Acronym | pexic |
Name | partially (mono-)expanded icositetrachoron |
Circumradius | ... |
Lace city in approx. ASCII-art |
o3x x3o x3o x3x o3x x3o x3x o3x o3x x3o |
o4o x4o o4o - oct x4o o4q x4o - co x4o o4q x4o - co o4o x4o o4o - oct | | +-- esquidpy | +------- pexco +------------ esquidpy | |
Dihedral angles | |
Face vector | 36, 132, 128, 32 |
Confer |
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Incidence matrix according to Dynkin symbol
xoox3oxxo4oooo&#xt → outer heights = 1/sqrt(2) = 0.707107 inner height = 1 (oct || pseudo co || pseudo co || oct) o...3o...4o... & | 12 * ♦ 4 4 0 0 | 4 4 4 0 0 | 1 4 1 0 .o..3.o..4.o.. & | * 24 | 0 2 4 1 | 0 1 4 2 4 | 0 2 2 2 ----------------------+-------+-------------+----------------+--------- x... .... .... & | 2 0 | 24 * * * | 2 1 0 0 0 | 1 2 0 0 oo..3oo..4oo..&#x & | 1 1 | * 48 * * | 0 1 2 0 0 | 0 2 1 0 .... .x.. .... & | 0 2 | * * 48 * | 0 0 1 1 1 | 0 1 1 1 .oo.3.oo.4.oo.&#x | 0 2 | * * * 12 | 0 0 0 0 4 | 0 0 2 2 ----------------------+-------+-------------+----------------+--------- x...3o... .... & | 3 0 | 3 0 0 0 | 16 * * * * | 1 1 0 0 xo.. .... ....&#x & | 2 1 | 1 2 0 0 | * 24 * * * | 0 2 0 0 .... ox.. ....&#x & | 1 2 | 0 2 1 0 | * * 48 * * | 0 1 1 0 .o..3.x.. .... & | 0 3 | 0 0 3 0 | * * * 16 * | 0 1 0 1 .... .xx. ....&#x | 0 4 | 0 0 2 2 | * * * * 24 | 0 0 1 1 ----------------------+-------+-------------+----------------+--------- x...3o...4o... & ♦ 6 0 | 12 0 0 0 | 8 0 0 0 0 | 2 * * * xo..3ox.. ....&#x & ♦ 3 3 | 3 6 3 0 | 1 3 3 1 0 | * 16 * * .... oxxo4oooo&#xt ♦ 2 8 | 0 8 8 4 | 0 0 8 0 4 | * * 6 * .oo.3.xx. ....&#x ♦ 0 6 | 0 0 6 3 | 0 0 0 2 3 | * * * 8
oxxo3xoox3oxxo&#xt → outer heights = 1/sqrt(2) = 0.707107 inner height = 1 (oct || pseudo co || pseudo co || oct) o...3o...3o... & | 12 * ♦ 4 4 0 0 0 | 2 2 2 4 2 0 0 0 0 | 1 2 2 1 0 0 .o..3.o..3.o.. & | * 24 | 0 2 2 2 1 | 0 0 2 1 2 1 1 2 2 | 0 1 1 2 1 1 ---------------------+-------+----------------+------------------------+------------ .... x... .... & | 2 0 | 24 * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0 0 oo..3oo..3oo..&#x & | 1 1 | * 48 * * * | 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0 0 .x.. .... .... & | 0 2 | * * 24 * * | 0 0 1 0 0 1 0 1 0 | 0 1 0 1 1 0 .... .... .x.. & | 0 2 | * * * 24 * | 0 0 0 0 1 0 1 0 1 | 0 0 1 1 0 1 .oo.3.oo.3.oo.&#x | 0 2 | * * * * 12 | 0 0 0 0 0 0 0 2 2 | 0 0 0 2 1 1 ---------------------+-------+----------------+------------------------+------------ o...3x... .... & | 3 0 | 3 0 0 0 0 | 8 * * * * * * * * | 1 1 0 0 0 0 .... x...3o... & | 3 0 | 3 0 0 0 0 | * 8 * * * * * * * | 1 0 1 0 0 0 ox.. .... ....&#x & | 1 2 | 0 2 1 0 0 | * * 24 * * * * * * | 0 1 0 1 0 0 .... xo.. ....&#x & | 2 1 | 1 2 0 0 0 | * * * 24 * * * * * | 0 1 1 0 0 0 .... .... ox..&#x & | 1 2 | 0 2 0 1 0 | * * * * 24 * * * * | 0 0 1 1 0 0 .x..3.o.. .... & | 0 3 | 0 0 3 0 0 | * * * * * 8 * * * | 0 1 0 0 1 0 .... .o..3.x.. & | 0 3 | 0 0 0 3 0 | * * * * * * 8 * * | 0 0 1 0 0 1 .xx. .... ....&#x | 0 4 | 0 0 2 0 2 | * * * * * * * 12 * | 0 0 0 1 1 0 .... .... .xx.&#x | 0 4 | 0 0 0 2 2 | * * * * * * * * 12 | 0 0 0 1 0 1 ---------------------+-------+----------------+------------------------+------------ o...3x...3o... & ♦ 6 0 | 12 0 0 0 0 | 4 4 0 0 0 0 0 0 0 | 2 * * * * * ox..3xo.. ....&#x & ♦ 3 3 | 3 6 3 0 0 | 1 0 3 3 0 1 0 0 0 | * 8 * * * * .... xo..3ox..&#x & ♦ 3 3 | 3 6 0 3 0 | 0 1 0 3 3 0 1 0 0 | * * 8 * * * oxxo .... oxxo&#xt ♦ 2 8 | 0 8 4 4 4 | 0 0 4 0 4 0 0 2 2 | * * * 6 * * .xx.3.oo. ....&#x ♦ 0 6 | 0 0 6 0 3 | 0 0 0 0 0 2 0 3 0 | * * * * 4 * .... .oo.3.xx.&#x ♦ 0 6 | 0 0 0 6 3 | 0 0 0 0 0 0 2 0 3 | * * * * * 4
wx xo3ox4oo&#zx → height = 0 (tegum sum of (w,x)-ope and cope) o. o.3o.4o. | 12 * ♦ 4 4 0 0 | 4 4 4 0 0 | 1 1 4 0 .o .o3.o4.o | * 24 | 0 2 1 4 | 0 1 4 4 2 | 0 2 2 2 ----------------+-------+-------------+----------------+--------- .. x. .. .. | 2 0 | 24 * * * | 2 1 0 0 0 | 1 0 2 0 oo oo3oo4oo&#x | 1 1 | * 48 * * | 0 1 2 0 0 | 0 1 2 0 .x .. .. ..&#x | 0 2 | * * 12 * | 0 0 0 4 0 | 0 2 0 2 .. .. .x .. | 0 2 | * * * 48 | 0 0 1 1 1 | 0 1 1 1 ----------------+-------+-------------+----------------+--------- .. x.3o. .. | 3 0 | 3 0 0 0 | 16 * * * * | 1 0 1 0 .. xo .. ..&#x | 2 1 | 1 2 0 0 | * 24 * * * | 0 0 2 0 .. .. ox ..&#x | 1 2 | 0 2 0 1 | * * 48 * * | 0 1 1 0 .x .. .x ..&#x | 0 4 | 0 0 2 2 | * * * 24 * | 0 1 0 1 .. .o3.x .. | 0 3 | 0 0 0 3 | * * * * 16 | 0 0 1 1 ----------------+-------+-------------+----------------+--------- .. x.3o.4o. ♦ 6 0 | 12 0 0 0 | 8 0 0 0 0 | 2 * * * wx .. ox4oo&#xt ♦ 2 8 | 0 8 4 8 | 0 0 8 4 0 | * 6 * * .. xo3ox ..&#x ♦ 3 3 | 3 6 0 3 | 1 3 3 0 1 | * * 16 * .x .o3.x ..&#x ♦ 0 6 | 0 0 3 6 | 0 0 0 3 2 | * * * 8
(wx)(wx)(wx) (ox)(xo)(ox)4(oo)(oq)(oo)&#xt → both heights = 1/sqrt(2) = 0.707107 (esquidpy || pseudo pexco || esquidpy) (o.)(..)(..) (o.)(..)(..)4(o.)(..)(..) & | 4 * * * ♦ 4 4 0 0 0 0 0 0 0 | 4 4 4 0 0 0 0 0 | 1 1 4 0 0 (.o)(..)(..) (.o)(..)(..)4(.o)(..)(..) & | * 16 * * | 1 0 1 2 1 2 0 0 0 | 2 0 1 2 2 2 2 0 | 1 0 2 1 2 (..)(o.)(..) (..)(o.)(..)4(..)(o.)(..) | * * 8 * ♦ 0 2 0 0 2 0 2 2 0 | 0 4 2 0 0 0 4 2 | 0 1 4 1 0 (..)(.o)(..) (..)(.o)(..)4(..)(.o)(..) | * * * 8 | 0 0 0 0 0 4 0 2 1 | 0 0 0 0 4 2 4 1 | 0 0 2 2 2 ---------------------------------------------+----------+-------------------------+-----------------------+----------- (oo)(..)(..) (oo)(..)(..)4(oo)(..)(..)&#x & | 1 1 0 0 | 16 * * * * * * * * | 2 0 1 0 0 0 0 0 | 1 0 2 0 0 (o.)(o.)(..) (o.)(o.)(..)4(o.)(o.)(..)&#x & | 1 0 1 0 | * 16 * * * * * * * | 0 2 1 0 0 0 0 0 | 0 1 2 0 0 (.x)(..)(..) (..)(..)(..) (..)(..)(..) & | 0 2 0 0 | * * 8 * * * * * * | 0 0 0 2 2 0 0 0 | 1 0 0 1 2 (..)(..)(..) (.x)(..)(..) (..)(..)(..) & | 0 2 0 0 | * * * 16 * * * * * | 1 0 0 1 0 1 0 0 | 1 0 1 0 1 (.o)(o.)(..) (.o)(o.)(..)4(.o)(o.)(..)&#x & | 0 1 1 0 | * * * * 16 * * * * | 0 0 1 0 0 0 2 0 | 0 0 2 1 0 (.o)(.o)(..) (.o)(.o)(..)4(.o)(.o)(..)&#x & | 0 1 0 1 | * * * * * 32 * * * | 0 0 0 0 1 1 1 0 | 0 0 1 1 1 (..)(..)(..) (..)(x.)(..) (..)(..)(..) | 0 0 2 0 | * * * * * * 8 * * | 0 2 0 0 0 0 0 1 | 0 1 2 0 0 (..)(oo)(..) (..)(oo)(..)4(..)(oo)(..)&#x | 0 0 1 1 | * * * * * * * 16 * | 0 0 0 0 0 0 2 1 | 0 0 2 1 0 (..)(.x)(..) (..)(..)(..) (..)(..)(..) | 0 0 0 2 | * * * * * * * * 4 | 0 0 0 0 4 0 0 0 | 0 0 0 2 2 ---------------------------------------------+----------+-------------------------+-----------------------+----------- (..)(..)(..) (ox)(..)(..) (..)(..)(..)&#x & | 1 2 0 0 | 2 0 0 1 0 0 0 0 0 | 16 * * * * * * * | 1 0 1 0 0 (..)(..)(..) (o.)(x.)(..) (..)(..)(..)&#x & | 1 0 2 0 | 0 2 0 0 0 0 1 0 0 | * 16 * * * * * * | 0 1 1 0 0 (oo)(o.)(..) (oo)(o.)(..)4(oo)(o.)(..)&#x & | 1 1 1 0 | 1 1 0 0 1 0 0 0 0 | * * 16 * * * * * | 0 0 2 0 0 (.x)(..)(..) (.x)(..)(..) (..)(..)(..) & | 0 4 0 0 | 0 0 2 2 0 0 0 0 0 | * * * 8 * * * * | 1 0 0 0 1 (.x)(.x)(..) (..)(..)(..) (..)(..)(..)&#x & | 0 2 0 2 | 0 0 1 0 0 2 0 0 1 | * * * * 16 * * * | 0 0 0 1 1 (..)(..)(..) (.x)(.o)(..) (..)(..)(..)&#x & | 0 2 0 1 | 0 0 0 1 0 2 0 0 0 | * * * * * 16 * * | 0 0 2 0 0 (.o)(oo)(..) (.o)(oo)(..)4(.o)(oo)(..)&#x & | 0 1 1 1 | 0 0 0 0 1 1 0 1 0 | * * * * * * 32 * | 0 0 1 1 0 (..)(..)(..) (..)(xo)(..) (..)(..)(..)&#x | 0 0 2 1 | 0 0 0 0 0 0 1 2 0 | * * * * * * * 8 | 0 0 2 0 0 ---------------------------------------------+----------+-------------------------+-----------------------+----------- (wx)(..)(..) (ox)(..)(..)4(oo)(..)(..)&#zx & ♦ 2 8 0 0 | 8 0 4 8 0 0 0 0 0 | 8 0 0 4 0 0 0 0 | 2 * * * * (..)(..)(..) (o.)(x.)(o.)4(o.)(o.)(o.)&#xt ♦ 2 0 4 0 | 0 8 0 0 0 0 4 0 0 | 0 8 0 0 0 0 0 0 | * 2 * * * (..)(..)(..) (ox)(xo)(..) (..)(..)(..)&#xr & ♦ 1 2 2 1 | 2 2 0 1 2 2 1 2 0 | 1 1 2 0 0 1 2 1 | * * 16 * * (.x)(wx)(.x) (..)(..)(..) (.o)(oq)(.o)&#xt ♦ 0 4 2 4 | 0 0 2 0 4 8 0 4 2 | 0 0 0 0 4 0 8 0 | * * * 4 * (.x)(.x)(..) (.x)(.o)(..) (..)(..)(..)&#x & ♦ 0 4 0 2 | 0 0 2 2 0 4 0 0 1 | 0 0 0 1 2 2 0 0 | * * * * 8
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