Acronym laqpe
Name pentacontihexapentacosiheptacontihexaexon prism
Circumradius sqrt(5)/2 = 1.118034
Lace city
in approx. ASCII-art
         o         	--- x o3o3o *c3o3o3o (line)
                   	
o     +     -     o	--- x x3o3o *c3o3o3o (haxip)
                   	
   -     #     +   	--- x o3o3o *c3o3x3o (ragip)
                   	
o     +     -     o	--- x x3o3o *c3o3o3o (haxip)
                   	
         o         	--- x o3o3o *c3o3o3o (line)
                   
where:
o = x o3o3o3o3o (line)
+ = x o3x3o3o3o (rixip)
- = x o3o3o3x3o (inv. rixip)
# = x x3o3o3o3x (scadip)
               _+-------------- x x3o3o3o3o *d3o (jakip)
              /      _+-------- x o3o3o3o3o *d3x (mope)
            _/      /      _+-- x o3o3o3o3x *d3o (alt. jakip)
           /      _/      /
                 
        o        		--- x o3o3o *c3o3o3o (line)
                 
                 
    h       H    		--- x x3o3o *c3o3o3o (haxip)
                 
                 
t       r       t		--- x o3o3o *c3o3x3o (ragip)
                 
                 
    h       H    		--- x x3o3o *c3o3o3o (haxip)
                 
                 
        o        		--- x o3o3o *c3o3o3o (line)
                 
where:
o = x o3o3o *c3o3o (line)
h = x x3o3o *c3o3o (hinnip)
H = x o3o3x *c3o3o (alt. hinnip)
t = x o3o3o *c3o3x (taccup)
r = x o3o3o *c3x3o (ratip)
             _+------ x x3o3o3o3o3o (hopip)
           _/ _+----- x o3o3o3x3o3o (inv. brillip)
         _/ _/ _+---- x x3o3o3o3o3x (stafip)
       _/ _/ _/ _+--- x o3o3x3o3o3o (brillip)
     _/ _/ _/ _/ _+-- x o3o3o3o3o3x (inv. hopip)
             
   h  R  h   		--- x x3o3o3o3o *d3o (jakip)
             
o  d  s  d  o		--- x o3o3o3o3o *d3x (mope)
             
   H  r  H   		--- x o3o3o3o3x *d3o (alt. jakip)
             
|  |  |  |  +-- x o3o3o *c3o3o3o (line)
|  |  |  +----- x x3o3o *c3o3o3o (haxip)
|  |  +-------- x o3o3o *c3o3x3o (ragip)
|  +----------- x x3o3o *c3o3o3o (haxip)
+-------------- x o3o3o *c3o3o3o (line)
where:
o = x o3o3o3o3o (line)
h = x x3o3o3o3o (hixip)
H = x o3o3o3o3x (inv. hixip)
r = x o3x3o3o3o (rixip)
R = x o3o3o3x3o (alt. rixip)
d = x o3o3x3o3o (dotip)
s = x x3o3o3o3x (scadip)

Note: 
o, h, H, s together comprise x3o3o3o3o3o3x (suphip)
r, R, d, D together comprise o3o3o3x3o3o3o (hepe)
Volume 37/70 = 0.528571
Dihedral angles
Confer
general polytopal classes:
segmentozetta  

Incidence matrix according to Dynkin symbol

x x3o3o3o *d3o3o3o

. . . . .    . . . | 252 |   1   32 |   32   240 |   240   640 |   640  160   480 |  160   480   60  192 |  60  192  12   32 | 12  32 1
-------------------+-----+----------+------------+-------------+------------------+----------------------+-------------------+---------
x . . . .    . . . |   2 | 126    *    32     0 |   240     0 |   640    0     0 |  160   480    0    0 |  60  192   0    0 | 12  32 0
. x . . .    . . . |   2 |   * 4032 |    1    15 |    15    60 |    60   20    60 |   20    60   15   30 |  15   30   6    6 |  6   6 1
-------------------+-----+----------+------------+-------------+------------------+----------------------+-------------------+---------
x x . . .    . . . |   4 |   2    2 | 2016     *     15     0 |    60    0     0 |   20    60    0    0 |  15   30   0    0 |  6   6 0
. x3o . .    . . . |   3 |   0    3 |    * 20160 |     1     8 |     8    4    12 |    4    12    6    8 |   6    8   4    2 |  4   2 1
-------------------+-----+----------+------------+-------------+------------------+----------------------+-------------------+---------
x x3o . .    . . .    6 |   3    6 |    3     2 | 10080     *      8    0     0 |    4    12    0    0 |   6    8   0    0 |  4   2 0
. x3o3o .    . . .    4 |   0    6 |    0     4 |     * 40320 |     1    1     3 |    1     3    3    3 |   3    3   3    1 |  3   1 1
-------------------+-----+----------+------------+-------------+------------------+----------------------+-------------------+---------
x x3o3o .    . . .    8 |   4   12 |    6     8 |     4     2 | 20160    *     * |    1     3    0    0 |   3    3   0    0 |  3   1 0
. x3o3o3o    . . .    5 |   0   10 |    0    10 |     0     5 |     * 8064     * |    1     0    3    0 |   3    0   3    0 |  3   0 1
. x3o3o . *d3o . .    5 |   0   10 |    0    10 |     0     5 |     *    * 24192 |    0     1    1    2 |   1    2   2    1 |  2   1 1
-------------------+-----+----------+------------+-------------+------------------+----------------------+-------------------+---------
x x3o3o3o    . . .   10 |   5   20 |   10    20 |    10    10 |     5    2     0 | 4032     *    *    * |   3    0   0    0 |  3   0 0
x x3o3o . *d3o . .   10 |   5   20 |   10    20 |    10    10 |     5    0     2 |    * 12096    *    * |   1    2   0    0 |  2   1 0
. x3o3o3o *d3o . .   10 |   0   40 |    0    80 |     0    80 |     0   16    16 |    *     * 1512    * |   1    0   2    0 |  2   0 1
. x3o3o . *d3o3o .    6 |   0   15 |    0    20 |     0    15 |     0    0     6 |    *     *    * 8064 |   0    1   1    1 |  1   1 1
-------------------+-----+----------+------------+-------------+------------------+----------------------+-------------------+---------
x x3o3o3o *d3o . .   20 |  10   80 |   40   160 |    80   160 |    80   32    32 |   16    16    2    0 | 756    *   *    * |  2   0 0
x x3o3o . *d3o3o .   12 |   6   30 |   15    40 |    20    30 |    15    0    12 |    0     6    0    2 |   * 4032   *    * |  1   1 0
. x3o3o3o *d3o3o .   27 |   0  216 |    0   720 |     0  1080 |     0  216   432 |    0     0   27   72 |   *    * 112    * |  1   0 1
. x3o3o . *d3o3o3o    7 |   0   21 |    0    35 |     0    35 |     0    0    21 |    0     0    0    7 |   *    *   * 1152 |  0   1 1
-------------------+-----+----------+------------+-------------+------------------+----------------------+-------------------+---------
x x3o3o3o *d3o3o .   54 |  24  432 |  216  1440 |   720  2160 |  1080  432   864 |  216   432   54  144 |  27   72   2    0 | 56   * *
x x3o3o . *d3o3o3o   14 |   7   42 |   21    70 |    35    70 |    35    0    42 |    0    21    0   14 |   0    7   0    2 |  * 576 *
. x3o3o3o *d3o3o3o  126 |   0 2016 |    0 10080 |     0 20160 |     0 4032 12096 |    0     0  756 4032 |   0    0  56  576 |  *   * 2

xx3oo3oo3oo *c3oo3oo3oo&#x   → height = 1
(laq || laq)

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