| Acronym | ritas |
| Name |
rit altersquarism, cyclotetra-diminished sochax, medial segment of siphina, partial Stott expansion of hax |
| Circumradius | sqrt(7)/2 = 1.322876 |
|
Lace city in approx. ASCII-art |
r R -- xo3oo3xx *b3ox&#x (rita) R r -- ox3oo3xx *b3xo&#x (alt. rita) where: R = o3o3x *b3x (rit) r = x3o3x *b3o (gyro rit) |
| Coordinates | (1/sqrt(8), 1/sqrt(8); 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 3/sqrt(8)) all permutations in one but first two coord.s, all even changes of sign |
| Face vector | 128, 832, 1984, 1984, 804, 100 |
| Confer |
|
Incidence matrix according to Dynkin symbol
xoxo3oooo3oxox *b3xxxx&#xr → all cyclical heights = 1/sqrt(2) = 0.707107 o...3o...3o... *b3o... & | 128 | 3 3 6 1 | 3 3 3 18 12 9 3 | 1 3 1 8 6 18 6 12 18 3 3 | 1 2 8 6 5 9 12 3 6 1 | 2 5 1 3 3 -----------------------------+-----+----------------+---------------------------+----------------------------------------+---------------------------------+------------- x... .... .... .... & | 2 | 192 * * * | 2 1 0 4 0 0 0 | 1 2 0 4 2 4 0 2 0 0 0 | 1 2 4 2 2 0 2 1 0 0 | 2 2 1 1 0 .... .... .... x... & | 2 | * 192 * * | 0 1 2 0 4 0 1 | 0 2 1 0 0 6 4 0 6 0 2 | 1 0 6 2 0 6 4 0 2 1 | 2 4 0 1 2 oo..3oo..3oo.. *b3oo..&#x & | 2 | * * 384 * | 0 0 0 4 2 2 0 | 0 0 0 2 2 4 1 4 4 1 0 | 0 1 2 2 2 2 4 2 2 0 | 1 2 1 2 1 o.o.3o.o.3o.o. *b3o.o.&#x & | 2 | * * * 64 | 0 0 0 0 0 6 3 | 0 0 0 0 0 0 0 6 12 3 3 | 0 0 0 0 2 6 6 3 6 1 | 0 2 1 3 3 -----------------------------+-----+----------------+---------------------------+----------------------------------------+---------------------------------+------------- x...3o... .... .... & | 3 | 3 0 0 0 | 128 * * * * * * | 1 1 0 2 0 0 0 0 0 0 0 | 1 2 2 0 1 0 0 0 0 0 | 2 1 1 0 0 x... .... .... x... & | 4 | 2 2 0 0 | * 96 * * * * * | 0 2 0 0 0 4 0 0 0 0 0 | 1 0 4 2 0 0 2 0 0 0 | 2 2 0 1 0 .... o... .... *b3x... & | 3 | 0 3 0 0 | * * 128 * * * * | 0 1 1 0 0 0 2 0 0 0 1 | 1 0 4 0 0 3 0 0 0 1 | 2 3 0 0 1 xo.. .... .... ....&#x & | 3 | 1 0 2 0 | * * * 768 * * * | 0 0 0 1 1 1 0 1 0 0 0 | 0 1 1 1 1 0 1 1 0 0 | 1 1 1 1 0 .... .... .... xx..&#x & | 4 | 0 2 2 0 | * * * * 384 * * | 0 0 0 0 0 2 1 0 2 0 0 | 0 0 2 1 0 2 2 0 1 0 | 1 2 0 1 2 ooo.3ooo.3ooo. *b3ooo.&#x & | 3 | 0 0 2 1 | * * * * * 384 * | 0 0 0 0 0 0 0 2 2 1 0 | 0 0 0 0 1 1 2 2 2 0 | 0 1 1 2 1 .... .... .... x.x.&#x & | 4 | 0 2 0 2 | * * * * * * 96 | 0 0 0 0 0 0 0 0 4 0 2 | 0 0 0 0 0 4 2 0 2 1 | 0 2 0 1 2 -----------------------------+-----+----------------+---------------------------+----------------------------------------+---------------------------------+------------- x...3o...3o... .... & ♦ 4 | 6 0 0 0 | 4 0 0 0 0 0 0 | 32 * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 | 2 0 1 0 0 x...3o... .... *b3x... & ♦ 12 | 12 12 0 0 | 4 6 4 0 0 0 0 | * 32 * * * * * * * * * | 1 0 2 0 0 0 0 0 0 0 | 2 1 0 0 0 .... o...3o... *b3x... & ♦ 4 | 0 6 0 0 | 0 0 4 0 0 0 0 | * * 32 * * * * * * * * | 1 0 2 0 0 0 0 0 0 1 | 2 2 0 0 0 xo..3oo.. .... ....&#x & ♦ 4 | 3 0 3 0 | 1 0 0 3 0 0 0 | * * * 256 * * * * * * * | 0 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0 xo.. .... ox.. ....&#x & ♦ 4 | 2 0 4 0 | 0 0 0 4 0 0 0 | * * * * 192 * * * * * * | 0 1 0 1 0 0 0 1 0 0 | 1 0 1 1 0 xo.. .... .... xx..&#x & ♦ 6 | 2 3 4 0 | 0 1 0 2 2 0 0 | * * * * * 384 * * * * * | 0 0 1 1 0 0 1 0 0 0 | 1 1 0 1 0 .... oo.. .... *b3xx..&#x & ♦ 6 | 0 6 3 0 | 0 0 2 0 3 0 0 | * * * * * * 128 * * * * | 0 0 2 0 0 2 0 0 0 0 | 1 2 0 0 1 .... .... oxo. ....&#x & ♦ 4 | 1 0 4 1 | 0 0 0 2 0 2 0 | * * * * * * * 384 * * * | 0 0 0 0 1 0 1 1 0 0 | 0 1 1 1 0 .... .... .... xxx.&#x & ♦ 6 | 0 3 4 2 | 0 0 0 0 2 2 1 | * * * * * * * * 384 * * | 0 0 0 0 0 1 1 0 1 0 | 0 1 0 1 1 oooo3oooo3oooo *b3oooo&#x ♦ 4 | 0 0 4 2 | 0 0 0 0 0 4 0 | * * * * * * * * * 96 * | 0 0 0 0 0 0 0 2 2 0 | 0 0 1 2 1 .... o.o. .... *b3x.x.&#x & ♦ 6 | 0 6 0 3 | 0 0 2 0 0 0 3 | * * * * * * * * * * 64 | 0 0 0 0 0 2 0 0 0 1 | 0 2 0 0 1 -----------------------------+-----+----------------+---------------------------+----------------------------------------+---------------------------------+------------- x...3o...3o... *b3x... & ♦ 32 | 48 48 0 0 | 32 24 32 0 0 0 0 | 8 8 8 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * | 2 0 0 0 0 xo..3oo..3ox.. ....&#x & ♦ 8 | 12 0 12 0 | 8 0 0 24 0 0 0 | 2 0 0 8 6 0 0 0 0 0 0 | * 32 * * * * * * * * | 1 0 1 0 0 xo..3oo.. .... *b3xx..&#x & ♦ 16 | 12 18 12 0 | 4 6 8 12 12 0 0 | 0 1 1 4 0 6 4 0 0 0 0 | * * 64 * * * * * * * | 1 1 0 0 0 xo.. .... ox.. xx..&#x & ♦ 8 | 4 4 8 0 | 0 2 0 8 4 0 0 | 0 0 0 0 2 4 0 0 0 0 0 | * * * 96 * * * * * * | 1 0 0 1 0 .... ooo.3oxo. ....&#x & ♦ 5 | 3 0 6 1 | 1 0 0 6 0 3 0 | 0 0 0 2 0 0 0 3 0 0 0 | * * * * 128 * * * * * | 0 1 1 0 0 .... ooo. .... *b3xxx.&#x & ♦ 9 | 0 9 6 3 | 0 0 3 0 6 3 3 | 0 0 0 0 0 0 2 0 3 0 1 | * * * * * 128 * * * * | 0 1 0 0 1 .... .... oxo. xxx.&#x & ♦ 8 | 2 4 8 2 | 0 1 0 4 4 4 1 | 0 0 0 0 0 2 0 2 2 0 0 | * * * * * * 192 * * * | 0 1 0 1 0 xoxo .... oxox ....&#xr ♦ 8 | 4 0 16 4 | 0 0 0 16 0 16 0 | 0 0 0 0 4 0 0 8 0 4 0 | * * * * * * * 48 * * | 0 0 1 1 0 .... .... .... xxxx&#x ♦ 8 | 0 4 8 4 | 0 0 0 0 4 8 2 | 0 0 0 0 0 0 0 0 4 2 0 | * * * * * * * * 96 * | 0 0 0 1 1 .... o.o.3o.o. *b3x.x.&#x & ♦ 8 | 0 12 0 4 | 0 0 8 0 0 0 6 | 0 0 2 0 0 0 0 0 0 0 4 | * * * * * * * * * 16 | 0 2 0 0 0 -----------------------------+-----+----------------+---------------------------+----------------------------------------+---------------------------------+------------- xo..3oo.. ox.. *b3xx..&#x & ♦ 64 | 96 96 96 0 | 64 48 64 192 96 0 0 | 16 16 16 64 48 96 32 0 0 0 0 | 2 8 16 24 0 0 0 0 0 0 | 4 * * * * .... ooo.3oxo. *b3xxx.&#x & ♦ 20 | 12 24 24 4 | 4 6 12 24 24 12 6 | 0 1 2 8 0 12 8 12 12 0 4 | 0 0 2 0 4 4 6 0 0 1 | * 32 * * * xoxo3oooo3oxox ....&#xr ♦ 16 | 24 0 48 8 | 16 0 0 96 0 48 0 | 4 0 0 32 24 0 0 48 0 12 0 | 0 4 0 0 16 0 0 6 0 0 | * * 8 * * xoxo .... oxox xxxx&#xr ♦ 16 | 8 8 32 8 | 0 4 0 32 16 32 4 | 0 0 0 0 8 16 0 16 16 8 0 | 0 0 0 4 0 0 8 2 4 0 | * * * 24 * .... oooo .... *b3xxxx&#x ♦ 12 | 0 12 12 6 | 0 0 4 0 12 12 6 | 0 0 0 0 0 0 4 0 12 3 2 | 0 0 0 0 0 4 0 0 3 0 | * * * * 32
xo ox xx3oo3xo *d3ox&#zx → height = 0 o. o. o.3o.3o. *d3o. & | 128 | 1 3 3 6 | 3 3 3 3 9 12 18 | 3 3 1 1 3 18 12 6 18 8 6 | 1 1 6 3 9 12 5 8 6 3 | 3 3 1 5 2 ---------------------------+-----+----------------+---------------------------+----------------------------------------+---------------------------------+------------- x. .. .. .. .. .. & | 2 | 64 * * * | 3 0 0 0 6 0 0 | 3 0 0 0 3 12 6 0 0 0 0 | 1 0 6 3 6 6 2 0 0 0 | 3 3 1 2 0 .. .. x. .. .. .. & | 2 | * 192 * * | 1 2 1 0 0 4 0 | 2 2 1 0 0 6 0 4 6 0 0 | 1 1 2 0 6 4 0 6 2 0 | 2 1 0 4 2 .. .. .. .. x. .. & | 2 | * * 192 * | 0 0 1 2 0 0 4 | 0 2 0 1 0 0 2 0 4 4 2 | 0 1 0 1 0 2 2 4 2 2 | 0 1 1 2 2 oo oo oo3oo3oo *d3oo&#x | 2 | * * * 384 | 0 0 0 0 2 2 4 | 0 0 0 0 1 4 4 1 4 2 2 | 0 0 2 2 2 4 2 2 2 1 | 1 2 1 2 1 ---------------------------+-----+----------------+---------------------------+----------------------------------------+---------------------------------+------------- x. .. x. .. .. .. & | 4 | 2 2 0 0 | 96 * * * * * * | 2 0 0 0 0 4 0 0 0 0 0 | 1 0 2 0 4 2 0 0 0 0 | 2 1 0 2 0 .. .. x.3o. .. .. & | 3 | 0 3 0 0 | * 128 * * * * * | 1 1 1 0 0 0 0 2 0 0 0 | 1 1 0 0 3 0 0 4 0 0 | 1 0 0 3 2 .. .. x. .. x. .. & | 4 | 0 2 2 0 | * * 96 * * * * | 0 2 0 0 0 0 0 0 4 0 0 | 0 1 0 0 0 2 0 4 2 0 | 0 1 0 2 2 .. .. .. o.3x. .. & | 3 | 0 0 3 0 | * * * 128 * * * | 0 1 0 1 0 0 0 0 0 2 0 | 0 1 0 0 0 0 1 2 0 2 | 0 0 1 1 2 xo .. .. .. .. ..&#x & | 3 | 1 0 0 2 | * * * * 384 * * | 0 0 0 0 1 2 2 0 0 0 0 | 0 0 2 2 1 2 1 0 0 0 | 1 2 1 1 0 .. .. xx .. .. ..&#x & | 4 | 0 2 0 2 | * * * * * 384 * | 0 0 0 0 0 2 0 1 2 0 0 | 0 0 1 0 2 2 0 2 1 0 | 1 1 0 2 1 .. .. .. .. xo ..&#x & | 3 | 0 0 1 2 | * * * * * * 768 | 0 0 0 0 0 0 1 0 1 1 1 | 0 0 0 1 0 1 1 1 1 1 | 0 1 1 1 1 ---------------------------+-----+----------------+---------------------------+----------------------------------------+---------------------------------+------------- x. .. x.3o. .. .. & ♦ 6 | 3 6 0 0 | 3 2 0 0 0 0 0 | 64 * * * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 | 1 0 0 2 0 .. .. x.3o.3x. .. & ♦ 12 | 0 12 12 0 | 0 4 6 4 0 0 0 | * 32 * * * * * * * * * | 0 1 0 0 0 0 0 2 0 0 | 0 0 0 1 2 .. .. x.3o. .. *d3o. & ♦ 4 | 0 6 0 0 | 0 4 0 0 0 0 0 | * * 32 * * * * * * * * | 1 1 0 0 0 0 0 2 0 0 | 0 0 0 2 2 .. .. .. o.3x. *d3o. & ♦ 4 | 0 0 6 0 | 0 0 0 4 0 0 0 | * * * 32 * * * * * * * | 0 1 0 0 0 0 0 0 0 2 | 0 0 1 0 2 xo ox .. .. .. ..&#x ♦ 4 | 2 0 0 4 | 0 0 0 0 4 0 0 | * * * * 96 * * * * * * | 0 0 2 2 0 0 0 0 0 0 | 1 2 1 0 0 xo .. xx .. .. ..&#x & ♦ 6 | 2 3 0 4 | 1 0 0 0 2 2 0 | * * * * * 384 * * * * * | 0 0 1 0 1 1 0 0 0 0 | 1 1 0 1 0 xo .. .. .. .. ox&#x & ♦ 4 | 1 0 1 4 | 0 0 0 0 2 0 2 | * * * * * * 384 * * * * | 0 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0 .. .. xx3oo .. ..&#x ♦ 6 | 0 6 0 3 | 0 2 0 0 0 3 0 | * * * * * * * 128 * * * | 0 0 0 0 2 0 0 2 0 0 | 1 0 0 2 1 .. .. xx .. xo ..&#x & ♦ 6 | 0 3 2 4 | 0 0 1 0 0 2 2 | * * * * * * * * 384 * * | 0 0 0 0 0 1 0 1 1 0 | 0 1 0 1 1 .. .. .. oo3xo ..&#x & ♦ 4 | 0 0 3 3 | 0 0 0 1 0 0 3 | * * * * * * * * * 256 * | 0 0 0 0 0 0 1 1 0 1 | 0 0 1 1 1 .. .. .. .. xo ox&#x ♦ 4 | 0 0 2 4 | 0 0 0 0 0 0 4 | * * * * * * * * * * 192 | 0 0 0 1 0 0 0 0 1 1 | 0 1 1 0 1 ---------------------------+-----+----------------+---------------------------+----------------------------------------+---------------------------------+------------- x. .. x.3o. .. *d3o. & ♦ 8 | 4 12 0 0 | 6 8 0 0 0 0 0 | 4 0 2 0 0 0 0 0 0 0 0 | 16 * * * * * * * * * | 0 0 0 2 0 .. .. x.3o.3x. *d3o. & ♦ 32 | 0 48 48 0 | 0 32 24 32 0 0 0 | 0 8 8 8 0 0 0 0 0 0 0 | * 4 * * * * * * * * | 0 0 0 0 2 xo ox xx .. .. ..&#x ♦ 8 | 4 4 0 8 | 2 0 0 0 8 4 0 | 0 0 0 0 2 4 0 0 0 0 0 | * * 96 * * * * * * * | 1 1 0 0 0 xo ox .. .. xo ox&#zx ♦ 8 | 4 0 4 16 | 0 0 0 0 16 0 16 | 0 0 0 0 4 0 8 0 0 0 4 | * * * 48 * * * * * * | 0 1 1 0 0 xo .. xx3oo .. ..&#x & ♦ 9 | 3 9 0 6 | 3 3 0 0 3 6 0 | 1 0 0 0 0 3 0 2 0 0 0 | * * * * 128 * * * * * | 1 0 0 1 0 xo .. xx .. .. ox&#x & ♦ 8 | 2 4 2 8 | 1 0 1 0 4 4 4 | 0 0 0 0 0 2 2 0 2 0 0 | * * * * * 192 * * * * | 0 1 0 1 0 xo .. .. oo .. *d3ox&#x & ♦ 5 | 1 0 3 6 | 0 0 0 1 3 0 6 | 0 0 0 0 0 0 3 0 0 2 0 | * * * * * * 128 * * * | 0 0 1 1 0 .. .. xx3oo3xo ..&#x & ♦ 16 | 0 18 12 12 | 0 8 6 4 0 12 12 | 0 1 1 0 0 0 0 4 6 4 0 | * * * * * * * 64 * * | 0 0 0 1 1 .. .. xx .. xo ox&#x ♦ 8 | 0 4 4 8 | 0 0 2 0 0 4 8 | 0 0 0 0 0 0 0 0 4 0 2 | * * * * * * * * 96 * | 0 1 0 0 1 .. .. .. oo3xo *d3ox&#x ♦ 8 | 0 0 12 12 | 0 0 0 8 0 0 24 | 0 0 0 2 0 0 0 0 0 8 6 | * * * * * * * * * 32 | 0 0 1 0 1 ---------------------------+-----+----------------+---------------------------+----------------------------------------+---------------------------------+------------- xo ox xx3oo .. ..&#x ♦ 12 | 6 12 0 12 | 6 4 0 0 12 12 0 | 2 0 0 0 3 12 0 4 0 0 0 | 0 0 3 0 4 0 0 0 0 0 | 32 * * * * xo ox xx .. xo ox&#zx ♦ 16 | 8 8 8 32 | 4 0 4 0 32 16 32 | 0 0 0 0 8 16 16 0 16 0 8 | 0 0 4 2 0 8 0 0 4 0 | * 24 * * * xo ox .. oo3xo *d3ox&#zx ♦ 16 | 8 0 24 48 | 0 0 0 16 48 0 96 | 0 0 0 4 12 0 48 0 0 32 24 | 0 0 0 6 0 0 16 0 0 4 | * * 8 * * xo .. xx3oo .. *d3ox&#x & ♦ 20 | 4 24 12 24 | 6 12 6 4 12 24 24 | 4 1 2 0 0 12 12 8 12 8 0 | 1 0 0 0 4 6 4 2 0 0 | * * * 32 * .. .. xx3oo3xo *d3ox&#x ♦ 64 | 0 96 96 96 | 0 64 48 64 0 96 192 | 0 16 16 16 0 0 0 32 96 64 48 | 0 2 0 0 0 0 0 16 24 8 | * * * * 4
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