| Acronym | ... |
| Name |
point || pseudo hax || gee, Dutour polyexon type A |
|
Lace city in approx. ASCII-art |
o where:
H H = x3o3o *b3o3o (hin)
T o h = o3o3x *b3o3o (alternate hin)
h T = o3o3o *b3o3x (tac)
o o = o3o3o *b3o3o (point)
| | + o3o3o *b3o3o3o (point)
| +---- x3o3o *b3o3o3o (hax)
+-------- o3o3o *b3o3o3x (gee)
|
| Coordinates |
|
| Face vector | 45, 524, 2480, 5520, 5884, 2692, 329 |
| Confer |
|
This polyexon is nothing but an external blend of haxpy and gahax, adjoining at an hax. There it just happens that the dihedral angle between the hinpies becomes flat, i.e. they join into an hint each.
Incidence matrix according to Dynkin symbol
oxo3ooo3ooo *b3ooo3ooo3oox&#xt → both heights = 1/2 (pt || (pseudo) hax || gee) o..3o..3o.. *b3o..3o..3o.. | 1 * * ♦ 32 0 0 0 | 240 0 0 0 0 | 640 0 0 0 0 0 0 | 160 480 0 0 0 0 0 0 0 0 | 60 192 0 0 0 0 0 0 0 0 0 0 | 12 32 0 0 0 0 0 .o.3.o.3.o. *b3.o.3.o.3.o. | * 32 * | 1 15 6 0 | 15 60 60 15 0 | 60 20 60 180 90 20 0 | 20 60 15 30 60 120 180 60 15 0 | 0 30 6 30 30 60 60 60 15 6 0 0 | 6 6 15 20 6 1 0 ..o3..o3..o *b3..o3..o3..o | * * 12 ♦ 0 0 16 10 | 0 0 80 80 40 | 0 0 0 160 240 160 80 | 0 0 0 0 40 80 320 240 160 80 | 0 0 0 10 16 80 80 160 60 80 16 16 | 1 0 10 40 16 16 1 -------------------------------+---------+---------------+---------------------+-------------------------------+-----------------------------------------+---------------------------------------------+--------------------- oo.3oo.3oo. *b3oo.3oo.3oo.&#x | 1 1 0 | 32 * * * ♦ 15 0 0 0 0 | 60 0 0 0 0 0 0 | 20 60 0 0 0 0 0 0 0 0 | 15 30 0 0 0 0 0 0 0 0 0 0 | 6 6 0 0 0 0 0 .x. ... ... ... ... ... | 0 2 0 | * 240 * * | 1 8 4 0 0 | 8 4 12 24 6 0 0 | 4 12 6 8 12 24 24 4 0 0 | 6 8 2 12 8 12 12 8 1 0 0 0 | 4 2 6 4 2 0 0 .oo3.oo3.oo *b3.oo3.oo3.oo&#x | 0 1 1 | * * 192 * | 0 0 10 5 0 | 0 0 0 30 30 10 0 | 0 0 0 0 10 20 60 30 10 0 | 0 0 0 5 5 20 20 30 10 5 0 0 | 1 0 5 10 5 1 0 ... ... ... ... ... ..x | 0 0 2 | * * * 60 ♦ 0 0 0 8 8 | 0 0 0 0 24 32 24 | 0 0 0 0 0 0 32 48 48 32 | 0 0 0 0 0 8 8 32 24 32 8 8 | 0 0 1 8 8 8 1 -------------------------------+---------+---------------+---------------------+-------------------------------+-----------------------------------------+---------------------------------------------+--------------------- ox. ... ... ... ... ...&#x | 1 2 0 | 2 1 0 0 | 240 * * * * ♦ 8 0 0 0 0 0 0 | 4 12 0 0 0 0 0 0 0 0 | 6 8 0 0 0 0 0 0 0 0 0 0 | 4 2 0 0 0 0 0 .x.3.o. ... ... ... ... | 0 3 0 | 0 3 0 0 | * 640 * * * | 1 1 3 3 0 0 0 | 1 3 3 3 3 6 3 0 0 0 | 3 3 1 6 3 3 3 1 0 0 0 0 | 3 1 3 1 1 0 0 .xo ... ... ... ... ...&#x | 0 2 1 | 0 1 2 0 | * * 960 * * | 0 0 0 6 3 0 0 | 0 0 0 0 3 6 12 3 0 0 | 0 0 0 3 2 6 6 6 1 0 0 0 | 1 0 3 3 2 0 0 ... ... ... ... ... .ox&#x | 0 1 2 | 0 0 2 1 | * * * 480 * | 0 0 0 0 6 4 0 | 0 0 0 0 0 0 12 12 6 0 | 0 0 0 0 0 4 4 12 6 4 0 0 | 0 0 1 4 4 1 0 ... ... ... ... ..o3..x | 0 0 3 | 0 0 0 3 | * * * * 160 ♦ 0 0 0 0 0 4 6 | 0 0 0 0 0 0 0 6 12 12 | 0 0 0 0 0 0 0 4 6 12 4 4 | 0 0 0 1 4 4 1 -------------------------------+---------+---------------+---------------------+-------------------------------+-----------------------------------------+---------------------------------------------+--------------------- ox.3oo. ... ... ... ...&#x ♦ 1 3 0 | 3 3 0 0 | 3 1 0 0 0 | 640 * * * * * * | 1 3 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 0 0 0 | 3 1 0 0 0 0 0 .x.3.o.3.o. ... ... ... ♦ 0 4 0 | 0 6 0 0 | 0 4 0 0 0 | * 160 * * * * * | 1 0 3 0 3 0 0 0 0 0 | 3 0 0 6 0 3 0 0 0 0 0 0 | 3 0 3 1 0 0 0 .x.3.o. ... *b3.o. ... ... ♦ 0 4 0 | 0 6 0 0 | 0 4 0 0 0 | * * 480 * * * * | 0 1 1 2 0 2 0 0 0 0 | 1 2 1 2 2 0 1 0 0 0 0 0 | 2 1 1 0 1 0 0 .xo3.oo ... ... ... ...&#x ♦ 0 3 1 | 0 3 3 0 | 0 1 3 0 0 | * * * 1920 * * * | 0 0 0 0 1 2 2 0 0 0 | 0 0 0 2 1 2 2 1 0 0 0 0 | 1 0 2 1 1 0 0 .xo ... ... ... ... .ox&#x ♦ 0 2 2 | 0 1 4 1 | 0 0 2 2 0 | * * * * 1440 * * | 0 0 0 0 0 0 4 2 0 0 | 0 0 0 0 0 2 2 4 1 0 0 0 | 0 0 1 2 2 0 0 ... ... ... ... .oo3.ox&#x ♦ 0 1 3 | 0 0 3 3 | 0 0 0 3 1 | * * * * * 640 * ♦ 0 0 0 0 0 0 0 3 3 0 | 0 0 0 0 0 0 0 3 3 3 0 0 | 0 0 0 1 3 1 0 ... ... ... ..o3..o3..x ♦ 0 0 4 | 0 0 0 6 | 0 0 0 0 4 | * * * * * * 240 ♦ 0 0 0 0 0 0 0 0 2 4 | 0 0 0 0 0 0 0 0 1 4 2 2 | 0 0 0 0 2 2 1 -------------------------------+---------+---------------+---------------------+-------------------------------+-----------------------------------------+---------------------------------------------+--------------------- ox.3oo.3oo. ... ... ...&#x ♦ 1 4 0 | 4 6 0 0 | 6 4 0 0 0 | 4 1 0 0 0 0 0 | 160 * * * * * * * * * | 3 0 0 0 0 0 0 0 0 0 0 0 | 3 0 0 0 0 0 0 ox.3oo. ... *b3oo. ... ...&#x ♦ 1 4 0 | 4 6 0 0 | 6 4 0 0 0 | 4 0 1 0 0 0 0 | * 480 * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 0 0 .x.3.o.3.o. *b3.o. ... ... ♦ 0 8 0 | 0 24 0 0 | 0 32 0 0 0 | 0 8 8 0 0 0 0 | * * 60 * * * * * * * | 1 0 0 2 0 0 0 0 0 0 0 0 | 2 0 1 0 0 0 0 .x.3.o. ... *b3.o.3.o. ... ♦ 0 5 0 | 0 10 0 0 | 0 10 0 0 0 | 0 0 5 0 0 0 0 | * * * 192 * * * * * * | 0 1 1 0 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0 0 .xo3.oo3.oo ... ... ...&#x ♦ 0 4 1 | 0 6 4 0 | 0 4 6 0 0 | 0 1 0 4 0 0 0 | * * * * 480 * * * * * | 0 0 0 2 0 2 0 0 0 0 0 0 | 1 0 2 1 0 0 0 .xo3.oo ... *b3.oo ... ...&#x ♦ 0 4 1 | 0 6 4 0 | 0 4 6 0 0 | 0 0 1 4 0 0 0 | * * * * * 960 * * * * | 0 0 0 1 1 0 1 0 0 0 0 0 | 1 0 1 0 1 0 0 .xo3.oo ... ... ... .ox&#x ♦ 0 3 2 | 0 3 6 1 | 0 1 6 3 0 | 0 0 0 2 3 0 0 | * * * * * * 1920 * * * | 0 0 0 0 0 1 1 1 0 0 0 0 | 0 0 1 1 1 0 0 .xo ... ... ... .oo3.ox&#x ♦ 0 2 3 | 0 1 6 3 | 0 0 3 6 1 | 0 0 0 0 3 2 0 | * * * * * * * 960 * * | 0 0 0 0 0 0 0 2 1 0 0 0 | 0 0 0 1 2 0 0 ... ... ... .oo3.oo3.ox&#x ♦ 0 1 4 | 0 0 4 6 | 0 0 0 6 4 | 0 0 0 0 0 4 1 | * * * * * * * * 480 * | 0 0 0 0 0 0 0 0 1 2 0 0 | 0 0 0 0 2 1 0 ... ..o ... *b3..o3..o3..x ♦ 0 0 5 | 0 0 0 10 | 0 0 0 0 10 | 0 0 0 0 0 0 5 | * * * * * * * * * 192 | 0 0 0 0 0 0 0 0 0 1 1 1 | 0 0 0 0 1 1 1 -------------------------------+---------+---------------+---------------------+-------------------------------+-----------------------------------------+---------------------------------------------+--------------------- ox.3oo.3oo. *b3oo. ... ...&#x ♦ 1 8 0 | 8 24 0 0 | 24 32 0 0 0 | 32 8 8 0 0 0 0 | 8 8 1 0 0 0 0 0 0 0 | 60 * * * * * * * * * * * | 2 0 0 0 0 0 0 ox.3oo. ... *b3oo.3oo. ...&#x ♦ 1 5 0 | 5 10 0 0 | 10 10 0 0 0 | 10 0 5 0 0 0 0 | 0 5 0 1 0 0 0 0 0 0 | * 192 * * * * * * * * * * | 1 1 0 0 0 0 0 .x.3.o. ... *b3.o.3.o.3.o. ♦ 0 6 0 | 0 15 0 0 | 0 20 0 0 0 | 0 0 15 0 0 0 0 | 0 0 0 6 0 0 0 0 0 0 | * * 32 * * * * * * * * * | 0 1 0 0 1 0 0 .xo3.oo3.oo *b3.oo ... ...&#x ♦ 0 8 1 | 0 24 8 0 | 0 32 24 0 0 | 0 8 8 32 0 0 0 | 0 0 1 0 8 8 0 0 0 0 | * * * 120 * * * * * * * * | 1 0 1 0 0 0 0 .xo3.oo ... *b3.oo3.oo ...&#x ♦ 0 5 1 | 0 10 5 0 | 0 10 10 0 0 | 0 0 5 10 0 0 0 | 0 0 0 1 0 5 0 0 0 0 | * * * * 192 * * * * * * * | 1 0 0 0 1 0 0 .xo3.oo3.oo ... ... .ox&#x ♦ 0 4 2 | 0 6 8 1 | 0 4 12 4 0 | 0 1 0 8 6 0 0 | 0 0 0 0 2 0 4 0 0 0 | * * * * * 480 * * * * * * | 0 0 1 1 0 0 0 .xo3.oo ... *b3.oo ... .ox&#x ♦ 0 4 2 | 0 6 8 1 | 0 4 12 4 0 | 0 0 1 8 6 0 0 | 0 0 0 0 0 2 4 0 0 0 | * * * * * * 480 * * * * * | 0 0 1 0 1 0 0 .xo3.oo ... ... .oo3.ox&#x ♦ 0 3 3 | 0 3 9 3 | 0 1 9 9 1 | 0 0 0 3 9 3 0 | 0 0 0 0 0 0 3 3 0 0 | * * * * * * * 640 * * * * | 0 0 0 1 1 0 0 .xo ... ... .oo3.oo3.ox&#x ♦ 0 2 4 | 0 1 8 6 | 0 0 4 12 4 | 0 0 0 0 6 8 1 | 0 0 0 0 0 0 0 4 2 0 | * * * * * * * * 240 * * * | 0 0 0 0 2 0 0 ... .oo ... *b3.oo3.oo3.ox&#x ♦ 0 1 5 | 0 0 5 10 | 0 0 0 10 10 | 0 0 0 0 0 10 5 | 0 0 0 0 0 0 0 0 5 1 | * * * * * * * * * 192 * * | 0 0 0 0 1 1 0 ..o3..o ... *b3..o3..o3..x ♦ 0 0 6 | 0 0 0 15 | 0 0 0 0 20 | 0 0 0 0 0 0 15 | 0 0 0 0 0 0 0 0 0 6 | * * * * * * * * * * 32 * | 0 0 0 0 1 0 1 ... ..o3..o *b3..o3..o3..x ♦ 0 0 6 | 0 0 0 15 | 0 0 0 0 20 | 0 0 0 0 0 0 15 | 0 0 0 0 0 0 0 0 0 6 | * * * * * * * * * * * 32 | 0 0 0 0 0 1 1 -------------------------------+---------+---------------+---------------------+-------------------------------+-----------------------------------------+---------------------------------------------+--------------------- oxo3ooo3ooo *b3ooo3ooo ...&#xt ♦ 1 16 1 | 16 80 16 0 | 80 160 80 0 0 | 160 40 80 160 0 0 0 | 40 80 10 16 40 80 0 0 0 0 | 10 16 0 10 16 0 0 0 0 0 0 0 | 12 * * * * * * ox.3oo. ... *b3oo.3oo.3oo.&#x ♦ 1 6 0 | 6 15 0 0 | 15 20 0 0 0 | 20 0 15 0 0 0 0 | 0 15 0 6 0 0 0 0 0 0 | 0 6 1 0 0 0 0 0 0 0 0 0 | * 32 * * * * * .xo3.oo3.oo *b3.oo ... .ox&#x ♦ 0 8 2 | 0 24 16 1 | 0 32 48 8 0 | 0 8 8 64 24 0 0 | 0 0 1 0 16 16 32 0 0 0 | 0 0 0 2 0 8 8 0 0 0 0 0 | * * 60 * * * * .xo3.oo3.oo ... .oo3.ox&#x ♦ 0 4 3 | 0 6 12 3 | 0 4 18 12 1 | 0 1 0 12 18 4 0 | 0 0 0 0 3 0 12 6 0 0 | 0 0 0 0 0 3 0 4 0 0 0 0 | * * * 160 * * * .xo3.oo ... *b3.oo3.oo3.ox&#x ♦ 0 6 6 | 0 15 30 15 | 0 20 60 60 20 | 0 0 15 60 90 60 15 | 0 0 0 6 0 30 60 60 30 6 | 0 0 1 0 6 0 15 20 15 6 1 0 | * * * * 32 * * ... .oo3.oo *b3.oo3.oo3.ox&#x ♦ 0 1 6 | 0 0 6 15 | 0 0 0 15 20 | 0 0 0 0 0 20 15 | 0 0 0 0 0 0 0 0 15 6 | 0 0 0 0 0 0 0 0 0 6 0 1 | * * * * * 32 * ..o3..o3..o *b3..o3..o3..x ♦ 0 0 12 | 0 0 0 60 | 0 0 0 0 160 | 0 0 0 0 0 0 240 | 0 0 0 0 0 0 0 0 0 192 | 0 0 0 0 0 0 0 0 0 0 32 32 | * * * * * * 1
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