Acronym | sistodip |
Name | square - octagram duoprism |
Circumradius | sqrt[(3-sqrt(2))/2] = 0.890446 |
Dihedral angles | |
Face vector | 32, 64, 44, 12 |
Confer | n/d,m/b-dip sistople |
External links |
As abstract polychoron sistodip is isomorphic to sodip, thereby replacing the octagrams by octagons, resp. replacing stop by op.
Incidence matrix according to Dynkin symbol
x4o x8/3o . . . . | 32 | 2 2 | 1 4 1 | 2 2 ----------+----+-------+--------+---- x . . . | 2 | 32 * | 1 2 0 | 2 1 . . x . | 2 | * 32 | 0 2 1 | 1 2 ----------+----+-------+--------+---- x4o . . | 4 | 4 0 | 8 * * | 2 0 x . x . | 4 | 2 2 | * 32 * | 1 1 . . x8/3o | 8 | 0 8 | * * 4 | 0 2 ----------+----+-------+--------+---- x4o x . ♦ 8 | 8 4 | 2 4 0 | 8 * x . x8/3o ♦ 16 | 8 16 | 0 8 2 | * 4
x x x8/3o . . . . | 32 | 1 1 2 | 1 2 2 1 | 2 1 1 ----------+----+----------+-----------+------ x . . . | 2 | 16 * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 16 * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 32 | 0 1 1 1 | 1 1 1 ----------+----+----------+-----------+------ x x . . | 4 | 2 2 0 | 8 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 16 * * | 1 1 0 . x x . | 4 | 0 2 2 | * * 16 * | 1 0 1 . . x8/3o | 8 | 0 0 8 | * * * 4 | 0 1 1 ----------+----+----------+-----------+------ x x x . ♦ 8 | 4 4 4 | 2 2 2 0 | 8 * * x . x8/3o ♦ 16 | 8 0 16 | 0 8 0 2 | * 2 * . x x8/3o ♦ 16 | 0 8 16 | 0 0 8 2 | * * 2
x4o x4/3x . . . . | 32 | 2 1 1 | 1 2 2 1 | 1 1 2 ----------+----+----------+-----------+------ x . . . | 2 | 32 * * | 1 1 1 0 | 1 1 1 . . x . | 2 | * 16 * | 0 2 0 1 | 1 0 2 . . . x | 2 | * * 16 | 0 0 2 1 | 0 1 2 ----------+----+----------+-----------+------ x4o . . | 4 | 4 0 0 | 8 * * * | 1 1 0 x . x . | 4 | 2 2 0 | * 16 * * | 1 0 1 x . . x | 4 | 2 0 2 | * * 16 * | 0 1 1 . . x4/3x | 8 | 0 4 4 | * * * 4 | 0 0 2 ----------+----+----------+-----------+------ x4o x . ♦ 8 | 8 4 0 | 2 4 0 0 | 4 * * x4o . x ♦ 8 | 8 0 4 | 2 0 4 0 | * 4 * x . x4/3x ♦ 16 | 8 8 8 | 0 4 4 2 | * * 4
x x x4/3x . . . . | 32 | 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 ----------+----+-------------+-------------+-------- x . . . | 2 | 16 * * * | 1 1 1 0 0 0 | 1 1 1 0 . x . . | 2 | * 16 * * | 1 0 0 1 1 0 | 1 1 0 1 . . x . | 2 | * * 16 * | 0 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * * 16 | 0 0 1 0 1 1 | 0 1 1 1 ----------+----+-------------+-------------+-------- x x . . | 4 | 2 2 0 0 | 8 * * * * * | 1 1 0 0 x . x . | 4 | 2 0 2 0 | * 8 * * * * | 1 0 1 0 x . . x | 4 | 2 0 0 2 | * * 8 * * * | 0 1 1 0 . x x . | 4 | 0 2 2 0 | * * * 8 * * | 1 0 0 1 . x . x | 4 | 0 2 0 2 | * * * * 8 * | 0 1 0 1 . . x4/3x | 8 | 0 0 4 4 | * * * * * 4 | 0 0 1 1 ----------+----+-------------+-------------+-------- x x x . ♦ 8 | 4 4 4 0 | 2 2 0 2 0 0 | 4 * * * x x . x ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 | * 4 * * x . x4/3x ♦ 16 | 8 0 8 8 | 0 4 4 0 0 2 | * * 2 * . x x4/3x ♦ 16 | 0 8 8 8 | 0 0 0 4 4 2 | * * * 2
x4/3o x8/3o . . . . | 32 | 2 2 | 1 4 1 | 2 2 ------------+----+-------+--------+---- x . . . | 2 | 32 * | 1 2 0 | 2 1 . . x . | 2 | * 32 | 0 2 1 | 1 2 ------------+----+-------+--------+---- x4/3o . . | 4 | 4 0 | 8 * * | 2 0 x . x . | 4 | 2 2 | * 32 * | 1 1 . . x8/3o | 8 | 0 8 | * * 4 | 0 2 ------------+----+-------+--------+---- x4/3o x . ♦ 8 | 8 4 | 2 4 0 | 8 * x . x8/3o ♦ 16 | 8 16 | 0 8 2 | * 4
x4o x8/5o . . . . | 32 | 2 2 | 1 4 1 | 2 2 ----------+----+-------+--------+---- x . . . | 2 | 32 * | 1 2 0 | 2 1 . . x . | 2 | * 32 | 0 2 1 | 1 2 ----------+----+-------+--------+---- x4o . . | 4 | 4 0 | 8 * * | 2 0 x . x . | 4 | 2 2 | * 32 * | 1 1 . . x8/5o | 8 | 0 8 | * * 4 | 0 2 ----------+----+-------+--------+---- x4o x . ♦ 8 | 8 4 | 2 4 0 | 8 * x . x8/5o ♦ 16 | 8 16 | 0 8 2 | * 4
x4/3o x8/5o . . . . | 32 | 2 2 | 1 4 1 | 2 2 ------------+----+-------+--------+---- x . . . | 2 | 32 * | 1 2 0 | 2 1 . . x . | 2 | * 32 | 0 2 1 | 1 2 ------------+----+-------+--------+---- x4/3o . . | 4 | 4 0 | 8 * * | 2 0 x . x . | 4 | 2 2 | * 32 * | 1 1 . . x8/5o | 8 | 0 8 | * * 4 | 0 2 ------------+----+-------+--------+---- x4/3o x . ♦ 8 | 8 4 | 2 4 0 | 8 * x . x8/5o ♦ 16 | 8 16 | 0 8 2 | * 4
xx xx8/3oo&#x → height = 1
(stop || stop)
o. o. o. | 16 * | 1 2 1 0 0 | 2 1 1 2 0 0 | 1 2 1 0
.o .o .o | * 16 | 0 0 1 1 2 | 0 0 1 2 2 1 | 0 2 1 1
--------------+-------+--------------+--------------+--------
x. .. .. | 2 0 | 8 * * * * | 2 0 1 0 0 0 | 1 2 0 0
.. x. .. | 2 0 | * 16 * * * | 1 1 0 1 0 0 | 1 1 1 0
oo oo8/3oo&#x | 1 1 | * * 16 * * | 0 0 1 2 0 0 | 0 2 1 0
.x .. .. | 0 2 | * * * 8 * | 0 0 1 0 2 0 | 0 2 0 1
.. .x .. | 0 2 | * * * * 16 | 0 0 0 1 1 1 | 0 1 1 1
--------------+-------+--------------+--------------+--------
x. x. .. | 4 0 | 2 2 0 0 0 | 8 * * * * * | 1 1 0 0
.. x.8/3o. | 8 0 | 0 8 0 0 0 | * 2 * * * * | 1 0 1 0
xx .. ..&#x | 2 2 | 1 0 2 1 0 | * * 8 * * * | 0 2 0 0
.. xx ..&#x | 2 2 | 0 1 2 0 1 | * * * 16 * * | 0 1 1 0
.x .x .. | 0 4 | 0 0 0 2 2 | * * * * 8 * | 0 1 0 1
.. .x8/3.o | 0 8 | 0 0 0 0 8 | * * * * * 2 | 0 0 1 1
--------------+-------+--------------+--------------+--------
x. x.8/3o. ♦ 16 0 | 8 16 0 0 0 | 8 2 0 0 0 0 | 1 * * *
xx xx ..&#x ♦ 4 4 | 2 2 4 2 2 | 1 0 2 2 1 0 | * 8 * *
.. xx8/3oo&#x ♦ n 8 | 0 8 8 0 8 | 0 1 0 8 0 1 | * * 2 *
.x .x8/3.o ♦ 0 16 | 0 0 0 8 16 | 0 0 0 0 8 2 | * * * 1
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