x o3o3o     o o3o3x		-- hix
                   
                   
                   
       x o3x3o     		-- ope

The external blend of two such polypeta, then blending out its opepyp, results in hixa tetaope.

Incidence matrix according to Dynkin symbol

xox ooo3oox3oxo&#x   → height(1,2) = height(2,3) = sqrt(3/8) = 0.612372
                       height(1,3) = 1/sqrt(2) = 0.707107

o.. o..3o..3o..    | 2 *  * | 1 4  6 0  0 0  0 | 4  6 12 6 12 0  0  0  0  0 0 0 | 6 4 12 12  6 12 4 4 0  0 0 0 0 0 0 0 | 4 1 12 6 4 4 4 4 1 0 0 0 0 | 1 4 4 1 1 0
.o. .o.3.o.3.o.    | * 4  * | 0 2  0 3  6 0  0 | 1  6  6 0  0 3  3  6  6  0 0 0 | 3 6  3  6  6  0 0 0 1  3 3 2 6 0 0 0 | 3 2  3 3 2 6 0 0 0 1 3 2 0 | 1 1 3 2 0 1
..o ..o3..o3..o    | * * 12 | 0 0  1 0  2 1  4 | 0  0  2 1  4 0  2  4  1  4 2 2 | 0 0  2  4  1  4 2 2 0  4 1 2 2 2 2 1 | 0 0  4 1 2 2 2 2 1 2 2 1 1 | 0 2 2 1 1 1
-------------------+--------+------------------+--------------------------------+--------------------------------------+----------------------------+------------
x.. ... ... ...    | 2 0  0 | 1 *  * *  * *  * | 4  0  0 6  0 0  0  0  0  0 0 0 | 6 0 12  0  0 12 0 0 0  0 0 0 0 0 0 0 | 4 0 12 6 0 0 4 4 0 0 0 0 0 | 1 4 4 0 1 0
oo. oo.3oo.3oo.&#x | 1 1  0 | * 8  * *  * *  * | 1  3  3 0  0 0  0  0  0  0 0 0 | 3 3  3  3  3  0 0 0 0  0 0 0 0 0 0 0 | 3 1  3 3 1 3 0 0 0 0 0 0 0 | 1 1 3 1 0 0
o.o o.o3o.o3o.o&#x | 1 0  1 | * * 12 *  * *  * | 0  0  2 1  4 0  0  0  0  0 0 0 | 0 0  2  4  1  4 2 2 0  0 0 0 0 0 0 0 | 0 0  4 1 2 2 2 2 1 0 0 0 0 | 0 2 2 1 1 0
... ... ... .x.    | 0 2  0 | * *  * 6  * *  * | 0  2  0 0  0 2  0  0  2  0 0 0 | 1 4  0  0  2  0 0 0 1  0 1 0 4 0 0 0 | 2 2  0 1 0 4 0 0 0 0 2 2 0 | 1 0 2 2 1 0
.oo .oo3.oo3.oo&#x | 0 1  1 | * *  * * 24 *  * | 0  0  1 0  0 0  1  2  1  0 0 0 | 0 0  1  2  1  0 0 0 0  2 1 1 2 0 0 0 | 0 0  2 1 1 2 0 0 0 1 2 1 0 | 0 1 2 1 0 1
..x ... ... ...    | 0 0  2 | * *  * *  * 6  * | 0  0  0 1  0 0  2  0  0  4 0 0 | 0 0  2  0  0  4 0 0 0  4 1 0 0 2 2 0 | 0 0  4 1 0 0 2 2 0 2 2 0 1 | 0 2 2 0 1 1
... ... ..x ...    | 0 0  2 | * *  * *  * * 24 | 0  0  0 0  1 0  0  1  0  1 1 1 | 0 0  0  1  0  1 1 1 0  1 0 1 1 1 1 1 | 0 0  1 0 1 1 1 1 1 1 1 1 1 | 0 1 1 1 1 1
-------------------+--------+------------------+--------------------------------+--------------------------------------+----------------------------+------------
xo. ... ... ...&#x | 2 1  0 | 1 2  0 0  0 0  0 | 4  *  * *  * *  *  *  *  * * * | 3 0  3  0  0  0 0 0 0  0 0 0 0 0 0 0 | 3 0  3 3 0 0 0 0 0 0 0 0 0 | 1 1 3 0 0 0
... ... ... ox.&#x | 1 2  0 | 0 2  0 1  0 0  0 | * 12  * *  * *  *  *  *  * * * | 1 2  0  0  1  0 0 0 0  0 0 0 0 0 0 0 | 2 1  0 1 0 2 0 0 0 0 0 0 0 | 1 0 2 1 0 0
ooo ooo3ooo3ooo&#x | 1 1  1 | 0 1  1 0  1 0  0 | *  * 24 *  * *  *  *  *  * * * | 0 0  1  2  1  0 0 0 0  0 0 0 0 0 0 0 | 0 0  2 1 1 2 0 0 0 0 0 0 0 | 0 1 2 1 0 0
x.x ... ... ...&#x | 2 0  2 | 1 0  2 0  0 1  0 | *  *  * 6  * *  *  *  *  * * * | 0 0  2  0  0  4 0 0 0  0 0 0 0 0 0 0 | 0 0  4 1 0 0 2 2 0 0 0 0 0 | 0 2 2 0 1 0
... ... o.x ...&#x | 1 0  2 | 0 0  2 0  0 0  1 | *  *  * * 24 *  *  *  *  * * * | 0 0  0  1  0  1 1 1 0  0 0 0 0 0 0 0 | 0 0  1 0 1 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0
... ... .o.3.x.    | 0 3  0 | 0 0  0 3  0 0  0 | *  *  * *  * 4  *  *  *  * * * | 0 2  0  0  0  0 0 0 1  0 0 0 2 0 0 0 | 1 2  0 0 0 2 0 0 0 0 1 2 0 | 1 0 1 2 0 1
.ox ... ... ...&#x | 0 1  2 | 0 0  0 0  2 1  0 | *  *  * *  * * 12  *  *  * * * | 0 0  1  0  0  0 0 0 0  2 1 0 0 0 0 0 | 0 0  2 1 0 0 0 0 0 1 2 0 0 | 0 1 2 0 0 1
... ... .ox ...&#x | 0 1  2 | 0 0  0 0  2 0  1 | *  *  * *  * *  * 24  *  * * * | 0 0  0  1  0  0 0 0 0  1 0 1 1 0 0 0 | 0 0  1 0 1 1 0 0 0 1 1 1 0 | 0 1 1 1 0 1
... ... ... .xo&#x | 0 2  1 | 0 0  0 1  2 0  0 | *  *  * *  * *  *  * 12  * * * | 0 0  0  0  1  0 0 0 0  0 1 0 2 0 0 0 | 0 0  0 1 0 2 0 0 0 0 2 1 0 | 0 0 2 1 0 1
..x ... ..x ...    | 0 0  4 | 0 0  0 0  0 2  2 | *  *  * *  * *  *  *  * 12 * * | 0 0  0  0  0  1 0 0 0  1 0 0 0 1 1 0 | 0 0  1 0 0 0 1 1 0 1 1 0 1 | 0 1 1 0 1 1
... ..o3..x ...    | 0 0  3 | 0 0  0 0  0 0  3 | *  *  * *  * *  *  *  *  * 8 * | 0 0  0  0  0  0 1 0 0  0 0 1 0 1 0 1 | 0 0  0 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 1 1
... ... ..x3..o    | 0 0  3 | 0 0  0 0  0 0  3 | *  *  * *  * *  *  *  *  * * 8 | 0 0  0  0  0  0 0 1 0  0 0 0 1 0 1 1 | 0 0  0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1
-------------------+--------+------------------+--------------------------------+--------------------------------------+----------------------------+------------
xo. ... ... ox.&#x ♦ 2 2  0 | 1 4  0 1  0 0  0 | 2  2  0 0  0 0  0  0  0  0 0 0 | 6 *  *  *  *  * * * *  * * * * * * * | 2 0  0 1 0 0 0 0 0 0 0 0 0 | 1 0 2 0 0 0
... ... oo.3ox.&#x ♦ 1 3  0 | 0 3  0 3  0 0  0 | 0  3  0 0  0 1  0  0  0  0 0 0 | * 8  *  *  *  * * * *  * * * * * * * | 1 1  0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
xox ... ... ...&#x ♦ 2 1  2 | 1 2  2 0  2 1  0 | 1  0  2 1  0 0  1  0  0  0 0 0 | * * 12  *  *  * * * *  * * * * * * * | 0 0  2 1 0 0 0 0 0 0 0 0 0 | 0 1 2 0 0 0
... ... oox ...&#x ♦ 1 1  2 | 0 1  2 0  2 0  1 | 0  0  2 0  1 0  0  1  0  0 0 0 | * *  * 24  *  * * * *  * * * * * * * | 0 0  1 0 1 1 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  2 0  0 0  0  0  1  0 0 0 | * *  *  * 12  * * * *  * * * * * * * | 0 0  0 1 0 2 0 0 0 0 0 0 0 | 0 0 2 1 0 0
x.x ... o.x ...&#x ♦ 2 0  4 | 1 0  4 0  0 2  2 | 0  0  0 2  2 0  0  0  0  1 0 0 | * *  *  *  * 12 * * *  * * * * * * * | 0 0  1 0 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
... o.o3o.x ...&#x ♦ 1 0  3 | 0 0  3 0  0 0  3 | 0  0  0 0  3 0  0  0  0  0 1 0 | * *  *  *  *  * 8 * *  * * * * * * * | 0 0  0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0
... ... o.x3o.o&#x ♦ 1 0  3 | 0 0  3 0  0 0  3 | 0  0  0 0  3 0  0  0  0  0 0 1 | * *  *  *  *  * * 8 *  * * * * * * * | 0 0  0 0 0 1 0 1 1 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  0 0 0 | * *  *  *  *  * * * 1  * * * * * * * | 0 2  0 0 0 0 0 0 0 0 0 2 0 | 1 0 0 2 0 1
.ox ... .ox ...&#x ♦ 0 1  4 | 0 0  0 0  4 2  2 | 0  0  0 0  0 0  2  2  0  1 0 0 | * *  *  *  *  * * * * 12 * * * * * * | 0 0  1 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.ox ... ... .xo&#x ♦ 0 2  2 | 0 0  0 1  4 1  0 | 0  0  0 0  0 0  2  0  2  0 0 0 | * *  *  *  *  * * * *  * 6 * * * * * | 0 0  0 1 0 0 0 0 0 0 2 0 0 | 0 0 2 0 0 1
... .oo3.ox ...&#x ♦ 0 1  3 | 0 0  0 0  3 0  3 | 0  0  0 0  0 0  0  3  0  0 1 0 | * *  *  *  *  * * * *  * * 8 * * * * | 0 0  0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
... ... .ox3.xo&#x ♦ 0 3  3 | 0 0  0 3  6 0  3 | 0  0  0 0  0 1  0  3  3  0 0 1 | * *  *  *  *  * * * *  * * * 8 * * * | 0 0  0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
..x ..o3..x ...    ♦ 0 0  6 | 0 0  0 0  0 3  6 | 0  0  0 0  0 0  0  0  0  3 2 0 | * *  *  *  *  * * * *  * * * * 4 * * | 0 0  0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
..x ... ..x3..o    ♦ 0 0  6 | 0 0  0 0  0 3  6 | 0  0  0 0  0 0  0  0  0  3 0 2 | * *  *  *  *  * * * *  * * * * * 4 * | 0 0  0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
... ..o3..x3..o    ♦ 0 0  6 | 0 0  0 0  0 0 12 | 0  0  0 0  0 0  0  0  0  0 4 4 | * *  *  *  *  * * * *  * * * * * * 2 | 0 0  0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
-------------------+--------+------------------+--------------------------------+--------------------------------------+----------------------------+------------
xo. ... oo.3ox.&#x ♦ 2 3  0 | 1 6  0 3  0 0  0 | 3  6  0 0  0 1  0  0  0  0 0 0 | 3 2  0  0  0  0 0 0 0  0 0 0 0 0 0 0 | 4 *  * * * * * * * * * * * | 1 0 1 0 0 0
... oo.3oo.3ox.&#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 1  0 0 0 0 0 0 0 | * 2  * * * * * * * * * * * | 1 0 0 1 0 0
xox ... oox ...&#x ♦ 2 1  4 | 1 2  4 0  4 2  2 | 1  0  4 2  2 0  2  2  0  1 0 0 | 0 0  2  2  0  1 0 0 0  1 0 0 0 0 0 0 | * * 12 * * * * * * * * * * | 0 1 1 0 0 0
xox ... ... oxo&#x ♦ 2 2  2 | 1 4  2 1  4 1  0 | 2  2  4 1  0 0  2  0  2  0 0 0 | 1 0  2  0  2  0 0 0 0  0 1 0 0 0 0 0 | * *  * 6 * * * * * * * * * | 0 0 2 0 0 0
... ooo3oox ...&#x ♦ 1 1  3 | 0 1  3 0  3 0  3 | 0  0  3 0  3 0  0  3  0  0 1 0 | 0 0  0  3  0  0 1 0 0  0 0 1 0 0 0 0 | * *  * * 8 * * * * * * * * | 0 1 0 1 0 0
... ... oox3oxo&#x ♦ 1 3  3 | 0 3  3 3  6 0  3 | 0  3  6 0  3 1  0  3  3  0 0 1 | 0 1  0  3  3  0 0 1 0  0 0 0 1 0 0 0 | * *  * * * 8 * * * * * * * | 0 0 1 1 0 0
x.x o.o3o.x ...&#x ♦ 2 0  6 | 1 0  6 0  0 3  6 | 0  0  0 3  6 0  0  0  0  3 2 0 | 0 0  0  0  0  3 2 0 0  0 0 0 0 1 0 0 | * *  * * * * 4 * * * * * * | 0 1 0 0 1 0
x.x ... o.x3o.o&#x ♦ 2 0  6 | 1 0  6 0  0 3  6 | 0  0  0 3  6 0  0  0  0  3 0 2 | 0 0  0  0  0  3 0 2 0  0 0 0 0 0 1 0 | * *  * * * * * 4 * * * * * | 0 0 1 0 1 0
... o.o3o.x3o.o&#x ♦ 1 0  6 | 0 0  6 0  0 0 12 | 0  0  0 0 12 0  0  0  0  0 4 4 | 0 0  0  0  0  0 4 4 0  0 0 0 0 0 0 1 | * *  * * * * * * 2 * * * * | 0 0 0 1 1 0
.ox .oo3.ox ...&#x ♦ 0 1  6 | 0 0  0 0  6 3  6 | 0  0  0 0  0 0  3  6  0  3 2 0 | 0 0  0  0  0  0 0 0 0  3 0 2 0 1 0 0 | * *  * * * * * * * 4 * * * | 0 1 0 0 0 1
.ox ... .ox3.xo&#x ♦ 0 3  6 | 0 0  0 3 12 3  6 | 0  0  0 0  0 1  6  6  6  3 0 2 | 0 0  0  0  0  0 0 0 0  3 3 0 2 0 1 0 | * *  * * * * * * * * 4 * * | 0 0 1 0 0 1
... .oo3.ox3.xo&#x ♦ 0 4  6 | 0 0  0 6 12 0 12 | 0  0  0 0  0 4  0 12  6  0 4 4 | 0 0  0  0  0  0 0 0 1  0 0 4 4 0 0 1 | * *  * * * * * * * * * 2 * | 0 0 0 1 0 1
..x ..o3..x3..o    ♦ 0 0 12 | 0 0  0 0  0 6 24 | 0  0  0 0  0 0  0  0  0 12 8 8 | 0 0  0  0  0  0 0 0 0  0 0 0 0 4 4 2 | * *  * * * * * * * * * * 1 | 0 0 0 0 1 1
-------------------+--------+------------------+--------------------------------+--------------------------------------+----------------------------+------------
xo. oo.3oo.3ox.&#x ♦ 2 4  0 | 1 8  0 6  0 0  0 | 4 12  0 0  0 4  0  0  0  0 0 0 | 6 8  0  0  0  0 0 0 1  0 0 0 0 0 0 0 | 4 2  0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xox ooo3oox ...&#x ♦ 2 1  6 | 1 2  6 0  6 3  6 | 1  0  6 3  6 0  3  6  0  3 2 0 | 0 0  3  6  0  3 2 0 0  3 0 2 0 1 0 0 | 0 0  3 0 2 0 1 0 0 1 0 0 0 | * 4 * * * *
xox ... oox3oxo&#x ♦ 2 3  6 | 1 6  6 3 12 3  6 | 3  6 12 3  6 1  6  6  6  3 0 2 | 3 2  6  6  6  3 0 2 0  3 3 0 2 0 1 0 | 1 0  3 3 0 2 0 1 0 0 1 0 0 | * * 4 * * *
... ooo3oox3oxo&#x ♦ 1 4  6 | 0 4  6 6 12 0 12 | 0  6 12 0 12 4  0 12  6  0 4 4 | 0 4  0 12  6  0 4 4 1  0 0 4 4 0 0 1 | 0 1  0 0 4 4 0 0 1 0 0 1 0 | * * * 2 * *
x.x o.o3o.x3o.o&#x ♦ 2 0 12 | 1 0 12 0  0 6 24 | 0  0  0 6 24 0  0  0  0 12 8 8 | 0 0  0  0  0 12 8 8 0  0 0 0 0 4 4 2 | 0 0  0 0 0 0 4 4 2 0 0 0 1 | * * * * 1 *
.ox .oo3.ox3.xo&#x ♦ 0 4 12 | 0 0  0 6 24 6 24 | 0  0  0 0  0 4 12 24 12 12 8 8 | 0 0  0  0  0  0 0 0 1 12 6 8 8 4 4 2 | 0 0  0 0 0 0 0 0 0 4 4 2 1 | * * * * * 1