X  		-- o3x3o *b3o (ico)
     
S   T		-- xx3oo3ox *b3xo&#x (rita)

where: 
X = o3x3o *b3o (ico)
S = x3o3o *b3x (rit)
T = x3o3x *b3o (gyro rit)

Incidence matrix according to Dynkin symbol

xox3oxo3oox *b3xoo&#x   → all pw. heights = 1/sqrt(2) = 0.707107
                          all layer-heights = sqrt(3/8) = 0.612372

o..3o..3o.. *b3o..    & | 64  * |  3  3   3  3  0 |  3  3  3  3   3  3   6  6   9  0  0 |  1  3  1  3  3  1  3  6  3   9  3  9  4  3  0 0 | 1  1  3  1  3  9  4  3  4  3 1 0 | 1  4  3 1 1
.o.3.o.3.o. *b3.o.      |  * 24 |  0  0   8  0  8 |  0  0  0  4  16  4   8  0   0  4  8 |  0  0  0  8  2  8  8  4  8   8  0  0  0  0  4 2 | 0  4  4  4  4  4  8  2  0  0 0 1 | 2  4  1 2 0
------------------------+-------+-----------------+-------------------------------------+-------------------------------------------------+----------------------------------+------------
x.. ... ...    ...    & |  2  0 | 96  *   *  *  * |  2  1  0  1   0  0   0  2   0  0  0 |  1  2  0  2  1  0  0  2  0   0  2  3  0  0  0 0 | 1  1  2  0  2  3  0  0  3  1 0 0 | 1  3  1 0 1
... ... ...    x..    & |  2  0 |  * 96   *  *  * |  0  1  2  0   0  1   0  0   2  0  0 |  0  2  1  0  1  0  2  0  0   2  0  2  2  1  0 0 | 1  0  2  1  0  2  2  1  2  1 1 0 | 1  2  1 1 1
oo.3oo.3oo. *b3oo.&#x & |  1  1 |  *  * 192  *  * |  0  0  0  1   2  1   2  0   0  0  0 |  0  0  0  2  1  1  2  2  2   3  0  0  0  0  0 0 | 0  1  2  1  2  3  3  1  0  0 0 0 | 1  3  1 1 0
o.o3o.o3o.o *b3o.o&#x   |  2  0 |  *  *   * 96  * |  0  0  0  0   0  0   2  2   4  0  0 |  0  0  0  0  0  0  0  2  1   4  1  4  2  2  0 0 | 0  0  0  0  1  4  2  2  2  2 1 0 | 0  2  2 1 1
... .x. ...    ...      |  0  2 |  *  *   *  * 96 |  0  0  0  0   2  0   0  0   0  1  2 |  0  0  0  2  0  2  2  0  1   0  0  0  0  0  2 1 | 0  2  2  2  1  0  2  0  0  0 0 1 | 2  2  0 1 0
------------------------+-------+-----------------+-------------------------------------+-------------------------------------------------+----------------------------------+------------
x..3o.. ...    ...    & |  3  0 |  3  0   0  0  0 | 64  *  *  *   *  *   *  *   *  *  * |  1  1  0  1  0  0  0  0  0   0  1  0  0  0  0 0 | 1  1  1  0  1  0  0  0  2  0 0 0 | 1  2  0 0 1
x.. ... ...    x..    & |  4  0 |  2  2   0  0  0 |  * 48  *  *   *  *   *  *   *  *  * |  0  2  0  0  1  0  0  0  0   0  0  2  0  0  0 0 | 1  0  2  0  0  2  0  0  2  1 0 0 | 1  2  1 0 1
... o.. ... *b3x..    & |  3  0 |  0  3   0  0  0 |  *  * 64  *   *  *   *  *   *  *  * |  0  1  1  0  0  0  1  0  0   0  0  0  1  0  0 0 | 1  0  1  1  0  0  1  0  1  0 1 0 | 1  1  0 1 1
xo. ... ...    ...&#x & |  2  1 |  1  0   2  0  0 |  *  *  * 96   *  *   *  *   *  *  * |  0  0  0  2  1  0  0  2  0   0  0  0  0  0  0 0 | 0  1  2  0  2  3  0  0  0  0 0 0 | 1  3  1 0 0
... ox. ...    ...&#x & |  1  2 |  0  0   2  0  1 |  *  *  *  * 192  *   *  *   *  *  * |  0  0  0  1  0  1  1  0  1   0  0  0  0  0  0 0 | 0  1  1  1  1  0  2  0  0  0 0 0 | 1  2  0 1 0
... ... ...    xo.&#x & |  2  1 |  0  1   2  0  0 |  *  *  *  *   * 96   *  *   *  *  * |  0  0  0  0  1  0  2  0  0   2  0  0  0  0  0 0 | 0  0  2  1  0  2  2  1  0  0 0 0 | 1  2  1 1 0
ooo3ooo3ooo *b3ooo&#x   |  2  1 |  0  0   2  1  0 |  *  *  *  *   *  * 192  *   *  *  * |  0  0  0  0  0  0  0  1  1   2  0  0  0  0  0 0 | 0  0  0  0  1  2  2  1  0  0 0 0 | 0  2  1 1 0
x.x ... ...    ...&#x   |  4  0 |  2  0   0  2  0 |  *  *  *  *   *  *   * 96   *  *  * |  0  0  0  0  0  0  0  1  0   0  1  2  0  0  0 0 | 0  0  0  0  1  2  0  0  2  1 0 0 | 0  2  1 0 1
... ... o.x    ...&#x & |  3  0 |  0  1   0  2  0 |  *  *  *  *   *  *   *  * 192  *  * |  0  0  0  0  0  0  0  0  0   1  0  1  1  1  0 0 | 0  0  0  0  0  1  1  1  1  1 1 0 | 0  1  1 1 1
.o.3.x. ...    ...      |  0  3 |  0  0   0  0  3 |  *  *  *  *   *  *   *  *   * 32  * |  0  0  0  2  0  0  0  0  0   0  0  0  0  0  2 0 | 0  2  2  0  1  0  0  0  0  0 0 1 | 2  2  0 0 0
... .x.3.o.    ...    & |  0  3 |  0  0   0  0  3 |  *  *  *  *   *  *   *  *   *  * 64 |  0  0  0  0  0  1  1  0  0   0  0  0  0  0  1 1 | 0  1  1  2  0  0  1  0  0  0 0 1 | 2  1  0 1 0
------------------------+-------+-----------------+-------------------------------------+-------------------------------------------------+----------------------------------+------------
x..3o..3o..    ...    & ♦  4  0 |  6  0   0  0  0 |  4  0  0  0   0  0   0  0   0  0  0 | 16  *  *  *  *  *  *  *  *   *  *  *  *  *  * * | 1  1  0  0  0  0  0  0  1  0 0 0 | 1  1  0 0 1
x..3o.. ... *b3x..    & ♦ 12  0 | 12 12   0  0  0 |  4  6  4  0   0  0   0  0   0  0  0 |  * 16  *  *  *  *  *  *  *   *  *  *  *  *  * * | 1  0  1  0  0  0  0  0  1  0 0 0 | 1  1  0 0 1
... o..3o.. *b3x..    & ♦  4  0 |  0  6   0  0  0 |  0  0  4  0   0  0   0  0   0  0  0 |  *  * 16  *  *  *  *  *  *   *  *  *  *  *  * * | 1  0  0  1  0  0  0  0  0  0 1 0 | 1  0  0 1 1
xo.3ox. ...    ...&#x & ♦  3  3 |  3  0   6  0  3 |  1  0  0  3   3  0   0  0   0  1  0 |  *  *  * 64  *  *  *  *  *   *  *  *  *  *  * * | 0  1  1  0  1  0  0  0  0  0 0 0 | 1  2  1 0 0
xo. ... ...    xo.&#x & ♦  4  1 |  2  2   4  0  0 |  0  1  0  2   0  2   0  0   0  0  0 |  *  *  *  * 48  *  *  *  *   *  *  *  *  *  * * | 0  0  2  0  0  2  0  0  0  0 0 0 | 1  2  1 0 0
... ox.3oo.    ...&#x & ♦  1  3 |  0  0   3  0  3 |  0  0  0  0   3  0   0  0   0  0  1 |  *  *  *  *  * 64  *  *  *   *  *  *  *  *  * * | 0  1  0  1  0  0  1  0  0  0 0 0 | 1  1  0 1 0
... ox. ... *b3xo.&#x & ♦  3  3 |  0  3   6  0  3 |  0  0  1  0   3  3   0  0   0  0  1 |  *  *  *  *  *  * 64  *  *   *  *  *  *  *  * * | 0  0  1  1  0  0  1  0  0  0 0 0 | 1  1  0 1 0
xox ... ...    ...&#x   ♦  4  1 |  2  0   4  2  0 |  0  0  0  2   0  0   2  1   0  0  0 |  *  *  *  *  *  *  * 96  *   *  *  *  *  *  * * | 0  0  0  0  1  2  0  0  0  0 0 0 | 0  2  1 0 0
... oxo ...    ...&#x   ♦  2  2 |  0  0   4  1  1 |  0  0  0  0   2  0   2  0   0  0  0 |  *  *  *  *  *  *  *  * 96   *  *  *  *  *  * * | 0  0  0  0  1  0  2  0  0  0 0 0 | 0  2  0 1 0
... ... oox    ...&#x & ♦  3  1 |  0  1   3  2  0 |  0  0  0  0   0  1   2  0   1  0  0 |  *  *  *  *  *  *  *  *  * 192  *  *  *  *  * * | 0  0  0  0  0  1  1  1  0  0 0 0 | 0  1  1 1 0
x.x3o.o ...    ...&#x   ♦  6  0 |  6  0   0  3  0 |  2  0  0  0   0  0   0  3   0  0  0 |  *  *  *  *  *  *  *  *  *   * 32  *  *  *  * * | 0  0  0  0  1  0  0  0  2  0 0 0 | 0  2  0 0 1
x.x ... o.x    ...&#x & ♦  6  0 |  3  2   0  4  0 |  0  1  0  0   0  0   0  2   2  0  0 |  *  *  *  *  *  *  *  *  *   *  * 96  *  *  * * | 0  0  0  0  0  1  0  0  1  1 0 0 | 0  1  1 0 1
... o.o3o.x    ...&#x & ♦  4  0 |  0  3   0  3  0 |  0  0  1  0   0  0   0  0   3  0  0 |  *  *  *  *  *  *  *  *  *   *  *  * 64  *  * * | 0  0  0  0  0  0  1  0  1  0 1 0 | 0  1  0 1 1
... ... o.x    x.o&#x   ♦  4  0 |  0  2   0  4  0 |  0  0  0  0   0  0   0  0   4  0  0 |  *  *  *  *  *  *  *  *  *   *  *  *  * 48  * * | 0  0  0  0  0  0  0  1  0  1 1 0 | 0  0  1 1 1
.o.3.x.3.o.    ...    & ♦  0  6 |  0  0   0  0 12 |  0  0  0  0   0  0   0  0   0  4  4 |  *  *  *  *  *  *  *  *  *   *  *  *  *  * 16 * | 0  1  1  0  0  0  0  0  0  0 0 1 | 2  1  0 0 0
... .x.3.o. *b3.o.      ♦  0  6 |  0  0   0  0 12 |  0  0  0  0   0  0   0  0   0  0  8 |  *  *  *  *  *  *  *  *  *   *  *  *  *  *  * 8 | 0  0  0  2  0  0  0  0  0  0 0 1 | 2  0  0 1 0
------------------------+-------+-----------------+-------------------------------------+-------------------------------------------------+----------------------------------+------------
x..3o..3o.. *b3x..    & ♦ 32  0 | 48 48   0  0  0 | 32 24 32  0   0  0   0  0   0  0  0 |  8  8  8  0  0  0  0  0  0   0  0  0  0  0  0 0 | 2  *  *  *  *  *  *  *  *  * * * | 1  0  0 0 1
xo.3ox.3oo.    ...&#x & ♦  4  6 |  6  0  12  0 12 |  4  0  0  6  12  0   0  0   0  4  4 |  1  0  0  4  0  4  0  0  0   0  0  0  0  0  1 0 | * 16  *  *  *  *  *  *  *  * * * | 1  1  0 0 0
xo.3ox. ... *b3xo.&#x & ♦ 12  6 | 12 12  24  0 12 |  4  6  4 12  12 12   0  0   0  4  4 |  0  1  0  4  6  0  4  0  0   0  0  0  0  0  1 0 | *  * 16  *  *  *  *  *  *  * * * | 1  1  0 0 0
... ox.3oo. *b3xo.&#x & ♦  4  6 |  0  6  12  0 12 |  0  0  4  0  12  6   0  0   0  0  8 |  0  0  1  0  0  4  4  0  0   0  0  0  0  0  0 1 | *  *  * 16  *  *  *  *  *  * * * | 1  0  0 1 0
xox3oxo ...    ...&#x   ♦  6  3 |  6  0  12  3  3 |  2  0  0  6   6  0   6  3   0  1  0 |  0  0  0  2  0  0  0  3  3   0  1  0  0  0  0 0 | *  *  *  * 32  *  *  *  *  * * * | 0  2  0 0 0
xox ... oox    ...&#x & ♦  6  1 |  3  2   6  4  0 |  0  1  0  3   0  2   4  2   2  0  0 |  0  0  0  0  1  0  0  2  0   2  0  1  0  0  0 0 | *  *  *  *  * 96  *  *  *  * * * | 0  1  1 0 0
... oxo3oox    ...&#x & ♦  4  3 |  0  3   9  3  3 |  0  0  1  0   6  3   6  0   3  0  1 |  0  0  0  0  0  1  1  0  3   3  0  0  1  0  0 0 | *  *  *  *  *  * 64  *  *  * * * | 0  1  0 1 0
... ... oox    xoo&#x   ♦  4  1 |  0  2   4  4  0 |  0  0  0  0   0  2   4  0   4  0  0 |  0  0  0  0  0  0  0  0  0   4  0  0  0  1  0 0 | *  *  *  *  *  *  * 48  *  * * * | 0  0  1 1 0
x.x3o.o3o.x    ...&#x & ♦ 16  0 | 18 12   0 12  0 |  8  6  4  0   0  0   0 12  12  0  0 |  1  1  0  0  0  0  0  0  0   0  4  6  4  0  0 0 | *  *  *  *  *  *  *  * 16  * * * | 0  1  0 0 1
x.x ... o.x    x.o&#x   ♦  8  0 |  4  4   0  8  0 |  0  2  0  0   0  0   0  4   8  0  0 |  0  0  0  0  0  0  0  0  0   0  0  4  0  2  0 0 | *  *  *  *  *  *  *  *  * 24 * * | 0  0  1 0 1
... o.o3o.x *b3x.o&#x   ♦  8  0 |  0 12   0 12  0 |  0  0  8  0   0  0   0  0  24  0  0 |  0  0  2  0  0  0  0  0  0   0  0  0  8  6  0 0 | *  *  *  *  *  *  *  *  *  * 8 * | 0  0  0 1 1
.o.3.x.3.o. *b3.o.      ♦  0 24 |  0  0   0  0 96 |  0  0  0  0   0  0   0  0   0 32 64 |  0  0  0  0  0  0  0  0  0   0  0  0  0  0 16 8 | *  *  *  *  *  *  *  *  *  * * 1 | 1  0  0 0 1
------------------------+-------+-----------------+-------------------------------------+-------------------------------------------------+----------------------------------+------------
xo.3ox.3oo. *b3xo.&#x & ♦ 32 24 | 48 48  96  0 96 | 32 24 32 48  96 48   0  0   0 32 64 |  8  8  8 32 24 32 32  0  0   0  0  0  0  0 16 8 | 1  8  8  8  0  0  0  0  0  0 0 1 | 2  *  * * *
xox3oxo3oox    ...&#x & ♦ 16  6 | 18 12  36 12 12 |  8  6  4 18  24 12  24 12  12  4  4 |  1  1  0  8  6  4  4 12 12  12  4  6  4  0  1 0 | 0  1  1  0  4  6  4  0  1  0 0 0 | * 16  * * *
xox ... oox    xoo&#x   ♦  8  1 |  4  4   8  8  0 |  0  2  0  4   0  4   8  4   8  0  0 |  0  0  0  0  2  0  0  4  0   8  0  4  0  2  0 0 | 0  0  0  0  0  4  0  2  0  1 0 0 | *  * 24 * *
... oxo3oox *b3xoo&#x   ♦  8  6 |  0 12  24 12 12 |  0  0  8  0  24 12  24  0  24  0  8 |  0  0  2  0  0  8  8  0 12  24  0  0  8  6  0 1 | 0  0  0  2  0  0  8  6  0  0 1 0 | *  *  * 8 *
x.x3o.o3o.x *b3x.o&#x   ♦ 64  0 | 96 96   0 96  0 | 64 48 64  0   0  0   0 96 192  0  0 | 16 16 16  0  0  0  0  0  0   0 32 96 64 48  0 0 | 2  0  0  0  0  0  0  0 16 24 8 2 | *  *  * * 1