Acronym | odhax |
Name | octadiminished hemihexeract |
Circumradius | sqrt(3)/2 = 0.866025 |
Lace hyper city in approx. ASCII-art |
o x o o o x x o o o o x o x o x o o . . . x o o o x o o o x x o o o o x o x o |
Face vector | 24, 132, 310, 336, 162, 28 |
Confer | |
External links |
The hemihexeract (hax) could be given as the hull of 4 cubes. In fact it then is xxoo xoxo xoox oxxo oxox ooxx&#zx. This representation makes its relation to this diminishing quite obvious: here just a single of those cubes (i.e. one representation layer) is omitted.
(Note however that there is also a different octadiminished hemihexeract as well: hexaf.)
Incidence matrix according to Dynkin symbol
xxo xox oxx oox oxo xoo&#zx → all heights = 0 o.. o.. o.. o.. o.. o.. & | 24 | 2 1 8 | 1 8 12 12 8 | 12 4 8 4 20 16 | 4 2 16 12 10 | 4 6 2 ------------------------------+----+----------+---------------+-------------------+---------------+------- x.. ... ... ... ... ... & | 2 | 24 * * | 1 4 4 0 0 | 10 2 2 0 8 0 | 4 1 12 4 0 | 4 4 0 ... ... ... ... ... x.. & | 2 | * 12 * | 0 0 0 8 0 | 0 0 4 4 0 8 | 0 2 0 4 8 | 0 4 2 oo. oo. oo. oo. oo. oo.&#x & | 2 | * * 96 | 0 1 2 2 2 | 2 1 2 1 6 5 | 1 1 6 5 4 | 2 4 1 ------------------------------+----+----------+---------------+-------------------+---------------+------- x.. x.. ... ... ... ... & | 4 | 4 0 0 | 6 * * * * | 8 0 0 0 0 0 | 4 0 8 0 0 | 4 2 0 xx. ... ... ... ... ...&#x & | 4 | 2 0 2 | * 48 * * * | 2 0 0 0 2 0 | 1 0 4 1 0 | 2 2 0 ... xo. ... ... ... ...&#x & | 3 | 1 0 2 | * * 96 * * | 1 1 1 0 2 0 | 1 1 4 2 0 | 2 3 0 ... ... ... ... ox. ...&#x & | 3 | 0 1 2 | * * * 96 * | 0 0 1 1 0 2 | 0 1 0 2 3 | 0 3 1 ooo ooo ooo ooo ooo ooo&#x | 3 | 0 0 3 | * * * * 64 | 0 0 0 0 3 3 | 0 0 3 3 3 | 1 3 1 ------------------------------+----+----------+---------------+-------------------+---------------+------- xx. xo. ... ... ... ...&#x & ♦ 6 | 5 0 4 | 1 2 2 0 0 | 48 * * * * * | 1 0 2 0 0 | 2 1 0 ... xo. ox. ... ... ...&#x & ♦ 4 | 2 0 4 | 0 0 4 0 0 | * 24 * * * * | 1 1 2 0 0 | 2 2 0 ... xo. ... ... ox. ...&#x & ♦ 4 | 1 1 4 | 0 0 2 2 0 | * * 48 * * * | 0 1 0 2 0 | 0 3 0 ... ... ... ... ox. xo.&#x & ♦ 4 | 0 2 4 | 0 0 0 4 0 | * * * 24 * * | 0 1 0 0 2 | 0 2 1 xxo ... ... ... ... ...&#x & ♦ 5 | 2 0 6 | 0 1 2 0 2 | * * * * 96 * | 0 0 2 1 0 | 1 2 0 ... ... ... oox ... ...&#x & ♦ 4 | 0 1 5 | 0 0 0 2 2 | * * * * * 96 | 0 0 0 1 2 | 0 2 1 ------------------------------+----+----------+---------------+-------------------+---------------+------- xx. xo. ox. ... ... ...&#x & ♦ 8 | 8 0 8 | 2 4 8 0 0 | 4 2 0 0 0 0 | 12 * * * * | 2 0 0 ... xo. ox. ... ox. xo.&#zx & ♦ 8 | 4 4 16 | 0 0 16 16 0 | 0 4 8 4 0 0 | * 6 * * * | 0 2 0 xxo xox ... ... ... ...&#x & ♦ 8 | 6 0 12 | 1 4 8 0 4 | 2 1 0 0 4 0 | * * 48 * * | 1 1 0 xxo ... ... oox ... ...&#x & ♦ 6 | 2 1 10 | 0 1 4 4 4 | 0 0 2 0 2 2 | * * * 48 * | 0 2 0 ... ... ... oox oxo ...&#x & ♦ 5 | 0 2 8 | 0 0 0 6 4 | 0 0 0 1 0 4 | * * * * 48 | 0 1 1 ------------------------------+----+----------+---------------+-------------------+---------------+------- xxo xox oxx ... ... ...&#x ♦ 12 | 12 0 24 | 3 12 24 0 8 | 12 6 0 0 12 0 | 3 0 6 0 0 | 8 * * xxo xox ... oox oxo ...&#x & ♦ 12 | 8 4 32 | 1 8 24 24 16 | 4 4 12 4 16 16 | 0 1 4 8 4 | * 12 * prism A-(BC) ... ... ... oox oxo xoo&#x ♦ 6 | 0 3 12 | 0 0 0 12 8 | 0 0 0 3 0 12 | 0 0 0 0 6 | * * 8
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