Acronym | pexrico |
Name | partially (mono-)expanded rico |
Lace city in approx. ASCII-art |
x4o o4q o4q x4o x4o u4o x4q x4q u4o x4o o4q x4q x4q o4q x4o u4o x4q x4q u4o x4o x4o o4q o4q x4o |
Face vector | 120, 336, 272, 56 |
Confer |
The non-regular hexagons {(h,H,H)2} are diagonally elongated squares. Its vertex angles are h = 90° resp. H = 135°.
Incidence matrix according to Dynkin symbol
oxxxxo3xxooxx4ooqqoo&#xt → all but central heights = 1/sqrt(2) = 0.707107 central height = 1 (co || pseudo toe || pseudo (x,q)-sirco || pseudo (x,q)-sirco || pseudo toe || co) o.....3o.....4o..... & | 24 * * | 4 2 0 0 0 0 0 | 2 2 1 4 0 0 0 0 0 0 | 1 2 2 0 0 0 .o....3.o....4.o.... & | * 48 * | 0 1 1 2 2 0 0 | 0 0 1 2 1 2 2 1 0 0 | 0 2 1 1 1 0 ..o...3..o...4..o... & | * * 48 | 0 0 0 0 2 2 1 | 0 0 0 0 0 2 1 2 1 2 | 0 1 0 2 1 1 ----------------------------+----------+----------------------+-------------------------------+--------------- ...... x..... ...... & | 2 0 0 | 48 * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0 0 oo....3oo....4oo....&#x & | 1 1 0 | * 48 * * * * * | 0 0 1 2 0 0 0 0 0 0 | 0 2 1 0 0 0 .x.... ...... ...... & | 0 2 0 | * * 24 * * * * | 0 0 1 0 0 2 0 0 0 0 | 0 2 0 1 0 0 ...... .x.... ...... & | 0 2 0 | * * * 48 * * * | 0 0 0 1 1 0 1 0 0 0 | 0 1 1 0 1 0 .oo...3.oo...4.oo...&#x & | 0 1 1 | * * * * 96 * * | 0 0 0 0 0 1 1 1 0 0 | 0 1 0 1 1 0 ..x... ...... ...... & | 0 0 2 | * * * * * 48 * | 0 0 0 0 0 1 0 0 1 1 | 0 1 0 1 0 1 ..oo..3..oo..4..oo..&#x | 0 0 2 | * * * * * * 24 | 0 0 0 0 0 0 0 2 0 2 | 0 0 0 2 1 1 ----------------------------+----------+----------------------+-------------------------------+--------------- o.....3x..... ...... & | 3 0 0 | 3 0 0 0 0 0 0 | 16 * * * * * * * * * | 1 1 0 0 0 0 ...... x.....4o..... & | 4 0 0 | 4 0 0 0 0 0 0 | * 12 * * * * * * * * | 1 0 1 0 0 0 ox.... ...... ......&#x & | 1 2 0 | 0 2 1 0 0 0 0 | * * 24 * * * * * * * | 0 2 0 0 0 0 ...... xx.... ......&#x & | 2 2 0 | 1 2 0 1 0 0 0 | * * * 48 * * * * * * | 0 1 1 0 0 0 ...... .x....4.o.... & | 0 4 0 | 0 0 0 4 0 0 0 | * * * * 12 * * * * * | 0 0 1 0 1 0 .xx... ...... ......&#x & | 0 2 2 | 0 0 1 0 2 1 0 | * * * * * 48 * * * * | 0 1 0 1 0 0 ...... .xo... ......&#x & | 0 2 1 | 0 0 0 1 2 0 0 | * * * * * * 48 * * * | 0 1 0 0 1 0 ...... ...... .oqqo.&#xt | 0 2 4 | 0 0 0 0 4 0 2 | * * * * * * * 24 * * | 0 0 0 1 1 0 {(h,H,H)2} ..x...3..o... ...... & | 0 0 3 | 0 0 0 0 0 3 0 | * * * * * * * * 16 * | 0 1 0 0 0 1 ..xx.. ...... ......&#x | 0 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * * 24 | 0 0 0 1 0 1 ----------------------------+----------+----------------------+-------------------------------+--------------- o.....3x.....4o..... & ♦ 12 0 0 | 24 0 0 0 0 0 0 | 8 6 0 0 0 0 0 0 0 0 | 2 * * * * * oxx...3xxo... ......&#xt & ♦ 3 6 3 | 3 6 3 3 6 3 0 | 1 0 3 3 0 3 3 0 1 0 | * 16 * * * * ...... xx....4oo....&#x & ♦ 4 4 0 | 4 4 0 4 0 0 0 | 0 1 0 4 1 0 0 0 0 0 | * * 12 * * * .xxxx. ...... .oqqo.&#xt ♦ 0 4 8 | 0 0 2 0 8 4 4 | 0 0 0 0 0 4 0 2 0 2 | * * * 12 * * ...... .xoox.4.oqqo.&#xt ♦ 0 8 8 | 0 0 0 8 16 0 4 | 0 0 0 0 2 0 8 4 0 0 | * * * * 6 * ..xx..3..oo.. ......&#x ♦ 0 0 6 | 0 0 0 0 0 6 3 | 0 0 0 0 0 0 0 0 2 3 | * * * * * 8
oxx3xxo4ooq Xwx&#zxt → heights = 0, X=Q+x=w+q = 3.828427 (tegum sum of (x,X)-cope, (x,x,w)-ticcup, and (x,q,x)-sircope) o..3o..4o.. o.. | 24 * * | 4 2 0 0 0 0 0 | 2 2 1 4 0 0 0 0 0 0 | 1 2 2 0 0 0 .o.3.o.4.o. .o. | * 48 * | 0 1 1 2 2 0 0 | 0 0 1 2 1 2 2 1 0 0 | 0 2 1 1 1 0 ..o3..o4..o ..o | * * 48 | 0 0 0 0 2 2 1 | 0 0 0 0 0 2 1 2 1 2 | 0 1 0 2 1 1 ---------------------+----------+----------------------+-------------------------------+--------------- ... x.. ... ... | 2 0 0 | 48 * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0 0 oo.3oo.4oo. oo.&#x | 1 1 0 | * 48 * * * * * | 0 0 1 2 0 0 0 0 0 0 | 0 2 1 0 0 0 .x. ... ... ... | 0 2 0 | * * 24 * * * * | 0 0 1 0 0 2 0 0 0 0 | 0 2 0 1 0 0 ... .x. ... ... | 0 2 0 | * * * 48 * * * | 0 0 0 1 1 0 1 0 0 0 | 0 1 1 0 1 0 .oo3.oo4.oo .oo&#x | 0 1 1 | * * * * 96 * * | 0 0 0 0 0 1 1 1 0 0 | 0 1 0 1 1 0 ..x ... ... ... | 0 0 2 | * * * * * 48 * | 0 0 0 0 0 1 0 0 1 1 | 0 1 0 1 0 1 ... ... ... ..x | 0 0 2 | * * * * * * 24 | 0 0 0 0 0 0 0 2 0 2 | 0 0 0 2 1 1 ---------------------+----------+----------------------+-------------------------------+--------------- o..3x.. ... ... | 3 0 0 | 3 0 0 0 0 0 0 | 16 * * * * * * * * * | 1 1 0 0 0 0 ... x..4o.. ... | 4 0 0 | 4 0 0 0 0 0 0 | * 12 * * * * * * * * | 1 0 1 0 0 0 ox. ... ... ...&#x | 1 2 0 | 0 2 1 0 0 0 0 | * * 24 * * * * * * * | 0 2 0 0 0 0 ... xx. ... ...&#x | 2 2 0 | 1 2 0 1 0 0 0 | * * * 48 * * * * * * | 0 1 1 0 0 0 ... .x.4.o. ... | 0 4 0 | 0 0 0 4 0 0 0 | * * * * 12 * * * * * | 0 0 1 0 1 0 .xx ... ... ...&#x | 0 2 2 | 0 0 1 0 2 1 0 | * * * * * 48 * * * * | 0 1 0 1 0 0 ... .xo ... ...&#x | 0 2 1 | 0 0 0 1 2 0 0 | * * * * * * 48 * * * | 0 1 0 0 1 0 ... ... .oq .wx&#zx | 0 2 4 | 0 0 0 0 4 0 2 | * * * * * * * 24 * * | 0 0 0 1 1 0 {(h,H,H)2} ..x3..o ... ... | 0 0 3 | 0 0 0 0 0 3 0 | * * * * * * * * 16 * | 0 1 0 0 0 1 ..x ... ... ..x | 0 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * * 24 | 0 0 0 1 0 1 ---------------------+----------+----------------------+-------------------------------+--------------- o..3x..4o.. ... ♦ 12 0 0 | 24 0 0 0 0 0 0 | 8 6 0 0 0 0 0 0 0 0 | 2 * * * * * oxx3xxo ... ...&#xt ♦ 3 6 3 | 3 6 3 3 6 3 0 | 1 0 3 3 0 3 3 0 1 0 | * 16 * * * * ... xx.4oo. ...&#x ♦ 4 4 0 | 4 4 0 4 0 0 0 | 0 1 0 4 1 0 0 0 0 0 | * * 12 * * * .xx ... .oq .wx&#zx ♦ 0 4 8 | 0 0 2 0 8 4 4 | 0 0 0 0 0 4 0 2 0 2 | * * * 12 * * ... .xo4.oq .wx&#zx ♦ 0 8 8 | 0 0 0 8 16 0 4 | 0 0 0 0 2 0 8 4 0 0 | * * * * 6 * ..x3..o ... ..x ♦ 0 0 6 | 0 0 0 0 0 6 3 | 0 0 0 0 0 0 0 0 2 3 | * * * * * 8
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