Acronym ene
Name enneazetton,
8D simplex8),
pyrozetton,
octaexal pyramid
Circumradius 2/3 = 0.666667
Inradius 1/12 = 0.083333
Dual (selfdual, in different orientation)
Confer
general polytopal classes:
simplex  
External
links
wikipedia   mathworld

Incidence matrix according to Dynkin symbol

x3o3o3o3o3o3o3o

. . . . . . . . | 9   8 | 28 |  56 |  70 | 56 | 28 | 8
----------------+---+----+----+-----+-----+----+----+--
x . . . . . . . | 2 | 36   7 |  21 |  35 | 35 | 21 | 7
----------------+---+----+----+-----+-----+----+----+--
x3o . . . . . . | 3 |  3 | 84    6 |  15 | 20 | 15 | 6
----------------+---+----+----+-----+-----+----+----+--
x3o3o . . . . .  4 |  6 |  4 | 126    5 | 10 | 10 | 5
----------------+---+----+----+-----+-----+----+----+--
x3o3o3o . . . .  5 | 10 | 10 |   5 | 126   4 |  6 | 4
----------------+---+----+----+-----+-----+----+----+--
x3o3o3o3o . . .  6 | 15 | 20 |  15 |   6 | 84 |  3 | 3
----------------+---+----+----+-----+-----+----+----+--
x3o3o3o3o3o . .  7 | 21 | 35 |  35 |  21 |  7 | 36 | 2
----------------+---+----+----+-----+-----+----+----+--
x3o3o3o3o3o3o .  8 | 28 | 56 |  70 |  56 | 28 |  8 | 9

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