Acronym ...
Name pecupe-daf blend
Lace city
in approx. ASCII-art 
o10s        o10s
                
x10o        x10o
                
                
      o10x
Dihedral angles
  • at {4} between cube and trip:   arccos[-(1+sqrt(5))/sqrt(12)] = 159.094843°
  • at {3} between squippy and tet:   arccos[-(3 sqrt(10+2 sqrt(5))-4)/8] = 157.908552°
  • at {4} between cube and pip:   arccos[-sqrt((5+sqrt(5))/10)] = 148.282526°
  • at {10} between dap and pecu:   arccos[-sqrt((9-sqrt(5)-2 sqrt(5-2 sqrt(5)))/8)] = 144.564973°
  • at {4} between squippy and trip:   arccos[-sqrt((95+42 sqrt(5)-10 sqrt(50+22 sqrt(5))-4 sqrt(250+110 sqrt(5)))/30)-sqrt((20 sqrt(50+22 sqrt(5))-4 sqrt(250+110 sqrt(5))-50-22 sqrt(5))/30)] = 133.807683°
  • at {4} between cube and squippy:   arccos[-sqrt((75+31 sqrt(5)-10 sqrt(50+22 sqrt(5))-2 sqrt(250+110 sqrt(5)))/20)-sqrt((10 sqrt(50+22 sqrt(5))-2 sqrt(250+110 sqrt(5))-25-11 sqrt(5))/20)] = 128.147789°
  • at {3} between dap and tet:   arccos[-sqrt(-11+3 sqrt(5)+6 sqrt(5-2 sqrt(5)))/4] = 93.722962°
  • at {3} between pecu and trip:   90°
  • at {4} between cube and pecu:   90°
  • at {5} between pecu and pip:   90°
  • at {3} between dap and squippy:   arccos[sqrt(-11+3 sqrt(5)+6 sqrt(5-2 sqrt(5)))/4] = 86.277038°
  • at {10} between dap and dap:   arccos[(5-sqrt(5)-2 sqrt(5-2 sqrt(5)))/4] = 70.870054°
Face vector 40, 115, 110, 35
Confer
blend-components:
daf   pecupe  

Incidence matrix according to Dynkin symbol

xxo2sox10oxo&#xt   → height(1,2) = sqrt((5-sqrt(5))/10) = 0.525731
                     height(2,3) = sqrt[2 sqrt(50+22 sqrt(5))-4 sqrt(5)-9]/2 = 0.702658
(pip || pseudo dip || gyro {10})

demi( o.. o..10o..    ) | 10  * * * | 1  2  2  0  0  0  0  0  0 | 1 2  2  1  2 0 0 0  0  0  0  0  0 0 | 1 1 1 2  0 0 0 0
      .o. .o.10.o.      |  * 20 * * | 0  0  1  1  1  1  1  1  0 | 0 0  1  1  1 1 1 1  1  1  1  1  1 0 | 0 1 1 1  1 1 1 1
demi( ..o ..o10..o    ) |  *  * 5 * | 0  0  0  0  0  0  4  0  2 | 0 0  0  0  0 0 0 0  2  0  4  2  0 1 | 0 0 0 0  2 1 0 2  closer to sefa edges of 1st layer
demi( ..o ..o10..o    ) |  *  * * 5 | 0  0  0  0  0  0  0  4  2 | 0 0  0  0  0 0 0 0  0  2  4  0  2 1 | 0 0 0 0  2 0 1 2  closer to demi vertices of 1st layer
------------------------+-----------+---------------------------+-------------------------------------+-----------------
demi( x.. ...  ...    ) |  2  0 0 0 | 5  *  *  *  *  *  *  *  * | 0 2  2  0  0 0 0 0  0  0  0  0  0 0 | 1 1 0 2  0 0 0 0
sefa( ... s..10o..    ) |  2  0 0 0 | * 10  *  *  *  *  *  *  * | 1 1  0  0  1 0 0 0  0  0  0  0  0 0 | 1 0 1 1  0 0 0 0
      oo. oo.10oo.&#x   |  1  1 0 0 | *  * 20  *  *  *  *  *  * | 0 0  1  1  1 0 0 0  0  0  0  0  0 0 | 0 1 1 1  0 0 0 0
      .x. ...  ...      |  0  2 0 0 | *  *  * 10  *  *  *  *  * | 0 0  1  0  0 1 1 0  1  1  0  0  0 0 | 0 1 0 1  1 1 1 0
demi( ... ...  .x.    ) |  0  2 0 0 | *  *  *  * 10  *  *  *  * | 0 0  0  0  1 1 0 1  0  0  0  1  0 0 | 0 0 1 1  0 1 0 1  para to sefa edges of 1st layer
demi( ... ...  .x.    ) |  0  2 0 0 | *  *  *  *  * 10  *  *  * | 0 0  0  1  0 0 1 1  0  0  0  0  1 0 | 0 1 1 0  0 0 1 1  closer to demi vertices of 1st layer
demi( .oo .oo10.oo&#x ) |  0  1 1 0 | *  *  *  *  *  * 20  *  * | 0 0  0  0  0 0 0 0  1  0  1  1  0 0 | 0 0 0 0  1 1 0 1
demi( .oo .oo10.oo&#x ) |  0  1 0 1 | *  *  *  *  *  *  * 20  * | 0 0  0  0  0 0 0 0  0  1  1  0  1 0 | 0 0 0 0  1 0 1 1
      ... ..x  ...      |  0  0 1 1 | *  *  *  *  *  *  *  * 10 | 0 0  0  0  0 0 0 0  0  0  2  0  0 1 | 0 0 0 0  1 0 0 2
------------------------+-----------+---------------------------+-------------------------------------+-----------------
      ... s..10o..      |  5  0 0 0 | 0  5  0  0  0  0  0  0  0 | 2 *  *  *  * * * *  *  *  *  *  * * | 1 0 1 0  0 0 0 0
sefa( x.. s..10o..    ) |  4  0 0 0 | 2  2  0  0  0  0  0  0  0 | * 5  *  *  * * * *  *  *  *  *  * * | 1 0 0 1  0 0 0 0
      xx. ...  ...&#x   |  2  2 0 0 | 1  0  2  1  0  0  0  0  0 | * * 10  *  * * * *  *  *  *  *  * * | 0 1 0 1  0 0 0 0
      ... ...  ox.&#x   |  1  2 0 0 | 0  0  2  0  0  1  0  0  0 | * *  * 10  * * * *  *  *  *  *  * * | 0 1 1 0  0 0 0 0
sefa( ... so.10ox.&#x ) |  2  2 0 0 | 0  1  2  0  1  0  0  0  0 | * *  *  * 10 * * *  *  *  *  *  * * | 0 0 1 1  0 0 0 0
demi( .x. ...  .x.    ) |  0  4 0 0 | 0  0  0  2  2  0  0  0  0 | * *  *  *  * 5 * *  *  *  *  *  * * | 0 0 0 1  0 1 0 0
demi( .x. ...  .x.    ) |  0  4 0 0 | 0  0  0  2  0  2  0  0  0 | * *  *  *  * * 5 *  *  *  *  *  * * | 0 1 0 0  0 0 1 0
      ... .o.10.x.      |  0 10 0 0 | 0  0  0  0  5  5  0  0  0 | * *  *  *  * * * 2  *  *  *  *  * * | 0 0 1 0  0 0 0 1
demi( .xo ...  ...&#x ) |  0  2 1 0 | 0  0  0  1  0  0  2  0  0 | * *  *  *  * * * * 10  *  *  *  * * | 0 0 0 0  1 1 0 0
demi( .xo ...  ...&#x ) |  0  2 0 1 | 0  0  0  1  0  0  0  2  0 | * *  *  *  * * * *  * 10  *  *  * * | 0 0 0 0  1 0 1 0
      ... .ox  ...&#x   |  0  1 1 1 | 0  0  0  0  0  0  1  1  1 | * *  *  *  * * * *  *  * 20  *  * * | 0 0 0 0  1 0 0 1
demi( ... ...  .xo&#x ) |  0  2 1 0 | 0  0  0  0  1  0  2  0  0 | * *  *  *  * * * *  *  *  * 10  * * | 0 0 0 0  0 1 0 1
demi( ... ...  .xo&#x ) |  0  2 0 1 | 0  0  0  0  0  1  0  2  0 | * *  *  *  * * * *  *  *  *  * 10 * | 0 0 0 0  0 0 1 1
      ... ..x10..o      |  0  0 5 5 | 0  0  0  0  0  0  0  0 10 | * *  *  *  * * * *  *  *  *  *  * 1 | 0 0 0 0  0 0 0 2
------------------------+-----------+---------------------------+-------------------------------------+-----------------
      x.. s..10o..      ♦ 10  0 0 0 | 5 10  0  0  0  0  0  0  0 | 2 5  0  0  0 0 0 0  0  0  0  0  0 0 | 1 * * *  * * * *
      xx. ...  ox.&#x   ♦  2  4 0 0 | 1  0  4  2  0  2  0  0  0 | 0 0  2  2  0 0 1 0  0  0  0  0  0 0 | * 5 * *  * * * *
      ... so.10ox.&#x   ♦  5 10 0 0 | 0  5 10  0  5  5  0  0  0 | 1 0  0  5  5 0 0 1  0  0  0  0  0 0 | * * 2 *  * * * *
sefa( xx.2so.10ox.&#x ) ♦  4  4 0 0 | 2  2  4  2  2  0  0  0  0 | 0 1  2  0  2 1 0 0  0  0  0  0  0 0 | * * * 5  * * * *
      .xo .ox  ...&#x   ♦  0  2 1 1 | 0  0  0  1  0  0  2  2  1 | 0 0  0  0  0 0 0 0  1  1  2  0  0 0 | * * * * 10 * * *
demi( .xo ...  .xo&#x ) ♦  0  4 1 0 | 0  0  0  2  2  0  4  0  0 | 0 0  0  0  0 1 0 0  2  0  0  2  0 0 | * * * *  * 5 * *
demi( .xo ...  .xo&#x ) ♦  0  4 0 1 | 0  0  0  2  0  2  0  4  0 | 0 0  0  0  0 0 1 0  0  2  0  0  2 0 | * * * *  * * 5 *
      ... .ox10.xo&#x   ♦  0 10 5 5 | 0  0  0  0  5  5 10 10 10 | 0 0  0  0  0 0 0 1  0  0 10  5  5 1 | * * * *  * * * 2

© 2004-2026
top of page