20 * . x3o5/2o ♦ 12 | 0 30 | 0 20 | * 2
x x3o5/3o . . . . | 24 | 1 5 | 5 5 | 5 1 ----------+----+-------+-------+----- x . . . | 2 | 12 * | 5 0 | 5 0 . x . . | 2 | * 60 | 1 2 | 2 1 ----------+----+-------+-------+----- x x . . | 4 | 2 2 | 30 * | 2 0 . x3o . | 3 | 0 3 | * 40 | 1 1 ----------+----+-------+-------+----- x x3o . ♦ 6 | 3 6 | 3 2 | 20 * . x3o5/3o ♦ 12 | 0 30 | 0 20 | * 2
x x3/2o5/2o . . . . | 24 | 1 5 | 5 5 | 5 1 ------------+----+-------+-------+----- x . . . | 2 | 12 * | 5 0 | 5 0 . x . . | 2 | * 60 | 1 2 | 2 1 ------------+----+-------+-------+----- x x . . | 4 | 2 2 | 30 * | 2 0 . x3/2o . | 3 | 0 3 | * 40 | 1 1 ------------+----+-------+-------+----- x x3/2o . ♦ 6 | 3 6 | 3 2 | 20 * . x3/2o5/2o ♦ 12 | 0 30 | 0 20 | * 2
x x3/2o5/3o . . . . | 24 | 1 5 | 5 5 | 5 1 ------------+----+-------+-------+----- x . . . | 2 | 12 * | 5 0 | 5 0 . x . . | 2 | * 60 | 1 2 | 2 1 ------------+----+-------+-------+----- x x . . | 4 | 2 2 | 30 * | 2 0 . x3/2o . | 3 | 0 3 | * 40 | 1 1 ------------+----+-------+-------+----- x x3/2o . ♦ 6 | 3 6 | 3 2 | 20 * . x3/2o5/3o ♦ 12 | 0 30 | 0 20 | * 2
x s3/2s3/2s . demi( . . . ) | 24 | 1 1 2 2 | 1 1 1 2 2 3 | 1 1 1 3 --------------------+----+-------------+----------------+--------- . ( s 2 s ) | 2 | 12 * * * | 1 0 0 0 0 2 | 0 0 1 2 x demi( . . . ) | 2 | * 12 * * | 1 0 0 2 2 0 | 1 1 0 3 . sefa( s3/2s . ) | 2 | * * 24 * | 0 1 0 1 0 1 | 1 0 1 1 . sefa( . s3/2s ) | 2 | * * * 24 | 0 0 1 0 1 1 | 0 1 1 1 --------------------+----+-------------+----------------+--------- x ( s 2 s ) | 4 | 2 2 0 0 | 6 * * * * * | 0 0 0 2 . s3/2s . ♦ 3 | 0 0 3 0 | * 8 * * * * | 1 0 1 0 . . s3/2s ♦ 3 | 0 0 0 3 | * * 8 * * * | 0 1 1 0 x sefa( s3/2s . ) | 4 | 0 2 2 0 | * * * 12 * * | 1 0 0 1 x sefa( . s3/2s ) | 4 | 0 2 0 2 | * * * * 12 * | 0 1 0 1 . sefa( s3/2s3/2s ) | 3 | 1 0 1 1 | * * * * * 24 | 0 0 1 1 --------------------+----+-------------+----------------+--------- x s3/2s . ♦ 6 | 0 3 6 0 | 0 2 0 3 0 0 | 4 * * * x . s3/2s ♦ 6 | 0 3 0 6 | 0 0 2 0 3 0 | * 4 * * . s3/2s3/2s ♦ 12 | 6 0 12 12 | 0 4 4 0 0 12 | * * 2 * x sefa( s3/2s3/2s ) ♦ 6 | 2 3 2 2 | 1 0 0 1 1 2 | * * * 12
xx3oo5/2oo&#x → height = 1
(gike || gike)
o.3o.5/2o. | 12 * | 5 1 0 | 5 5 0 | 1 5 0
.o3.o5/2.o | * 12 | 0 1 5 | 0 5 5 | 0 5 1
--------------+-------+----------+----------+-------
x. .. .. | 2 0 | 30 * * | 2 1 0 | 1 2 0
oo3oo5/2oo&#x | 1 1 | * 12 * | 0 5 0 | 0 5 0
.x .. .. | 0 2 | * * 30 | 0 1 2 | 0 2 1
--------------+-------+----------+----------+-------
x.3o. .. | 3 0 | 3 0 0 | 20 * * | 1 1 0
xx .. ..&#x | 2 2 | 1 2 1 | * 30 * | 0 2 0
.x3.o .. | 0 3 | 0 0 3 | * * 20 | 0 1 1
--------------+-------+----------+----------+-------
x.3o.5/2o. ♦ 12 0 | 30 0 0 | 20 0 0 | 1 * *
xx3oo ..&#x ♦ 3 3 | 3 3 3 | 1 3 1 | * 20 *
.x3.o5/2.o ♦ 0 12 | 0 0 30 | 0 0 20 | * * 1
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