pacsid pith

Acronym	pacsid pith (alt: cuba sircobcu)
Name	partially (mono-) contracted sidpith, partially expanded quawros, cubasirco bicupola
Lace city in approx. ASCII-art	x4o x4o x4o x4x x4x x4o x4o x4o
Dihedral angles	at {3} between tet and trip: 150° at {4} between (lacing) cube and trip: arccos[-sqrt(2/3)] = 144.735610° at {4} between (polar) cube and (lacing) cube: 135° at equatorial {3} between tet and tet: 120° at equatorial {4} between trip and trip: arccos(-1/3) = 109.471221° at equatorial {4} between (lacing) cube and (lacing) cube: 90°
Face vector	40, 120, 134, 54
Confer	uniform relative: hex sidpith related segmentochora: cube \|\| sirco related CRFs: pex hex quawros general polytopal classes: partial Stott expansions bistratic lace towers

Incidence matrix according to Dynkin symbol

oxo3ooo4xxx&#xt   → both heights = 1/sqrt(2) = 0.707107
(cube || pseudo sirco || cube)

o..3o..4o..     & | 16  * |  3  3  0  0 |  3  0  6 0  0 0 | 1  1  3  3
.o.3.o.4.o.       |  * 24 |  0  2  2  2 |  0  4  4 1  2 1 | 0  2  4  2
------------------+-------+-------------+-----------------+-----------
... ... x..     & |  2  0 | 24  *  *  * |  2  0  2 0  0 0 | 1  0  1  2
oo.3oo.4oo.&#x  & |  1  1 |  * 48  *  * |  0  2  2 0  0 0 | 0  1  2  1
.x. ... ...       |  0  2 |  *  * 24  * |  0  2  0 1  1 0 | 0  2  2  0
... ... .x.       |  0  2 |  *  *  * 24 |  0  0  2 0  1 1 | 0  0  2  2
------------------+-------+-------------+-----------------+-----------
... o..4x..     & |  4  0 |  4  0  0  0 | 12  *  * *  * * | 1  0  0  1
ox. ... ...&#x  & |  1  2 |  0  2  1  0 |  * 48  * *  * * | 0  1  1  0
... ... xx.&#x  & |  2  2 |  1  2  0  1 |  *  * 48 *  * * | 0  0  1  1
.x.3.o. ...       |  0  3 |  0  0  3  0 |  *  *  * 8  * * | 0  2  0  0
.x. ... .x.       |  0  4 |  0  0  2  2 |  *  *  * * 12 * | 0  0  2  0
... .o.4.x.       |  0  4 |  0  0  0  4 |  *  *  * *  * 6 | 0  0  0  2
------------------+-------+-------------+-----------------+-----------
o..3o..4x..     & ♦  8  0 | 12  0  0  0 |  6  0  0 0  0 0 | 2  *  *  *
ox.3oo. ...&#x  & ♦  1  3 |  0  3  3  0 |  0  3  0 1  0 0 | * 16  *  *
ox. ... xx.&#x  & ♦  2  4 |  1  4  2  2 |  0  2  2 0  1 0 | *  * 24  *
... oo.4xx.&#x  & ♦  4  4 |  4  4  0  4 |  1  0  4 0  0 1 | *  *  * 12

x(wxx)x x(xwx)x x(xxw)x&#xt   → both heights = 1/sqrt(2) = 0.707107
(cube || pseudo sirco || cube)

o(...). o(...). o(...).    | 8 * * * * | 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0
.(o..). .(o..). .(o..).    | * 8 * * * | 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 1 1 0 1 1 1 1 1 0 0 0 0
.(.o.). .(.o.). .(.o.).    | * * 8 * * | 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 | 0 0 0 0 0 1 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 | 0 0 1 0 1 0 1 1 0 1 0 1 1 1 0 0
.(..o). .(..o). .(..o).    | * * * 8 * | 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1 0 0 0 | 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 | 0 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0
.(...)o .(...)o .(...)o    | * * * * 8 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 | 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1
---------------------------+-----------+-------------------------------------------+---------------------------------------------------------------+--------------------------------
x(...). .(...). .(...).    | 2 0 0 0 0 | 4 * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 1 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 1 1 0 0 1 0 0 0 0 0 0 0 0 0
.(...). x(...). .(...).    | 2 0 0 0 0 | * 4 * * * * * * * * * * * * * * * * * * * | 1 0 1 1 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 | 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0
.(...). .(...). x(...).    | 2 0 0 0 0 | * * 4 * * * * * * * * * * * * * * * * * * | 0 1 1 0 1 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 0 | 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0
o(o..). o(o..). o(o..).&#x | 1 1 0 0 0 | * * * 8 * * * * * * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 1 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 1 1 0 1 0 0 0 0 0 0 0 0
o(.o.). o(.o.). o(.o.).&#x | 1 0 1 0 0 | * * * * 8 * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 1 0 0 1 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 1 0 1 1 0 0 0 0 0 0 0 0
o(..o). o(..o). o(..o).&#x | 1 0 0 1 0 | * * * * * 8 * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0
.(...). .(x..). .(...).    | 0 2 0 0 0 | * * * * * * 4 * * * * * * * * * * * * * * | 0 0 0 1 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 0 | 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0
.(...). .(...). .(x..).    | 0 2 0 0 0 | * * * * * * * 4 * * * * * * * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0
.(oo.). .(oo.). .(oo.).&#x | 0 1 1 0 0 | * * * * * * * * 8 * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 0
.(o.o). .(o.o). .(o.o).&#x | 0 1 0 1 0 | * * * * * * * * * 8 * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 0
.(o..)o .(o..)o .(o..)o&#x | 0 1 0 0 1 | * * * * * * * * * * 8 * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0
.(.x.). .(...). .(...).    | 0 0 2 0 0 | * * * * * * * * * * * 4 * * * * * * * * * | 0 0 0 0 0 1 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 0 1 0 0 0 1 0 0 0 0 0 1 1 0 0
.(...). .(...). .(.x.).    | 0 0 2 0 0 | * * * * * * * * * * * * 4 * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 | 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0
.(.oo). .(.oo). .(.oo).&#x | 0 0 1 1 0 | * * * * * * * * * * * * * 8 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 | 0 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0
.(.o.)o .(.o.)o .(.o.)o&#x | 0 0 1 0 1 | * * * * * * * * * * * * * * 8 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0
.(..x). .(...). .(...).    | 0 0 0 2 0 | * * * * * * * * * * * * * * * 4 * * * * * | 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 1 0 0 0 0 | 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0
.(...). .(..x). .(...).    | 0 0 0 2 0 | * * * * * * * * * * * * * * * * 4 * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 | 0 0 0 1 0 1 0 0 0 0 1 0 0 0 1 0
.(..o)o .(..o)o .(..o)o&#x | 0 0 0 1 1 | * * * * * * * * * * * * * * * * * 8 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0
.(...)x .(...). .(...).    | 0 0 0 0 2 | * * * * * * * * * * * * * * * * * * 4 * * | 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 0 1 0 1 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1
.(...). .(...)x .(...).    | 0 0 0 0 2 | * * * * * * * * * * * * * * * * * * * 4 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 | 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1
.(...). .(...). .(...)x    | 0 0 0 0 2 | * * * * * * * * * * * * * * * * * * * * 4 | 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 1 1 | 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1
---------------------------+-----------+-------------------------------------------+---------------------------------------------------------------+--------------------------------
x(...). x(...). .(...).    | 4 0 0 0 0 | 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
x(...). .(...). x(...).    | 4 0 0 0 0 | 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
.(...). x(...). x(...).    | 4 0 0 0 0 | 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 2 * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
.(...). x(x..). .(...).&#x | 2 2 0 0 0 | 0 1 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 4 * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0
.(...). .(...). x(x..).&#x | 2 2 0 0 0 | 0 0 1 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 4 * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0
x(.x.). .(...). .(...).&#x | 2 0 2 0 0 | 1 0 0 0 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * * 4 * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0
.(...). .(...). x(.x.).&#x | 2 0 2 0 0 | 0 0 1 0 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | * * * * * * 4 * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0
x(..x). .(...). .(...).&#x | 2 0 0 2 0 | 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | * * * * * * * 4 * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0
.(...). x(..x). .(...).&#x | 2 0 0 2 0 | 0 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | * * * * * * * * 4 * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0
o(oo.). o(oo.). o(oo.).&#x | 1 1 1 0 0 | 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * 8 * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0
o(o.o). o(o.o). o(o.o).&#x | 1 1 0 1 0 | 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * 8 * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0
o(.oo). o(.oo). o(.oo).&#x | 1 0 1 1 0 | 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | * * * * * * * * * * * 8 * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0
.(...). .(x..). .(x..).    | 0 4 0 0 0 | 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * 2 * * * * * * * * * * * * * * * * * * | 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0
.(...). .(...). .(xx.).&#x | 0 2 2 0 0 | 0 0 0 0 0 0 0 1 2 0 0 0 1 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * 4 * * * * * * * * * * * * * * * * * | 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0
.(...). .(x.x). .(...).&#x | 0 2 0 2 0 | 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 0 1 0 0 0 0 | * * * * * * * * * * * * * * 4 * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0
.(...). .(x..)x .(...).&#x | 0 2 0 0 2 | 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 0 0 0 1 0 | * * * * * * * * * * * * * * * 4 * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0
.(...). .(...). .(x..)x&#x | 0 2 0 0 2 | 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 0 0 0 0 1 | * * * * * * * * * * * * * * * * 4 * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0
.(ooo). .(ooo). .(ooo).&#x | 0 1 1 1 0 | 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * 8 * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0
.(oo.)o .(oo.)o .(oo.)o&#x | 0 1 1 0 1 | 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * 8 * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0
.(o.o)o .(o.o)o .(o.o)o&#x | 0 1 0 1 1 | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 | * * * * * * * * * * * * * * * * * * * 8 * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0
.(.x.). .(...). .(.x.).    | 0 0 4 0 0 | 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * 2 * * * * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0
.(.xx). .(...). .(...).&#x | 0 0 2 2 0 | 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * 4 * * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0
.(.x.)x .(...). .(...).&#x | 0 0 2 0 2 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 1 0 0 | * * * * * * * * * * * * * * * * * * * * * * 4 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0
.(...). .(...). .(.x.)x&#x | 0 0 2 0 2 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 1 | * * * * * * * * * * * * * * * * * * * * * * * 4 * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 1 0 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 0 0 1 1 0 0 1 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * 8 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0
.(..x). .(..x). .(...).    | 0 0 0 4 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * 2 * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0
.(..x)x .(...). .(...).&#x | 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 0 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * 4 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0
.(...). .(..x)x .(...).&#x | 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * 4 * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0
.(...)x .(...)x .(...).    | 0 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * 2 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
.(...)x .(...). .(...)x    | 0 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 2 * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1
.(...). .(...)x .(...)x    | 0 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 2 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1
---------------------------+-----------+-------------------------------------------+---------------------------------------------------------------+--------------------------------
x(...). x(...). x(...).    ♦ 8 0 0 0 0 | 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 2 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 | 1 * * * * * * * * * * * * * * *
.(...). x(x..). x(x..).&#x ♦ 4 4 0 0 0 | 0 2 2 4 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 2 2 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 | * 2 * * * * * * * * * * * * * *
x(.x.). .(...). x(.x.).&#x ♦ 4 0 4 0 0 | 2 0 2 0 4 0 0 0 0 0 0 2 2 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 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * 2 * * * * * * * * * * * * *
x(..x). x(..x). .(...).&#x ♦ 4 0 0 4 0 | 2 2 0 0 0 4 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 | 1 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | * * * 2 * * * * * * * * * * * *
.(...). .(...). x(xx.).&#x ♦ 2 2 2 0 0 | 0 0 1 2 2 0 0 1 2 0 0 0 1 0 0 0 0 0 0 0 0 | 0 0 0 0 1 0 1 0 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 4 * * * * * * * * * * *
.(...). x(x.x). .(...).&#x ♦ 2 2 0 2 0 | 0 1 0 2 0 2 1 0 0 2 0 0 0 0 0 0 1 0 0 0 0 | 0 0 0 1 0 0 0 0 1 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 4 * * * * * * * * * *
x(.xx). .(...). .(...).&#x ♦ 2 0 2 2 0 | 1 0 0 0 2 2 0 0 0 0 0 1 0 2 0 1 0 0 0 0 0 | 0 0 0 0 0 1 0 1 0 0 0 2 0 0 0 0 0 0 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 0 1 1 1 0 0 1 1 0 0 0 1 0 0 0 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 0 0 0 | * * * * * * * 8 * * * * * * * *
.(...). .(x..)x .(x..)x&#x ♦ 0 4 0 0 4 | 0 0 0 0 0 0 2 2 0 0 4 0 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | * * * * * * * * 2 * * * * * * *
.(...). .(...). .(xx.)x&#x ♦ 0 2 2 0 2 | 0 0 0 0 0 0 0 1 2 0 2 0 1 0 2 0 0 0 0 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 2 0 0 0 0 1 0 0 0 0 0 0 0 | * * * * * * * * * 4 * * * * * *
.(...). .(x.x)x .(...).&#x ♦ 0 2 0 2 2 | 0 0 0 0 0 0 1 0 0 2 2 0 0 0 0 0 1 2 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 0 0 0 0 0 0 0 1 0 0 0 | * * * * * * * * * * 4 * * * * *
.(ooo)o .(ooo)o .(ooo)o&#x ♦ 0 1 1 1 1 | 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 | * * * * * * * * * * * 8 * * * *
.(.x.)x .(...). .(.x.)x&#x ♦ 0 0 4 0 4 | 0 0 0 0 0 0 0 0 0 0 0 2 2 0 4 0 0 0 2 0 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 0 0 0 0 1 0 | * * * * * * * * * * * * 2 * * *
.(.xx)x .(...). .(...).&#x ♦ 0 0 2 2 2 | 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 1 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 1 1 0 2 0 1 0 0 0 0 | * * * * * * * * * * * * * 4 * *
.(..x)x .(..x)x .(...).&#x ♦ 0 0 0 4 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 2 2 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 1 2 2 1 0 0 | * * * * * * * * * * * * * * 2 *
.(...)x .(...)x .(...)x    ♦ 0 0 0 0 8 | 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 2 2 2 | * * * * * * * * * * * * * * * 1

qo ox3oo4xx&#zx   → height = 0
(tegum sum of (q,x,x,x)-tes and equatorial sirco)

o. o.3o.4o.     | 16  * |  3  3  0  0 |  3  0  6 0  0 0 | 1  1  3  3
.o .o3.o4.o     |  * 24 |  0  2  2  2 |  0  4  4 1  2 1 | 0  2  4  2
----------------+-------+-------------+-----------------+-----------
.. .. .. x.     |  2  0 | 24  *  *  * |  2  0  2 0  0 0 | 1  0  1  2
oo oo3oo4oo&#x  |  1  1 |  * 48  *  * |  0  2  2 0  0 0 | 0  1  2  1
.. .x .. ..     |  0  2 |  *  * 24  * |  0  2  0 1  1 0 | 0  2  2  0
.. .. .. .x     |  0  2 |  *  *  * 24 |  0  0  2 0  1 1 | 0  0  2  2
----------------+-------+-------------+-----------------+-----------
.. .. o.4x.     |  4  0 |  4  0  0  0 | 12  *  * *  * * | 1  0  0  1
.. ox .. ..&#x  |  1  2 |  0  2  1  0 |  * 48  * *  * * | 0  1  1  0
.. .. .. xx&#x  |  2  2 |  1  2  0  1 |  *  * 48 *  * * | 0  0  1  1
.. .x3.o ..     |  0  3 |  0  0  3  0 |  *  *  * 8  * * | 0  2  0  0
.. .x .. .x     |  0  4 |  0  0  2  2 |  *  *  * * 12 * | 0  0  2  0
.. .. .o4.x     |  0  4 |  0  0  0  4 |  *  *  * *  * 6 | 0  0  0  2
----------------+-------+-------------+-----------------+-----------
.. o.3o.4x.     ♦  8  0 | 12  0  0  0 |  6  0  0 0  0 0 | 2  *  *  *
.. ox3oo ..&#x  ♦  1  3 |  0  3  3  0 |  0  3  0 1  0 0 | * 16  *  *
.. ox .. xx&#x  ♦  2  4 |  1  4  2  2 |  0  2  2 0  1 0 | *  * 24  *
.. .. oo4xx&#x  ♦  4  4 |  4  4  0  4 |  1  0  4 0  0 1 | *  *  * 12

wxxx xwxx xxwx oooq&#zx   → height = 0
(tegum sum of 3 ortho (w,x,x)-cubes and a (x,x,x,q)-tes)

o... o... o... o...     | 8 * *  * | 1 1 1 1  2 0 0 0  0 0 0  0 0 0 0 | 1 1 2 1 2 1  2  2 0 0 0 0  0 0 0 0 0 0 0 | 2 2 2  2 0 0 0 0
.o.. .o.. .o.. .o..     | * 8 *  * | 0 0 1 0  0 1 1 1  2 0 0  0 0 0 0 | 0 0 0 1 0 1  2  0 1 1 2 2  2 0 0 0 0 0 0 | 0 0 2  2 2 2 0 0
..o. ..o. ..o. ..o.     | * * 8  * | 0 0 0 1  0 0 0 1  0 1 1  2 0 0 0 | 0 1 0 0 0 1  0  2 0 1 0 0  2 1 2 2 0 0 0 | 2 0 0  2 2 0 2 0
...o ...o ...o ...o     | * * * 16 | 0 0 0 0  1 0 0 0  1 0 0  1 1 1 1 | 0 0 1 0 1 0  1  1 0 0 1 1  1 0 1 1 1 1 1 | 1 1 1  1 1 1 1 1
------------------------+----------+----------------------------------+------------------------------------------+-----------------
.... x... .... ....     | 2 0 0  0 | 4 * * *  * * * *  * * *  * * * * | 1 1 2 0 0 0  0  0 0 0 0 0  0 0 0 0 0 0 0 | 2 2 0  0 0 0 0 0
.... .... x... ....     | 2 0 0  0 | * 4 * *  * * * *  * * *  * * * * | 1 0 0 1 2 0  0  0 0 0 0 0  0 0 0 0 0 0 0 | 0 2 2  0 0 0 0 0
oo.. oo.. oo.. oo..&#x  | 1 1 0  0 | * * 8 *  * * * *  * * *  * * * * | 0 0 0 1 0 1  2  0 0 0 0 0  0 0 0 0 0 0 0 | 0 0 2  2 0 0 0 0
o.o. o.o. o.o. o.o.&#x  | 1 0 1  0 | * * * 8  * * * *  * * *  * * * * | 0 1 0 0 0 1  0  2 0 0 0 0  0 0 0 0 0 0 0 | 2 0 0  2 0 0 0 0
o..o o..o o..o o..o&#x  | 1 0 0  1 | * * * * 16 * * *  * * *  * * * * | 0 0 1 0 1 0  1  1 0 0 0 0  0 0 0 0 0 0 0 | 1 1 1  1 0 0 0 0
.x.. .... .... ....     | 0 2 0  0 | * * * *  * 4 * *  * * *  * * * * | 0 0 0 0 0 0  0  0 1 1 2 0  0 0 0 0 0 0 0 | 0 0 0  0 2 2 0 0
.... .... .x.. ....     | 0 2 0  0 | * * * *  * * 4 *  * * *  * * * * | 0 0 0 1 0 0  0  0 1 0 0 2  0 0 0 0 0 0 0 | 0 0 2  0 0 2 0 0
.oo. .oo. .oo. .oo.&#x  | 0 1 1  0 | * * * *  * * * 8  * * *  * * * * | 0 0 0 0 0 1  0  0 0 1 0 0  2 0 0 0 0 0 0 | 0 0 0  2 2 0 0 0
.o.o .o.o .o.o .o.o&#x  | 0 1 0  1 | * * * *  * * * * 16 * *  * * * * | 0 0 0 0 0 0  1  0 0 0 1 1  1 0 0 0 0 0 0 | 0 0 1  1 1 1 0 0
..x. .... .... ....     | 0 0 2  0 | * * * *  * * * *  * 4 *  * * * * | 0 0 0 0 0 0  0  0 0 1 0 0  0 1 2 0 0 0 0 | 0 0 0  0 2 0 2 0
.... ..x. .... ....     | 0 0 2  0 | * * * *  * * * *  * * 4  * * * * | 0 1 0 0 0 0  0  0 0 0 0 0  0 1 0 2 0 0 0 | 2 0 0  0 0 0 2 0
..oo ..oo ..oo ..oo&#x  | 0 0 1  1 | * * * *  * * * *  * * * 16 * * * | 0 0 0 0 0 0  0  1 0 0 0 0  1 0 1 1 0 0 0 | 1 0 0  1 1 0 1 0
...x .... .... ....     | 0 0 0  2 | * * * *  * * * *  * * *  * 8 * * | 0 0 0 0 0 0  0  0 0 0 1 0  0 0 1 0 1 1 0 | 0 0 0  0 1 1 1 1
.... ...x .... ....     | 0 0 0  2 | * * * *  * * * *  * * *  * * 8 * | 0 0 1 0 0 0  0  0 0 0 0 0  0 0 0 1 1 0 1 | 1 1 0  0 0 0 1 1
.... .... ...x ....     | 0 0 0  2 | * * * *  * * * *  * * *  * * * 8 | 0 0 0 0 1 0  0  0 0 0 0 1  0 0 0 0 0 1 1 | 0 1 1  0 0 1 0 1
------------------------+----------+----------------------------------+------------------------------------------+-----------------
.... x... x... ....     | 4 0 0  0 | 2 2 0 0  0 0 0 0  0 0 0  0 0 0 0 | 2 * * * * *  *  * * * * *  * * * * * * * | 0 2 0  0 0 0 0 0
.... x.x. .... ....&#x  | 2 0 2  0 | 1 0 0 2  0 0 0 0  0 0 1  0 0 0 0 | * 4 * * * *  *  * * * * *  * * * * * * * | 2 0 0  0 0 0 0 0
.... x..x .... ....&#x  | 2 0 0  2 | 1 0 0 0  2 0 0 0  0 0 0  0 0 1 0 | * * 8 * * *  *  * * * * *  * * * * * * * | 1 1 0  0 0 0 0 0
.... .... xx.. ....&#x  | 2 2 0  0 | 0 1 2 0  0 0 1 0  0 0 0  0 0 0 0 | * * * 4 * *  *  * * * * *  * * * * * * * | 0 0 2  0 0 0 0 0
.... .... x..x ....&#x  | 2 0 0  2 | 0 1 0 0  2 0 0 0  0 0 0  0 0 0 1 | * * * * 8 *  *  * * * * *  * * * * * * * | 0 1 1  0 0 0 0 0
ooo. ooo. ooo. ooo.&#x  | 1 1 1  0 | 0 0 1 1  0 0 0 1  0 0 0  0 0 0 0 | * * * * * 8  *  * * * * *  * * * * * * * | 0 0 0  2 0 0 0 0
oo.o oo.o oo.o oo.o&#x  | 1 1 0  1 | 0 0 1 0  1 0 0 0  1 0 0  0 0 0 0 | * * * * * * 16  * * * * *  * * * * * * * | 0 0 1  1 0 0 0 0
o.oo o.oo o.oo o.oo&#x  | 1 0 1  1 | 0 0 0 1  1 0 0 0  0 0 0  1 0 0 0 | * * * * * *  * 16 * * * *  * * * * * * * | 1 0 0  1 0 0 0 0
.x.. .... .x.. ....     | 0 4 0  0 | 0 0 0 0  0 2 2 0  0 0 0  0 0 0 0 | * * * * * *  *  * 2 * * *  * * * * * * * | 0 0 0  0 0 2 0 0
.xx. .... .... ....&#x  | 0 2 2  0 | 0 0 0 0  0 1 0 2  0 1 0  0 0 0 0 | * * * * * *  *  * * 4 * *  * * * * * * * | 0 0 0  0 2 0 0 0
.x.x .... .... ....&#x  | 0 2 0  2 | 0 0 0 0  0 1 0 0  2 0 0  0 1 0 0 | * * * * * *  *  * * * 8 *  * * * * * * * | 0 0 0  0 1 1 0 0
.... .... .x.x ....&#x  | 0 2 0  2 | 0 0 0 0  0 0 1 0  2 0 0  0 0 0 1 | * * * * * *  *  * * * * 8  * * * * * * * | 0 0 1  0 0 1 0 0
.ooo .ooo .ooo .ooo&#x  | 0 1 1  1 | 0 0 0 0  0 0 0 1  1 0 0  1 0 0 0 | * * * * * *  *  * * * * * 16 * * * * * * | 0 0 0  1 1 0 0 0
..x. ..x. .... ....     | 0 0 4  0 | 0 0 0 0  0 0 0 0  0 2 2  0 0 0 0 | * * * * * *  *  * * * * *  * 2 * * * * * | 0 0 0  0 0 0 2 0
..xx .... .... ....&#x  | 0 0 2  2 | 0 0 0 0  0 0 0 0  0 1 0  2 1 0 0 | * * * * * *  *  * * * * *  * * 8 * * * * | 0 0 0  0 1 0 1 0
.... ..xx .... ....&#x  | 0 0 2  2 | 0 0 0 0  0 0 0 0  0 0 1  2 0 1 0 | * * * * * *  *  * * * * *  * * * 8 * * * | 1 0 0  0 0 0 1 0
...x ...x .... ....     | 0 0 0  4 | 0 0 0 0  0 0 0 0  0 0 0  0 2 2 0 | * * * * * *  *  * * * * *  * * * * 4 * * | 0 0 0  0 0 0 1 1
...x .... ...x ....     | 0 0 0  4 | 0 0 0 0  0 0 0 0  0 0 0  0 2 0 2 | * * * * * *  *  * * * * *  * * * * * 4 * | 0 0 0  0 0 1 0 1
.... ...x ...x ....     | 0 0 0  4 | 0 0 0 0  0 0 0 0  0 0 0  0 0 2 2 | * * * * * *  *  * * * * *  * * * * * * 4 | 0 1 0  0 0 0 0 1
------------------------+----------+----------------------------------+------------------------------------------+-----------------
.... x.xx .... ....&#x  ♦ 2 0 2  2 | 1 0 0 2  2 0 0 0  0 0 1  2 0 1 0 | 0 1 1 0 0 0  0  2 0 0 0 0  0 0 0 1 0 0 0 | 8 * *  * * * * *
.... x..x x..x ....&#x  ♦ 4 0 0  4 | 2 2 0 0  4 0 0 0  0 0 0  0 0 2 2 | 1 0 2 0 2 0  0  0 0 0 0 0  0 0 0 0 0 0 1 | * 4 *  * * * * *
.... .... xx.x ....&#x  ♦ 2 2 0  2 | 0 1 2 0  2 0 1 0  2 0 0  0 0 0 1 | 0 0 0 1 1 0  2  0 0 0 0 1  0 0 0 0 0 0 0 | * * 8  * * * * *
oooo oooo oooo oooo&#x  ♦ 1 1 1  1 | 0 0 1 1  1 0 0 1  1 0 0  1 0 0 0 | 0 0 0 0 0 1  1  1 0 0 0 0  1 0 0 0 0 0 0 | * * * 16 * * * *
.xxx .... .... ....&#x  ♦ 0 2 2  2 | 0 0 0 0  0 1 0 2  2 1 0  2 1 0 0 | 0 0 0 0 0 0  0  0 0 1 1 0  2 0 1 0 0 0 0 | * * *  * 8 * * *
.x.x .... .x.x ....&#x  ♦ 0 4 0  4 | 0 0 0 0  0 2 2 0  4 0 0  0 2 0 2 | 0 0 0 0 0 0  0  0 1 0 2 2  0 0 0 0 0 1 0 | * * *  * * 4 * *
..xx ..xx .... ....&#x  ♦ 0 0 4  4 | 0 0 0 0  0 0 0 0  0 2 2  4 2 2 0 | 0 0 0 0 0 0  0  0 0 0 0 0  0 1 2 2 1 0 0 | * * *  * * * 4 *
...x ...x ...x ....     ♦ 0 0 0  8 | 0 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 2 2 2 | * * *  * * * * 2

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