Acronym tiscsrix
Name tristratic icosidodecahedron-first cap of small rhombihexacosachoron
 
 ©
Circumradius sqrt[19+8 sqrt(5)] = 6.073594
Lace city
in approx. ASCII-art
               x5x
                  
                  
                  
               u5x
        o5f       
                  
                  
    x5o        x5F
        x5f       
                  
                  
    u5o           
                  
               x5U
x5o               		with:
    x5f           		F=ff=f+x,
                  		X=f+2x,
                  		U=2f,
o5f     x5F       		A=3f,
               u5F		B=2x+2f,
                  		C=x+2f,
    u5x           		D=x+3f
                  
               X5x
x5x    Xo5oX      
               x5X
                  
    x5u           
                  
               F5u
f5o     F5x       
                  
                  
    f5x           
o5x               
               U5x
                  
    o5u           
                  
                  
        f5x       
    o5x        F5x
                  
                  
        f5o       
               x5u
                  
                  
                  
               x5x
                                    x3o       f3x   o3F       f3f       F3o   x3f       o3x                                    
                                                                                                                               
                       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 co and pip:   arccos(-sqrt[(5+2 sqrt(5))/10]) = 166.717474°
  • at {4} between pip and tricu:   arccos(-sqrt[(5+2 sqrt(5))/10]) = 166.717474°
  • at {3} between co and co:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {3} between co and tricu:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {5} between id and pip:   162°
  • at {5} between pero and pip:   162°
  • at {3} between co and id:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {3} between co and pero:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {3} between pero and tricu: arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • 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:
ti || (x,f)-srid || grid  

Incidence matrix according to Dynkin symbol

oxxx3xxox5oofx&#xt   → height(1,2) = height(2,3) = (sqrt(5)-1)/4 = 0.309017
                       height(3,4) = 1/2
(id || pseudo ti || pseudo (x,f)-srid || grid)

o...3o...5o...     | 30  *  *   * |  4  2  0  0   0  0   0  0  0  0 |  2  2  1  4  0  0  0  0  0  0  0  0  0  0 | 1  2  2  0  0  0 0
.o..3.o..5.o..     |  * 60  *   * |  0  1  1  2   2  0   0  0  0  0 |  0  0  1  2  1  2  2  1  0  0  0  0  0  0 | 0  2  1  1  1  0 0
..o.3..o.5..o.     |  *  * 60   * |  0  0  0  0   2  2   2  0  0  0 |  0  0  0  0  0  2  1  2  1  2  1  0  0  0 | 0  1  0  2  1  1 0
...o3...o5...o     |  *  *  * 120 |  0  0  0  0   0  0   1  1  1  1 |  0  0  0  0  0  0  0  1  0  1  1  1  1  1 | 0  0  0  1  1  1 1
-------------------+--------------+---------------------------------+-------------------------------------------+-------------------
.... x... ....     |  2  0  0   0 | 60  *  *  *   *  *   *  *  *  * |  1  1  0  1  0  0  0  0  0  0  0  0  0  0 | 1  1  1  0  0  0 0
oo..3oo..5oo..&#x  |  1  1  0   0 |  * 60  *  *   *  *   *  *  *  * |  0  0  1  2  0  0  0  0  0  0  0  0  0  0 | 0  2  1  0  0  0 0
.x.. .... ....     |  0  2  0   0 |  *  * 30  *   *  *   *  *  *  * |  0  0  1  0  0  2  0  0  0  0  0  0  0  0 | 0  2  0  1  0  0 0
.... .x.. ....     |  0  2  0   0 |  *  *  * 60   *  *   *  *  *  * |  0  0  0  1  1  0  1  0  0  0  0  0  0  0 | 0  1  1  0  1  0 0
.oo.3.oo.5.oo.&#x  |  0  1  1   0 |  *  *  *  * 120  *   *  *  *  * |  0  0  0  0  0  1  1  1  0  0  0  0  0  0 | 0  1  0  1  1  0 0
..x. .... ....     |  0  0  2   0 |  *  *  *  *   * 60   *  *  *  * |  0  0  0  0  0  1  0  0  1  1  0  0  0  0 | 0  1  0  1  0  1 0
..oo3..oo5..oo&#x  |  0  0  1   1 |  *  *  *  *   *  * 120  *  *  * |  0  0  0  0  0  0  0  1  0  1  1  0  0  0 | 0  0  0  1  1  1 0
...x .... ....     |  0  0  0   2 |  *  *  *  *   *  *   * 60  *  * |  0  0  0  0  0  0  0  0  0  1  0  1  1  0 | 0  0  0  1  0  1 1
.... ...x ....     |  0  0  0   2 |  *  *  *  *   *  *   *  * 60  * |  0  0  0  0  0  0  0  0  0  0  1  1  0  1 | 0  0  0  0  1  1 1
.... .... ...x     |  0  0  0   2 |  *  *  *  *   *  *   *  *  * 60 |  0  0  0  0  0  0  0  1  0  0  0  0  1  1 | 0  0  0  1  1  0 1
-------------------+--------------+---------------------------------+-------------------------------------------+-------------------
o...3x... ....     |  3  0  0   0 |  3  0  0  0   0  0   0  0  0  0 | 20  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  1  0  0  0  0 0
.... x...5o...     |  5  0  0   0 |  5  0  0  0   0  0   0  0  0  0 |  * 12  *  *  *  *  *  *  *  *  *  *  *  * | 1  0  1  0  0  0 0
ox.. .... ....&#x  |  1  2  0   0 |  0  2  1  0   0  0   0  0  0  0 |  *  * 30  *  *  *  *  *  *  *  *  *  *  * | 0  2  0  0  0  0 0
.... xx.. ....&#x  |  2  2  0   0 |  1  2  0  1   0  0   0  0  0  0 |  *  *  * 60  *  *  *  *  *  *  *  *  *  * | 0  1  1  0  0  0 0
.... .x..5.o..     |  0  5  0   0 |  0  0  0  5   0  0   0  0  0  0 |  *  *  *  * 12  *  *  *  *  *  *  *  *  * | 0  0  1  0  1  0 0
.xx. .... ....&#x  |  0  2  2   0 |  0  0  1  0   2  1   0  0  0  0 |  *  *  *  *  * 60  *  *  *  *  *  *  *  * | 0  1  0  1  0  0 0
.... .xo. ....&#x  |  0  2  1   0 |  0  0  0  1   2  0   0  0  0  0 |  *  *  *  *  *  * 60  *  *  *  *  *  *  * | 0  1  0  0  1  0 0
.... .... .ofx&#xt |  0  1  2   2 |  0  0  0  0   2  0   2  0  0  1 |  *  *  *  *  *  *  * 60  *  *  *  *  *  * | 0  0  0  1  1  0 0
..x.3..o. ....     |  0  0  3   0 |  0  0  0  0   0  3   0  0  0  0 |  *  *  *  *  *  *  *  * 20  *  *  *  *  * | 0  1  0  0  0  1 0
..xx .... ....&#x  |  0  0  2   2 |  0  0  0  0   0  1   2  1  0  0 |  *  *  *  *  *  *  *  *  * 60  *  *  *  * | 0  0  0  1  0  1 0
.... ..ox ....&#x  |  0  0  1   2 |  0  0  0  0   0  0   2  0  1  0 |  *  *  *  *  *  *  *  *  *  * 60  *  *  * | 0  0  0  0  1  1 0
...x3...x ....     |  0  0  0   6 |  0  0  0  0   0  0   0  3  3  0 |  *  *  *  *  *  *  *  *  *  *  * 20  *  * | 0  0  0  0  0  1 1
...x .... ...x     |  0  0  0   4 |  0  0  0  0   0  0   0  2  0  2 |  *  *  *  *  *  *  *  *  *  *  *  * 30  * | 0  0  0  1  0  0 1
.... ...x5...x     |  0  0  0  10 |  0  0  0  0   0  0   0  0  5  5 |  *  *  *  *  *  *  *  *  *  *  *  *  * 12 | 0  0  0  0  1  0 1
-------------------+--------------+---------------------------------+-------------------------------------------+-------------------
o...3x...5o...      30  0  0   0 | 60  0  0  0   0  0   0  0  0  0 | 20 12  0  0  0  0  0  0  0  0  0  0  0  0 | 1  *  *  *  *  * *
oxx.3xxo. ....&#xt   3  6  3   0 |  3  6  3  3   6  3   0  0  0  0 |  1  0  3  3  0  3  3  0  1  0  0  0  0  0 | * 20  *  *  *  * *
.... xx..5oo..&#x    5  5  0   0 |  5  5  0  5   0  0   0  0  0  0 |  0  1  0  5  1  0  0  0  0  0  0  0  0  0 | *  * 12  *  *  * *
.xxx .... .ofx&#xt   0  2  4   4 |  0  0  1  0   4  2   4  2  0  2 |  0  0  0  0  0  2  0  2  0  2  0  0  1  0 | *  *  * 30  *  * *
.... .xox5.ofx&#xt   0  5  5  10 |  0  0  0  5  10  0  10  0  5  5 |  0  0  0  0  1  0  5  5  0  0  5  0  0  1 | *  *  *  * 12  * *
..xx3..ox ....&#x    0  0  3   6 |  0  0  0  0   0  3   6  3  3  0 |  0  0  0  0  0  0  0  0  1  3  3  1  0  0 | *  *  *  *  * 20 *
...x3...x5...x       0  0  0 120 |  0  0  0  0   0  0   0 60 60 60 |  0  0  0  0  0  0  0  0  0  0  0 20 30 12 | *  *  *  *  *  * 1

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