Acronym | ogasc |
Name |
octagram-scalene, octagram-pyramidal pyramid, line atop fully orthogonal octagram |
Circumradius | sqrt[(4+sqrt(2))/14] = 0.621876 |
Dual | (topologically selfdual, in different orientation) |
Face vector | 10, 25, 25, 10 |
Confer |
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Incidence matrix according to Dynkin symbol
xo ox4/3ox&#x → height = sqrt[2 sqrt(2)-1]/2 = 0.676097 (pyramid product of line with {8/3}) o. o.4/3o. | 2 * ♦ 1 8 0 0 | 8 4 4 0 | 4 4 1 .o .o4/3.o | * 8 | 0 2 1 1 | 1 2 2 1 | 1 1 2 --------------+-----+----------+---------+------ x. .. .. | 2 0 | 1 * * * | 8 0 0 0 | 4 4 0 oo oo4/3oo&#x | 1 1 | * 16 * * | 1 1 1 0 | 1 1 1 .. .x .. | 0 2 | * * 4 * | 0 2 0 1 | 1 0 2 .. .. .x | 0 2 | * * * 4 | 0 0 2 1 | 0 1 2 --------------+-----+----------+---------+------ xo .. ..&#x | 2 1 | 1 2 0 0 | 8 * * * | 1 1 0 .. ox ..&#x | 1 2 | 0 2 1 0 | * 8 * * | 1 0 1 .. .. ox&#x | 1 2 | 0 2 0 1 | * * 8 * | 0 1 1 .. .x4/3.x | 0 8 | 0 0 4 4 | * * * 1 | 0 0 2 {8/3} --------------+-----+----------+---------+------ xo ox ..&#x ♦ 2 2 | 1 4 1 0 | 2 2 0 0 | 4 * * xo .. ox&#x ♦ 2 2 | 1 4 0 1 | 2 0 2 0 | * 4 * .. ox4/3ox&#x ♦ 1 8 | 0 8 4 4 | 0 4 4 1 | * * 2
xo ox8/3oo&#x → height = sqrt[2 sqrt(2)-1]/2 = 0.676097 (pyramid product of line with {8/3}) o. o.8/3o. | 2 * ♦ 1 8 0 | 8 8 0 | 8 1 .o .o8/3.o | * 8 | 0 2 2 | 1 4 1 | 2 2 --------------+-----+--------+--------+---- x. .. .. | 2 0 | 1 * * | 8 0 0 | 8 0 oo oo8/3oo&#x | 1 1 | * 16 * | 1 2 0 | 2 1 .. .x .. | 0 2 | * * 8 | 0 2 1 | 1 2 --------------+-----+--------+--------+---- xo .. ..&#x | 2 1 | 1 2 0 | 8 * * | 2 0 .. ox ..&#x | 1 2 | 0 2 1 | * 16 * | 1 1 .. .x8/3.o | 0 8 | 0 0 8 | * * 1 | 0 2 {8/3} --------------+-----+--------+--------+---- xo ox ..&#x ♦ 2 2 | 1 4 1 | 2 2 0 | 8 * .. ox8/3oo&#x ♦ 1 8 | 0 8 8 | 0 8 1 | * 2
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