Acronym gybeffip
Name gybef prism
Lace city
in approx. ASCII-art
x o    x o		- square
          
          
          
x x    x x		- cube
          
          
          
o x    o x		- ortho square


 |      +- gybef
 +-------- gybef
Coordinates
  1. (0, 1/2, 1/2, sqrt(3)/2)         & all changes of sign in 2nd & 3rd coord.
    (top square)
  2. (1/2, 1/2, 1/2, 0)                 & all changes of sign in first 3 coords.
    (cube pseudo face)
  3. (1/2, 1/2, 0, -sqrt(3)/2)       & all changes of sign in 1st & 2nd coord.
    (bottom ortho square)
Dihedral angles
  • at {4} between cube and trip (across join):   150°
  • at {4} between cube and gybef (in either stratos):   90°
  • at {4} between cube and trip (in either stratos):   90°
  • at {3} between gybef and trip:   90°
  • at {4} between cube and cube:   60°
Confer
uniform relative:
tisdip  
blend-component:
tisdip  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

oxx xxx xxo&#xt   → both heights = sqrt(3)/2 = 0.866025
{4} || pseudo cube || ortho {4}

o.. o.. o..     & | 8 *  1 1  2 0 0 | 1 1 2 2 0 | 1 1 2
.o. .o. .o.       | * 8 | 0 0  2 2 1 | 0 2 2 2 2 | 2 1 2
------------------+-----+------------+-----------+------
... x.. ...     & | 2 0 | 4 *  * * * | 1 0 2 0 0 | 1 0 2
... ... x..     & | 2 0 | * 4  * * * | 1 0 0 2 0 | 0 1 2
oo. oo. oo.&#x  & | 1 1 | * * 16 * * | 0 1 1 1 0 | 1 1 1
.x. ... ...     & | 0 2 | * *  * 8 * | 0 1 0 1 1 | 1 1 1
... .x. ...       | 0 2 | * *  * * 4 | 0 0 2 0 2 | 2 0 2
------------------+-----+------------+-----------+------
... x.. x..     & | 4 0 | 2 2  0 0 0 | 2 * * * * | 0 0 2
ox. ... ...&#x  & | 1 2 | 0 0  2 1 0 | * 8 * * * | 1 1 0
... xx. ...&#x  & | 2 2 | 1 0  2 0 1 | * * 8 * * | 1 0 1
... ... xx.&#x  & | 2 2 | 0 1  2 1 0 | * * * 8 * | 0 1 1
.x. .x. ...     & | 0 4 | 0 0  0 2 2 | * * * * 4 | 1 0 1
------------------+-----+------------+-----------+------
ox. xx. ...&#x  &  2 4 | 1 0  4 2 2 | 0 2 2 0 1 | 4 * *
oxx ... xxo&#xt    4 4 | 0 2  8 4 0 | 0 4 0 4 0 | * 2 *
... xx. xx.&#x  &  4 4 | 2 2  4 2 2 | 1 0 2 2 1 | * * 4

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