Acronym arse biscrahi
Name bistratic icosidodecahedron-first subsegment of small rhombihexacosachoron,
around-symmetrically expanded biscrahi
 
 ©
Circumradius sqrt[19+8 sqrt(5)] = 6.073594
Lace city
in approx. ASCII-art
           x5x
              
              
              
           u5x
    o5f       
              
              
x5o        x5F
    x5f       
              
              
u5o           
              
           x5U
              		with:
x5f           		F=ff=f+x,
              		X=f+2x,
              		U=2f,
    x5F       		A=3f,
           u5F		B=2x+2f,
              		C=x+2f,
u5x           		D=x+3f
              
           X5x
   Xo5oX      
           x5X
              
x5u           
              
           F5u
    F5x       
              
              
f5x           
              
           U5x
              
o5u           
              
              
    f5x       
o5x        F5x
              
              
    f5o       
           x5u
              
              
              
           x5x
                       x3x       u3f   X3o x3U         C3o f3U   U3f o3C         U3x o3X   f3u       x3x                       
                                                                                                                               
          o3x       F3x       C3o   f3X       U3F   f3C                 C3f   F3U       X3f   o3C       x3F       x3o          
                                                                                                                               
                                                    C3U              D3F                                                       
x3x   F3x       U3u      AF3xX  x3B C3F         x3D #  F3D           #  U3C D3x         F3C B3x  xX3AF      u3U       x3F   x3x
Dihedral angles
  • at {4} between pip and tricu:   arccos(-sqrt[(5+2 sqrt(5))/10]) = 166.717474°
  • at {3} between tricu and tricu:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {5} between pero and pip:   162°
  • at {3} between pero and tricu:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {6} between ti and tricu:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244
  • at {5} between pero and ti:   144°
  • at {6} between grid and tricu:   arccos(sqrt(5/8)) = 37.761244°
  • at {10} between grid and pero:   36°
  • ...
Confer
uniform relative:
srix  
related segmentochora:
id || ti  
related CRFs:
id || ti || (x,f)-srid || grid  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

xxx3xox5ofx&#xt   → height(1,2) = (sqrt(5)-1)/4 = 0.309017
                    height(2,3) = 1/2
(ti || pseudo (x,f)-srid || grid)

o..3o..5o..     | 60  *   * |  1  2   2  0   0  0  0  0 |  2  2  2  2  1  0  0  0  0  0  0 | 1  2  1  1  0 0
.o.3.o.5.o.     |  * 60   * |  0  0   2  2   2  0  0  0 |  0  0  2  1  2  1  2  1  0  0  0 | 0  1  2  1  1 0
..o3..o5..o     |  *  * 120 |  0  0   0  0   1  1  1  1 |  0  0  0  0  1  0  1  1  1  1  1 | 0  0  1  1  1 1
----------------+-----------+---------------------------+----------------------------------+----------------
x.. ... ...     |  2  0   0 | 30  *   *  *   *  *  *  * |  2  0  2  0  0  0  0  0  0  0  0 | 1  2  1  0  0 0
... x.. ...     |  2  0   0 |  * 60   *  *   *  *  *  * |  1  1  0  1  0  0  0  0  0  0  0 | 1  1  0  1  0 0
oo.3oo.5oo.&#x  |  1  1   0 |  *  * 120  *   *  *  *  * |  0  0  1  1  1  0  0  0  0  0  0 | 0  1  1  1  0 0
.x. ... ...     |  0  2   0 |  *  *   * 60   *  *  *  * |  0  0  1  0  0  1  1  0  0  0  0 | 0  1  1  0  1 0
.oo3.oo5.oo&#x  |  0  1   1 |  *  *   *  * 120  *  *  * |  0  0  0  0  1  0  1  1  0  0  0 | 0  0  1  1  1 0
..x ... ...     |  0  0   2 |  *  *   *  *   * 60  *  * |  0  0  0  0  0  0  1  0  1  1  0 | 0  0  1  0  1 1
... ..x ...     |  0  0   2 |  *  *   *  *   *  * 60  * |  0  0  0  0  0  0  0  1  1  0  1 | 0  0  0  1  1 1
... ... ..x     |  0  0   2 |  *  *   *  *   *  *  * 60 |  0  0  0  0  1  0  0  0  0  1  1 | 0  0  1  1  0 1
----------------+-----------+---------------------------+----------------------------------+----------------
x..3x.. ...     |  6  0   0 |  3  3   0  0   0  0  0  0 | 20  *  *  *  *  *  *  *  *  *  * | 1  1  0  0  0 0
... x..5o..     |  5  0   0 |  0  5   0  0   0  0  0  0 |  * 12  *  *  *  *  *  *  *  *  * | 1  0  0  1  0 0
xx. ... ...&#x  |  2  2   0 |  1  0   2  1   0  0  0  0 |  *  * 60  *  *  *  *  *  *  *  * | 0  1  1  0  0 0
... xo. ...&#x  |  2  1   0 |  0  1   2  0   0  0  0  0 |  *  *  * 60  *  *  *  *  *  *  * | 0  1  0  1  0 0
... ... ofx&#xt |  1  2   2 |  0  0   2  0   2  0  0  1 |  *  *  *  * 60  *  *  *  *  *  * | 0  0  1  1  0 0
.x.3.o. ...     |  0  3   0 |  0  0   0  3   0  0  0  0 |  *  *  *  *  * 20  *  *  *  *  * | 0  1  0  0  1 0
.xx ... ...&#x  |  0  2   2 |  0  0   0  1   2  1  0  0 |  *  *  *  *  *  * 60  *  *  *  * | 0  0  1  0  1 0
... .ox ...&#x  |  0  1   2 |  0  0   0  0   2  0  1  0 |  *  *  *  *  *  *  * 60  *  *  * | 0  0  0  1  1 0
..x3..x ...     |  0  0   6 |  0  0   0  0   0  3  3  0 |  *  *  *  *  *  *  *  * 20  *  * | 0  0  0  0  1 1
..x ... ..x     |  0  0   4 |  0  0   0  0   0  2  0  2 |  *  *  *  *  *  *  *  *  * 30  * | 0  0  1  0  0 1
... ..x5..x     |  0  0  10 |  0  0   0  0   0  0  5  5 |  *  *  *  *  *  *  *  *  *  * 12 | 0  0  0  1  0 1
----------------+-----------+---------------------------+----------------------------------+----------------
x..3x..5o..      60  0   0 | 30 60   0  0   0  0  0  0 | 20 12  0  0  0  0  0  0  0  0  0 | 1  *  *  *  * *
xx.3xo. ...&#x    6  3   0 |  3  3   6  3   0  0  0  0 |  1  0  3  3  0  1  0  0  0  0  0 | * 20  *  *  * *
xxx ... ofx&#xt   2  4   4 |  1  0   4  2   4  2  0  2 |  0  0  2  0  2  0  2  0  0  1  0 | *  * 30  *  * *
... xox5ofx&#xt   5  5  10 |  0  5  10  0  10  0  5  5 |  0  1  0  5  5  0  0  5  0  0  1 | *  *  * 12  * *
.xx3.ox ...&#x    0  3   6 |  0  0   0  3   6  3  3  0 |  0  0  0  0  0  1  3  3  1  0  0 | *  *  *  * 20 *
..x3..x5..x       0  0 120 |  0  0   0  0   0 60 60 60 |  0  0  0  0  0  0  0  0 20 30 12 | *  *  *  *  * 1

© 2004-2018
top of page