Acronym | pacsrit |
Name | partially (mono-)contracted small rhombated tesseract |
Circumradius | ... |
Lace city in approx. ASCII-art |
x4o x4x x4x x4o - sirco x4x w4o w4o x4x - tic x4o x4x x4x x4o - sirco | | | +-- squobcu | | +------ pactic | +------------ pactic +---------------- squobcu |
Dihedral angles |
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Face vector | 72, 228, 204, 48 |
Confer |
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Incidence matrix according to Dynkin symbol
xox3oxo4xxx&#xt → both heights = 1/sqrt(2) = 0.707107 (sirco || pseudo tic || sirco) o..3o..4o.. & | 48 * | 2 2 2 0 0 | 1 2 1 2 1 2 0 | 1 1 2 1 .o.3.o.4.o. | * 24 | 0 0 4 2 1 | 0 0 0 2 4 4 1 | 0 2 2 2 -------------------+-------+----------------+---------------------+---------- x.. ... ... & | 2 0 | 48 * * * * | 1 1 0 1 0 0 0 | 1 1 1 0 ... ... x.. & | 2 0 | * 48 * * * | 0 1 1 0 0 1 0 | 1 0 1 1 oo.3oo.4oo.&#x & | 1 1 | * * 96 * * | 0 0 0 1 1 1 0 | 0 1 1 1 ... .x. ... | 0 2 | * * * 24 * | 0 0 0 0 2 0 1 | 0 2 0 1 ... ... .x. | 0 2 | * * * * 12 | 0 0 0 0 0 4 0 | 0 0 2 2 -------------------+-------+----------------+---------------------+---------- x..3o.. ... & | 3 0 | 3 0 0 0 0 | 16 * * * * * * | 1 1 0 0 x.. ... x.. & | 4 0 | 2 2 0 0 0 | * 24 * * * * * | 1 0 1 0 ... o..4x.. & | 4 0 | 0 4 0 0 0 | * * 12 * * * * | 1 0 0 1 xo. ... ...&#x & | 2 1 | 1 0 2 0 0 | * * * 48 * * * | 0 1 1 0 ... ox. ...&#x & | 1 2 | 0 0 2 1 0 | * * * * 48 * * | 0 1 0 1 ... ... xx.&#x & | 2 2 | 0 1 2 0 1 | * * * * * 48 * | 0 0 1 1 .o.3.x. ... | 0 3 | 0 0 0 3 0 | * * * * * * 8 | 0 2 0 0 -------------------+-------+----------------+---------------------+---------- x..3o..4x.. & ♦ 24 0 | 24 24 0 0 0 | 8 12 6 0 0 0 0 | 2 * * * xo.3ox. ...&#x & ♦ 3 3 | 3 0 6 3 0 | 1 0 0 3 3 0 1 | * 16 * * xo. ... xx.&#x & ♦ 4 2 | 2 2 4 0 1 | 0 1 0 2 0 2 0 | * * 24 * ... oxo4xxx&#xt ♦ 8 8 | 0 8 16 4 4 | 0 0 2 0 8 8 0 | * * * 6
qo xo3ox4xx&#zx → height = 0 (tegum sum of (q,x,x)-sircope and para tic) o. o.3o.4o. | 48 * | 2 2 2 0 0 | 1 2 1 2 1 2 0 | 1 1 1 2 .o .o3.o4.o | * 24 | 0 0 4 2 1 | 0 0 0 2 4 4 1 | 0 2 2 2 ----------------+-------+----------------+---------------------+---------- .. x. .. .. | 2 0 | 48 * * * * | 1 1 0 1 0 0 0 | 1 0 1 1 .. .. .. x. | 2 0 | * 48 * * * | 0 1 1 0 0 1 0 | 1 1 0 1 oo oo3oo4oo&#x | 1 1 | * * 96 * * | 0 0 0 1 1 1 0 | 0 1 1 1 .. .. .x .. | 0 2 | * * * 24 * | 0 0 0 0 2 0 1 | 0 1 2 0 .. .. .. .x | 0 2 | * * * * 12 | 0 0 0 0 0 4 0 | 0 2 0 2 ----------------+-------+----------------+---------------------+---------- .. x.3o. .. | 3 0 | 3 0 0 0 0 | 16 * * * * * * | 1 0 1 0 .. x. .. x. | 4 0 | 2 2 0 0 0 | * 24 * * * * * | 1 0 0 1 .. .. o.4x. | 4 0 | 0 4 0 0 0 | * * 12 * * * * | 1 1 0 0 .. xo .. ..&#x | 2 1 | 1 0 2 0 0 | * * * 48 * * * | 0 0 1 1 .. .. ox ..&#x | 1 2 | 0 0 2 1 0 | * * * * 48 * * | 0 1 1 0 .. .. .. xx&#x | 2 2 | 0 1 2 0 1 | * * * * * 48 * | 0 1 0 1 .. .o3.x .. | 0 3 | 0 0 0 3 0 | * * * * * * 8 | 0 0 2 0 ----------------+-------+----------------+---------------------+---------- .. x.3o.4x. ♦ 24 0 | 24 24 0 0 0 | 8 12 6 0 0 0 0 | 2 * * * qo .. ox4xx&#zx ♦ 8 8 | 0 8 16 4 4 | 0 0 2 0 8 8 0 | * 6 * * .. xo3ox ..&#x ♦ 3 3 | 3 0 6 3 0 | 1 0 0 3 3 0 1 | * * 16 * .. xo .. xx&#x ♦ 4 2 | 2 2 4 0 1 | 0 1 0 2 0 2 0 | * * * 24
(wx)(wx)(wx) (ox)(xo)(ox)4(xx)(xw)(xx)&#xt → both heights = 1/sqrt(2) = 0.707107 (sirco || pseudo tic || sirco) (o.)(..)(..) (o.)(..)(..)4(o.)(..)(..) & | 16 * * * | 2 2 2 0 0 0 0 0 0 0 0 0 | 1 1 2 1 2 2 0 0 0 0 0 0 0 | 1 1 1 2 0 0 (.o)(..)(..) (.o)(..)(..)4(.o)(..)(..) & | * 32 * * | 0 1 0 1 1 1 1 1 0 0 0 0 | 0 1 1 0 0 1 1 1 1 1 1 1 0 | 1 0 1 1 1 1 (..)(o.)(..) (..)(o.)(..)4(..)(o.)(..) | * * 16 * | 0 0 2 0 0 0 2 0 1 1 1 0 | 0 0 0 2 2 2 0 0 2 0 0 2 1 | 0 1 2 2 1 0 (..)(.o)(..) (..)(.o)(..)4(..)(.o)(..) | * * * 8 | 0 0 0 0 0 0 0 4 0 0 2 1 | 0 0 0 0 0 0 0 0 0 4 2 4 1 | 0 0 2 0 2 2 ---------------------------------------------+------------+----------------------------------+------------------------------------+-------------- (..)(..)(..) (..)(..)(..) (x.)(..)(..) & | 2 0 0 0 | 16 * * * * * * * * * * * | 1 0 1 0 1 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 (oo)(..)(..) (oo)(..)(..)4(oo)(..)(..)&#x & | 1 1 0 0 | * 32 * * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0 (o.)(o.)(..) (o.)(o.)(..)4(o.)(o.)(..)&#x & | 1 0 1 0 | * * 32 * * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0 (.x)(..)(..) (..)(..)(..) (..)(..)(..) & | 0 2 0 0 | * * * 16 * * * * * * * * | 0 0 0 0 0 0 1 1 0 1 0 0 0 | 1 0 0 0 1 1 (..)(..)(..) (.x)(..)(..) (..)(..)(..) & | 0 2 0 0 | * * * * 16 * * * * * * * | 0 1 0 0 0 0 1 0 0 0 1 0 0 | 1 0 1 0 0 1 (..)(..)(..) (..)(..)(..) (.x)(..)(..) & | 0 2 0 0 | * * * * * 16 * * * * * * | 0 0 1 0 0 0 0 1 1 0 0 0 0 | 1 0 0 1 1 0 (.o)(o.)(..) (.o)(o.)(..)4(.o)(o.)(..)&#x & | 0 1 1 0 | * * * * * * 32 * * * * * | 0 0 0 0 0 1 0 0 1 0 0 1 0 | 0 0 1 1 1 0 (.o)(.o)(..) (.o)(.o)(..)4(.o)(.o)(..)&#x & | 0 1 0 1 | * * * * * * * 32 * * * * | 0 0 0 0 0 0 0 0 0 1 1 1 0 | 0 0 1 0 1 1 (..)(..)(..) (..)(x.)(..) (..)(..)(..) | 0 0 2 0 | * * * * * * * * 8 * * * | 0 0 0 2 0 0 0 0 0 0 0 0 1 | 0 1 2 0 0 0 (..)(..)(..) (..)(..)(..) (..)(x.)(..) | 0 0 2 0 | * * * * * * * * * 8 * * | 0 0 0 0 2 0 0 0 2 0 0 0 0 | 0 1 0 2 1 0 (..)(oo)(..) (..)(oo)(..)4(..)(oo)(..)&#x | 0 0 1 1 | * * * * * * * * * * 16 * | 0 0 0 0 0 0 0 0 0 0 0 2 1 | 0 0 2 0 1 0 (..)(.x)(..) (..)(..)(..) (..)(..)(..) | 0 0 0 2 | * * * * * * * * * * * 4 | 0 0 0 0 0 0 0 0 0 4 0 0 0 | 0 0 0 0 2 2 ---------------------------------------------+------------+----------------------------------+------------------------------------+-------------- (..)(..)(..) (o.)(..)(..)4(x.)(..)(..) & | 4 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * | 1 1 0 0 0 0 (..)(..)(..) (ox)(..)(..) (..)(..)(..)&#x & | 1 2 0 0 | 0 2 0 0 1 0 0 0 0 0 0 0 | * 16 * * * * * * * * * * * | 1 0 1 0 0 0 (..)(..)(..) (..)(..)(..) (xx)(..)(..)&#x & | 2 2 0 0 | 1 2 0 0 0 1 0 0 0 0 0 0 | * * 16 * * * * * * * * * * | 1 0 0 1 0 0 (..)(..)(..) (o.)(x.)(..) (..)(..)(..)&#x & | 1 0 2 0 | 0 0 2 0 0 0 0 0 1 0 0 0 | * * * 16 * * * * * * * * * | 0 1 1 0 0 0 (..)(..)(..) (..)(..)(..) (x.)(x.)(..)&#x & | 2 0 2 0 | 1 0 2 0 0 0 0 0 0 1 0 0 | * * * * 16 * * * * * * * * | 0 1 0 1 0 0 (oo)(o.)(..) (oo)(o.)(..)4(oo)(o.)(..)&#x & | 1 1 1 0 | 0 1 1 0 0 0 1 0 0 0 0 0 | * * * * * 32 * * * * * * * | 0 0 1 1 0 0 (.x)(..)(..) (.x)(..)(..) (..)(..)(..) & | 0 4 0 0 | 0 0 0 2 2 0 0 0 0 0 0 0 | * * * * * * 8 * * * * * * | 1 0 0 0 0 1 (.x)(..)(..) (..)(..)(..) (.x)(..)(..) & | 0 4 0 0 | 0 0 0 2 0 2 0 0 0 0 0 0 | * * * * * * * 8 * * * * * | 1 0 0 0 1 0 (..)(..)(..) (..)(..)(..) (.x)(x.)(..) & | 0 2 2 0 | 0 0 0 0 0 1 2 0 0 1 0 0 | * * * * * * * * 16 * * * * | 0 0 0 1 1 0 (.x)(.x)(..) (..)(..)(..) (..)(..)(..)&#x & | 0 2 0 2 | 0 0 0 1 0 0 0 2 0 0 0 1 | * * * * * * * * * 16 * * * | 0 0 0 0 1 1 (..)(..)(..) (.x)(.o)(..) (..)(..)(..)&#x & | 0 2 0 1 | 0 0 0 0 1 0 0 2 0 0 0 0 | * * * * * * * * * * 16 * * | 0 0 1 0 0 1 (.o)(oo)(..) (.o)(oo)(..)4(.o)(oo)(..)&#x & | 0 1 1 1 | 0 0 0 0 0 0 1 1 0 0 1 0 | * * * * * * * * * * * 32 * | 0 0 1 0 1 0 (..)(..)(..) (..)(xo)(..) (..)(..)(..)&#x | 0 0 2 1 | 0 0 0 0 0 0 0 0 1 0 2 0 | * * * * * * * * * * * * 8 | 0 0 2 0 0 0 ---------------------------------------------+------------+----------------------------------+------------------------------------+-------------- (wx)(..)(..) (ox)(..)(..)4(xx)(..)(..)&#zx & ♦ 8 16 0 0 | 8 16 0 8 8 8 0 0 0 0 0 0 | 2 8 8 0 0 0 4 4 0 0 0 0 0 | 2 * * * * * (..)(..)(..) (o.)(x.)(o.)4(x.)(x.)(x.)&#xt ♦ 8 0 8 0 | 8 0 16 0 0 0 0 0 4 4 0 0 | 2 0 0 8 8 0 0 0 0 0 0 0 0 | * 2 * * * * (..)(..)(..) (ox)(xo)(..) (..)(..)(..)&#xr & ♦ 1 2 2 1 | 0 2 2 0 1 0 2 2 1 0 2 0 | 0 1 0 1 0 2 0 0 0 0 1 2 1 | * * 16 * * * (..)(..)(..) (..)(..)(..) (xx)(x.)(..)&#x & ♦ 2 2 2 0 | 1 2 2 0 0 1 2 0 0 1 0 0 | 0 0 1 0 1 2 0 0 1 0 0 0 0 | * * * 16 * * (.x)(wx)(.x) (..)(..)(..) (.x)(xw)(.x)&#xt ♦ 0 8 4 4 | 0 0 0 4 0 4 8 8 0 2 4 2 | 0 0 0 0 0 0 0 2 4 4 0 8 0 | * * * * 4 * (.x)(.x)(..) (.x)(.o)(..) (..)(..)(..)&#x & ♦ 0 4 0 2 | 0 0 0 2 2 0 0 4 0 0 0 1 | 0 0 0 0 0 0 1 0 0 2 2 0 0 | * * * * * 8
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