Acronym tistadip
Name triangle - pentagram duoprism,
pentagram - stip wedge
 
 
 ©
Circumradius sqrt[(25-3 sqrt(5))/30] = 0.780850
Dihedral angles
Confer
general duoprisms:
n/d,m/b-dip  
general polytopal classes:
segmentochora   bistratic lace towers  
External
links
hedrondude   wikipedia   polytopewiki  

As abstract polytope tistadip is isomorphic to trapedip, thereby replacing pentagrams by pentagons, resp. stip by pip.


Incidence matrix according to Dynkin symbol

x3o x5/2o

. . .   . | 15 |  2  2 | 1  4 1 | 2 2
----------+----+-------+--------+----
x . .   . |  2 | 15  * | 1  2 0 | 2 1
. . x   . |  2 |  * 15 | 0  2 1 | 1 2
----------+----+-------+--------+----
x3o .   . |  3 |  3  0 | 5  * * | 2 0
x . x   . |  4 |  2  2 | * 15 * | 1 1
. . x5/2o |  5 |  0  5 | *  * 3 | 0 2
----------+----+-------+--------+----
x3o x   .   6 |  6  3 | 2  3 0 | 5 *
x . x5/2o  10 |  5 10 | 0  5 2 | * 3

x3o x5/3o

. . .   . | 15 |  2  2 | 1  4 1 | 2 2
----------+----+-------+--------+----
x . .   . |  2 | 15  * | 1  2 0 | 2 1
. . x   . |  2 |  * 15 | 0  2 1 | 1 2
----------+----+-------+--------+----
x3o .   . |  3 |  3  0 | 5  * * | 2 0
x . x   . |  4 |  2  2 | * 15 * | 1 1
. . x5/3o |  5 |  0  5 | *  * 3 | 0 2
----------+----+-------+--------+----
x3o x   .   6 |  6  3 | 2  3 0 | 5 *
x . x5/3o  10 |  5 10 | 0  5 2 | * 3

x3/2o x5/2o

.   . .   . | 15 |  2  2 | 1  4 1 | 2 2
------------+----+-------+--------+----
x   . .   . |  2 | 15  * | 1  2 0 | 2 1
.   . x   . |  2 |  * 15 | 0  2 1 | 1 2
------------+----+-------+--------+----
x3/2o .   . |  3 |  3  0 | 5  * * | 2 0
x   . x   . |  4 |  2  2 | * 15 * | 1 1
.   . x5/2o |  5 |  0  5 | *  * 3 | 0 2
------------+----+-------+--------+----
x3/2o x   .   6 |  6  3 | 2  3 0 | 5 *
x   . x5/2o  10 |  5 10 | 0  5 2 | * 3

x3/2o x5/3o

.   . .   . | 15 |  2  2 | 1  4 1 | 2 2
------------+----+-------+--------+----
x   . .   . |  2 | 15  * | 1  2 0 | 2 1
.   . x   . |  2 |  * 15 | 0  2 1 | 1 2
------------+----+-------+--------+----
x3/2o .   . |  3 |  3  0 | 5  * * | 2 0
x   . x   . |  4 |  2  2 | * 15 * | 1 1
.   . x5/3o |  5 |  0  5 | *  * 3 | 0 2
------------+----+-------+--------+----
x3/2o x   .   6 |  6  3 | 2  3 0 | 5 *
x   . x5/3o  10 |  5 10 | 0  5 2 | * 3

ox xx5/2oo&#x    → height = sqrt(3)/2 = 0.866025
({5/2} || stip)

o. o.5/2o.    | 5  * | 2  2 0  0 | 1 1  4 0 0 | 2 2 0
.o .o5/2.o    | * 10 | 0  1 1  2 | 0 1  2 2 1 | 2 1 1
--------------+------+-----------+------------+------
.. x.   ..    | 2  0 | 5  * *  * | 1 0  2 0 0 | 1 2 0
oo oo5/2oo&#x | 1  1 | * 10 *  * | 0 1  2 0 0 | 2 1 0
.x ..   ..    | 0  2 | *  * 5  * | 0 1  0 2 0 | 2 0 1
.. .x   ..    | 0  2 | *  * * 10 | 0 0  1 1 1 | 1 1 1
--------------+------+-----------+------------+------
.. x.5/2o.    | 5  0 | 5  0 0  0 | 1 *  * * * | 0 2 0
ox ..   ..&#x | 1  2 | 0  2 1  0 | * 5  * * * | 2 0 0
.. xx   ..&#x | 2  2 | 1  2 0  1 | * * 10 * * | 1 1 0
.x .x   ..    | 0  4 | 0  0 2  2 | * *  * 5 * | 1 0 1
.. .x5/2.o    | 0  5 | 0  0 0  5 | * *  * * 2 | 0 1 1
--------------+------+-----------+------------+------
ox xx   ..&#x  2  4 | 1  4 2  2 | 0 2  2 1 0 | 5 * *
.. xx5/2oo&#x  5  5 | 5  5 0  5 | 1 0  5 0 1 | * 2 *
.x .x5/2.o     0 10 | 0  0 5 10 | 0 0  0 5 2 | * * 1

© 2004-2021
top of page