Acronym baudeca
Name biaugmented decachoron
Lace city
in approx. ASCII-art 
   o3o  o3x    		-- o3o3x (tet)
               
o3x  o3u  x3x  		-- o3x3x (tut)
               
               
 o3u       u3o 		-- o3u3o (u-oct)
               
               
  x3x  u3o  x3o		-- x3x3o (inv tut)
               
    x3o  o3o   		-- x3o3o (dual tet)

         x o   o x         		-- o3o3x (tet)
                           
                           
   x o   u x   x u   o x   		-- o3x3x (tut)
                           
                           
                           
o o         u u         o o		-- o3u3o (u-oct)
                           
                           
                           
   o x   x u   u x   x o   		-- x3x3o (inv tut)
                           
                           
         o x   x o         		-- x3o3o (dual tet)
Dihedral angles
  • at {6} between tricu and tut:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {3} between tet and tut (across augmentation rim):   arccos[-(3 sqrt(5)-1)/8] = 135.522488°
  • at {3} between tet and tricu:   120°
  • at {6} between tut and tut:   arccos(-1/4) = 104.477512°
  • at {4} between tricu and tricu:   90°
  • at {3} between tut and tut:   arccos(1/4) = 75.522488°
  • at {3} between tet and tut (within cap):   60°
Face vector 38, 96, 84, 26
Confer
blend-components:
deca   tetatut  

Incidence matrix according to Dynkin symbol

xxooo3oxuxo3oooxx&#xt   → outer heights = 1/sqrt(2) = 0.707107
                          inner heights = sqrt(5/8) = 0.790569
(tet || pseudo tut || pseudo u-oct || pseudo inv tut || dual tet)
 
o....3o....3o....     & | 8  * * ♦  3  3  0  0  0 | 3  3  3 0 0  0  0 | 1 3 1 0
.o...3.o...3.o...     & | * 24 * |  0  1  1  2  1 | 0  1  2 2 1  1  2 | 0 2 1 3
..o..3..o..3..o..       | *  * 6 |  0  0  0  0  4 | 0  0  0 0 0  2  4 | 0 0 0 4
------------------------+--------+----------------+-------------------+--------
x.... ..... .....     & | 2  0 0 | 12  *  *  *  * | 2  1  0 0 0  0  0 | 1 2 0 0
oo...3oo...3oo...&#x  & | 1  1 0 |  * 24  *  *  * | 0  1  2 0 0  0  0 | 0 2 1 0
.x... ..... .....     & | 0  2 0 |  *  * 12  *  * | 0  1  0 2 0  1  0 | 0 2 0 2
..... .x... .....     & | 0  2 0 |  *  *  * 24  * | 0  0  1 1 1  0  1 | 0 1 1 2
.oo..3.oo..3.oo..&#x  & | 0  1 1 |  *  *  *  * 24 | 0  0  0 0 0  1  2 | 0 0 0 3
------------------------+--------+----------------+-------------------+--------
x....3o.... .....     & | 3  0 0 |  3  0  0  0  0 | 8  *  * * *  *  * | 1 1 0 0
xx... ..... .....&#x  & | 2  2 0 |  1  2  1  0  0 | * 12  * * *  *  * | 0 2 0 0
..... ox... .....&#x  & | 1  2 0 |  0  2  0  1  0 | *  * 24 * *  *  * | 0 1 1 0
.x...3.x... .....     & | 0  6 0 |  0  0  3  3  0 | *  *  * 8 *  *  * | 0 1 0 1
..... .x...3.o...     & | 0  3 0 |  0  0  0  3  0 | *  *  * * 8  *  * | 0 0 1 1
.xo.. ..... .....&#x  & | 0  2 1 |  0  0  1  0  2 | *  *  * * * 12  * | 0 0 0 2
..... .xux. .....&#xt   | 0  4 2 |  0  0  0  2  4 | *  *  * * *  * 12 | 0 0 0 2
------------------------+--------+----------------+-------------------+--------
x....3o....3o....     & ♦ 4  0 0 |  6  0  0  0  0 | 4  0  0 0 0  0  0 | 2 * * *
xx...3ox... .....&#x  & ♦ 3  6 0 |  3  6  3  3  0 | 1  3  3 1 0  0  0 | * 8 * *
..... ox...3oo...&#x  & ♦ 1  3 0 |  0  3  0  3  0 | 0  0  3 0 1  0  0 | * * 8 *
.xoo.3.xux. .....&#xt & ♦ 0  9 3 |  0  0  3  6  9 | 0  0  0 1 1  3  3 | * * * 8

© 2004-2024
top of page