Acronym triddippa tridafup
Name triddip atop tridafup,
((3,3)-dip, (3,dual 3)-dip, (dual 3,3)-dip)-trigonic
Circumradius sqrt(6/7) = 0.925820
Lace city
in approx. ASCII-art
     o3x x3o     		-- triddip
                 
                 
                 
                 
                 
                 
                 
                 
                 
x3o x3o   o3x o3x		-- tridafup
Face vector 27, 126, 225, 192, 81, 15
Confer
more general:
N,M-dip || N,M-dafup  
uniform relative:
bril  
general polytopal classes:
segmentopeta   lace simplices  

Incidence matrix according to Dynkin symbol

xox3oxo xxo3oox&#x   → height(1,2) = height(1,3) = sqrt(2/3) = 0.816497
                       height(2,3) = 1/sqrt(3) = 0.577350
(triddip || tridafup)

o..3o.. o..3o..      | 9  * |  4  4  0  0  0 | 2 4  4  2  8  4 0  0 0  0  0 | 4 2  8  4  4  8  4 0 0  0 0  0 0 | 1 4 4 2  4 4  4 1 0 0 0 | 2 4 2 0
.o.3.o. .o.3.o.    & | * 18 |  0  2  2  2  4 | 0 0  1  2  4  4 1  4 1  6  6 | 0 1  2  4  2  6  6 2 2  4 2  5 2 | 0 2 1 2  4 2  5 2 1 3 3 | 1 3 3 1
---------------------+------+----------------+------------------------------+----------------------------------+-------------------------+--------
x.. ... ... ...    & | 2  0 | 18  *  *  *  * | 1 2  1  0  2  0 0  0 0  0  0 | 3 1  4  1  2  2  0 0 0  0 0  0 0 | 1 3 3 1  3 2  1 0 0 0 0 | 2 3 1 0
oo.3oo. oo.3oo.&#x & | 1  1 |  * 36  *  *  * | 0 0  1  1  2  2 0  0 0  0  0 | 0 1  2  2  1  4  3 0 0  0 0  0 0 | 0 2 1 1  3 2  3 1 0 0 0 | 1 3 2 0
... .x. ... ...    & | 0  2 |  *  * 18  *  * | 0 0  0  1  0  0 1  2 0  0  2 | 0 1  0  2  0  0  2 2 1  2 0  2 1 | 0 2 0 1  2 0  2 1 1 2 2 | 1 2 2 1
... ... .x. ...    & | 0  2 |  *  *  * 18  * | 0 0  0  0  2  0 0  2 1  2  0 | 0 0  1  2  2  2  0 1 2  2 1  2 0 | 0 1 1 2  2 1  2 0 1 2 2 | 1 2 2 1
.oo3.oo .oo3.oo&#x   | 0  2 |  *  *  *  * 36 | 0 0  0  0  0  1 0  0 0  2  2 | 0 0  0  0  0  2  2 0 0  2 1  2 1 | 0 0 0 0  2 1  2 1 0 2 2 | 0 2 2 1
---------------------+------+----------------+------------------------------+----------------------------------+-------------------------+--------
x..3o.. ... ...    & | 3  0 |  3  0  0  0  0 | 6 *  *  *  *  * *  * *  *  * | 2 1  0  0  2  0  0 0 0  0 0  0 0 | 1 2 2 1  2 0  0 0 0 0 0 | 2 2 1 0
x.. ... x.. ...      | 4  0 |  4  0  0  0  0 | * 9  *  *  *  * *  * *  *  * | 2 0  2  0  0  0  0 0 0  0 0  0 0 | 1 2 2 0  0 1  0 0 0 0 0 | 2 2 0 0
xo. ... ... ...&#x & | 2  1 |  1  2  0  0  0 | * * 18  *  *  * *  * *  *  * | 0 1  2  0  0  2  0 0 0  0 0  0 0 | 0 2 1 0  2 2  1 0 0 0 0 | 1 3 1 0
... ox. ... ...&#x & | 1  2 |  0  2  1  0  0 | * *  * 18  *  * *  * *  *  * | 0 1  0  2  0  0  2 0 0  0 0  0 0 | 0 2 0 1  2 0  2 1 0 0 0 | 1 2 2 0
... ... xx. ...&#x & | 2  2 |  1  2  0  1  0 | * *  *  * 36  * *  * *  *  * | 0 0  1  1  1  1  0 0 0  0 0  0 0 | 0 1 1 1  1 1  1 0 0 0 0 | 1 2 1 0
ooo3ooo ooo3ooo&#x   | 1  2 |  0  2  0  0  1 | * *  *  *  * 36 *  * *  *  * | 0 0  0  0  0  2  2 0 0  0 0  0 0 | 0 0 0 0  2 1  2 1 0 0 0 | 0 2 2 0
.o.3.x. ... ...    & | 0  3 |  0  0  3  0  0 | * *  *  *  *  * 6  * *  *  * | 0 1  0  0  0  0  0 2 0  2 0  0 0 | 0 2 0 0  2 0  0 0 1 2 1 | 1 2 1 1
... .x. .x. ...    & | 0  4 |  0  0  2  2  0 | * *  *  *  *  * * 18 *  *  * | 0 0  0  1  0  0  0 1 1  0 0  1 0 | 0 1 0 1  0 0  1 0 1 1 1 | 1 1 1 1
... ... .x.3.o.    & | 0  3 |  0  0  0  3  0 | * *  *  *  *  * *  * 6  *  * | 0 0  0  0  2  0  0 0 2  2 0  0 0 | 0 0 1 2  2 0  0 0 1 1 2 | 1 1 2 1
.ox ... ... ...&#x & | 0  3 |  0  0  0  1  2 | * *  *  *  *  * *  * * 36  * | 0 0  0  0  0  1  0 0 0  1 1  1 0 | 0 0 0 0  1 1  1 0 0 2 1 | 0 2 1 1
... .xo ... ...&#x & | 0  3 |  0  0  1  0  2 | * *  *  *  *  * *  * *  * 36 | 0 0  0  0  0  0  1 0 0  1 0  1 1 | 0 0 0 0  1 0  1 1 0 1 2 | 0 1 2 1
---------------------+------+----------------+------------------------------+----------------------------------+-------------------------+--------
x..3o.. x.. ...    &  6  0 |  9  0  0  0  0 | 2 3  0  0  0  0 0  0 0  0  0 | 6 *  *  *  *  *  * * *  * *  * * | 1 1 1 0  0 0  0 0 0 0 0 | 2 1 0 0
xo.3ox. ... ...&#x &  3  3 |  3  6  3  0  0 | 1 0  3  3  0  0 1  0 0  0  0 | * 6  *  *  *  *  * * *  * *  * * | 0 2 0 0  2 0  0 0 0 0 0 | 1 2 1 0
xo. ... xx. ...&#x &  4  2 |  4  4  0  1  0 | 0 1  2  0  2  0 0  0 0  0  0 | * * 18  *  *  *  * * *  * *  * * | 0 1 1 0  0 1  0 0 0 0 0 | 1 2 0 0
... ox. xx. ...&#x &  2  4 |  1  4  2  2  0 | 0 0  0  2  2  0 0  1 0  0  0 | * *  * 18  *  *  * * *  * *  * * | 0 1 0 1  0 0  1 0 0 0 0 | 1 1 1 0
... ... xx.3oo.&#x &  3  3 |  3  3  0  3  0 | 1 0  0  0  3  0 0  0 1  0  0 | * *  *  * 12  *  * * *  * *  * * | 0 0 1 1  1 0  0 0 0 0 0 | 1 1 1 0
xox ... ... ...&#x &  2  3 |  1  4  0  1  2 | 0 0  1  0  1  2 0  0 0  1  0 | * *  *  *  * 36  * * *  * *  * * | 0 0 0 0  1 1  1 0 0 0 0 | 0 2 1 0
... oxo ... ...&#x &  1  3 |  0  3  1  0  2 | 0 0  0  1  0  2 0  0 0  0  1 | * *  *  *  *  * 36 * *  * *  * * | 0 0 0 0  1 0  1 1 0 0 0 | 0 1 2 0
.o.3.x. .x. ...    &  0  6 |  0  0  6  3  0 | 0 0  0  0  0  0 2  3 0  0  0 | * *  *  *  *  *  * 6 *  * *  * * | 0 1 0 0  0 0  0 0 1 1 0 | 1 1 0 1
... .x. .x.3.o.    &  0  6 |  0  0  3  6  0 | 0 0  0  0  0  0 0  3 2  0  0 | * *  *  *  *  *  * * 6  * *  * * | 0 0 0 1  0 0  0 0 1 0 1 | 1 0 1 1
.ox3.xo ... ...&#x &  0  6 |  0  0  3  3  6 | 0 0  0  0  0  0 1  0 1  3  3 | * *  *  *  *  *  * * * 12 *  * * | 0 0 0 0  1 0  0 0 0 1 1 | 0 1 1 1
.ox ... .xo ...&#x    0  4 |  0  0  0  2  4 | 0 0  0  0  0  0 0  0 0  4  0 | * *  *  *  *  *  * * *  * 9  * * | 0 0 0 0  0 1  0 0 0 2 0 | 0 2 0 1
.ox ... ... .ox&#x &  0  5 |  0  0  2  2  4 | 0 0  0  0  0  0 0  1 0  2  2 | * *  *  *  *  *  * * *  * * 18 * | 0 0 0 0  0 0  1 0 0 1 1 | 0 1 1 1
... .xo ... .ox&#x    0  4 |  0  0  2  0  4 | 0 0  0  0  0  0 0  0 0  0  4 | * *  *  *  *  *  * * *  * *  * 9 | 0 0 0 0  0 0  0 1 0 0 2 | 0 0 2 1
---------------------+------+----------------+------------------------------+----------------------------------+-------------------------+--------
x..3o.. x..3o..       9  0 | 18  0  0  0  0 | 6 9  0  0  0  0 0  0 0  0  0 | 6 0  0  0  0  0  0 0 0  0 0  0 0 | 1 * * *  * *  * * * * * | 2 0 0 0
xo.3ox. xx. ...&#x &  6  6 |  9 12  6  3  0 | 2 3  6  6  6  0 2  3 0  0  0 | 1 2  3  3  0  0  0 1 0  0 0  0 0 | * 6 * *  * *  * * * * * | 1 1 0 0
xo. ... xx.3oo.&#x &  6  3 |  9  6  0  3  0 | 2 3  3  0  6  0 0  0 1  0  0 | 1 0  3  0  2  0  0 0 0  0 0  0 0 | * * 6 *  * *  * * * * * | 1 1 0 0
... ox. xx.3oo.&#x &  3  6 |  3  6  3  6  0 | 1 0  0  3  6  0 0  3 2  0  0 | 0 0  0  3  2  0  0 0 1  0 0  0 0 | * * * 6  * *  * * * * * | 1 0 1 0
xox3oxo ... ...&#x &  3  6 |  3  9  3  3  6 | 1 0  3  3  3  6 1  0 1  3  3 | 0 1  0  0  1  3  3 0 0  1 0  0 0 | * * * * 12 *  * * * * * | 0 1 1 0
xox ... xxo ...&#x    4  4 |  4  8  0  2  4 | 0 1  4  0  4  4 0  0 0  4  0 | 0 0  2  0  0  4  0 0 0  0 1  0 0 | * * * *  * 9  * * * * * | 0 2 0 0
xox ... ... oox&#x &  2  5 |  1  6  2  2  4 | 0 0  1  2  2  4 0  1 0  2  2 | 0 0  0  1  0  2  2 0 0  0 0  1 0 | * * * *  * * 18 * * * * | 0 1 1 0
... oxo ... oox&#x    1  4 |  0  4  2  0  4 | 0 0  0  2  0  4 0  0 0  0  4 | 0 0  0  0  0  0  4 0 0  0 0  0 1 | * * * *  * *  * 9 * * * | 0 0 2 0
.o.3.x. .x.3.o.    &  0  9 |  0  0  9  9  0 | 0 0  0  0  0  0 3  9 3  0  0 | 0 0  0  0  0  0  0 3 3  0 0  0 0 | * * * *  * *  * * 2 * * | 1 0 0 1
.ox3.xo .xo ...&#x &  0  9 |  0  0  6  6 12 | 0 0  0  0  0  0 2  3 1 12  6 | 0 0  0  0  0  0  0 1 0  2 3  3 0 | * * * *  * *  * * * 6 * | 0 1 0 1
.ox3.xo ... .ox&#x &  0  9 |  0  0  6  6 12 | 0 0  0  0  0  0 1  3 2  6 12 | 0 0  0  0  0  0  0 0 1  2 0  3 3 | * * * *  * *  * * * * 6 | 0 0 1 1
---------------------+------+----------------+------------------------------+----------------------------------+-------------------------+--------
xo.3ox. xx.3oo.&#x &  9  9 | 18 18  9  9  0 | 6 9  9  9 18  0 3  9 3  0  0 | 6 3  9  9  6  0  0 3 3  0 0  0 0 | 1 3 3 3  0 0  0 0 1 0 0 | 2 * * *
xox3oxo xxo ...&#x &  6  9 |  9 18  6  6 12 | 2 3  9  6 12 12 2  3 1 12  6 | 1 2  6  3  2 12  6 1 0  2 3  3 0 | 0 1 1 0  2 3  3 0 0 1 0 | * 6 * *
xox3oxo ... oox&#x &  3  9 |  3 12  6  6 12 | 1 0  3  6  6 12 1  3 2  6 12 | 0 1  0  3  2  6 12 0 1  2 0  3 3 | 0 0 0 1  2 0  3 3 0 0 1 | * * 6 *
.ox3.xo .xo3.ox&#x    0 18 |  0  0 18 18 36 | 0 0  0  0  0  0 6 18 6 36 36 | 0 0  0  0  0  0  0 6 6 12 9 18 9 | 0 0 0 0  0 0  0 0 2 6 6 | * * * 1

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