| Acronym | quawros |
| Name |
quadratic ({8} || cube-)wedge rosette, bridge cyclotetraaugmented tesseract, ring-augmented tesseract, cube || {8} || cube, {4} || squobcu || {4} |
| |
|
Lace city in approx. ASCII-art |
x4o
x4o x4x x4o
x4o
|
o4o o4o
o4o o4x o4x o4o
o4o o4x o4x o4o
o4o o4o
| |
| Dihedral angles | |
| Pattern |
A-------A-------A-------A------(A) |\ /|\ /|\ /|\ / --B---B---B---B---B---B---B---B-- |/ \|/ \|/ \|/ \ A-------A-------A-------A------(A) |\ /|\ /|\ /|\ / --B---B---B---B---B---B---B---B-- |/ \|/ \|/ \|/ \ A-------A-------A-------A------(A) |\ /|\ /|\ /|\ / --B---B---B---B---B---B---B---B-- |/ \|/ \|/ \|/ \ A-------A-------A-------A------(A) |\ /|\ /|\ /|\ / --B---B---B---B---B---B---B---B-- |/ \|/ \|/ \|/ \ (A) (A) (A) (A) (A) vertical -B-B- lines to be identified |
| Face vector | 24, 72, 84, 36 |
| Confer |
|
This non-orbiform CRF could be constructed by augmenting one cycle of 4 cubes of a tes (seen as 4,4-duoprism, represented as vertices A in the pattern) by squippyps (as line||cube wedges). Further the gaps between these augmentations get bridged by further filled in squascs. – Thereby the squares intersecting this cycle of cubes (projected onto the vertical A-A-connections in the pattern above) finally will be withdrawn likewise.
Alternatively this polychoron could be constructed by attaching 4 {8} || cube segmentochora around the octagon (represented by the B vertices in the pattern above), pairwise blending out the squacues.
Finally, from sidpith, known to be tristratic (when considered cube-first), the central stratos (sircope) could be withdrawn (directly adjoining the outer parts). Then, using this bicupola in an orthogonal direction, i.e. with a (now withdrawn) former cube first, that one is still tristratic. Here again the central stratos could be withdrawn. Thus quawros is obtained again (cf. esp. the lace city display of sidpith).
Conversely it can be obtained by 2 orthogonally applied axial partial Stott expansions based on hex.
Incidence matrix according to Dynkin symbol
xxx4oxo xox&#xt → both heights = 1/2
(cube || pseudo {8} || cube)
o..4o.. o.. | 8 * * | 2 1 2 1 0 0 0 0 0 | 1 2 2 1 2 2 2 0 0 0 0 0 | 1 2 1 1 2 1 0 0 0 (A)
.o.4.o. .o. | * 8 * | 0 0 2 0 1 1 2 0 0 | 0 0 2 2 1 0 2 2 2 1 0 0 | 0 1 1 0 2 2 1 1 0 (B)
..o4..o ..o | * * 8 | 0 0 0 1 0 0 2 2 1 | 0 0 0 0 0 2 2 2 1 2 1 2 | 0 0 0 1 2 1 2 1 1 (A)
---------------+-------+---------------------+--------------------------+------------------
x.. ... ... | 2 0 0 | 8 * * * * * * * * | 1 1 1 0 0 1 0 0 0 0 0 0 | 1 1 0 1 1 0 0 0 0
... ... x.. | 2 0 0 | * 4 * * * * * * * | 0 2 0 0 2 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0 0
oo.4oo. oo.&#x | 1 1 0 | * * 16 * * * * * * | 0 0 1 1 1 0 1 0 0 0 0 0 | 0 1 1 0 1 1 0 0 0
o.o4o.o o.o&#x | 1 0 1 | * * * 8 * * * * * | 0 0 0 0 0 2 2 0 0 0 0 0 | 0 0 0 1 2 1 0 0 0
.x. ... ... | 0 2 0 | * * * * 4 * * * * | 0 0 2 0 0 0 0 2 0 0 0 0 | 0 1 0 0 2 0 1 0 0
... .x. ... | 0 2 0 | * * * * * 4 * * * | 0 0 0 2 0 0 0 0 2 0 0 0 | 0 0 1 0 0 2 0 1 0
.oo4.oo .oo&#x | 0 1 1 | * * * * * * 16 * * | 0 0 0 0 0 0 1 1 1 1 0 0 | 0 0 0 0 1 1 1 1 0
..x ... ... | 0 0 2 | * * * * * * * 8 * | 0 0 0 0 0 1 0 1 0 0 1 1 | 0 0 0 1 1 0 1 0 1
... ... ..x | 0 0 2 | * * * * * * * * 4 | 0 0 0 0 0 0 0 0 0 2 0 2 | 0 0 0 0 0 0 2 1 1
---------------+-------+---------------------+--------------------------+------------------
x..4o.. ... | 4 0 0 | 4 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0
x.. ... x.. | 4 0 0 | 2 2 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * | 1 1 0 0 0 0 0 0 0
xx. ... ...&#x | 2 2 0 | 1 0 2 0 1 0 0 0 0 | * * 8 * * * * * * * * * | 0 1 0 0 1 0 0 0 0
... ox. ...&#x | 1 2 0 | 0 0 2 0 0 1 0 0 0 | * * * 8 * * * * * * * * | 0 0 1 0 0 1 0 0 0
... ... xo.&#x | 2 1 0 | 0 1 2 0 0 0 0 0 0 | * * * * 8 * * * * * * * | 0 1 1 0 0 0 0 0 0
x.x ... ...&#x | 2 0 2 | 1 0 0 2 0 0 0 1 0 | * * * * * 8 * * * * * * | 0 0 0 1 1 0 0 0 0
ooo4ooo ooo&#x | 1 1 1 | 0 0 1 1 0 0 1 0 0 | * * * * * * 16 * * * * * | 0 0 0 0 1 1 0 0 0
.xx ... ...&#x | 0 2 2 | 0 0 0 0 1 0 2 1 0 | * * * * * * * 8 * * * * | 0 0 0 0 1 0 1 0 0
... .xo ...&#x | 0 2 1 | 0 0 0 0 0 1 2 0 0 | * * * * * * * * 8 * * * | 0 0 0 0 0 1 0 1 0
... ... .ox&#x | 0 1 2 | 0 0 0 0 0 0 2 0 1 | * * * * * * * * * 8 * * | 0 0 0 0 0 0 1 1 0
..x4..o ... | 0 0 4 | 0 0 0 0 0 0 0 4 0 | * * * * * * * * * * 2 * | 0 0 0 1 0 0 0 0 1
..x ... ..x | 0 0 4 | 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * 4 | 0 0 0 0 0 0 1 0 1
---------------+-------+---------------------+--------------------------+------------------
x..4o.. x.. ♦ 8 0 0 | 8 4 0 0 0 0 0 0 0 | 2 4 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * *
xx. ... xo.&#x ♦ 4 2 0 | 2 2 4 0 1 0 0 0 0 | 0 1 2 0 2 0 0 0 0 0 0 0 | * 4 * * * * * * *
... ox. xo.&#x ♦ 2 2 0 | 0 1 4 0 0 1 0 0 0 | 0 0 0 2 2 0 0 0 0 0 0 0 | * * 4 * * * * * *
x.x4o.o ...&#x ♦ 4 0 4 | 4 0 0 4 0 0 0 4 0 | 1 0 0 0 0 4 0 0 0 0 1 0 | * * * 2 * * * * *
xxx ... ...&#x ♦ 2 2 2 | 1 0 2 2 1 0 2 1 0 | 0 0 1 0 0 1 2 1 0 0 0 0 | * * * * 8 * * * *
... oxo ...&#x ♦ 1 2 1 | 0 0 2 1 0 1 2 0 0 | 0 0 0 1 0 0 2 0 1 0 0 0 | * * * * * 8 * * *
.xx ... .ox&#x ♦ 0 2 4 | 0 0 0 0 1 0 4 2 2 | 0 0 0 0 0 0 0 2 0 2 0 1 | * * * * * * 4 * *
... .xo .ox&#x ♦ 0 2 2 | 0 0 0 0 0 1 4 0 1 | 0 0 0 0 0 0 0 0 2 2 0 0 | * * * * * * * 4 *
..x4..o ..x ♦ 0 0 8 | 0 0 0 0 0 0 0 8 4 | 0 0 0 0 0 0 0 0 0 0 2 4 | * * * * * * * * 1
or o..4o.. o.. & | 16 * | 2 1 2 1 0 0 | 1 2 2 1 2 2 2 | 1 2 1 1 2 1 (A) .o.4.o. .o. | * 8 | 0 0 4 0 1 1 | 0 0 4 4 2 0 2 | 0 2 2 0 2 2 (B) ------------------+------+---------------+-------------------+------------ x.. ... ... & | 2 0 | 16 * * * * * | 1 1 1 0 0 1 0 | 1 1 0 1 1 0 ... ... x.. & | 2 0 | * 8 * * * * | 0 2 0 0 2 0 0 | 1 2 1 0 0 0 oo.4oo. oo.&#x & | 1 1 | * * 32 * * * | 0 0 1 1 1 0 1 | 0 1 1 0 1 1 o.o4o.o o.o&#x | 2 0 | * * * 8 * * | 0 0 0 0 0 2 2 | 0 0 0 1 2 1 .x. ... ... | 0 2 | * * * * 4 * | 0 0 4 0 0 0 0 | 0 2 0 0 2 0 ... .x. ... | 0 2 | * * * * * 4 | 0 0 0 4 0 0 0 | 0 0 2 0 0 2 ------------------+------+---------------+-------------------+------------ x..4o.. ... & | 4 0 | 4 0 0 0 0 0 | 4 * * * * * * | 1 0 0 1 0 0 x.. ... x.. & | 4 0 | 2 2 0 0 0 0 | * 8 * * * * * | 1 1 0 0 0 0 xx. ... ...&#x & | 2 2 | 1 0 2 0 1 0 | * * 16 * * * * | 0 1 0 0 1 0 ... ox. ...&#x & | 1 2 | 0 0 2 0 0 1 | * * * 16 * * * | 0 0 1 0 0 1 ... ... xo.&#x & | 2 1 | 0 1 2 0 0 0 | * * * * 16 * * | 0 1 1 0 0 0 x.x ... ...&#x | 4 0 | 2 0 0 2 0 0 | * * * * * 8 * | 0 0 0 1 1 0 ooo4ooo ooo&#x | 2 1 | 0 0 2 1 0 0 | * * * * * * 16 | 0 0 0 0 1 1 ------------------+------+---------------+-------------------+------------ x..4o.. x.. & ♦ 8 0 | 8 4 0 0 0 0 | 2 4 0 0 0 0 0 | 2 * * * * * xx. ... xo.&#x & ♦ 4 2 | 2 2 4 0 1 0 | 0 1 2 0 2 0 0 | * 8 * * * * ... ox. xo.&#x & ♦ 2 2 | 0 1 4 0 0 1 | 0 0 0 2 2 0 0 | * * 8 * * * x.x4o.o ...&#x ♦ 8 0 | 8 0 0 4 0 0 | 2 0 0 0 0 4 0 | * * * 2 * * xxx ... ...&#x ♦ 4 2 | 2 0 4 2 1 0 | 0 0 2 0 0 1 2 | * * * * 8 * ... oxo ...&#x ♦ 2 2 | 0 0 4 1 0 1 | 0 0 0 2 0 0 2 | * * * * * 8
{4} || pseudo squobcu || {4} → both heights = 1/sqrt(2) = 0.707107
4 * * * * | 2 1 2 1 0 0 0 0 0 0 0 0 0 0 | 1 2 2 2 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 2 1 1 0 0 0 0 0 0 top (A)
* 4 * * * | 0 1 0 0 2 2 1 0 0 0 0 0 0 0 | 0 2 0 0 2 0 0 1 2 2 1 2 0 0 0 0 0 0 0 0 | 1 0 2 0 1 0 1 2 1 0 0 0 equatorial (A)
* * 8 * * | 0 0 1 0 0 1 0 1 1 1 1 0 0 0 | 0 0 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 | 0 0 1 1 1 1 0 1 1 1 1 0 equatorial (B)
* * * 4 * | 0 0 0 1 0 0 0 0 0 2 0 2 1 0 | 0 0 0 2 0 0 2 0 0 0 0 0 2 1 0 0 2 1 2 0 | 0 1 0 2 0 1 0 0 0 2 1 1 equatorial (A)
* * * * 4 | 0 0 0 0 0 0 1 0 0 0 2 0 1 2 | 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 1 2 0 2 1 | 0 0 0 0 0 0 1 2 1 2 1 1 bottom (A)
----------+-----------------------------+-----------------------------------------+------------------------
2 0 0 0 0 | 4 * * * * * * * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 | * 4 * * * * * * * * * * * * | 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 2 0 1 0 0 0 0 0 0 0
1 0 1 0 0 | * * 8 * * * * * * * * * * * | 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 1 1 1 0 0 0 0 0 0
1 0 0 1 0 | * * * 4 * * * * * * * * * * | 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 2 0 1 0 0 0 0 0 0
0 2 0 0 0 | * * * * 4 * * * * * * * * * | 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 | 1 0 1 0 0 0 1 1 0 0 0 0
0 1 1 0 0 | * * * * * 8 * * * * * * * * | 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 | 0 0 1 0 1 0 0 1 1 0 0 0
0 1 0 0 1 | * * * * * * 4 * * * * * * * | 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 2 1 0 0 0
0 0 2 0 0 | * * * * * * * 4 * * * * * * | 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 | 0 0 1 1 0 0 0 1 0 1 0 0 para
0 0 2 0 0 | * * * * * * * * 4 * * * * * | 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 | 0 0 0 0 1 1 0 0 1 0 1 0 obligue
0 0 1 1 0 | * * * * * * * * * 8 * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 | 0 0 0 1 0 1 0 0 0 1 1 0
0 0 1 0 1 | * * * * * * * * * * 8 * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 | 0 0 0 0 0 0 0 1 1 1 1 0
0 0 0 2 0 | * * * * * * * * * * * 4 * * | 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 1 0 1 0 0 0 0 0 1 0 1
0 0 0 1 1 | * * * * * * * * * * * * 4 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 | 0 0 0 0 0 0 0 0 0 2 1 1
0 0 0 0 2 | * * * * * * * * * * * * * 4 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 | 0 0 0 0 0 0 1 1 0 1 0 1
----------+-----------------------------+-----------------------------------------+------------------------
4 0 0 0 0 | 4 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 0
2 2 0 0 0 | 1 2 0 0 1 0 0 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0 0
2 0 2 0 0 | 1 0 2 0 0 0 0 1 0 0 0 0 0 0 | * * 4 * * * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0 0 0
2 0 0 2 0 | 1 0 0 2 0 0 0 0 0 0 0 1 0 0 | * * * 4 * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0 0
1 1 1 0 0 | 0 1 1 0 0 1 0 0 0 0 0 0 0 0 | * * * * 8 * * * * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 0 0
1 0 2 0 0 | 0 0 2 0 0 0 0 0 1 0 0 0 0 0 | * * * * * 4 * * * * * * * * * * * * * * | 0 0 0 0 1 1 0 0 0 0 0 0
1 0 1 1 0 | 0 0 1 1 0 0 0 0 0 1 0 0 0 0 | * * * * * * 8 * * * * * * * * * * * * * | 0 0 0 1 0 1 0 0 0 0 0 0
0 4 0 0 0 | 0 0 0 0 4 0 0 0 0 0 0 0 0 0 | * * * * * * * 1 * * * * * * * * * * * * | 1 0 0 0 0 0 1 0 0 0 0 0
0 2 2 0 0 | 0 0 0 0 1 2 0 1 0 0 0 0 0 0 | * * * * * * * * 4 * * * * * * * * * * * | 0 0 1 0 0 0 0 1 0 0 0 0
0 2 0 0 2 | 0 0 0 0 1 0 2 0 0 0 0 0 0 1 | * * * * * * * * * 4 * * * * * * * * * * | 0 0 0 0 0 0 1 1 0 0 0 0
0 1 2 0 0 | 0 0 0 0 0 2 0 0 1 0 0 0 0 0 | * * * * * * * * * * 4 * * * * * * * * * | 0 0 0 0 1 0 0 0 1 0 0 0
0 1 1 0 1 | 0 0 0 0 0 1 1 0 0 0 1 0 0 0 | * * * * * * * * * * * 8 * * * * * * * * | 0 0 0 0 0 0 0 1 1 0 0 0
0 0 2 2 0 | 0 0 0 0 0 0 0 1 0 2 0 1 0 0 | * * * * * * * * * * * * 4 * * * * * * * | 0 0 0 1 0 0 0 0 0 1 0 0
0 0 2 1 0 | 0 0 0 0 0 0 0 0 1 2 0 0 0 0 | * * * * * * * * * * * * * 4 * * * * * * | 0 0 0 0 0 1 0 0 0 0 1 0
0 0 2 0 2 | 0 0 0 0 0 0 0 1 0 0 2 0 0 1 | * * * * * * * * * * * * * * 4 * * * * * | 0 0 0 0 0 0 0 1 0 1 0 0
0 0 2 0 1 | 0 0 0 0 0 0 0 0 1 0 2 0 0 0 | * * * * * * * * * * * * * * * 4 * * * * | 0 0 0 0 0 0 0 0 1 0 1 0
0 0 1 1 1 | 0 0 0 0 0 0 0 0 0 1 1 0 1 0 | * * * * * * * * * * * * * * * * 8 * * * | 0 0 0 0 0 0 0 0 0 1 1 0
0 0 0 4 0 | 0 0 0 0 0 0 0 0 0 0 0 4 0 0 | * * * * * * * * * * * * * * * * * 1 * * | 0 1 0 0 0 0 0 0 0 0 0 1
0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 0 0 1 2 1 | * * * * * * * * * * * * * * * * * * 4 * | 0 0 0 0 0 0 0 0 0 1 0 1
0 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 1 0 0 0 0 1
----------+-----------------------------+-----------------------------------------+------------------------
4 4 0 0 0 | 4 4 0 0 4 0 0 0 0 0 0 0 0 0 | 1 4 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * cube
4 0 0 4 0 | 4 0 0 4 0 0 0 0 0 0 0 4 0 0 | 1 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | * 1 * * * * * * * * * * cube
2 2 2 0 0 | 1 2 2 0 1 2 0 1 0 0 0 0 0 0 | 0 1 1 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * 4 * * * * * * * * * trip
2 0 2 2 0 | 1 0 2 2 0 0 0 1 0 2 0 1 0 0 | 0 0 1 1 0 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 | * * * 4 * * * * * * * * trip
1 1 2 0 0 | 0 1 2 0 0 2 0 0 1 0 0 0 0 0 | 0 0 0 0 2 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * 4 * * * * * * * tet
1 0 2 1 0 | 0 0 2 1 0 0 0 0 1 2 0 0 0 0 | 0 0 0 0 0 1 2 0 0 0 0 0 0 1 0 0 0 0 0 0 | * * * * * 4 * * * * * * tet
0 4 0 0 4 | 0 0 0 0 4 0 4 0 0 0 0 0 0 4 | 0 0 0 0 0 0 0 1 0 4 0 0 0 0 0 0 0 0 0 1 | * * * * * * 1 * * * * * cube
0 2 2 0 2 | 0 0 0 0 1 2 2 1 0 0 2 0 0 1 | 0 0 0 0 0 0 0 0 1 1 0 2 0 0 1 0 0 0 0 0 | * * * * * * * 4 * * * * trip
0 1 2 0 1 | 0 0 0 0 0 2 1 0 1 0 2 0 0 0 | 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 1 0 0 0 0 | * * * * * * * * 4 * * * tet
0 0 2 2 2 | 0 0 0 0 0 0 0 1 0 2 2 1 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 0 1 0 | * * * * * * * * * 4 * * trip
0 0 2 1 1 | 0 0 0 0 0 0 0 0 1 2 2 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 0 0 | * * * * * * * * * * 4 * tet
0 0 0 4 4 | 0 0 0 0 0 0 0 0 0 0 0 4 4 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 1 | * * * * * * * * * * * 1 cube
x(xx)x4o(ox)o o(qo)o&#xt → both heights = 1/sqrt(2) = 0.707107
({4} || pseudo squobcu || {4})
o(..).4o(..). o(..). & | 8 * * | 2 2 2 0 0 0 0 | 1 4 2 1 4 0 0 0 | 2 4 2
.(o.).4.(o.). .(o.). | * 8 * | 0 2 0 2 2 0 0 | 0 4 0 0 4 1 2 1 | 2 4 2
.(.o).4.(.o). .(.o). | * * 8 | 0 0 2 0 2 1 1 | 0 0 2 2 4 0 2 2 | 0 4 4
---------------------------+-------+------------------+-------------------+--------
x(..). .(..). .(..). & | 2 0 0 | 8 * * * * * * | 1 2 1 0 0 0 0 0 | 2 2 0
o(o.).4o(o.). o(o.).&#x & | 1 1 0 | * 16 * * * * * | 0 2 0 0 2 0 0 0 | 1 2 1
o(.o).4o(.o). o(.o).&#x & | 1 0 1 | * * 16 * * * * | 0 0 1 1 2 0 0 0 | 0 2 2
.(x.). .(..). .(..). | 0 2 0 | * * * 8 * * * | 0 2 0 0 0 1 1 0 | 2 2 0
.(oo).4.(oo). .(oo).&#x | 0 1 1 | * * * * 16 * * | 0 0 0 0 2 0 1 1 | 0 2 2
.(.x). .(..). .(..). | 0 0 2 | * * * * * 4 * | 0 0 2 0 0 0 2 0 | 0 4 0
.(..). .(.x). .(..). | 0 0 2 | * * * * * * 4 | 0 0 0 2 0 0 0 2 | 0 0 4
---------------------------+-------+------------------+-------------------+--------
x(..).4o(..). .(..). & | 4 0 0 | 4 0 0 0 0 0 0 | 2 * * * * * * * | 2 0 0
x(x.). .(..). .(..). & | 2 2 0 | 1 2 0 1 0 0 0 | * 16 * * * * * * | 1 1 0
x(.x). .(..). .(..). & | 2 0 2 | 1 0 2 0 0 1 0 | * * 8 * * * * * | 0 2 0
.(..). o(.x). .(..). & | 1 0 2 | 0 0 2 0 0 0 1 | * * * 8 * * * * | 0 0 2
o(oo).4o(oo). o(oo).&#x | 1 1 1 | 0 1 1 0 1 0 0 | * * * * 32 * * * | 0 1 1
.(x.).4.(o.). .(..). | 0 4 0 | 0 0 0 4 0 0 0 | * * * * * 2 * * | 2 0 0
.(xx). .(..). .(..).&#x | 0 2 2 | 0 0 0 1 2 1 0 | * * * * * * 8 * | 0 2 0
.(..). .(ox). .(..).&#x | 0 1 2 | 0 0 0 0 2 0 1 | * * * * * * * 8 | 0 0 2
---------------------------+-------+------------------+-------------------+--------
x(x.).4o(o.). .(..). & ♦ 4 4 0 | 4 4 0 4 0 0 0 | 1 4 0 0 0 1 0 0 | 4 * *
x(xx). .(..). .(..). & ♦ 2 2 2 | 1 2 2 1 2 1 0 | 0 1 1 0 2 0 1 0 | * 16 *
.(..). o(ox). .(..).&#x & ♦ 1 1 2 | 0 1 2 0 2 0 1 | 0 0 0 1 2 0 0 1 | * * 16
o(qoo)o x(xwx)x x(xxw)x&#xt → both heights = 1/sqrt(2) = 0.707107
({4} || pseudo squobcu || {4})
o(...). o(...). o(...). | 4 * * * * | 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 2 2 0 0 0 0
.(o..). .(o..). .(o..). | * 8 * * * | 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 | 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 1 1 1 1
.(.o.). .(.o.). .(.o.). | * * 4 * * | 0 0 0 1 0 0 0 2 0 0 1 1 1 0 0 0 0 | 0 0 0 1 0 2 0 1 0 2 0 0 0 2 2 0 1 1 0 0 | 0 2 0 2 0 2 0 2
.(..o). .(..o). .(..o). | * * * 4 * | 0 0 0 0 1 0 0 0 2 0 0 1 0 1 1 0 0 | 0 0 0 0 1 0 2 1 0 0 2 0 0 2 0 2 0 1 1 0 | 0 0 2 2 0 0 2 2
.(...)o .(...)o .(...)o | * * * * 4 | 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 1 1 | 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 1 1 1 1 | 0 0 0 0 2 2 2 2
---------------------------+-----------+-----------------------------------+-----------------------------------------+----------------
.(...). x(...). .(...). | 2 0 0 0 0 | 2 * * * * * * * * * * * * * * * * | 1 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 0 2 0 0 0 0 0
.(...). .(...). x(...). | 2 0 0 0 0 | * 2 * * * * * * * * * * * * * * * | 1 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 0 0 0 0 0 0
o(o..). o(o..). o(o..).&#x | 1 1 0 0 0 | * * 8 * * * * * * * * * * * * * * | 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0 0 0
o(.o.). o(.o.). o(.o.).&#x | 1 0 1 0 0 | * * * 4 * * * * * * * * * * * * * | 0 0 0 1 0 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 0 2 0 0 0 0
o(..o). o(..o). o(..o).&#x | 1 0 0 1 0 | * * * * 4 * * * * * * * * * * * * | 0 0 0 0 1 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 2 0 0 0 0
.(...). .(x..). .(...). | 0 2 0 0 0 | * * * * * 4 * * * * * * * * * * * | 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 | 1 0 1 0 1 0 1 0
.(...). .(...). .(x..). | 0 2 0 0 0 | * * * * * * 4 * * * * * * * * * * | 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 | 1 1 0 0 1 1 0 0
.(oo.). .(oo.). .(oo.).&#x | 0 1 1 0 0 | * * * * * * * 8 * * * * * * * * * | 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 | 0 1 0 1 0 1 0 1
.(o.o). .(o.o). .(o.o).&#x | 0 1 0 1 0 | * * * * * * * * 8 * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 | 0 0 1 1 0 0 1 1
.(o..)o .(o..)o .(o..)o&#x | 0 1 0 0 1 | * * * * * * * * * 8 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 | 0 0 0 0 1 1 1 1
.(...). .(...). .(.x.). | 0 0 2 0 0 | * * * * * * * * * * 2 * * * * * * | 0 0 0 1 0 0 0 0 0 2 0 0 0 0 0 0 1 0 0 0 | 0 2 0 0 0 2 0 0
.(.oo). .(.oo). .(.oo).&#x | 0 0 1 1 0 | * * * * * * * * * * * 4 * * * * * | 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 1 0 0 | 0 0 0 2 0 0 0 2
.(.o.)o .(.o.)o .(.o.)o&#x | 0 0 1 0 1 | * * * * * * * * * * * * 4 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 0 | 0 0 0 0 0 2 0 2
.(...). .(..x). .(...). | 0 0 0 2 0 | * * * * * * * * * * * * * 2 * * * | 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 1 0 | 0 0 2 0 0 0 2 0
.(..o)o .(..o)o .(..o)o&#x | 0 0 0 1 1 | * * * * * * * * * * * * * * 4 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 | 0 0 0 0 0 0 2 2
.(...). .(...)x .(...). | 0 0 0 0 2 | * * * * * * * * * * * * * * * 2 * | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 1 1 | 0 0 0 0 2 0 2 0
.(...). .(...). .(...)x | 0 0 0 0 2 | * * * * * * * * * * * * * * * * 2 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 0 1 | 0 0 0 0 2 2 0 0
---------------------------+-----------+-----------------------------------+-----------------------------------------+----------------
.(...). x(...). x(...). | 4 0 0 0 0 | 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * * * * | 2 0 0 0 0 0 0 0
.(...). x(x..). .(...).&#x | 2 2 0 0 0 | 1 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0
.(...). .(...). x(x..).&#x | 2 2 0 0 0 | 0 1 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * 4 * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0
.(...). .(...). x(.x.).&#x | 2 0 2 0 0 | 0 1 0 2 0 0 0 0 0 0 1 0 0 0 0 0 0 | * * * 2 * * * * * * * * * * * * * * * * | 0 2 0 0 0 0 0 0
.(...). x(..x). .(...).&#x | 2 0 0 2 0 | 1 0 0 0 2 0 0 0 0 0 0 0 0 1 0 0 0 | * * * * 2 * * * * * * * * * * * * * * * | 0 0 2 0 0 0 0 0
o(oo.). o(oo.). o(oo.).&#x | 1 1 1 0 0 | 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * * 8 * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0
o(o.o). o(o.o). o(o.o).&#x | 1 1 0 1 0 | 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 | * * * * * * 8 * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0
o(.oo). o(.oo). o(.oo).&#x | 1 0 1 1 0 | 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 | * * * * * * * 4 * * * * * * * * * * * * | 0 0 0 2 0 0 0 0
.(...). .(x..). .(x..). | 0 4 0 0 0 | 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * 2 * * * * * * * * * * * | 1 0 0 0 1 0 0 0
.(...). .(...). .(xx.).&#x | 0 2 2 0 0 | 0 0 0 0 0 0 1 2 0 0 1 0 0 0 0 0 0 | * * * * * * * * * 4 * * * * * * * * * * | 0 1 0 0 0 1 0 0
.(...). .(x.x). .(...).&#x | 0 2 0 2 0 | 0 0 0 0 0 1 0 0 2 0 0 0 0 1 0 0 0 | * * * * * * * * * * 4 * * * * * * * * * | 0 0 1 0 0 0 1 0
.(...). .(x..)x .(...).&#x | 0 2 0 0 2 | 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 1 0 | * * * * * * * * * * * 4 * * * * * * * * | 0 0 0 0 1 0 1 0
.(...). .(...). .(x..)x&#x | 0 2 0 0 2 | 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 0 1 | * * * * * * * * * * * * 4 * * * * * * * | 0 0 0 0 1 1 0 0
.(ooo). .(ooo). .(ooo).&#x | 0 1 1 1 0 | 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 | * * * * * * * * * * * * * 8 * * * * * * | 0 0 0 1 0 0 0 1
.(oo.)o .(oo.)o .(oo.)o&#x | 0 1 1 0 1 | 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 | * * * * * * * * * * * * * * 8 * * * * * | 0 0 0 0 0 1 0 1
.(o.o)o .(o.o)o .(o.o)o&#x | 0 1 0 1 1 | 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 | * * * * * * * * * * * * * * * 8 * * * * | 0 0 0 0 0 0 1 1
.(...). .(...). .(.x.)x&#x | 0 0 2 0 2 | 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 1 | * * * * * * * * * * * * * * * * 2 * * * | 0 0 0 0 0 2 0 0
.(.oo)o .(.oo)o .(.oo)o&#x | 0 0 1 1 1 | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 | * * * * * * * * * * * * * * * * * 4 * * | 0 0 0 0 0 0 0 2
.(...). .(..x)x .(...).&#x | 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 | * * * * * * * * * * * * * * * * * * 2 * | 0 0 0 0 0 0 2 0
.(...). .(...)x .(...)x | 0 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * * * * * * * 1 | 0 0 0 0 2 0 0 0
---------------------------+-----------+-----------------------------------+-----------------------------------------+----------------
.(...). x(x..). x(x..).&#x ♦ 4 4 0 0 0 | 2 2 4 0 0 2 2 0 0 0 0 0 0 0 0 0 0 | 1 2 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * *
.(...). .(...). x(xx.).&#x ♦ 2 2 2 0 0 | 0 1 2 2 0 0 1 2 0 0 1 0 0 0 0 0 0 | 0 0 1 1 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | * 4 * * * * * *
.(...). x(x.x). .(...).&#x ♦ 2 2 0 2 0 | 1 0 2 0 2 1 0 0 2 0 0 0 0 1 0 0 0 | 0 1 0 0 1 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 | * * 4 * * * * *
o(ooo). o(ooo). o(ooo).&#x ♦ 1 1 1 1 0 | 0 0 1 1 1 0 0 1 1 0 0 1 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 | * * * 8 * * * *
.(...). .(x..)x .(x..)x&#x ♦ 0 4 0 0 4 | 0 0 0 0 0 2 2 0 0 4 0 0 0 0 0 2 2 | 0 0 0 0 0 0 0 0 1 0 0 2 2 0 0 0 0 0 0 1 | * * * * 2 * * *
.(...). .(...). .(xx.)x&#x ♦ 0 2 2 0 2 | 0 0 0 0 0 0 1 2 0 2 1 0 2 0 0 0 1 | 0 0 0 0 0 0 0 0 0 1 0 0 1 0 2 0 1 0 0 0 | * * * * * 4 * *
.(...). .(x.x)x .(...).&#x ♦ 0 2 0 2 2 | 0 0 0 0 0 1 0 0 2 2 0 0 0 1 2 1 0 | 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 0 0 1 0 | * * * * * * 4 *
.(ooo)o .(ooo)o .(ooo)o&#x ♦ 0 1 1 1 1 | 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 | * * * * * * * 8
xo4xx ox4oo&#zx → all heights = 0
(tegum sum of {8} and tes)
o.4o. o.4o. | 8 * | 1 1 4 0 0 | 4 4 4 0 0 | 4 4 0 (B)
.o4.o .o4.o | * 16 | 0 0 2 2 2 | 1 2 4 4 1 | 2 4 2 (A)
----------------+------+--------------+---------------+--------
x. .. .. .. | 2 0 | 4 * * * * | 4 0 0 0 0 | 4 0 0
.. x. .. .. | 2 0 | * 4 * * * | 0 4 0 0 0 | 0 4 0
oo4oo oo4oo&#x | 1 1 | * * 32 * * | 1 1 2 0 0 | 2 2 0
.. .x .. .. | 0 2 | * * * 16 * | 0 1 0 2 1 | 0 2 2
.. .. .x .. | 0 2 | * * * * 16 | 0 0 2 2 0 | 1 2 1
----------------+------+--------------+---------------+--------
xo .. .. ..&#x | 2 1 | 1 0 2 0 0 | 16 * * * * | 2 0 0
.. xx .. ..&#x | 2 2 | 0 1 2 1 0 | * 16 * * * | 0 2 0
.. .. ox ..&#x | 1 2 | 0 0 2 0 1 | * * 32 * * | 1 1 0
.. .x .x .. | 0 4 | 0 0 0 2 2 | * * * 16 * | 0 1 1
.o4.x .. .. | 0 4 | 0 0 0 4 0 | * * * * 4 | 0 0 2
----------------+------+--------------+---------------+--------
xo .. ox ..&#x ♦ 2 2 | 1 0 4 0 1 | 2 0 2 0 0 | 16 * *
.. xx ox ..&#x ♦ 2 4 | 0 1 4 2 2 | 0 2 2 1 0 | * 16 *
.o4.x .x .. ♦ 0 8 | 0 0 0 8 4 | 0 0 0 4 2 | * * 4
wxxx xwxx ooqo oooq&#zx → all heights = 0
(tegum sum of 2 mutually gyrated (w,x)-{4} and 2 likewise mutually gyrated (not fully) ortho (x,x,q)-cubes)
o... o... o... o... | 4 * * * | 1 1 2 2 0 0 0 0 0 0 0 0 | 2 2 2 2 4 0 0 0 0 0 0 0 | 4 4 0 0
.o.. .o.. .o.. .o.. | * 4 * * | 0 1 0 0 1 2 2 0 0 0 0 0 | 0 0 2 2 0 2 2 4 0 0 0 0 | 0 4 4 0
..o. ..o. ..o. ..o. | * * 8 * | 0 0 1 0 0 1 0 1 1 2 0 0 | 1 0 1 0 2 1 0 2 1 2 2 0 | 2 2 2 2
...o ...o ...o ...o | * * * 8 | 0 0 0 1 0 0 1 0 0 2 1 1 | 0 1 0 1 2 0 1 2 0 2 2 1 | 2 2 2 2
------------------------+---------+--------------------------+---------------------------+---------
.... x... .... .... | 2 0 0 0 | 2 * * * * * * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 0 | 4 0 0 0
oo.. oo.. oo.. oo..&#x | 1 1 0 0 | * 4 * * * * * * * * * * | 0 0 2 2 0 0 0 0 0 0 0 0 | 0 4 0 0
o.o. o.o. o.o. o.o.&#x | 1 0 1 0 | * * 8 * * * * * * * * * | 1 0 1 0 2 0 0 0 0 0 0 0 | 2 2 0 0
o..o o..o o..o o..o&#x | 1 0 0 1 | * * * 8 * * * * * * * * | 0 1 0 1 2 0 0 0 0 0 0 0 | 2 2 0 0
.x.. .... .... .... | 0 2 0 0 | * * * * 2 * * * * * * * | 0 0 0 0 0 2 2 0 0 0 0 0 | 0 0 4 0
.oo. .oo. .oo. .oo.&#x | 0 1 1 0 | * * * * * 8 * * * * * * | 0 0 1 0 0 1 0 2 0 0 0 0 | 0 2 2 0
.o.o .o.o .o.o .o.o&#x | 0 1 0 1 | * * * * * * 8 * * * * * | 0 0 0 1 0 0 1 2 0 0 0 0 | 0 2 2 0
..x. .... .... .... | 0 0 2 0 | * * * * * * * 4 * * * * | 0 0 0 0 0 1 0 0 1 2 0 0 | 0 0 2 2
.... ..x. .... .... | 0 0 2 0 | * * * * * * * * 4 * * * | 1 0 0 0 0 0 0 0 1 0 2 0 | 2 0 0 2
..oo ..oo ..oo ..oo&#x | 0 0 1 1 | * * * * * * * * * 16 * * | 0 0 0 0 1 0 0 1 0 1 1 0 | 1 1 1 1
...x .... .... .... | 0 0 0 2 | * * * * * * * * * * 4 * | 0 0 0 0 0 0 1 0 0 2 0 1 | 0 0 2 2
.... ...x .... .... | 0 0 0 2 | * * * * * * * * * * * 4 | 0 1 0 0 0 0 0 0 0 0 2 1 | 2 0 0 2
------------------------+---------+--------------------------+---------------------------+---------
.... x.x. .... ....&#x | 2 0 2 0 | 1 0 2 0 0 0 0 0 1 0 0 0 | 4 * * * * * * * * * * * | 2 0 0 0
.... x..x .... ....&#x | 2 0 0 2 | 1 0 0 2 0 0 0 0 0 0 0 1 | * 4 * * * * * * * * * * | 2 0 0 0
ooo. ooo. ooo. ooo.&#x | 1 1 1 0 | 0 1 1 0 0 1 0 0 0 0 0 0 | * * 8 * * * * * * * * * | 0 2 0 0
oo.o oo.o oo.o oo.o&#x | 1 1 0 1 | 0 1 0 1 0 0 1 0 0 0 0 0 | * * * 8 * * * * * * * * | 0 2 0 0
o.oo o.oo o.oo o.oo&#x | 1 0 1 1 | 0 0 1 1 0 0 0 0 0 1 0 0 | * * * * 16 * * * * * * * | 1 1 0 0
.xx. .... .... ....&#x | 0 2 2 0 | 0 0 0 0 1 2 0 1 0 0 0 0 | * * * * * 4 * * * * * * | 0 0 2 0
.x.x .... .... ....&#x | 0 2 0 2 | 0 0 0 0 1 0 2 0 0 0 1 0 | * * * * * * 4 * * * * * | 0 0 2 0
.ooo .ooo .ooo .ooo&#x | 0 1 1 1 | 0 0 0 0 0 1 1 0 0 1 0 0 | * * * * * * * 16 * * * * | 0 1 1 0
..x. ..x. .... .... | 0 0 4 0 | 0 0 0 0 0 0 0 2 2 0 0 0 | * * * * * * * * 2 * * * | 0 0 0 2
..xx .... .... ....&#x | 0 0 2 2 | 0 0 0 0 0 0 0 1 0 2 1 0 | * * * * * * * * * 8 * * | 0 0 1 1
.... ..xx .... ....&#x | 0 0 2 2 | 0 0 0 0 0 0 0 0 1 2 0 1 | * * * * * * * * * * 8 * | 1 0 0 1
...x ...x .... .... | 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * 2 | 0 0 0 2
------------------------+---------+--------------------------+---------------------------+---------
.... x.xx .... ....&#x ♦ 2 0 2 2 | 1 0 2 2 0 0 0 0 1 2 0 1 | 1 1 0 0 2 0 0 0 0 0 1 0 | 8 * * *
oooo oooo oooo oooo&#x ♦ 1 1 1 1 | 0 1 1 1 0 1 1 0 0 1 0 0 | 0 0 1 1 1 0 0 1 0 0 0 0 | * 16 * *
.xxx .... .... ....&#x ♦ 0 2 2 2 | 0 0 0 0 1 2 2 1 0 2 1 0 | 0 0 0 0 0 1 1 2 0 1 0 0 | * * 8 *
..xx ..xx .... ....&#x ♦ 0 0 4 4 | 0 0 0 0 0 0 0 2 2 4 2 2 | 0 0 0 0 0 0 0 0 1 2 2 1 | * * * 4
o4o o4o
A A
o4o o4x o4x o4o
B C C B
o4o o4x o4x o4o
D E E D
o4o o4o
F F
line || pseudo esquidpy || pseudo esquidpy || line
2 * * * * * | 1 1 4 0 0 0 0 0 0 0 0 0 0 0 | 4 4 4 0 0 0 0 0 0 0 0 0 0 | 4 4 0 0 0 0 A
* 2 * * * * | 0 1 0 4 1 0 0 0 0 0 0 0 0 0 | 0 4 0 4 4 0 0 0 0 0 0 0 0 | 0 4 4 0 0 0 B
* * 8 * * * | 0 0 1 1 0 2 1 1 0 0 0 0 0 0 | 1 1 2 2 1 2 2 1 0 0 0 0 0 | 2 2 2 2 0 0 C
* * * 2 * * | 0 0 0 0 1 0 0 0 4 1 0 0 0 0 | 0 0 0 0 4 0 0 0 4 4 0 0 0 | 0 0 4 0 4 0 D
* * * * 8 * | 0 0 0 0 0 0 0 1 1 0 2 1 1 0 | 0 0 0 0 1 0 2 1 2 1 2 2 1 | 0 0 2 2 2 2 E
* * * * * 2 | 0 0 0 0 0 0 0 0 0 1 0 0 4 1 | 0 0 0 0 0 0 0 0 0 4 0 4 4 | 0 0 0 0 4 4 F
------------+-----------------------------+---------------------------+------------
2 0 0 0 0 0 | 1 * * * * * * * * * * * * * | 4 0 0 0 0 0 0 0 0 0 0 0 0 | 4 0 0 0 0 0
1 1 0 0 0 0 | * 2 * * * * * * * * * * * * | 0 4 0 0 0 0 0 0 0 0 0 0 0 | 0 4 0 0 0 0
1 0 1 0 0 0 | * * 8 * * * * * * * * * * * | 1 1 2 0 0 0 0 0 0 0 0 0 0 | 2 2 0 0 0 0
0 1 1 0 0 0 | * * * 8 * * * * * * * * * * | 0 1 0 2 1 0 0 0 0 0 0 0 0 | 0 2 2 0 0 0
0 1 0 1 0 0 | * * * * 2 * * * * * * * * * | 0 0 0 0 4 0 0 0 0 0 0 0 0 | 0 0 4 0 0 0
0 0 2 0 0 0 | * * * * * 8 * * * * * * * * | 0 0 1 1 0 1 1 0 0 0 0 0 0 | 1 1 1 1 0 0 (within each C)
0 0 2 0 0 0 | * * * * * * 4 * * * * * * * | 1 0 0 0 0 2 0 1 0 0 0 0 0 | 2 0 0 2 0 0 (from C to C)
0 0 1 0 1 0 | * * * * * * * 8 * * * * * * | 0 0 0 0 1 0 2 1 0 0 0 0 0 | 0 0 2 2 0 0
0 0 0 1 1 0 | * * * * * * * * 8 * * * * * | 0 0 0 0 1 0 0 0 2 1 0 0 0 | 0 0 2 0 2 0
0 0 0 1 0 1 | * * * * * * * * * 2 * * * * | 0 0 0 0 0 0 0 0 0 4 0 0 0 | 0 0 0 0 4 0
0 0 0 0 2 0 | * * * * * * * * * * 8 * * * | 0 0 0 0 0 0 1 0 1 0 1 1 0 | 0 0 1 1 1 1 (within each E)
0 0 0 0 2 0 | * * * * * * * * * * * 4 * * | 0 0 0 0 0 0 0 1 0 0 2 0 1 | 0 0 0 2 0 2 (from E to E)
0 0 0 0 1 1 | * * * * * * * * * * * * 8 * | 0 0 0 0 0 0 0 0 0 1 0 2 1 | 0 0 0 0 2 2
0 0 0 0 0 2 | * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 0 0 0 0 4 | 0 0 0 0 0 4
------------+-----------------------------+---------------------------+------------
2 0 2 0 0 0 | 1 0 2 0 0 0 1 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * | 2 0 0 0 0 0
1 1 1 0 0 0 | 0 1 1 1 0 0 0 0 0 0 0 0 0 0 | * 8 * * * * * * * * * * * | 0 2 0 0 0 0
1 0 2 0 0 0 | 0 0 2 0 0 1 0 0 0 0 0 0 0 0 | * * 8 * * * * * * * * * * | 1 1 0 0 0 0
0 1 2 0 0 0 | 0 0 0 2 0 1 0 0 0 0 0 0 0 0 | * * * 8 * * * * * * * * * | 0 1 1 0 0 0
0 1 1 1 1 0 | 0 0 0 1 1 0 0 1 1 0 0 0 0 0 | * * * * 8 * * * * * * * * | 0 0 2 0 0 0
0 0 4 0 0 0 | 0 0 0 0 0 2 2 0 0 0 0 0 0 0 | * * * * * 4 * * * * * * * | 1 0 0 1 0 0 (from C to C)
0 0 2 0 2 0 | 0 0 0 0 0 1 0 2 0 0 1 0 0 0 | * * * * * * 8 * * * * * * | 0 0 1 1 0 0 (within each C-E)
0 0 2 0 2 0 | 0 0 0 0 0 0 1 2 0 0 0 1 0 0 | * * * * * * * 4 * * * * * | 0 0 0 2 0 0 (from C-E to C-E)
0 0 0 1 2 0 | 0 0 0 0 0 0 0 0 2 0 1 0 0 0 | * * * * * * * * 8 * * * * | 0 0 1 0 1 0
0 0 0 1 1 1 | 0 0 0 0 0 0 0 0 1 1 0 0 1 0 | * * * * * * * * * 8 * * * | 0 0 0 0 2 0
0 0 0 0 4 0 | 0 0 0 0 0 0 0 0 0 0 2 2 0 0 | * * * * * * * * * * 4 * * | 0 0 0 1 0 1 (from E to E)
0 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 0 1 0 2 0 | * * * * * * * * * * * 8 * | 0 0 0 0 1 1
0 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 0 0 1 2 1 | * * * * * * * * * * * * 4 | 0 0 0 0 0 2
------------+-----------------------------+---------------------------+------------
2 0 4 0 0 0 | 1 0 4 0 0 2 2 0 0 0 0 0 0 0 | 2 0 2 0 0 1 0 0 0 0 0 0 0 | 4 * * * * * trip
1 1 2 0 0 0 | 0 1 2 2 0 1 0 0 0 0 0 0 0 0 | 0 2 1 1 0 0 0 0 0 0 0 0 0 | * 8 * * * * tet
0 1 2 1 2 0 | 0 0 0 2 1 1 0 2 2 0 1 0 0 0 | 0 0 0 1 2 0 1 0 1 0 0 0 0 | * * 8 * * * trip
0 0 4 0 4 0 | 0 0 0 0 0 2 2 4 0 0 2 2 0 0 | 0 0 0 0 0 1 2 2 0 0 1 0 0 | * * * 4 * * cube
0 0 0 1 2 1 | 0 0 0 0 0 0 0 0 2 1 1 0 2 0 | 0 0 0 0 0 0 0 0 1 2 0 1 0 | * * * * 8 * tet
0 0 0 0 4 2 | 0 0 0 0 0 0 0 0 0 0 2 2 4 1 | 0 0 0 0 0 0 0 0 0 0 1 2 2 | * * * * * 4 trip
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