Acronym tedjak (alt.: hexgyt, hexalhin) Name tridiminished icosiheptaheptacontidipeton,tridiminished 22,1,hexadecachoral gyrotrigonism Circumradius sqrt(2/3) = 0.816497 Lace cityin approx. ASCII-art ``` where: E E = o3o3x *b3o (hex) X O = o3o3o *b3x (gyro hex) O X = x3o3o *b3o (alt. gyro hex) ``` Coordinates (1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8); 1/sqrt(24), 1/sqrt(8))     & all permutations and all even changes of sign in first 4 coords ("even" hex E) (1/sqrt(8), 1/sqrt(8), 1/sqrt(8), -1/sqrt(8); 1/sqrt(24), -1/sqrt(8))   & all permutations and all even changes of sign in first 4 coords ("odd" hex O) (1/sqrt(2), 0, 0, 0; -1/sqrt(6), 0)                                                    & all permutations and all changes of sign in first 4 coords ("normal" hex X) Confer uniform relatives: jak   ico   segmentopeta: dijak   hedjak   general polytopal classes: segmentopeta   scaliform Externallinks

Note that the coordinates provided show that the projection of tedjak by reduction of the last 2 coordinates would result in ico.

Incidence matrix according to Dynkin symbol

```xoo3ooo3oxo *b3oox&#x   → all pairwise heights = 1/sqrt(2) = 0.707107

o..3o..3o.. *b3o..    | 8 * * ♦  6  4  4  0  0  0 | 12 12  6 12  6 12  0  0  0  0 | 4 4 12  6  4 12  6  4 24 12 12 0 0  0  0  0 0 0 | 1 4 4 1 4 4 1 12 12 12  4  4  6 0 0 0 0 0 | 1 1 4 4  6 1 0
.o.3.o.3.o. *b3.o.    | * 8 * ♦  0  4  0  6  4  0 |  0  6 12  0  0 12 12 12  6  0 | 0 0  4  6 12  0  0  0 12 24 12 4 4 12  4  6 0 0 | 0 4 1 4 0 0 0  4 12  6 12  4 12 1 4 1 4 0 | 1 0 4 1  6 4 1
..o3..o3..o *b3..o    | * * 8 ♦  0  0  4  0  4  6 |  0  0  0  6 12 12  0  6 12 12 | 0 0  0  0  0  4  6 12 12 12 24 0 0  4 12  6 4 4 | 0 0 0 0 1 4 4  4  6 12  4 12 12 0 1 4 4 1 | 0 1 1 4  6 4 1
----------------------+-------+-------------------+-------------------------------+-------------------------------------------------+-------------------------------------------+---------------
x.. ... ...    ...    | 2 0 0 | 24  *  *  *  *  * ♦  4  2  0  2  0  0  0  0  0  0 | 2 2  4  1  0  4  1  0  4  0  0 0 0  0  0  0 0 0 | 1 2 2 0 2 2 0  4  2  2  0  0  0 0 0 0 0 0 | 1 1 2 2  1 0 0
oo.3oo.3oo. *b3oo.&#x | 1 1 0 |  * 32  *  *  *  * ♦  0  3  3  0  0  3  0  0  0  0 | 0 0  3  3  3  0  0  0  6  6  3 0 0  0  0  0 0 0 | 0 3 1 1 0 0 0  3  6  3  3  1  3 0 0 0 0 0 | 1 0 3 1  3 1 0
o.o3o.o3o.o *b3o.o&#x | 1 0 1 |  *  * 32  *  *  * ♦  0  0  0  3  3  3  0  0  0  0 | 0 0  0  0  0  3  3  3  6  3  6 0 0  0  0  0 0 0 | 0 0 0 0 1 3 1  3  3  6  1  3  3 0 0 0 0 0 | 0 1 1 3  3 1 0
... ... .x.    ...    | 0 2 0 |  *  *  * 24  *  * ♦  0  0  2  0  0  0  4  2  0  0 | 0 0  0  1  4  0  0  0  0  4  0 2 2  4  0  1 0 0 | 0 2 0 2 0 0 0  0  2  0  4  0  2 1 2 0 2 0 | 1 0 2 0  1 2 1
.oo3.oo3.oo *b3.oo&#x | 0 1 1 |  *  *  *  * 32  * ♦  0  0  0  0  0  3  0  3  3  0 | 0 0  0  0  0  0  0  0  3  6  6 0 0  3  3  3 0 0 | 0 0 0 0 0 0 0  1  3  3  3  3  6 0 1 1 3 0 | 0 0 1 1  3 3 1
... ... ...    ..x    | 0 0 2 |  *  *  *  *  * 24 ♦  0  0  0  0  2  0  0  0  2  4 | 0 0  0  0  0  0  1  4  0  0  4 0 0  0  4  1 2 2 | 0 0 0 0 0 2 2  0  0  2  0  4  2 0 0 2 2 1 | 0 1 0 2  1 2 1
----------------------+-------+-------------------+-------------------------------+-------------------------------------------------+-------------------------------------------+---------------
x..3o.. ...    ...    | 3 0 0 |  3  0  0  0  0  0 | 32  *  *  *  *  *  *  *  *  * | 1 1  1  0  0  1  0  0  0  0  0 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 | 1 1 1 1  0 0 0
xo. ... ...    ...&#x | 2 1 0 |  1  2  0  0  0  0 |  * 48  *  *  *  *  *  *  *  * | 0 0  2  1  0  0  0  0  2  0  0 0 0  0  0  0 0 0 | 0 2 1 0 0 0 0  2  2  1  0  0  0 0 0 0 0 0 | 1 0 2 1  1 0 0
... ... ox.    ...&#x | 1 2 0 |  0  2  0  1  0  0 |  *  * 48  *  *  *  *  *  *  * | 0 0  0  1  2  0  0  0  0  2  0 0 0  0  0  0 0 0 | 0 2 0 1 0 0 0  0  2  0  2  0  1 0 0 0 0 0 | 1 0 2 0  1 1 0
x.o ... ...    ...&#x | 2 0 1 |  1  0  2  0  0  0 |  *  *  * 48  *  *  *  *  *  * | 0 0  0  0  0  2  1  0  2  0  0 0 0  0  0  0 0 0 | 0 0 0 0 1 2 0  2  1  2  0  0  0 0 0 0 0 0 | 0 1 1 2  1 0 0
... ... ...    o.x&#x | 1 0 2 |  0  0  2  0  0  1 |  *  *  *  * 48  *  *  *  *  * | 0 0  0  0  0  0  1  2  0  0  2 0 0  0  0  0 0 0 | 0 0 0 0 0 2 1  0  0  2  0  2  1 0 0 0 0 0 | 0 1 0 2  1 1 0
ooo3ooo3ooo *b3ooo&#x | 1 1 1 |  0  1  1  0  1  0 |  *  *  *  *  * 96  *  *  *  * ♦ 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  1  2  2  1  1  2 0 0 0 0 0 | 0 0 1 1  2 1 0
... .o.3.x.    ...    | 0 3 0 |  0  0  0  3  0  0 |  *  *  *  *  *  * 32  *  *  * | 0 0  0  0  1  0  0  0  0  0  0 1 1  1  0  0 0 0 | 0 1 0 1 0 0 0  0  0  0  1  0  0 1 1 0 1 0 | 1 0 1 0  0 1 1
... ... .xo    ...&#x | 0 2 1 |  0  0  0  1  2  0 |  *  *  *  *  *  *  * 48  *  * | 0 0  0  0  0  0  0  0  0  2  0 0 0  2  0  1 0 0 | 0 0 0 0 0 0 0  0  1  0  2  0  2 0 1 0 2 0 | 0 0 1 0  1 2 1
... ... ...    .ox&#x | 0 1 2 |  0  0  0  0  2  1 |  *  *  *  *  *  *  *  * 48  * | 0 0  0  0  0  0  0  0  0  0  2 0 0  0  2  1 0 0 | 0 0 0 0 0 0 0  0  0  1  0  2  2 0 0 1 2 0 | 0 0 0 1  1 2 1
... ..o ... *b3..x    | 0 0 3 |  0  0  0  0  0  3 |  *  *  *  *  *  *  *  *  * 32 | 0 0  0  0  0  0  0  1  0  0  0 0 0  0  1  0 1 1 | 0 0 0 0 0 1 1  0  0  0  0  1  0 0 0 1 1 1 | 0 1 0 1  0 1 1
----------------------+-------+-------------------+-------------------------------+-------------------------------------------------+-------------------------------------------+---------------
x..3o..3o..    ...    ♦ 4 0 0 |  6  0  0  0  0  0 |  4  0  0  0  0  0  0  0  0  0 | 8 *  *  *  *  *  *  *  *  *  * * *  *  *  * * * | 1 1 0 0 1 0 0  0  0  0  0  0  0 0 0 0 0 0 | 1 1 1 0  0 0 0
x..3o.. ... *b3o..    ♦ 4 0 0 |  6  0  0  0  0  0 |  4  0  0  0  0  0  0  0  0  0 | * 8  *  *  *  *  *  *  *  *  * * *  *  *  * * * | 1 0 1 0 0 1 0  0  0  0  0  0  0 0 0 0 0 0 | 1 1 0 1  0 0 0
xo.3oo. ...    ...&#x ♦ 3 1 0 |  3  3  0  0  0  0 |  1  3  0  0  0  0  0  0  0  0 | * * 32  *  *  *  *  *  *  *  * * *  *  *  * * * | 0 1 1 0 0 0 0  1  0  0  0  0  0 0 0 0 0 0 | 1 0 1 1  0 0 0
xo. ... ox.    ...&#x ♦ 2 2 0 |  1  4  0  1  0  0 |  0  2  2  0  0  0  0  0  0  0 | * *  * 24  *  *  *  *  *  *  * * *  *  *  * * * | 0 2 0 0 0 0 0  0  2  0  0  0  0 0 0 0 0 0 | 1 0 2 0  1 0 0
... oo.3ox.    ...&#x ♦ 1 3 0 |  0  3  0  3  0  0 |  0  0  3  0  0  0  1  0  0  0 | * *  *  * 32  *  *  *  *  *  * * *  *  *  * * * | 0 1 0 1 0 0 0  0  0  0  1  0  0 0 0 0 0 0 | 1 0 1 0  0 1 0
x.o3o.o ...    ...&#x ♦ 3 0 1 |  3  0  3  0  0  0 |  1  0  0  3  0  0  0  0  0  0 | * *  *  *  * 32  *  *  *  *  * * *  *  *  * * * | 0 0 0 0 1 1 0  1  0  0  0  0  0 0 0 0 0 0 | 0 1 1 1  0 0 0
x.o ... ...    o.x&#x ♦ 2 0 2 |  1  0  4  0  0  1 |  0  0  0  2  2  0  0  0  0  0 | * *  *  *  *  * 24  *  *  *  * * *  *  *  * * * | 0 0 0 0 0 2 0  0  0  2  0  0  0 0 0 0 0 0 | 0 1 0 2  1 0 0
... o.o ... *b3o.x&#x ♦ 1 0 3 |  0  0  3  0  0  3 |  0  0  0  0  3  0  0  0  0  1 | * *  *  *  *  *  * 32  *  *  * * *  *  *  * * * | 0 0 0 0 0 1 1  0  0  0  0  1  0 0 0 0 0 0 | 0 1 0 1  0 1 0
xoo ... ...    ...&#x ♦ 2 1 1 |  1  2  2  0  1  0 |  0  1  0  1  0  2  0  0  0  0 | * *  *  *  *  *  *  * 96  *  * * *  *  *  * * * | 0 0 0 0 0 0 0  1  1  1  0  0  0 0 0 0 0 0 | 0 0 1 1  1 0 0
... ... oxo    ...&#x ♦ 1 2 1 |  0  2  1  1  2  0 |  0  0  1  0  0  2  0  1  0  0 | * *  *  *  *  *  *  *  * 96  * * *  *  *  * * * | 0 0 0 0 0 0 0  0  1  0  1  0  1 0 0 0 0 0 | 0 0 1 0  1 1 0
... ... ...    oox&#x ♦ 1 1 2 |  0  1  2  0  2  1 |  0  0  0  0  1  2  0  0  1  0 | * *  *  *  *  *  *  *  *  * 96 * *  *  *  * * * | 0 0 0 0 0 0 0  0  0  1  0  1  1 0 0 0 0 0 | 0 0 0 1  1 1 0
.o.3.o.3.x.    ...    ♦ 0 4 0 |  0  0  0  6  0  0 |  0  0  0  0  0  0  4  0  0  0 | * *  *  *  *  *  *  *  *  *  * 8 *  *  *  * * * | 0 1 0 0 0 0 0  0  0  0  0  0  0 1 1 0 0 0 | 1 0 1 0  0 0 1
... .o.3.x. *b3.o.    ♦ 0 4 0 |  0  0  0  6  0  0 |  0  0  0  0  0  0  4  0  0  0 | * *  *  *  *  *  *  *  *  *  * * 8  *  *  * * * | 0 0 0 1 0 0 0  0  0  0  0  0  0 1 0 0 1 0 | 1 0 0 0  0 1 1
... .oo3.xo    ...&#x ♦ 0 3 1 |  0  0  0  3  3  0 |  0  0  0  0  0  0  1  3  0  0 | * *  *  *  *  *  *  *  *  *  * * * 32  *  * * * | 0 0 0 0 0 0 0  0  0  0  1  0  0 0 1 0 1 0 | 0 0 1 0  0 1 1
... .oo ... *b3.ox&#x ♦ 0 1 3 |  0  0  0  0  3  3 |  0  0  0  0  0  0  0  0  3  1 | * *  *  *  *  *  *  *  *  *  * * *  * 32  * * * | 0 0 0 0 0 0 0  0  0  0  0  1  0 0 0 1 1 0 | 0 0 0 1  0 1 1
... ... .xo    .ox&#x ♦ 0 2 2 |  0  0  0  1  4  1 |  0  0  0  0  0  0  0  2  2  0 | * *  *  *  *  *  *  *  *  *  * * *  *  * 24 * * | 0 0 0 0 0 0 0  0  0  0  0  0  2 0 0 0 2 0 | 0 0 0 0  1 2 1
..o3..o ... *b3..x    ♦ 0 0 4 |  0  0  0  0  0  6 |  0  0  0  0  0  0  0  0  0  4 | * *  *  *  *  *  *  *  *  *  * * *  *  *  * 8 * | 0 0 0 0 0 1 0  0  0  0  0  0  0 0 0 1 0 1 | 0 1 0 1  0 0 1
... ..o3..o *b3..x    ♦ 0 0 4 |  0  0  0  0  0  6 |  0  0  0  0  0  0  0  0  0  4 | * *  *  *  *  *  *  *  *  *  * * *  *  *  * * 8 | 0 0 0 0 0 0 1  0  0  0  0  0  0 0 0 0 1 1 | 0 1 0 0  0 1 1
----------------------+-------+-------------------+-------------------------------+-------------------------------------------------+-------------------------------------------+---------------
x..3o..3o.. *b3o..    ♦ 8 0 0 | 24  0  0  0  0  0 | 32  0  0  0  0  0  0  0  0  0 | 8 8  0  0  0  0  0  0  0  0  0 0 0  0  0  0 0 0 | 1 * * * * * *  *  *  *  *  *  * * * * * * | 1 1 0 0  0 0 0
xo.3oo.3ox.    ...&#x ♦ 4 4 0 |  6 12  0  6  0  0 |  4 12 12  0  0  0  4  0  0  0 | 1 0  4  6  4  0  0  0  0  0  0 1 0  0  0  0 0 0 | * 8 * * * * *  *  *  *  *  *  * * * * * * | 1 0 1 0  0 0 0
xo.3oo. ... *b3oo.&#x ♦ 4 1 0 |  6  4  0  0  0  0 |  4  6  0  0  0  0  0  0  0  0 | 0 1  4  0  0  0  0  0  0  0  0 0 0  0  0  0 0 0 | * * 8 * * * *  *  *  *  *  *  * * * * * * | 1 0 0 1  0 0 0
... oo.3ox. *b3oo.&#x ♦ 1 4 0 |  0  4  0  6  0  0 |  0  0  6  0  0  0  4  0  0  0 | 0 0  0  0  4  0  0  0  0  0  0 0 1  0  0  0 0 0 | * * * 8 * * *  *  *  *  *  *  * * * * * * | 1 0 0 0  0 1 0
x.o3o.o3o.o    ...&#x ♦ 4 0 1 |  6  0  4  0  0  0 |  4  0  0  6  0  0  0  0  0  0 | 1 0  0  0  0  4  0  0  0  0  0 0 0  0  0  0 0 0 | * * * * 8 * *  *  *  *  *  *  * * * * * * | 0 1 1 0  0 0 0
x.o3o.o ... *b3o.x&#x ♦ 4 0 4 |  6  0 12  0  0  6 |  4  0  0 12 12  0  0  0  0  4 | 0 1  0  0  0  4  6  4  0  0  0 0 0  0  0  0 1 0 | * * * * * 8 *  *  *  *  *  *  * * * * * * | 0 1 0 1  0 0 0
... o.o3o.o *b3o.x&#x ♦ 1 0 4 |  0  0  4  0  0  6 |  0  0  0  0  6  0  0  0  0  4 | 0 0  0  0  0  0  0  4  0  0  0 0 0  0  0  0 0 1 | * * * * * * 8  *  *  *  *  *  * * * * * * | 0 1 0 0  0 1 0
xoo3ooo ...    ...&#x ♦ 3 1 1 |  3  3  3  0  1  0 |  1  3  0  3  0  3  0  0  0  0 | 0 0  1  0  0  1  0  0  3  0  0 0 0  0  0  0 0 0 | * * * * * * * 32  *  *  *  *  * * * * * * | 0 0 1 1  0 0 0
xoo ... oxo    ...&#x ♦ 2 2 1 |  1  4  2  1  2  0 |  0  2  2  1  0  4  0  1  0  0 | 0 0  0  1  0  0  0  0  2  2  0 0 0  0  0  0 0 0 | * * * * * * *  * 48  *  *  *  * * * * * * | 0 0 1 0  1 0 0
xoo ... ...    oox&#x ♦ 2 1 2 |  1  2  4  0  2  1 |  0  1  0  2  2  4  0  0  1  0 | 0 0  0  0  0  0  1  0  2  0  2 0 0  0  0  0 0 0 | * * * * * * *  *  * 48  *  *  * * * * * * | 0 0 0 1  1 0 0
... ooo3oxo    ...&#x ♦ 1 3 1 |  0  3  1  3  3  0 |  0  0  3  0  0  3  1  3  0  0 | 0 0  0  0  1  0  0  0  0  3  0 0 0  1  0  0 0 0 | * * * * * * *  *  *  * 32  *  * * * * * * | 0 0 1 0  0 1 0
... ooo ... *b3oox&#x ♦ 1 1 3 |  0  1  3  0  3  3 |  0  0  0  0  3  3  0  0  3  1 | 0 0  0  0  0  0  0  1  0  0  3 0 0  0  1  0 0 0 | * * * * * * *  *  *  *  * 32  * * * * * * | 0 0 0 1  0 1 0
... ... oxo    oox&#x ♦ 1 2 2 |  0  2  2  1  4  1 |  0  0  1  0  1  4  0  2  2  0 | 0 0  0  0  0  0  0  0  0  2  2 0 0  0  0  1 0 0 | * * * * * * *  *  *  *  *  * 48 * * * * * | 0 0 0 0  1 1 0
.o.3.o.3.x. *b3.o.    ♦ 0 8 0 |  0  0  0 24  0  0 |  0  0  0  0  0  0 32  0  0  0 | 0 0  0  0  0  0  0  0  0  0  0 8 8  0  0  0 0 0 | * * * * * * *  *  *  *  *  *  * 1 * * * * | 1 0 0 0  0 0 1
.oo3.oo3.xo    ...&#x ♦ 0 4 1 |  0  0  0  6  4  0 |  0  0  0  0  0  0  4  6  0  0 | 0 0  0  0  0  0  0  0  0  0  0 1 0  4  0  0 0 0 | * * * * * * *  *  *  *  *  *  * * 8 * * * | 0 0 1 0  0 0 1
.oo3.oo ... *b3.ox&#x ♦ 0 1 4 |  0  0  0  0  4  6 |  0  0  0  0  0  0  0  0  6  4 | 0 0  0  0  0  0  0  0  0  0  0 0 0  0  4  0 1 0 | * * * * * * *  *  *  *  *  *  * * * 8 * * | 0 0 0 1  0 0 1
... .oo3.xo *b3.ox&#x ♦ 0 4 4 |  0  0  0  6 12  6 |  0  0  0  0  0  0  4 12 12  4 | 0 0  0  0  0  0  0  0  0  0  0 0 1  4  4  6 0 1 | * * * * * * *  *  *  *  *  *  * * * * 8 * | 0 0 0 0  0 1 1
..o3..o2..o *b3..x    ♦ 0 0 8 |  0  0  0  0  0 24 |  0  0  0  0  0  0  0  0  0 32 | 0 0  0  0  0  0  0  0  0  0  0 0 0  0  0  0 8 8 | * * * * * * *  *  *  *  *  *  * * * * * 1 | 0 1 0 0  0 0 1
----------------------+-------+-------------------+-------------------------------+-------------------------------------------------+-------------------------------------------+---------------
xo.3oo.3ox. *b3oo.&#x ♦ 8 8 0 | 24 32  0 24  0  0 | 32 48 48  0  0  0 32  0  0  0 | 8 8 32 24 32  0  0  0  0  0  0 8 8  0  0  0 0 0 | 1 8 8 8 0 0 0  0  0  0  0  0  0 1 0 0 0 0 | 1 * * *  * * *
x.o3o.o3o.o *b3o.x&#x ♦ 8 0 8 | 24  0 32  0  0 24 | 32  0  0 48 48  0  0  0  0 32 | 8 8  0  0  0 32 24 32  0  0  0 0 0  0  0  0 8 8 | 1 0 0 0 8 8 8  0  0  0  0  0  0 0 0 0 0 1 | * 1 * *  * * *
xoo3ooo3oxo    ...&#x ♦ 4 4 1 |  6 12  4  6  4  0 |  4 12 12  6  0 12  4  6  0  0 | 1 0  4  6  4  4  0  0 12 12  0 1 0  4  0  0 0 0 | 0 1 0 0 1 0 0  4  6  0  4  0  0 0 1 0 0 0 | * * 8 *  * * *
xoo3ooo ... *b3oox&#x ♦ 4 1 4 |  6  4 12  0  4  6 |  4  6  0 12 12 12  0  0  6  4 | 0 1  4  0  0  4  6  4 12  0 12 0 0  0  4  0 1 0 | 0 0 1 0 0 1 0  4  0  6  0  4  0 0 0 1 0 0 | * * * 8  * * *
xoo ... oxo    oox&#x ♦ 2 2 2 |  1  4  4  1  4  1 |  0  2  2  2  2  8  0  2  2  0 | 0 0  0  1  0  0  1  0  4  4  4 0 0  0  0  1 0 0 | 0 0 0 0 0 0 0  0  2  2  0  0  2 0 0 0 0 0 | * * * * 24 * *
... ooo3oxo *b3oox&#x ♦ 1 4 4 |  0  4  4  6 12  6 |  0  0  6  0  6 12  4 12 12  4 | 0 0  0  0  4  0  0  4  0 12 12 0 1  4  4  6 0 1 | 0 0 0 1 0 0 1  0  0  0  4  4  6 0 0 0 1 0 | * * * *  * 8 *
.oo3.oo3.xo *b3.ox&#x ♦ 0 8 8 |  0  0  0 24 32 24 |  0  0  0  0  0  0 32 48 48 32 | 0 0  0  0  0  0  0  0  0  0  0 8 8 32 32 24 8 8 | 0 0 0 0 0 0 0  0  0  0  0  0  0 1 8 8 8 1 | * * * *  * * 1
```
```or
o..3o..3o.. *b3o..    & | 24 ♦  6  8 | 12  36 12 |  8  32 12  48 | 1  8 10 20  30 | 2  9  6
------------------------+----+-------+-----------+---------------+----------------+--------
x.. ... ...    ...    & |  2 | 72  * ♦  4   4  0 |  4   8  2   4 | 1  4  4  4   4 | 2  4  1
oo.3oo.3oo. *b3oo.&#x & |  2 |  * 96 ♦  0   6  3 |  0   6  3  15 | 0  3  2  7  12 | 1  5  3
------------------------+----+-------+-----------+---------------+----------------+--------
x..3o.. ...    ...    & |  3 |  3  0 | 96   *  * |  2   2  0   0 | 1  2  2  1   0 | 2  2  0
xo. ... ...    ...&#x & |  3 |  1  2 |  * 288  * |  0   2  1   2 | 0  2  1  2   3 | 1  3  1
ooo3ooo3ooo *b3ooo&#x   |  3 |  0  3 |  *   * 96 ♦  0   0  0   6 | 0  0  0  3   6 | 0  3  2
------------------------+----+-------+-----------+---------------+----------------+--------
x..3o..3o..    ...    & ♦  4 |  6  0 |  4   0  0 | 48   *  *   * | 1  1  1  0   0 | 2  1  0
xo.3oo. ...    ...&#x & ♦  4 |  3  3 |  1   3  0 |  * 192  *   * | 0  1  1  1   0 | 1  2  0
xo. ... ox.    ...&#x & ♦  4 |  2  4 |  0   4  0 |  *   * 72   * | 0  2  0  0   2 | 1  2  1
xoo ... ...    ...&#x & ♦  4 |  1  5 |  0   2  2 |  *   *  * 288 | 0  0  0  1   2 | 0  2  1
------------------------+----+-------+-----------+---------------+----------------+--------
x..3o..3o.. *b3o..    & ♦  8 | 24  0 | 32   0  0 | 16   0  0   0 | 3  *  *  *   * | 2  0  0
xo.3oo.3ox.    ...&#x & ♦  8 | 12 12 |  8  24  0 |  2   8  6   0 | * 24  *  *   * | 1  1  0
xo.3oo. ... *b3oo.&#x & ♦  5 |  6  4 |  4   6  0 |  1   4  0   0 | *  * 48  *   * | 1  1  0
xoo3ooo ...    ...&#x & ♦  5 |  3  7 |  1   6  3 |  0   2  0   3 | *  *  * 96   * | 0  2  0
xoo ... oxo    ...&#x & ♦  5 |  2  8 |  0   6  4 |  0   0  1   4 | *  *  *  * 144 | 0  1  1
------------------------+----+-------+-----------+---------------+----------------+--------
xo.3oo.3ox. *b3oo.&#x & ♦ 16 | 48 32 | 64  96  0 | 32  64 24   0 | 2  8 16  0   0 | 3  *  *
xoo3ooo3oxo    ...&#x & ♦  9 | 12 20 |  8  36 12 |  2  16  6  24 | 0  1  2  8   6 | * 24  *
xoo ... oxo    oox&#x   ♦  6 |  3 12 |  0  12  8 |  0   0  3  12 | 0  0  0  0   6 | *  * 24
```

```x..3o..3o.. *b3o.. || .oo3.oo3.xo *b3.ox&#x   → height = sqrt(3/8) = 0.612372
hex || hin

o..3o..3o.. *b3o..      | 8  * ♦  6  8  0  0 | 12 24 12 12  0  0 |  8 24 12  8 24  24  0  0  0  0 | 1  8  8  2 12 24  8  6 0  0 0 | 2  8  6 1 0
.o.3.o.3.o. *b3.o.    & | * 16 ♦  0  4  6  4 |  0  6 12 12 12 18 |  0  4  6 12 12  36  4  4 16  6 | 0  4  1  4  4 18 16 12 1  5 4 | 1  5  6 4 1
------------------------+------+-------------+-------------------+--------------------------------+-------------------------------+------------
x.. ... ...    ...      | 2  0 | 24  *  *  * ♦  4  4  0  0  0  0 |  4  8  2  0  4   0  0  0  0  0 | 1  4  4  0  4  4  0  0 0  0 0 | 1  4  1 0 0
oo.3oo.3oo. *b3oo.&#x & | 1  1 |  * 64  *  * ♦  0  3  3  3  0  0 |  0  3  3  3  6   9  0  0  0  0 | 0  3  1  1  3  9  4  3 0  0 0 | 1  4  3 1 0
... ... .x.    ...    & | 0  2 |  *  * 48  * ♦  0  0  2  0  4  2 |  0  0  1  4  0   4  2  2  4  1 | 0  2  0  2  0  2  4  2 1  2 2 | 1  2  1 2 1
.oo3.oo3.oo *b3.oo&#x   | 0  2 |  *  *  * 32 ♦  0  0  0  3  0  6 |  0  0  0  0  3  12  0  0  6  3 | 0  0  0  0  1  6  6  6 0  2 3 | 0  2  3 3 1
------------------------+------+-------------+-------------------+--------------------------------+-------------------------------+------------
x..3o.. ...    ...      | 3  0 |  3  0  0  0 | 32  *  *  *  *  * |  2  2  0  0  0   0  0  0  0  0 | 1  2  2  0  1  0  0  0 0  0 0 | 2  2  0 0 0
xo. ... ...    ...&#x & | 2  1 |  1  2  0  0 |  * 96  *  *  *  * |  0  2  1  0  2   0  0  0  0  0 | 0  2  1  0  2  3  0  0 0  0 0 | 1  3  1 0 0
... ... ox.    ...&#x & | 1  2 |  0  2  1  0 |  *  * 96  *  *  * |  0  0  1  2  0   2  0  0  0  0 | 0  2  0  1  0  2  2  1 0  0 0 | 1  2  1 1 0
ooo3ooo3ooo *b3ooo&#x   | 1  2 |  0  2  0  1 |  *  *  * 96  *  * ♦  0  0  0  0  2   4  0  0  0  0 | 0  0  0  0  1  4  2  2 0  0 0 | 0  2  2 1 0
... .o.3.x.    ...    & | 0  3 |  0  0  3  0 |  *  *  *  * 64  * |  0  0  0  1  0   0  1  1  1  0 | 0  1  0  1  0  0  1  0 1  1 1 | 1  1  0 1 1
... ... .xo    ...&#x & | 0  3 |  0  0  1  2 |  *  *  *  *  * 96 |  0  0  0  0  0   2  0  0  2  1 | 0  0  0  0  0  1  2  2 0  1 2 | 0  1  1 2 1
------------------------+------+-------------+-------------------+--------------------------------+-------------------------------+------------
x..3o..3o..    ...    & ♦ 4  0 |  6  0  0  0 |  4  0  0  0  0  0 | 16  *  *  *  *   *  *  *  *  * | 1  1  1  0  0  0  0  0 0  0 0 | 2  1  0 0 0
xo.3oo. ...    ...&#x & ♦ 3  1 |  3  3  0  0 |  1  3  0  0  0  0 |  * 64  *  *  *   *  *  *  *  * | 0  1  1  0  1  0  0  0 0  0 0 | 1  2  0 0 0
xo. ... ox.    ...&#x & ♦ 2  2 |  1  4  1  0 |  0  2  2  0  0  0 |  *  * 48  *  *   *  *  *  *  * | 0  2  0  0  0  2  0  0 0  0 0 | 1  2  1 0 0
... oo.3ox.    ...&#x & ♦ 1  3 |  0  3  3  0 |  0  0  3  0  1  0 |  *  *  * 64  *   *  *  *  *  * | 0  1  0  1  0  0  1  0 0  0 0 | 1  1  0 1 0
xoo ... ...    ...&#x   ♦ 2  2 |  1  4  0  1 |  0  2  0  2  0  0 |  *  *  *  * 96   *  *  *  *  * | 0  0  0  0  1  2  0  0 0  0 0 | 0  2  1 0 0
... ... oxo    ...&#x & ♦ 1  3 |  0  3  1  2 |  0  0  1  2  0  1 |  *  *  *  *  * 192  *  *  *  * | 0  0  0  0  0  1  1  1 0  0 0 | 0  1  1 1 0
.o.3.o.3.x.    ...    & ♦ 0  4 |  0  0  6  0 |  0  0  0  0  4  0 |  *  *  *  *  *   * 16  *  *  * | 0  1  0  0  0  0  0  0 1  1 0 | 1  1  0 0 1
... .o.3.x. *b3.o.    & ♦ 0  4 |  0  0  6  0 |  0  0  0  0  4  0 |  *  *  *  *  *   *  * 16  *  * | 0  0  0  1  0  0  0  0 1  0 1 | 1  0  0 1 1
... .oo3.xo    ...&#x & ♦ 0  4 |  0  0  3  3 |  0  0  0  0  1  3 |  *  *  *  *  *   *  *  * 64  * | 0  0  0  0  0  0  1  0 0  1 1 | 0  1  0 1 1
... ... .xo    .ox&#x   ♦ 0  4 |  0  0  2  4 |  0  0  0  0  0  4 |  *  *  *  *  *   *  *  *  * 24 | 0  0  0  0  0  0  0  2 0  0 2 | 0  0  1 2 1
------------------------+------+-------------+-------------------+--------------------------------+-------------------------------+------------
x..3o..3o.. *b3o..      ♦ 8  0 | 24  0  0  0 | 32  0  0  0  0  0 | 16  0  0  0  0   0  0  0  0  0 | 1  *  *  *  *  *  *  * *  * * | 2  0  0 0 0
xo.3oo.3ox.    ...&#x & ♦ 4  4 |  6 12  6  0 |  4 12 12  0  4  0 |  1  4  6  4  0   0  1  0  0  0 | * 16  *  *  *  *  *  * *  * * | 1  1  0 0 0
xo.3oo. ... *b3oo.&#x & ♦ 4  1 |  6  4  0  0 |  4  6  0  0  0  0 |  1  4  0  0  0   0  0  0  0  0 | *  * 16  *  *  *  *  * *  * * | 1  1  0 0 0
... oo.3ox. *b3oo.&#x & ♦ 1  4 |  0  4  6  0 |  0  0  6  0  4  0 |  0  0  0  4  0   0  0  1  0  0 | *  *  * 16  *  *  *  * *  * * | 1  0  0 1 0
xoo3ooo ...    ...&#x   ♦ 3  2 |  3  6  0  1 |  1  6  0  3  0  0 |  0  2  0  0  3   0  0  0  0  0 | *  *  *  * 32  *  *  * *  * * | 0  2  0 0 0
xoo ... oxo    ...&#x & ♦ 2  3 |  1  6  1  2 |  0  3  2  4  0  1 |  0  0  1  0  2   2  0  0  0  0 | *  *  *  *  * 96  *  * *  * * | 0  1  1 0 0
... ooo3oxo    ...&#x & ♦ 1  4 |  0  4  3  3 |  0  0  3  3  1  3 |  0  0  0  1  0   3  0  0  1  0 | *  *  *  *  *  * 64  * *  * * | 0  1  0 1 0
... ... oxo    oox&#x   ♦ 1  4 |  0  4  2  4 |  0  0  2  4  0  4 |  0  0  0  0  0   4  0  0  0  1 | *  *  *  *  *  *  * 48 *  * * | 0  0  1 1 0
.o.3.o.3.x. *b3.o.    & ♦ 0  8 |  0  0 24  0 |  0  0  0  0 32  0 |  0  0  0  0  0   0  8  8  0  0 | *  *  *  *  *  *  *  * 2  * * | 1  0  0 0 1
.oo3.oo3.xo    ...&#x & ♦ 0  5 |  0  0  6  4 |  0  0  0  0  4  6 |  0  0  0  0  0   0  1  0  4  0 | *  *  *  *  *  *  *  * * 16 * | 0  1  0 0 1
... .oo3.xo *b3.ox&#x   ♦ 0  8 |  0  0 12 12 |  0  0  0  0  8 24 |  0  0  0  0  0   0  0  2  8  6 | *  *  *  *  *  *  *  * *  * 8 | 0  0  0 1 1
------------------------+------+-------------+-------------------+--------------------------------+-------------------------------+------------
xo.3oo.3ox. *b3oo.&#x & ♦ 8  8 | 24 32 24  0 | 32 48 48  0 32  0 | 16 32 24 32  0   0  8  8  0  0 | 1  8  8  8  0  0  0  0 1  0 0 | 2  *  * * *
xoo3ooo3oxo    ...&#x & ♦ 4  5 |  6 16  6  4 |  4 18 12 12  4  6 |  1  8  6  4 12  12  1  0  4  0 | 0  1  1  0  4  6  4  0 0  1 0 | * 16  * * *
xoo ... oxo    oox&#x   ♦ 2  4 |  1  8  2  4 |  0  4  4  8  0  4 |  0  0  2  0  4   8  0  0  0  1 | 0  0  0  0  0  4  0  2 0  0 0 | *  * 24 * *
... ooo3oxo *b3oox&#x   ♦ 1  8 |  0  8 12 12 |  0  0 12 12  8 24 |  0  0  0  8  0  24  0  2  8  6 | 0  0  0  2  0  0  8  6 0  0 1 | *  *  * 8 *
.oo3.oo3.xo *b3.ox&#x   ♦ 0 16 |  0  0 48 32 |  0  0  0  0 64 96 |  0  0  0  0  0   0 16 16 64 24 | 0  0  0  0  0  0  0  0 2 16 8 | *  *  * * 1
```