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intersecting this cycle of cubes (projected onto the vertical A-A-connections in the pattern above) finally will be withdrawn likewise.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Finally, from sidpith, known to be tristratic (when considered cube-first), the central stratos (sircope) could be withdrawn (directly adjoining the outer parts). Then, using this bicupola in an orthogonal direction, i.e. with a (now withdrawn) former cube first, that one is still tristratic. Here again the central stratos could be withdrawn.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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