Acronym tradedip, K-4.94 Name triangle - decagon duoprism,decagon - dip wedge Circumradius sqrt[(11+3 sqrt(5))/6] = 1.717954 Volume 5 sqrt[15+6 sqrt(5)]/8 = 3.331690 General of army (is itself convex) Colonel of regiment (is itself locally convex) Dihedral angles at {3} between trip and trip:   144° at {4} between dip and trip:   90° at {10} between dip and dip:   60° Confer general duoprisms: n,m-dip   2n,m-dip   3,n-dip   10,n-dip   general polytopal classes: segmentochora Externallinks

Incidence matrix according to Dynkin symbol

```x3o x10o

. . .  . | 30 |  2  2 |  1  4 1 |  2 2
---------+----+-------+---------+-----
x . .  . |  2 | 30  * |  1  2 0 |  2 1
. . x  . |  2 |  * 30 |  0  2 1 |  1 2
---------+----+-------+---------+-----
x3o .  . |  3 |  3  0 | 10  * * |  2 0
x . x  . |  4 |  2  2 |  * 30 * |  1 1
. . x10o | 10 |  0 10 |  *  * 3 |  0 2
---------+----+-------+---------+-----
x3o x  . ♦  6 |  6  3 |  2  3 0 | 10 *
x . x10o ♦ 20 | 10 20 |  0 10 2 |  * 3
```

```x3o x10/9o

. . .    . | 30 |  2  2 |  1  4 1 |  2 2
-----------+----+-------+---------+-----
x . .    . |  2 | 30  * |  1  2 0 |  2 1
. . x    . |  2 |  * 30 |  0  2 1 |  1 2
-----------+----+-------+---------+-----
x3o .    . |  3 |  3  0 | 10  * * |  2 0
x . x    . |  4 |  2  2 |  * 30 * |  1 1
. . x10/9o | 10 |  0 10 |  *  * 3 |  0 2
-----------+----+-------+---------+-----
x3o x    . ♦  6 |  6  3 |  2  3 0 | 10 *
x . x10/9o ♦ 20 | 10 20 |  0 10 2 |  * 3
```

```x3/2o x10o

.   . .  . | 30 |  2  2 |  1  4 1 |  2 2
-----------+----+-------+---------+-----
x   . .  . |  2 | 30  * |  1  2 0 |  2 1
.   . x  . |  2 |  * 30 |  0  2 1 |  1 2
-----------+----+-------+---------+-----
x3/2o .  . |  3 |  3  0 | 10  * * |  2 0
x   . x  . |  4 |  2  2 |  * 30 * |  1 1
.   . x10o | 10 |  0 10 |  *  * 3 |  0 2
-----------+----+-------+---------+-----
x3/2o x  . ♦  6 |  6  3 |  2  3 0 | 10 *
x   . x10o ♦ 20 | 10 20 |  0 10 2 |  * 3
```

```x3/2o x10/9o

.   . .    . | 30 |  2  2 |  1  4 1 |  2 2
-------------+----+-------+---------+-----
x   . .    . |  2 | 30  * |  1  2 0 |  2 1
.   . x    . |  2 |  * 30 |  0  2 1 |  1 2
-------------+----+-------+---------+-----
x3/2o .    . |  3 |  3  0 | 10  * * |  2 0
x   . x    . |  4 |  2  2 |  * 30 * |  1 1
.   . x10/9o | 10 |  0 10 |  *  * 3 |  0 2
-------------+----+-------+---------+-----
x3/2o x    . ♦  6 |  6  3 |  2  3 0 | 10 *
x   . x10/9o ♦ 20 | 10 20 |  0 10 2 |  * 3
```

```x3o x5x

. . . . | 30 |  2  1  1 |  1  2  2 1 | 1 1 2
--------+----+----------+------------+------
x . . . |  2 | 30  *  * |  1  1  1 0 | 1 1 1
. . x . |  2 |  * 15  * |  0  2  0 1 | 1 0 2
. . . x |  2 |  *  * 15 |  0  0  2 1 | 0 1 2
--------+----+----------+------------+------
x3o . . |  3 |  3  0  0 | 10  *  * * | 1 1 0
x . x . |  4 |  2  2  0 |  * 15  * * | 1 0 1
x . . x |  4 |  2  0  2 |  *  * 15 * | 0 1 1
. . x5x | 10 |  0  5  5 |  *  *  * 3 | 0 0 2
--------+----+----------+------------+------
x3o x . ♦  6 |  6  3  0 |  2  3  0 0 | 5 * *
x3o . x ♦  6 |  6  0  3 |  2  0  3 0 | * 5 *
x . x5x ♦ 20 | 10 10 10 |  0  5  5 2 | * * 3
```

```x3/2o x5x

.   . . . | 30 |  2  1  1 |  1  2  2 1 | 1 1 2
----------+----+----------+------------+------
x   . . . |  2 | 30  *  * |  1  1  1 0 | 1 1 1
.   . x . |  2 |  * 15  * |  0  2  0 1 | 1 0 2
.   . . x |  2 |  *  * 15 |  0  0  2 1 | 0 1 2
----------+----+----------+------------+------
x3/2o . . |  3 |  3  0  0 | 10  *  * * | 1 1 0
x   . x . |  4 |  2  2  0 |  * 15  * * | 1 0 1
x   . . x |  4 |  2  0  2 |  *  * 15 * | 0 1 1
.   . x5x | 10 |  0  5  5 |  *  *  * 3 | 0 0 2
----------+----+----------+------------+------
x3/2o x . ♦  6 |  6  3  0 |  2  3  0 0 | 5 * *
x3/2o . x ♦  6 |  6  0  3 |  2  0  3 0 | * 5 *
x   . x5x ♦ 20 | 10 10 10 |  0  5  5 2 | * * 3
```

```ox xx10oo&#x   → height = sqrt(3)/2 = 0.866025
({10} || dip)

o. o.10o.    | 10  * |  2  2  0  0 | 1  4  1  0 0 | 2  2 0
.o .o10.o    |  * 20 |  0  1  1  2 | 0  2  1  2 1 | 1  2 1
-------------+-------+-------------+--------------+-------
.. x.  ..    |  2  0 | 10  *  *  * | 1  2  0  0 0 | 2  1 0
oo oo10oo&#x |  1  1 |  * 20  *  * | 0  2  1  0 0 | 1  2 0
.x ..  ..    |  0  2 |  *  * 10  * | 0  0  1  2 0 | 0  2 1
.. .x  ..    |  0  2 |  *  *  * 20 | 0  1  0  1 1 | 1  1 1
-------------+-------+-------------+--------------+-------
.. x.10o.    | 10  0 | 10  0  0  0 | 1  *  *  * * | 2  0 0
.. xx  ..&#x |  2  2 |  1  2  0  1 | * 20  *  * * | 1  1 0
ox ..  ..&#x |  1  2 |  0  2  1  0 | *  * 10  * * | 0  2 0
.x .x  ..    |  0  4 |  0  0  2  2 | *  *  * 10 * | 0  1 1
.. .x10.o    |  0 10 |  0  0  0 10 | *  *  *  * 2 | 1  0 1
-------------+-------+-------------+--------------+-------
.. xx10oo&#x ♦ 10 10 | 10 10  0 10 | 1 10  0  0 1 | 2  * *
ox xx  ..&#x ♦  2  4 |  1  4  2  2 | 0  2  2  1 0 | * 10 *
.x .x10.o    ♦  0 20 |  0  0 10 20 | 0  0  0 10 2 | *  * 1
```

```ox xx5xx&#x   → height = sqrt(3)/2 = 0.866025
({10} || dip)

o. o.5o.    | 10  * | 1 1  2  0  0  0 | 1  1  2  2 0 0 0 | 1 1 2 0
.o .o5.o    |  * 20 | 0 0  1  1  1  1 | 0  1  1  1 1 1 1 | 1 1 1 1
------------+-------+-----------------+------------------+--------
.. x. ..    |  2  0 | 5 *  *  *  *  * | 1  0  2  0 0 0 0 | 1 0 2 0
.. .. x.    |  2  0 | * 5  *  *  *  * | 1  0  0  2 0 0 0 | 0 1 2 0
oo oo5oo&#x |  1  1 | * * 20  *  *  * | 0  1  1  1 0 0 0 | 1 1 1 0
.x .. ..    |  0  2 | * *  * 10  *  * | 0  1  0  0 1 1 0 | 1 1 0 1
.. .x ..    |  0  2 | * *  *  * 10  * | 0  0  1  0 1 0 1 | 1 0 1 1
.. .. .x    |  0  2 | * *  *  *  * 10 | 0  0  0  1 0 1 1 | 0 1 1 1
------------+-------+-----------------+------------------+--------
.. x.5x.    | 10  0 | 5 5  0  0  0  0 | 1  *  *  * * * * | 0 0 2 0
ox .. ..&#x |  1  2 | 0 0  2  1  0  0 | * 10  *  * * * * | 1 1 0 0
.. xx ..&#x |  2  2 | 1 0  2  0  1  0 | *  * 10  * * * * | 1 0 1 0
.. .. xx&#x |  2  2 | 0 1  2  0  0  1 | *  *  * 10 * * * | 0 1 1 0
.x .x ..    |  0  4 | 0 0  0  2  2  0 | *  *  *  * 5 * * | 1 0 0 1
.x .. .x    |  0  4 | 0 0  0  2  0  2 | *  *  *  * * 5 * | 0 1 0 1
.. .x5.x    |  0 10 | 0 0  0  0  5  5 | *  *  *  * * * 2 | 0 0 1 1
------------+-------+-----------------+------------------+--------
ox xx ..&#x ♦  2  4 | 1 0  4  2  2  0 | 0  2  2  0 1 0 0 | 5 * * *
ox .. xx&#x ♦  2  4 | 0 1  4  2  0  2 | 0  2  0  2 0 1 0 | * 5 * *
.. xx5xx&#x ♦ 10 10 | 5 5 10  0  5  5 | 1  0  5  5 0 0 1 | * * 2 *
.x .x5.x    ♦  0 20 | 0 0  0 10 10 10 | 0  0  0  0 5 5 2 | * * * 1
```

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