Acronym	trapedip, K-4.34
Name	triangle - pentagon duoprism, pentagon - pip wedge
	©   ©
Circumradius	sqrt[(25+3 sqrt(5))/30] = 1.028076
Volume	sqrt[75+30 sqrt(5)]/16 = 0.744989
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Dihedral angles	at {3} between trip and trip:   108° at {4} between pip and trip:   90° at {5} between pip and pip:   60°
Face vector	15, 30, 23, 8
Confer	general duoprisms: n,m-dip   3,n-dip   5,n-dip   general polytopal classes: segmentochora   bistratic lace towers
External links

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

Incidence matrix according to Dynkin symbol

x3o x5o

. . . . | 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
. . x5o |  5 |  0  5 | *  * 3 | 0 2
--------+----+-------+--------+----
x3o x . ♦  6 |  6  3 | 2  3 0 | 5 *
x . x5o ♦ 10 |  5 10 | 0  5 2 | * 3

x3o x5/4o

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

x3/2o x5o

.   . . . | 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
.   . x5o |  5 |  0  5 | *  * 3 | 0 2
----------+----+-------+--------+----
x3/2o x . ♦  6 |  6  3 | 2  3 0 | 5 *
x   . x5o ♦ 10 |  5 10 | 0  5 2 | * 3

x3/2o x5/4o

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

ox xx5oo&#x    → height = sqrt(3)/2 = 0.866025
({5} || pip)

o. o.5o.    | 5  * | 2  2 0  0 | 1 1  4 0 0 | 2 2 0
.o .o5.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 oo5oo&#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.5o.    | 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.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 * *
.. xx5oo&#x ♦ 5  5 | 5  5 0  5 | 1 0  5 0 1 | * 2 *
.x .x5.o    ♦ 0 10 | 0  0 5 10 | 0 0  0 5 2 | * * 1

ofx xxx3ooo&#xt   → height(1,2) = sqrt[(5-sqrt(5))/8] = 0.587785
                    height(2,3) = sqrt[(5+sqrt(5))/8] = 0.951057

o.. o..3o..     | 3 * * | 2 2 0 0 0 0 | 1 1 4 0 0 0 0 | 2 2 0 0
.o. .o.3.o.     | * 6 * | 0 1 2 1 0 0 | 0 1 2 1 2 0 0 | 2 1 1 0
..o ..o3..o     | * * 6 | 0 0 0 1 1 2 | 0 1 0 0 2 2 1 | 2 0 1 1
----------------+-------+-------------+---------------+--------
... x.. ...     | 2 0 0 | 3 * * * * * | 1 0 2 0 0 0 0 | 1 2 0 0
oo. oo.3oo.&#x  | 1 1 0 | * 6 * * * * | 0 1 2 0 0 0 0 | 2 1 0 0
... .x. ...     | 0 2 0 | * * 6 * * * | 0 0 1 1 1 0 0 | 1 1 1 0
.oo .oo3.oo&#x  | 0 1 1 | * * * 6 * * | 0 1 0 0 2 0 0 | 2 0 1 0
..x ... ...     | 0 0 2 | * * * * 3 * | 0 1 0 0 0 2 0 | 2 0 0 1
... ..x ...     | 0 0 2 | * * * * * 6 | 0 0 0 0 1 1 1 | 1 0 1 1
----------------+-------+-------------+---------------+--------
... x..3o..     | 3 0 0 | 3 0 0 0 0 0 | 1 * * * * * * | 0 2 0 0
ofx ... ...&#xt | 1 2 2 | 0 2 0 2 1 0 | * 3 * * * * * | 2 0 0 0
... xx. ...&#x  | 2 2 0 | 1 2 1 0 0 0 | * * 6 * * * * | 1 1 0 0
... .x.3.o.     | 0 3 0 | 0 0 3 0 0 0 | * * * 2 * * * | 0 1 1 0
... .xx ...&#x  | 0 2 2 | 0 0 1 2 0 1 | * * * * 6 * * | 1 0 1 0
..x ..x ...     | 0 0 4 | 0 0 0 0 2 2 | * * * * * 3 * | 1 0 0 1
... ..x3..o     | 0 0 3 | 0 0 0 0 0 3 | * * * * * * 2 | 0 0 1 1
----------------+-------+-------------+---------------+--------
ofx xxx ...&#xt ♦ 2 4 4 | 1 4 2 4 2 2 | 0 2 2 0 2 1 0 | 3 * * *
... xx.3oo.&#x  ♦ 3 3 0 | 3 3 3 0 0 0 | 1 0 3 1 0 0 0 | * 2 * *
... .xx3.oo&#x  ♦ 0 3 3 | 0 0 3 3 0 3 | 0 0 0 1 3 0 1 | * * 2 *
..x ..x3..o     ♦ 0 0 6 | 0 0 0 0 3 6 | 0 0 0 0 0 3 2 | * * * 1