Acronym tridpyp
Name triangular-bipyramid prism,
tetrahedral prism bicupola,
external blend of 2 tetrahedral prisms
Lace city
in approx. ASCII-art
o3o  x3o  o3o	-- tridpy
             
             
o3o  x3o  o3o	-- tridpy

 |    |    +-- line
 |    +------- trip
 +------------ line
Dihedral angles
  • at {4} between trip and trip (equatorial):   arccos(-7/9) = 141.057559°
  • at {3} between tridpy and trip:   90°
  • at {4} between trip and trip (lacing):   arccos(1/3) = 70.528779°
Face vector 10, 23, 21, 8
Confer
blend-component:
tepe  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

xxx oxo3ooo&#xt   → both heights = sqrt(2/3) = 0.816497
(line || pseudo trip || line)

o.. o..3o..    & | 4 * | 1  3 0 0 | 3  3 0 | 3 1
.o. .o.3.o.      | * 6 | 0  2 1 2 | 2  4 2 | 4 1
-----------------+-----+----------+--------+----
x.. ... ...    & | 2 0 | 2  * * * | 3  0 0 | 3 0
oo. oo.3oo.&#x & | 1 1 | * 12 * * | 1  2 0 | 2 1
.x. ... ...      | 0 2 | *  * 3 * | 2  0 2 | 4 0
... .x. ...      | 0 2 | *  * * 6 | 0  2 1 | 2 1
-----------------+-----+----------+--------+----
xx. ... ...&#x & | 2 2 | 1  2 1 0 | 6  * * | 2 0
... ox. ...&#x & | 1 2 | 0  2 0 1 | * 12 * | 1 1
.x. .x. ...      | 0 4 | 0  0 2 2 | *  * 3 | 2 0
-----------------+-----+----------+--------+----
xx. ox. ...&#x &  2 4 | 1  4 2 2 | 2  2 1 | 6 *
... oxo3ooo&#xt   2 3 | 0  6 0 3 | 0  6 0 | * 2

© 2004-2024
top of page