Klitzing wrote:Don't know whether you already kept track (in your CRF-research) of this one:
Bidex - (BI dex / bi24 diminished 600) - cells are 48 teddis, teddi is the tridiminished icosahedron. This object is convex and has directional tetrahedral swirlprism symmetry - its an unusual shaped dice! Bidex was discovered by Andrew Weimholt in 2004 and it got a bit of attention amongst the polychoronist. It's verf is a 6 sided chiral faceting of ike with 4 isosceles triangles and 2 trapezoids. Bidex has 72 vertices and it is orientable.
Just stumbled upon it in hedrondudes website at: Category S3: Special Scaliforms.
--- rk
72 | 2 4 | 2 3 5 | 6
---+--------+----------+---
2 | 72 * | 2 1 1 | 4 (bottom or top edges of teddi)
2 | * 144 | 0 1 2 | 3 (other edges of teddi)
---+--------+----------+---
3 | 3 0 | 48 * * | 2 (bottom or top {3} of teddi)
3 | 1 2 | * 72 * | 2 (lateral {3} of teddi)
5 | 1 4 | * * 72 | 2
---+--------+----------+---
9 | 6 9 | 2 3 3 | 48 (teddi)
quickfur wrote:It's a pretty cool shape. It's cell-transitive and vertex-transitive, and has a chiral version of the augmented 24-cell symmetry exhibited by o3x4x3o. It has two kinds of edges, as found by Keiji & myself in this thread, which are distributed in a chiral way round each cell. I independently (re)discovered its swirlprism-like symmetry while I was doing its projections for my website. It was a pretty exhilarating moment when it dawned on me.
72 | 4 2 | 2 3 5 | 6
---+--------+----------+---
2 | 144 * | 1 1 1 | 3 : bottom or top edges + one chiral edge each of the lateral {3} of teddi
2 | * 72 | 0 1 3 | 4 : other edges of teddi
---+--------+----------+---
3 | 3 0 | 48 * * | 2 : bottom or top {3} of teddi
3 | 2 1 | * 72 * | 2 : lateral {3} of teddi
5 | 2 3 | * * 72 | 2
---+--------+----------+---
9 | 9 6 | 2 3 3 | 48 : teddi
Klitzing wrote:Recently I have revisited ex (x3o3o5o), sadi (s3s4o3o), and bidex (a swirlsymmetric noble scaliform, all of its cells are teddi, i.e. tridiminished icosahedra).
[...]
Today I would like to have a look onto the related expanded versions each.
Edit: i.e. corresponding to the decoration string xoox
[...]
Klitzing wrote:Klitzing wrote:Recently I have revisited ex (x3o3o5o), sadi (s3s4o3o), and bidex (a swirlsymmetric noble scaliform, all of its cells are teddi, i.e. tridiminished icosahedra).
[...]
Today I would like to have a look onto the related expanded versions each.
Edit: i.e. corresponding to the decoration string xoox
[...]
Moreover we could try to use the small rhombated version (xoxo).
{...]
Klitzing wrote:... 600-24*20=120 coes (likewise corr. to those tets of sadi, which are completely surrounded by further tets) ...
| ex | 1-dim | sadi
------------+-------+-------+-------
vertices | 120 | -1 | 96
------------+-------+-------+-------
edges | 720 | -12 | 432
------------+-------+-------+-------
{3} | 1200 | -30 | 480
------------+-------+-------+-------
tet | 600 | -20 | 120
ike | 0 | +1 | 24
| srix | 1-dim | idsrix
------------+-------+-------+-------
vertices | 3600 | -30 | 2880
------------+-------+-------+-------
edges (sum) | 10800 | -120 | 7920
------------+-------+-------+-------
{3} (sum) | 3600 | -50 | 2400
{4} | 3600 | -60 | 2160
{5} | 1440 | -12 | 1152
{6} | 0 | +20 | 480
------------+-------+-------+-------
co | 600 | -20 | 120
pip | 720 | -12 | 432
id | 120 | -1 | 96
tricu | 0 | +20 | 480
ti | 0 | +1 | 24
| prix | 1-dim | idprix
------------+-------+-------+-------
vertices | 7200 | -60 | 5760
------------+-------+-------+-------
edges (sum) | 18000 | -210 | 12960
------------+-------+-------+-------
{3} (sum) | 4800 | -80 | 2880
{4} (sum) | 7200 | -120 | 4320
{6} | 0 | +20 | 480
{10} | 1440 | -12 | 1152
------------+-------+-------+-------
co | 600 | -20 | 120
trip | 1200 | -30 | 480
dip | 720 | -12 | 432
tid | 120 | -1 | 96
tricu | 0 | +20 | 480
grid | 0 | +1 | 24
| sid- | 1-dim | idsid
| pixhi | | pixhi
------------+-------+-------+-------
vertices | 2400 | -20 | 1920
------------+-------+-------+-------
edges (sum) | 7200 | -90 | 5040
------------+-------+-------+-------
{3} | 2400 | -60 | 960
{4} | 3600 | -60 | 2160
{5} | 1440 | -12 | 1152
------------+-------+-------+-------
tet | 600 | -20 | 120
trip | 1200 | -30 | 480
pip | 720 | -12 | 432
doe | 120 | -1 | 96
srid | 0 | +1 | 24
| ex | 1-dim | bidex
------------+-------+------------+-------
vertices | 120 | -1 | 72
------------+-------+------------+-------
edges | 720 | -7 -3/2 | 216
------------+-------+------------+-------
{3} | 1200 | -15 -15/2 | 120
{5} | 0 | +3/2 | 72
------------+-------+------------+-------
tet | 600 | -5 -15/2 | 0
teddi | 0 | +1 | 48
| sid- | 1-dim | bidsid
| pixhi | | pixhi
------------+-------+-----------+-------
vertices | 2400 | -20 | 1440
------------+-------+-----------+-------
edges (sum) | 7200 | -75 -15/2 | 3240
------------+-------+-----------+-------
{3} | 2400 | -30 -30/2 | 240
{4} | 3600 | -45 -15/2 | 1080
{5} | 1440 | -12 | 864
{10} | 0 | +3/2 | 72
------------+-------+-----------+-------
tet | 600 | -5 -15/2 | 0
trip | 1200 | -15 -15/2 | 120
pip | 720 | -9 -3/2 | 216
doe | 120 | -1 | 72
tedrid | 0 | +1 | 48
wendy wrote:Incidence matrices can not distinguish between two uniform polytopes that have the same vertex figure, but different constructs.
s3s4o3o
demi( . . . . ) | 96 | 3 6 | 3 9 3 | 3 1 4
----------------+----+---------+-----------+---------
. s4o . | 2 | 144 * | 0 2 2 | 1 1 2
sefa( s3s . . ) | 2 | * 288 | 1 2 0 | 2 0 1
----------------+----+---------+-----------+---------
s3s . . | 3 | 0 3 | 96 * * | 2 0 0
sefa( s3s4o . ) | 3 | 1 2 | * 288 * | 1 0 1
sefa( . s4o3o ) | 3 | 3 0 | * * 96 | 0 1 1
----------------+----+---------+-----------+---------
s3s4o . | 12 | 6 24 | 8 12 0 | 24 * * (ike)
. s4o3o | 4 | 6 0 | 0 0 4 | * 24 * (tet, in full symm.)
sefa( s3s4o3o ) | 4 | 3 3 | 0 3 1 | * * 96 (tet, in pyr. symm.)
A | 96 * * * * * | 3 0 0 0 0 0 0 3 0 0 0 0 0 | 3 0 0 0 0 6 0 0 0 0 0 3 0 0 0 | 1 0 3 0 0 3 0 1 0
B | * 288 * * * * | 1 2 0 0 0 0 0 0 2 0 1 0 0 | 0 1 2 0 0 2 2 0 2 0 0 2 1 0 0 | 0 1 1 2 0 2 1 1 0
C | * * 576 * * * | 0 1 1 1 0 0 0 0 0 1 0 1 0 | 0 0 0 1 0 0 1 1 1 1 0 1 1 1 0 | 0 0 0 1 0 1 1 1 1
D | * * * 576 * * | 0 0 0 1 1 1 0 0 0 0 0 0 2 | 0 0 0 0 1 0 0 0 0 2 2 0 1 1 1 | 0 0 0 0 1 0 2 1 1
E | * * * * 288 * | 0 0 0 0 0 2 1 0 0 0 0 2 0 | 0 0 0 1 0 0 0 0 2 2 0 0 0 1 2 | 0 0 0 1 0 0 2 1 1
F | * * * * * 96 | 0 0 0 0 0 0 3 0 0 0 3 0 0 | 0 0 3 0 0 0 0 0 6 0 0 0 0 0 3 | 0 1 0 3 0 0 3 1 0
--------+-----------------------+-----------------------------------------------------+-----------------------------------------------------------+------------------------------
AB | 1 1 0 0 0 0 | 288 * * * * * * * * * * * * | 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 | 0 0 1 0 0 2 0 1 0
BC | 0 1 1 0 0 0 | * 576 * * * * * * * * * * * | 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 | 0 0 0 1 0 1 1 1 0
CC | 0 0 2 0 0 0 | * * 288 * * * * * * * * * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 | 0 0 0 0 0 1 0 1 1
CD | 0 0 1 1 0 0 | * * * 576 * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 0 0 0 1 1 1
DD | 0 0 0 2 0 0 | * * * * 288 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 | 0 0 0 0 1 0 2 1 0
DE | 0 0 0 1 1 0 | * * * * * 576 * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 0 0 0 1 1 1
EF | 0 0 0 0 1 1 | * * * * * * 288 * * * * * * | 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 | 0 0 0 1 0 0 2 1 0
AA' | 2 0 0 0 0 0 | * * * * * * * 144 * * * * * | 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 | 1 0 2 0 0 1 0 0 0
BB' | 0 2 0 0 0 0 | * * * * * * * * 288 * * * * | 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 | 0 1 1 1 0 1 0 0 0
CC' | 0 0 2 0 0 0 | * * * * * * * * * 288 * * * | 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 | 0 0 0 1 0 1 0 0 1
BB*&FF# | 0 1 0 0 0 1 | * * * * * * * * * * 288 * * | 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 | 0 1 0 2 0 0 1 0 0
CC*&EE# | 0 0 1 0 1 0 | * * * * * * * * * * * 576 * | 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 | 0 0 0 1 0 0 1 0 1
DD*&DD# | 0 0 0 2 0 0 | * * * * * * * * * * * * 576 | 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 | 0 0 0 0 1 0 1 0 1
--------+-----------------------+-----------------------------------------------------+-----------------------------------------------------------+------------------------------
AB | 3 0 0 0 0 0 | 0 0 0 0 0 0 0 3 0 0 0 0 0 | 96 * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0
AB' | 0 3 0 0 0 0 | 0 0 0 0 0 0 0 0 3 0 0 0 0 | * 96 * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0
BC&EF' | 0 2 0 0 0 1 | 0 0 0 0 0 0 0 0 1 0 2 0 0 | * * 288 * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0
BC'&EF | 0 0 2 0 1 0 | 0 0 0 0 0 0 0 0 0 1 0 2 0 | * * * 288 * * * * * * * * * * * | 0 0 0 1 0 0 0 0 1
DD | 0 0 0 3 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 3 | * * * * 192 * * * * * * * * * * | 0 0 0 0 1 0 0 0 1
AB' | 2 2 0 0 0 0 | 2 0 0 0 0 0 0 1 1 0 0 0 0 | * * * * * 288 * * * * * * * * * | 0 0 1 0 0 1 0 0 0
BC' | 0 2 2 0 0 0 | 0 2 0 0 0 0 0 0 1 1 0 0 0 | * * * * * * 288 * * * * * * * * | 0 0 0 1 0 1 0 0 0
CC' | 0 0 4 0 0 0 | 0 0 2 0 0 0 0 0 0 2 0 0 0 | * * * * * * * 144 * * * * * * * | 0 0 0 0 0 1 0 0 1
BC*&EF# | 0 1 1 0 1 1 | 0 1 0 0 0 0 1 0 0 0 1 1 0 | * * * * * * * * 576 * * * * * * | 0 0 0 1 0 0 1 0 0
CD*&DE# | 0 0 1 2 1 0 | 0 0 0 1 0 1 0 0 0 0 0 1 1 | * * * * * * * * * 576 * * * * * | 0 0 0 0 0 0 1 0 1
DD*&DD# | 0 0 0 4 0 0 | 0 0 0 0 2 0 0 0 0 0 0 0 2 | * * * * * * * * * * 288 * * * * | 0 0 0 0 1 0 1 0 0
ABC | 1 2 2 0 0 0 | 2 2 1 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * 288 * * * | 0 0 0 0 0 1 0 1 0
BCD | 0 1 2 2 0 0 | 0 2 0 2 1 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * 288 * * | 0 0 0 0 0 0 1 1 0
CDE | 0 0 2 2 1 0 | 0 0 1 2 0 2 0 0 0 0 0 0 0 | * * * * * * * * * * * * * 288 * | 0 0 0 0 0 0 0 1 1
DEF | 0 0 0 2 2 1 | 0 0 0 0 1 2 2 0 0 0 0 0 0 | * * * * * * * * * * * * * * 288 | 0 0 0 0 0 0 1 1 0
--------+-----------------------+-----------------------------------------------------+-----------------------------------------------------------+------------------------------
A | 4 0 0 0 0 0 | 0 0 0 0 0 0 0 6 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 24 * * * * * * * *
B&F | 0 3 0 0 0 1 | 0 0 0 0 0 0 0 0 3 0 3 0 0 | 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 | * 96 * * * * * * *
AB | 3 3 0 0 0 0 | 3 0 0 0 0 0 0 3 3 0 0 0 0 | 1 1 0 0 0 3 0 0 0 0 0 0 0 0 0 | * * 96 * * * * * *
BC&EF | 0 2 2 0 1 1 | 0 2 0 0 0 0 1 0 1 1 2 2 0 | 0 0 1 1 0 0 1 0 2 0 0 0 0 0 0 | * * * 288 * * * * *
DD | 0 0 0 6 0 0 | 0 0 0 0 3 0 0 0 0 0 0 0 6 | 0 0 0 0 2 0 0 0 0 0 3 0 0 0 0 | * * * * 96 * * * *
ABC | 2 4 4 0 0 0 | 4 4 2 0 0 0 0 1 2 2 0 0 0 | 0 0 0 0 0 2 2 1 0 0 0 2 0 0 0 | * * * * * 144 * * *
BCD&DEF | 0 1 2 4 2 1 | 0 2 0 2 2 2 2 0 0 0 1 2 2 | 0 0 0 0 0 0 0 0 2 2 1 0 1 0 1 | * * * * * * 288 * *
doe | 1 3 6 6 3 1 | 3 6 3 6 3 6 3 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 | * * * * * * * 96 *
srid | 0 0 24 24 12 0 | 0 0 12 24 0 24 0 0 0 12 0 24 24 | 0 0 0 12 8 0 0 6 0 24 0 0 0 12 0 | * * * * * * * * 24
A | 288 * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 | 1 1 0 0 0 0 1 0 0 2 2 0 0 0 0 2 0 0 0 0 0 | 1 1 2 0 1 0 0 0
B | * 576 * * * * * | 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 | 0 1 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 0 0 0 | 0 1 1 1 1 1 0 0
C | * * 288 * * * * | 0 0 0 2 0 2 0 0 0 0 0 0 0 0 1 0 0 0 | 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 0 2 0 | 0 0 1 0 1 2 0 1
D | * * * 576 * * * | 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 | 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 | 0 0 0 1 1 1 1 1
E | * * * * 288 * * | 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 | 0 0 0 2 0 0 0 0 1 0 0 0 0 0 4 0 1 0 1 0 0 | 0 0 0 2 1 0 2 0
F | * * * * * 576 * | 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 0 | 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 | 0 0 0 1 1 1 1 1
G | * * * * * * 288 | 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 0 0 | 0 0 0 0 1 1 0 1 0 0 0 2 0 2 0 0 0 0 2 0 0 | 0 1 0 2 1 1 0 0
--------+-----------------------------+-------------------------------------------------------------------------+---------------------------------------------------------------------------------+----------------------------
AA | 2 0 0 0 0 0 0 | 288 * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0 0 0
AB | 1 1 0 0 0 0 0 | * 576 * * * * * * * * * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 | 0 1 1 0 1 0 0 0
BB | 0 2 0 0 0 0 0 | * * 288 * * * * * * * * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 | 0 1 0 1 1 0 0 0
BC | 0 1 1 0 0 0 0 | * * * 576 * * * * * * * * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 | 0 0 1 0 1 1 0 0
BD | 0 1 0 1 0 0 0 | * * * * 576 * * * * * * * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 | 0 0 0 1 1 1 0 0
CD | 0 0 1 1 0 0 0 | * * * * * 576 * * * * * * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 | 0 0 0 0 1 1 0 1
DE | 0 0 0 1 1 0 0 | * * * * * * 576 * * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 | 0 0 0 1 1 0 1 0
DF | 0 0 0 1 0 1 0 | * * * * * * * 576 * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 | 0 0 0 0 1 0 1 1
EF | 0 0 0 0 1 1 0 | * * * * * * * * 576 * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 | 0 0 0 1 1 0 1 0
FF | 0 0 0 0 0 2 0 | * * * * * * * * * 288 * * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 | 0 0 0 0 1 1 0 1
FG | 0 0 0 0 0 1 1 | * * * * * * * * * * 576 * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 | 0 0 0 1 1 1 0 0
GG | 0 0 0 0 0 0 2 | * * * * * * * * * * * 288 * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 | 0 1 0 1 1 0 0 0
AA' | 2 0 0 0 0 0 0 | * * * * * * * * * * * * 288 * * * * * | 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0
BB' | 0 2 0 0 0 0 0 | * * * * * * * * * * * * * 288 * * * * | 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 | 0 1 1 0 0 1 0 0
CC' | 0 0 2 0 0 0 0 | * * * * * * * * * * * * * * 144 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 | 0 0 1 0 0 2 0 1
BB*&GG# | 0 1 0 0 0 0 1 | * * * * * * * * * * * * * * * 576 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 | 0 1 0 1 0 1 0 0
DD*&FF# | 0 0 0 1 0 1 0 | * * * * * * * * * * * * * * * * 576 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 | 0 0 0 1 0 1 1 1
EE*&EE# | 0 0 0 0 2 0 0 | * * * * * * * * * * * * * * * * * 288 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 0 0 | 0 0 0 1 0 0 2 0
--------+-----------------------------+-------------------------------------------------------------------------+---------------------------------------------------------------------------------+----------------------------
AAA | 3 0 0 0 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 96 * * * * * * * * * * * * * * * * * * * * | 1 0 0 0 1 0 0 0
ABB | 1 2 0 0 0 0 0 | 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 288 * * * * * * * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0
BCD | 0 1 1 1 0 0 0 | 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * 576 * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 1 0 0
DEF | 0 0 0 1 1 1 0 | 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 | * * * 576 * * * * * * * * * * * * * * * * * | 0 0 0 0 1 0 1 0
FFG | 0 0 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 | * * * * 288 * * * * * * * * * * * * * * * * | 0 0 0 0 1 1 0 0
GGG | 0 0 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 | * * * * * 96 * * * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0
A | 3 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 | * * * * * * 96 * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0
B&G | 0 2 0 0 0 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 | * * * * * * * 288 * * * * * * * * * * * * * | 0 1 0 0 0 1 0 0
E | 0 0 0 0 3 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * 96 * * * * * * * * * * * * | 0 0 0 0 0 0 2 0
AA | 4 0 0 0 0 0 0 | 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 | * * * * * * * * * 144 * * * * * * * * * * * | 1 0 1 0 0 0 0 0
AB | 2 2 0 0 0 0 0 | 0 2 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 | * * * * * * * * * * 288 * * * * * * * * * * | 0 1 1 0 0 0 0 0
BB&GG | 0 2 0 0 0 0 2 | 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 | * * * * * * * * * * * 288 * * * * * * * * * | 0 1 0 1 0 0 0 0
BC | 0 2 2 0 0 0 0 | 0 0 0 2 0 0 0 0 0 0 0 0 0 1 1 0 0 0 | * * * * * * * * * * * * 288 * * * * * * * * | 0 0 1 0 0 1 0 0
BD&FG | 0 1 0 1 0 1 1 | 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 | * * * * * * * * * * * * * 576 * * * * * * * | 0 0 0 1 0 1 0 0
DE&EF | 0 0 0 1 2 1 0 | 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 | * * * * * * * * * * * * * * 576 * * * * * * | 0 0 0 1 0 0 1 0
ABC | 2 2 1 0 0 0 0 | 1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * 288 * * * * * | 0 0 1 0 1 0 0 0
BDE | 0 2 0 2 1 0 0 | 0 0 1 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * 288 * * * * | 0 0 0 1 1 0 0 0
CDF | 0 0 1 2 0 2 0 | 0 0 0 0 0 2 0 2 0 1 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * 288 * * * | 0 0 0 0 1 0 0 1
EFG | 0 0 0 0 1 2 2 | 0 0 0 0 0 0 0 0 2 0 2 1 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * 288 * * | 0 0 0 1 1 0 0 0
CD&FF | 0 0 2 2 0 2 0 | 0 0 0 0 0 2 0 0 0 1 0 0 0 0 1 0 2 0 | * * * * * * * * * * * * * * * * * * * 288 * | 0 0 0 0 0 1 0 1
DF | 0 0 0 3 0 3 0 | 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 | * * * * * * * * * * * * * * * * * * * * 192 | 0 0 0 0 0 0 1 1
--------+-----------------------------+-------------------------------------------------------------------------+---------------------------------------------------------------------------------+----------------------------
AAA | 12 0 0 0 0 0 0 | 12 0 0 0 0 0 0 0 0 0 0 0 12 0 0 0 0 0 | 4 0 0 0 0 0 4 0 0 6 0 0 0 0 0 0 0 0 0 0 0 | 24 * * * * * * *
ABB&GGG | 3 6 0 0 0 0 3 | 0 6 3 0 0 0 0 0 0 0 0 3 3 3 0 6 0 0 | 0 3 0 0 0 1 1 3 0 0 3 3 0 0 0 0 0 0 0 0 0 | * 96 * * * * * *
ABC | 4 4 2 0 0 0 0 | 2 4 0 4 0 0 0 0 0 0 0 0 2 2 1 0 0 0 | 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 2 0 0 0 0 0 | * * 144 * * * * *
BDE&EFG | 0 2 0 2 2 2 2 | 0 0 1 0 2 0 2 0 2 0 2 1 0 0 0 2 2 1 | 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1 0 1 0 0 | * * * 288 * * * *
id | 3 6 3 6 3 6 3 | 3 6 3 6 6 6 6 6 6 3 6 3 0 0 0 0 0 0 | 1 3 6 6 3 1 0 0 0 0 0 0 0 0 0 3 3 3 3 0 0 | * * * * 96 * * *
BCD&FFG | 0 2 2 2 0 2 1 | 0 0 0 2 2 2 0 0 0 1 2 0 0 1 1 2 2 0 | 0 0 2 0 1 0 0 1 0 0 0 0 1 2 0 0 0 0 0 1 0 | * * * * * 288 * *
DEF | 0 0 0 3 3 3 0 | 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 3 3 | 0 0 0 3 0 0 0 0 1 0 0 0 0 0 3 0 0 0 0 0 1 | * * * * * * 192 *
ti | 0 0 12 24 0 24 0 | 0 0 0 0 0 24 0 24 0 12 0 0 0 0 6 0 24 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 0 12 8 | * * * * * * * 24
Polyhedron Dude wrote:The names seem to be available. Although idsrix would be a good name for the 7-D id-srix duoprism, we could give the 4-D one dibs on the name. Bidiminished ex, srix, etc will have several varieties and less symmetry than the bi24diminished cases, so they will need an extra prefix in the name.
wendy wrote:'dibs' means something like claim. Give something first dibs means to give it a first claim on it.
A | 288 * * * * * * * * * * * | 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 | 1 0 0 0 0 0 1 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 | 1 0 1 0 0 2 0 1 0 0 0
B | * 288 * * * * * * * * * * | 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 | 0 1 0 0 0 0 0 1 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 | 0 1 1 0 0 2 0 1 0 0 0
C | * * 576 * * * * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 | 0 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 1 1 0 0 | 0 1 0 1 0 1 1 1 0 0 0
D | * * * 576 * * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 | 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 | 0 0 0 1 0 1 1 1 1 0 0
E | * * * * 576 * * * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 1 0 | 0 0 0 0 0 1 0 1 1 0 1
F | * * * * * 576 * * * * * * | 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 | 0 0 0 0 0 0 1 1 1 0 1
G | * * * * * * 576 * * * * * | 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 | 0 0 0 0 0 0 1 1 0 1 1
H | * * * * * * * 576 * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 | 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 1 0 1 | 0 0 0 0 1 0 2 1 0 1 0
I | * * * * * * * * 576 * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1 | 0 0 0 0 0 0 1 1 0 1 1
J | * * * * * * * * * 576 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 1 1 | 0 0 0 0 0 0 1 1 1 0 1
K | * * * * * * * * * * 288 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 2 0 0 0 | 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 | 0 0 0 1 0 0 2 1 1 0 0
L | * * * * * * * * * * * 288 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 2 0 0 0 0 | 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 | 0 1 0 1 0 0 2 1 0 0 0
------------+-------------------------------------------------+---------------------------------------------------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------+--------------------------------------
AA | 2 0 0 0 0 0 0 0 0 0 0 0 | 288 * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1 0 0 0 0 1 0 1 0 0 0
AB | 1 1 0 0 0 0 0 0 0 0 0 0 | * 288 * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 | 0 0 1 0 0 2 0 1 0 0 0
BC | 0 1 1 0 0 0 0 0 0 0 0 0 | * * 576 * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 0 1 0 0 0 1 0 1 0 0 0
CC | 0 0 2 0 0 0 0 0 0 0 0 0 | * * * 288 * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 | 0 1 0 0 0 0 1 1 0 0 0
CD | 0 0 1 1 0 0 0 0 0 0 0 0 | * * * * 576 * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 0 | 0 0 0 1 0 1 1 1 0 0 0
DE | 0 0 0 1 1 0 0 0 0 0 0 0 | * * * * * 576 * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 | 0 0 0 0 0 1 0 1 1 0 0
DF | 0 0 0 1 0 1 0 0 0 0 0 0 | * * * * * * 576 * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 | 0 0 0 0 0 0 1 1 1 0 0
EE | 0 0 0 0 2 0 0 0 0 0 0 0 | * * * * * * * 288 * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 | 0 0 0 0 0 1 0 1 0 0 1
EF | 0 0 0 0 1 1 0 0 0 0 0 0 | * * * * * * * * 576 * * * * * * * * * * * * * * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 | 0 0 0 0 0 0 0 1 1 0 1
FG | 0 0 0 0 0 1 1 0 0 0 0 0 | * * * * * * * * * 576 * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 | 0 0 0 0 0 0 1 1 0 0 1
GH | 0 0 0 0 0 0 1 1 0 0 0 0 | * * * * * * * * * * 576 * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 | 0 0 0 0 0 0 1 1 0 1 0
GI | 0 0 0 0 0 0 1 0 1 0 0 0 | * * * * * * * * * * * 576 * * * * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 | 0 0 0 0 0 0 0 1 0 1 1
HH | 0 0 0 0 0 0 0 2 0 0 0 0 | * * * * * * * * * * * * 288 * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 1 | 0 0 0 0 1 0 2 1 0 0 0
HI | 0 0 0 0 0 0 0 1 1 0 0 0 | * * * * * * * * * * * * * 576 * * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 | 0 0 0 0 0 0 1 1 0 1 0
IJ | 0 0 0 0 0 0 0 0 1 1 0 0 | * * * * * * * * * * * * * * 576 * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 | 0 0 0 0 0 0 1 1 0 0 1
JJ | 0 0 0 0 0 0 0 0 0 2 0 0 | * * * * * * * * * * * * * * * 288 * * * * * * * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 | 0 0 0 0 0 0 0 1 1 0 1
JK | 0 0 0 0 0 0 0 0 0 1 1 0 | * * * * * * * * * * * * * * * * 576 * * * * * * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 | 0 0 0 0 0 0 1 1 1 0 0
KL | 0 0 0 0 0 0 0 0 0 0 1 1 | * * * * * * * * * * * * * * * * * 288 * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 | 0 0 0 1 0 0 2 1 0 0 0
LL | 0 0 0 0 0 0 0 0 0 0 0 2 | * * * * * * * * * * * * * * * * * * 288 * * * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 | 0 1 0 0 0 0 1 1 0 0 0
AA' | 2 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * 288 * * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 0 0 1 0 0 0 0 0
BB' | 0 2 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * 288 * * * * * * * * | 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 0 1 0 0 0 0 0
CC' | 0 0 2 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * 288 * * * * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 0 1 0 0 0 0 0
DD' | 0 0 0 2 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * 288 * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 1 0 0 1 0 0
EE' | 0 0 0 0 2 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * 288 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 | 0 0 0 0 0 1 0 0 1 0 1
CC*&LL# | 0 0 1 0 0 0 0 0 0 0 0 1 | * * * * * * * * * * * * * * * * * * * * * * * * 576 * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 0 0 1 0 0 0 0
DD*&KK# | 0 0 0 1 0 0 0 0 0 0 1 0 | * * * * * * * * * * * * * * * * * * * * * * * * * 576 * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 0 1 0 1 0 0
FF*&JJ# | 0 0 0 0 0 1 0 0 0 1 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * 576 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 | 0 0 0 0 0 0 1 0 1 0 1
GG*&II# | 0 0 0 0 0 0 1 0 1 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * 576 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 | 0 0 0 0 0 0 1 0 0 1 1
HH*&HH# | 0 0 0 0 0 0 0 2 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * 576 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 | 0 0 0 0 1 0 1 0 0 1 0
------------+-------------------------------------------------+---------------------------------------------------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------+--------------------------------------
AAA | 3 0 0 0 0 0 0 0 0 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 96 * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 0 1 0 0 0
BCC | 0 1 2 0 0 0 0 0 0 0 0 0 | 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 288 * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 0 0 0 0 1 0 0 0
DEF | 0 0 0 1 1 1 0 0 0 0 0 0 | 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 576 * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 1 0 0
GHI | 0 0 0 0 0 0 1 1 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 576 * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 0 1 0
JJK | 0 0 0 0 0 0 0 0 0 2 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 288 * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 1 0 0
LLL | 0 0 0 0 0 0 0 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 | * * * * * 96 * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 0 0 0 0 1 0 0 0
A | 3 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 | * * * * * * 96 * * * * * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0
B | 0 3 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 | * * * * * * * 96 * * * * * * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 0
C&L | 0 0 2 0 0 0 0 0 0 0 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 | * * * * * * * * 288 * * * * * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0
D&K | 0 0 0 2 0 0 0 0 0 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 | * * * * * * * * * 288 * * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 0 1 0 0
H | 0 0 0 0 0 0 0 3 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * 192 * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 0 0 0 0 1 0
AA' | 4 0 0 0 0 0 0 0 0 0 0 0 | 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * 144 * * * * * * * * * * * * * * * * * | 1 0 0 0 0 1 0 0 0 0 0
AB' | 2 2 0 0 0 0 0 0 0 0 0 0 | 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * 288 * * * * * * * * * * * * * * * * | 0 0 1 0 0 1 0 0 0 0 0
BC' | 0 2 2 0 0 0 0 0 0 0 0 0 | 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 | * * * * * * * * * * * * * 288 * * * * * * * * * * * * * * * | 0 1 0 0 0 1 0 0 0 0 0
CD' | 0 0 2 2 0 0 0 0 0 0 0 0 | 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 | * * * * * * * * * * * * * * 288 * * * * * * * * * * * * * * | 0 0 0 1 0 1 0 0 0 0 0
DE' | 0 0 0 2 2 0 0 0 0 0 0 0 | 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | * * * * * * * * * * * * * * * 288 * * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 0 0
EE' | 0 0 0 0 4 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 | * * * * * * * * * * * * * * * * 144 * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 1
CC*&LL# | 0 0 2 0 0 0 0 0 0 0 0 2 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 | * * * * * * * * * * * * * * * * * 288 * * * * * * * * * * * | 0 1 0 0 0 0 1 0 0 0 0
CD*&KL# | 0 0 1 1 0 0 0 0 0 0 1 1 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 | * * * * * * * * * * * * * * * * * * 576 * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 0 0
DF*&JK# | 0 0 0 1 0 1 0 0 0 1 1 0 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 | * * * * * * * * * * * * * * * * * * * 576 * * * * * * * * * | 0 0 0 0 0 0 1 0 1 0 0
FG*&IJ# | 0 0 0 0 0 1 1 0 1 1 0 0 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 | * * * * * * * * * * * * * * * * * * * * 576 * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 1
GH*&HI# | 0 0 0 0 0 0 1 2 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 | * * * * * * * * * * * * * * * * * * * * * 576 * * * * * * * | 0 0 0 0 0 0 1 0 0 1 0
HH*&HH# | 0 0 0 0 0 0 0 4 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 | * * * * * * * * * * * * * * * * * * * * * * 288 * * * * * * | 0 0 0 0 1 0 1 0 0 0 0
EF&JJ | 0 0 0 0 2 2 0 0 0 2 0 0 | 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 2 0 0 | * * * * * * * * * * * * * * * * * * * * * * * 288 * * * * * | 0 0 0 0 0 0 0 0 1 0 1
GI | 0 0 0 0 0 0 3 0 3 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 | * * * * * * * * * * * * * * * * * * * * * * * * 192 * * * * | 0 0 0 0 0 0 0 0 0 1 1
ABCDE | 2 2 2 2 2 0 0 0 0 0 0 0 | 1 2 2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * 288 * * * | 0 0 0 0 0 1 0 1 0 0 0
CDFGH | 0 0 2 2 0 2 2 2 0 0 0 0 | 0 0 0 1 2 0 2 0 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * 288 * * | 0 0 0 0 0 0 1 1 0 0 0
EFGIJ | 0 0 0 0 2 2 2 0 2 2 0 0 | 0 0 0 0 0 0 0 1 2 2 0 2 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * 288 * | 0 0 0 0 0 0 0 1 0 0 1
HIJKL | 0 0 0 0 0 0 0 2 2 2 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * 288 | 0 0 0 0 0 0 1 1 0 0 0
------------+-------------------------------------------------+---------------------------------------------------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------+--------------------------------------
AAA | 12 0 0 0 0 0 0 0 0 0 0 0 | 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 0 0 0 0 0 0 0 0 0 | 4 0 0 0 0 0 4 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 24 * * * * * * * * * *
BCC&LLL | 0 3 6 0 0 0 0 0 0 0 0 3 | 0 0 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 3 0 0 6 0 0 0 0 | 0 3 0 0 0 1 0 1 3 0 0 0 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 | * 96 * * * * * * * * *
AB | 3 3 0 0 0 0 0 0 0 0 0 0 | 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 1 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 96 * * * * * * * *
CD&KL | 0 0 2 2 0 0 0 0 0 0 1 1 | 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 2 2 0 0 0 | 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | * * * 288 * * * * * * *
HH | 0 0 0 0 0 0 0 6 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 | * * * * 96 * * * * * *
ABCDE | 4 4 4 4 4 0 0 0 0 0 0 0 | 2 4 4 0 4 4 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 2 0 0 0 | * * * * * 144 * * * * *
CDFGH&HIJKL | 0 0 2 2 0 2 2 4 2 2 2 2 | 0 0 0 1 2 0 2 0 0 2 2 0 2 2 2 0 2 2 1 0 0 0 0 0 2 2 2 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 1 0 1 | * * * * * * 288 * * * *
tid | 3 3 6 6 6 6 6 6 6 6 3 3 | 3 3 6 3 6 6 6 3 6 6 6 6 3 6 6 3 6 3 3 0 0 0 0 0 0 0 0 0 0 | 1 3 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 | * * * * * * * 96 * * *
D&K | 0 0 0 2 2 2 0 0 0 2 1 0 | 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 1 2 0 0 0 0 0 1 1 0 2 2 0 0 | 0 0 2 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 2 0 0 0 1 0 0 0 0 0 | * * * * * * * * 288 * *
H | 0 0 0 0 0 0 3 3 3 0 0 0 | 0 0 0 0 0 0 0 0 0 0 3 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 | 0 0 0 3 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 3 0 0 1 0 0 0 0 | * * * * * * * * * 192 *
grid | 0 0 0 0 24 24 24 0 24 24 0 0 | 0 0 0 0 0 0 0 12 24 24 0 24 0 0 24 12 0 0 0 0 0 0 0 12 0 0 24 24 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 24 0 0 12 8 0 0 12 0 | * * * * * * * * * * 24
A | 2 * * | 1 1 1 1 0 0 | 2 1 1
B | * 2 * | 0 1 1 0 1 0 | 1 1 1
C | * * 2 | 0 0 0 1 1 1 | 0 1 2
-----+-------+-------------+------
AA | 2 0 0 | 1 * * * * * | 2 0 0 (tau-edge)
AB | 1 1 0 | * 2 * * * * | 1 0 1 (1-edges)
AB | 1 1 0 | * * 2 * * * | 1 1 0 (tau-edges)
AC | 1 0 1 | * * * 2 * * | 0 1 1 (tau-edges)
BC | 0 1 1 | * * * * 2 * | 0 1 1 (1-edges)
CC | 0 0 2 | * * * * * 1 | 0 0 2 (1-edge)
-----+-------+-------------+------
AAB | 2 1 0 | 1 1 1 0 0 0 | 2 * *
ABC | 1 1 1 | 0 0 1 1 1 0 | * 2 *
ABCC | 1 1 2 | 0 1 0 1 1 1 | * * 2
72 | 4 2 | 2 3 5 | 6
---+--------+----------+---
2 | 144 * | 1 1 1 | 3 : bottom or top edges + 1 chiral edge each of the lateral {3} of teddi
2 | * 72 | 0 1 3 | 4 : other edges of teddi
---+--------+----------+---
3 | 3 0 | 48 * * | 2 : bottom or top {3} of teddi
3 | 2 1 | * 72 * | 2 : lateral {3} of teddi
5 | 2 3 | * * 72 | 2
---+--------+----------+---
9 | 9 6 | 2 3 3 | 48 : teddi
Klitzing wrote:... and renaming always makes some trouble. - Which, btw. is one of your favourit themes, Wendy, isn't it?
--- rk
wendy wrote:...
7 yes, it is my favourite sense. (for 7, see unicode 8266 = x204A - it's an old english 'and'.)
C--A__
/ -__ ---A__
/ . -D------B
F b | . \
|\ . . | . c \
E \ __G__ . E
| I-- d - __ _ - |
| | . H F
| | / /
H_|. g . / /
J-- __ /_I
J
AA long edge of domain
CD long edge of domain
FI long edge of domain
AABDC inc. to pip (attach to type CDGIF): '
ABEFC inc. to tedrid
BDGHE inc. to tedrid
CDGIF inc. to pip (attach to type AABDC): *
EFIJH inc. to pip (attach to type EFIJH): #
GHJJI inc. to tedrid
BE inc. to 10
GH inc. to 10
JJ inc. to 10
A | 144 * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 | 1 0 0 2 1 1 0 0 0 0 0 2 1 0 0 0 0 0 | 1 0 2 0 1 1
B | * 144 * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 0 | 0 0 1 0 1 2
C | * * 144 * * * * * * * | 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 | 0 1 0 0 0 2 0 2 0 0 0 1 1 0 1 0 0 0 | 0 1 2 0 1 1
D | * * * 144 * * * * * * | 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 | 0 0 1 0 0 0 2 2 0 0 0 1 0 1 1 0 0 0 | 0 1 2 0 1 1
E | * * * * 144 * * * * * | 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 0 1 | 0 0 0 1 1 2
F | * * * * * 144 * * * * | 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 | 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 0 | 1 0 1 1 1 1
G | * * * * * * 144 * * * | 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 | 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 1 1 | 0 0 1 0 1 2
H | * * * * * * * 144 * * | 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 | 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 1 1 1 | 0 0 0 1 1 2
I | * * * * * * * * 144 * | 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 | 1 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 0 | 1 0 1 1 1 1
J | * * * * * * * * * 144 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 | 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 2 1 | 0 0 0 1 1 2
------------+-----------------------------------------+----------------------------------------------------------------------------------------------+---------------------------------------------------------------------+-------------------
AA | 2 0 0 0 0 0 0 0 0 0 | 72 * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 | 1 0 2 0 1 0
AB | 1 1 0 0 0 0 0 0 0 0 | * 144 * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 | 0 0 1 0 1 1
AC | 1 0 1 0 0 0 0 0 0 0 | * * 144 * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 | 0 0 1 0 1 1
BD | 0 1 0 1 0 0 0 0 0 0 | * * * 144 * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 | 0 0 1 0 1 1
BE | 0 1 0 0 1 0 0 0 0 0 | * * * * 144 * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 | 0 0 0 0 1 2
CD | 0 0 1 1 0 0 0 0 0 0 | * * * * * 144 * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 2 0 0 0 1 0 0 1 0 0 0 | 0 1 2 0 1 0
CF | 0 0 1 0 0 1 0 0 0 0 | * * * * * * 144 * * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 | 0 0 1 0 1 1
DG | 0 0 0 1 0 0 1 0 0 0 | * * * * * * * 144 * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 | 0 0 1 0 1 1
EF | 0 0 0 0 1 1 0 0 0 0 | * * * * * * * * 144 * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 | 0 0 0 1 1 1
EH | 0 0 0 0 1 0 0 1 0 0 | * * * * * * * * * 144 * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 | 0 0 0 1 1 1
FI | 0 0 0 0 0 1 0 0 1 0 | * * * * * * * * * * 144 * * * * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 | 1 0 1 1 1 0
GH | 0 0 0 0 0 0 1 1 0 0 | * * * * * * * * * * * 144 * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 0 1 2
GI | 0 0 0 0 0 0 1 0 1 0 | * * * * * * * * * * * * 144 * * * * * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 | 0 0 1 0 1 1
HJ | 0 0 0 0 0 0 0 1 0 1 | * * * * * * * * * * * * * 144 * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 | 0 0 0 1 1 1
IJ | 0 0 0 0 0 0 0 0 1 1 | * * * * * * * * * * * * * * 144 * * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 0 1 1 1
JJ | 0 0 0 0 0 0 0 0 0 2 | * * * * * * * * * * * * * * * 72 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 | 0 0 0 0 1 2
Ac'&F* | 1 0 0 0 0 1 0 0 0 0 | * * * * * * * * * * * * * * * * 144 * * * * * * * | 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 0 0 1
Ab'&I* | 1 0 0 0 0 0 0 0 1 0 | * * * * * * * * * * * * * * * * * 144 * * * * * * | 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 0 0 1
B'&G* | 0 1 0 0 0 0 1 0 0 0 | * * * * * * * * * * * * * * * * * * 144 * * * * * | 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 | 0 0 1 0 0 2
C'&C* | 0 0 2 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * 144 * * * * | 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 0 1
D'&D* | 0 0 0 2 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * 144 * * * | 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 0 1
E#&J# | 0 0 0 0 1 0 0 0 0 1 | * * * * * * * * * * * * * * * * * * * * * 144 * * | 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 | 0 0 0 1 0 2
F#&I# | 0 0 0 0 0 1 0 0 1 0 | * * * * * * * * * * * * * * * * * * * * * * 144 * | 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 | 1 0 0 1 0 1
H# | 0 0 0 0 0 0 0 2 0 0 | * * * * * * * * * * * * * * * * * * * * * * * 72 | 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 1 | 0 0 0 1 0 2
------------+-----------------------------------------+----------------------------------------------------------------------------------------------+---------------------------------------------------------------------+-------------------
A&F&I | 1 0 0 0 0 1 0 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 | 144 * * * * * * * * * * * * * * * * * | 1 0 0 0 0 1
C | 0 0 3 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 | * 48 * * * * * * * * * * * * * * * * | 0 1 0 0 0 1
D | 0 0 0 3 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 | * * 48 * * * * * * * * * * * * * * * | 0 1 0 0 0 1
AA'&FI* | 2 0 0 0 0 1 0 0 1 0 | 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 | * * * 144 * * * * * * * * * * * * * * | 1 0 1 0 0 0
AB'&GI* | 1 1 0 0 0 0 1 0 1 0 | 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 | * * * * 144 * * * * * * * * * * * * * | 0 0 1 0 0 1
AC'&CF* | 1 0 2 0 0 1 0 0 0 0 | 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 | * * * * * 144 * * * * * * * * * * * * | 0 0 1 0 0 1
BD'&DG* | 0 1 0 2 0 0 1 0 0 0 | 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 | * * * * * * 144 * * * * * * * * * * * | 0 0 1 0 0 1
CD'&CD* | 0 0 2 2 0 0 0 0 0 0 | 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 | * * * * * * * 144 * * * * * * * * * * | 0 1 1 0 0 0
EF#&IJ# | 0 0 0 0 1 1 0 0 1 1 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | * * * * * * * * 144 * * * * * * * * * | 0 0 0 1 0 1
EH#&HJ# | 0 0 0 0 1 0 0 2 0 1 | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 1 | * * * * * * * * * 144 * * * * * * * * | 0 0 0 1 0 1
FI# | 0 0 0 0 0 2 0 0 2 0 | 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 | * * * * * * * * * * 72 * * * * * * * | 1 0 0 1 0 0
AABDC | 2 1 1 1 0 0 0 0 0 0 | 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * 144 * * * * * * | 0 0 1 0 1 0
ABEFC | 1 1 1 0 1 1 0 0 0 0 | 0 1 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * 144 * * * * * | 0 0 0 0 1 1
BDGHE | 0 1 0 1 1 0 1 1 0 0 | 0 0 0 1 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * 144 * * * * | 0 0 0 0 1 1
CDGIF | 0 0 1 1 0 1 1 0 1 0 | 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * 144 * * * | 0 0 1 0 1 0
EFIJH | 0 0 0 0 1 1 0 1 1 1 | 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * 144 * * | 0 0 0 1 1 0
GHJJI | 0 0 0 0 0 0 1 1 1 2 | 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * 144 * | 0 0 0 0 1 1
decagon | 0 2 0 0 2 0 2 2 0 2 | 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 1 0 0 2 0 0 2 0 1 | * * * * * * * * * * * * * * * * * 72 | 0 0 0 0 0 2
------------+-----------------------------------------+----------------------------------------------------------------------------------------------+---------------------------------------------------------------------+-------------------
AA&FI | 2 0 0 0 0 2 0 0 2 0 | 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 0 2 0 | 2 0 0 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 72 * * * * *
CD | 0 0 3 3 0 0 0 0 0 0 | 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 | 0 1 1 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 | * 48 * * * *
AABDC&CDGIF | 2 1 2 2 0 1 1 0 1 0 | 1 1 1 1 0 2 1 1 0 0 1 0 1 0 0 0 1 1 1 1 1 0 0 0 | 0 0 0 1 1 1 1 1 0 0 0 1 0 0 1 0 0 0 | * * 144 * * *
EFIJH | 0 0 0 0 2 2 0 2 2 2 | 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 0 0 0 0 0 2 2 1 | 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 2 0 0 | * * * 72 * *
doe | 2 2 2 2 2 2 2 2 2 2 | 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 | * * * * 72 *
tedrid | 3 6 3 3 6 3 6 6 3 6 | 0 3 3 3 6 0 3 3 3 3 0 6 3 3 3 3 3 3 6 3 3 6 3 3 | 3 1 1 0 3 3 3 0 3 3 0 0 3 3 0 0 3 3 | * * * * * 48
-----------+--------------+-------------+
decoration | non-dim. | 8-dim. |
-----------+--------------+-------------+
xooo | ico | tes |
| (24 octs) | (8 cubes) |
-----------+--------------+-------------+
xoox | spic | srit |
| (48 octs, | (8 sircoes, |
| 192 trips) | 32 trips, |
| | 16 octs) |
-----------+--------------+-------------+
xoxo | srico | proh |
| (24 sircoes, | (8 tics, |
| 96 trips, | 24 ops, |
| 24 coes) | 32 trips, |
| | 16 coes) |
-----------+--------------+-------------+
xoxx | prico | gidpith |
| (24 sircoes, | (8 gircoes, |
| 96 trips, | 24 ops, |
| 96 hips, | 32 hips, |
| 24 toes) | 16 toes) |
-----------+--------------+-------------+
xxoo | tico | - |
-----------+--------------+-------------+
xxxo | grico | - |
-----------+--------------+-------------+
xxox | prico | - |
-----------+--------------+-------------+
xxxx | gippic | - |
-----------+--------------+-------------+
quickfur wrote:Whoa. I've been away from this forum for several months, and now I feel like I'm falling behind already.
...
... Would someone kindly summarize what's been going on here? I've to confess I haven't been able to keep up with all the detailed posts here.
...
-----------+-------------+---------------+---------------+
decoration | non-dim. | 24-dim. | bi-24-dim. |
-----------+-------------+---------------+---------------+
xooo | ex | sadi | bidex |
| (600 tets) | (120 tets, | (48 teddies) |
| | 600 ikes) | |
-----------+-------------+---------------+---------------+
xoox | sidpixhi | idsid pixhi | bidsid pixhi |
| (600 tets, | (120 tets, | (120 trips, |
| 1200 trips, | 480 trips, | 216 pips, |
| 720 pips, | 432 pips, | 72 does, |
| 120 does) | 96 does, | 48 tedrids) |
| | 24 srids) | |
-----------+-------------+---------------+---------------+
xoxo | srix | idsrix | - |
| (600 coes, | (120 coes, | |
| 720 pips, | 432 pips, | |
| 120 ids) | 96 ids, | |
| | 480 tricues, | |
| | 24 ties) | |
-----------+-------------+---------------+---------------+
xoxx | prix | idprix | - |
| (600 coes, | (120 coes, | |
| 1200 trips, | 480 trips, | |
| 720 dips, | 432 dips, | |
| 120 tids) | 96 tids, | |
| | 480 tricues, | |
| | 24 grids) | |
-----------+-------------+---------------+---------------+
xxoo | tex | - | - |
-----------+-------------+---------------+---------------+
xxxo | grix | - | - |
-----------+-------------+---------------+---------------+
xxox | prahi | - | - |
-----------+-------------+---------------+---------------+
xxxx | gidpixhi | - | - |
-----------+-------------+---------------+---------------+
... Anyway, I'm kinda back in the fray with 4D CRFs at the moment -- i just finished the first draft of a new page for my website that describes in detail the structure of the paratetragyrated cantellated tesseract.
...
Klitzing wrote:[...]
Wellcome back - and all the best for 2013!
[...]
- Code: Select all
-----------+-------------+---------------+---------------+
decoration | non-dim. | 24-dim. | bi-24-dim. |
-----------+-------------+---------------+---------------+
xooo | ex | sadi | bidex |
| (600 tets) | (120 tets, | (48 teddies) |
| | 600 ikes) | |
-----------+-------------+---------------+---------------+
xoox | sidpixhi | idsid pixhi | bidsid pixhi |
| (600 tets, | (120 tets, | (120 trips, |
| 1200 trips, | 480 trips, | 216 pips, |
| 720 pips, | 432 pips, | 72 does, |
| 120 does) | 96 does, | 48 tedrids) |
| | 24 srids) | |
- Code: Select all
-----------+-------------+---------------+---------------+
xoxo | srix | idsrix | - |
| (600 coes, | (120 coes, | |
| 720 pips, | 432 pips, | |
| 120 ids) | 96 ids, | |
| | 480 tricues, | |
| | 24 ties) | |
-----------+-------------+---------------+---------------+
xoxx | prix | idprix | - |
| (600 coes, | (120 coes, | |
| 1200 trips, | 480 trips, | |
| 720 dips, | 432 dips, | |
| 120 tids) | 96 tids, | |
| | 480 tricues, | |
| | 24 grids) | |
- Code: Select all
-----------+-------------+---------------+---------------+
xxoo | tex | - | - |
-----------+-------------+---------------+---------------+
xxxo | grix | - | - |
-----------+-------------+---------------+---------------+
xxox | prahi | - | - |
-----------+-------------+---------------+---------------+
xxxx | gidpixhi | - | - |
-----------+-------------+---------------+---------------+
And, most recently, I thought about some parallels. Sadi, and all these, were produced by an inscribed compound of 5 (tau scaled) icositetrachora (= ico) into the hexacosachoron (= ex). (In fact, the vertices of any of those icoes gives rise to a further 24-diminishing.) So we could see, what could be derived by the compound of 3 hexadecachora inscribed into an ico. So I investigated the application of 8-diminishings onto ico (x3o4o3o) and its higher Wythoffian relatives (i.e. tico (x3x4o3o), srico (x3o4x3o), spic (x3o4o3x), etc.). - The outcame was given in my last post of this thread.
... Anyway, I'm kinda back in the fray with 4D CRFs at the moment -- i just finished the first draft of a new page for my website that describes in detail the structure of the paratetragyrated cantellated tesseract.
...
Have to think about the remainder of your post for a while.
(Btw., the greek words para and ortho seem not to apply here correctly. If I get your procedure correctly, you rather are investigating an 8-gyration respectively a 4-gyration, right?)
Klitzing wrote:Recently I applied icositetra-diminishings onto the hexacosachoron (ex) and its Wythoffian relatives. That one was related to the chiral compound of 5 icositetrachora (chi), which could be vertex-inscribed into ex (up to a scaling of tau). A similar compound-inscription is available for ico itself: the compound of 3 hexadecachora.
Thus we here likewise could consider the relations:
- Code: Select all
-----------+--------------+-------------+
decoration | non-dim. | 8-dim. |
-----------+--------------+-------------+
xooo | ico | tes |
| (24 octs) | (8 cubes) |
-----------+--------------+-------------+
xoox | spic | srit |
| (48 octs, | (8 sircoes, |
| 192 trips) | 32 trips, |
| | 16 octs) |
-----------+--------------+-------------+
xoxo | srico | proh |
| (24 sircoes, | (8 tics, |
| 96 trips, | 24 ops, |
| 24 coes) | 32 trips, |
| | 16 coes) |
-----------+--------------+-------------+
xoxx | prico | gidpith |
| (24 sircoes, | (8 gircoes, |
| 96 trips, | 24 ops, |
| 96 hips, | 32 hips, |
| 24 toes) | 16 toes) |
-----------+--------------+-------------+
xxoo | tico | - |
-----------+--------------+-------------+
xxxo | grico | - |
-----------+--------------+-------------+
xxox | prico | - |
-----------+--------------+-------------+
xxxx | gippic | - |
-----------+--------------+-------------+
The "-" each denotes cases where the diminishing would result in half-hexagons, i.e. the diminished figure would no longer be CRF.
In total we have:(Respectively the other way round by corresponding augmentations, which each result in a polychoron of higher symmetry!) - Well, none does result in a non-Wythoffian figure here. So this thread might seem wrong after all. But it relates to the former mails by concept.
- ico can have chopped off 8 cube-pyramidal parts to become a tes.
- spic can have chopped off 8 oct || sirco segmentochora to become a srit.
- srico can have chopped off 8 co || tic segmentochora to become a proh.
- prico can have chopped off 8 toe || girco segmentochora to become a gidpith.
--- rk
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