Acronym tacpy
Name triacontaditeric pyramid,
vertex-first rotunda of gee
Circumradius 1/sqrt(2) = 0.707107
Lace city
in approx. ASCII-art
    o    		where:
         		o = o3o3o4o (point)
o   H   o		H = x3o3o4o (hex)
  o  		o = o3o3o3o (point)
     		p = x3o3o3o (pen)
p   P		P = o3o3o3x (dual pen)
Coordinates
  1. (0, 0, 0, 0, 0, 1/sqrt(2))
    tip
  2. (1/sqrt(2), 0, 0, 0, 0, 0)   & permutations and changes of sign in all but last coordinate
    hexadecachoron base
Dihedral angles
  • at pen between hix and hix:   arccos(-2/3) = 131.810315°
  • at pen between hix and tac:   arccos[1/sqrt(6)] = 65.905157°
Confer
uniform relative:
gee  
related segmentopeta:
hexasc   octete   squepe  
general polytopal classes:
segmentopeta   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

ox3oo3oo3oo4oo&#x   → height = 1/sqrt(2) = 0.707107
(pt || tac)

o.3o.3o.3o.4o.    | 1  *  10  0 | 40  0 | 80  0 | 80  0 | 32 0
.o3.o3.o3.o4.o    | * 10   1  8 |  8 24 | 24 32 | 32 16 | 16 1
------------------+------+-------+-------+-------+-------+-----
oo3oo3oo3oo4oo&#x | 1  1 | 10  *   8  0 | 24  0 | 32  0 | 16 0
.x .. .. .. ..    | 0  2 |  * 40   1  6 |  6 12 | 12  8 |  8 1
------------------+------+-------+-------+-------+-------+-----
ox .. .. .. ..&#x | 1  2 |  2  1 | 40  *   6  0 | 12  0 |  8 0
.x3.o .. .. ..    | 0  3 |  0  3 |  * 80   1  4 |  4  4 |  4 1
------------------+------+-------+-------+-------+-------+-----
ox3oo .. .. ..&#x  1  3 |  3  3 |  3  1 | 80  * |  4  0 |  4 0
.x3.o3.o .. ..     0  4 |  0  6 |  0  4 |  * 80 |  1  2 |  2 1
------------------+------+-------+-------+-------+-------+-----
ox3oo3oo .. ..&#x  1  4 |  4  6 |  6  4 |  4  1 | 80  * |  2 0
.x3.o3.o3.o ..     0  5 |  0 10 |  0 10 |  0  5 |  * 32 |  1 1
------------------+------+-------+-------+-------+-------+-----
ox3oo3oo3oo ..&#x  1  5 |  5 10 | 10 10 | 10  5 |  5  1 | 32 *
.x3.o3.o3.o4.o     0 10 |  0 40 |  0 80 |  0 80 |  0 32 |  * 1

oo3oo3oo *b3oo3ox&#x   → height = 1/sqrt(2) = 0.707107
(pt || tac)

o.3o.3o. *b3o.3o.    | 1  *  10  0 | 40  0 | 80  0 | 80  0  0 | 16 16 0
.o3.o3.o *b3.o3.o    | * 10   1  8 |  8 24 | 24 32 | 32  8  8 |  8  8 1
---------------------+------+-------+-------+-------+----------+--------
oo3oo3oo *b3oo3oo&#x | 1  1 | 10  *   8  0 | 24  0 | 32  0  0 |  8  8 0
.. .. ..    .. .x    | 0  2 |  * 40   1  6 |  6 12 | 12  4  4 |  4  4 1
---------------------+------+-------+-------+-------+----------+--------
.. .. ..    .. ox&#x | 1  2 |  2  1 | 40  *   6  0 | 12  0  0 |  4  4 0
.. .. ..    .o3.x    | 0  3 |  0  3 |  * 80   1  4 |  4  2  2 |  2  2 1
---------------------+------+-------+-------+-------+----------+--------
.. .. ..    oo3ox&#x  1  3 |  3  3 |  3  1 | 80  * |  4  0  0 |  2  2 0
.. .o .. *b3.o3.x     0  4 |  0  6 |  0  4 |  * 80 |  1  1  1 |  1  1 1
---------------------+------+-------+-------+-------+----------+--------
.. oo .. *b3oo3ox&#x  1  4 |  4  6 |  6  4 |  4  1 | 80  *  * |  1  1 0
.o3.o .. *b3.o3.x     0  5 |  0 10 |  0 10 |  0  5 |  * 16  * |  1  0 1
.. .o3.o *b3.o3.x     0  5 |  0 10 |  0 10 |  0  5 |  *  * 16 |  0  1 1
---------------------+------+-------+-------+-------+----------+--------
oo3oo .. *b3oo3ox&#x  1  5 |  5 10 | 10 10 | 10  5 |  5  1  0 | 16  * *
.. oo3oo *b3oo3ox&#x  1  5 |  5 10 | 10 10 | 10  5 |  5  0  1 |  * 16 *
.o3.o3.o *b3.o3.x     0 10 |  0 40 |  0 80 |  0 80 |  0 16 16 |  *  * 1

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