| Acronym | ... | 
| Name | u q3o, variation of triangular prism | 
| Circumradius | sqrt(5/3) = 1.290994 | 
| Lace city in approx. ASCII-art | o o q q | 
| General of army | (is itself convex) | 
| Colonel of regiment | (is itself locally convex) | 
| Dihedral angles | 
 | 
| Face vector | 6, 9, 5 | 
| Confer | 
using edge sizes u = 2 and q = sqrt(2) = 1.414214
Incidence matrix according to Dynkin symbol
u q3o . . . | 6 | 1 2 | 2 1 ------+---+-----+---- u . . | 2 | 3 * | 2 0 . q . | 2 | * 6 | 1 1 ------+---+-----+---- u q . | 4 | 2 2 | 3 * . q3o | 3 | 0 3 | * 2
qq3oo&#u   → height = 2
(q-{3} || q-{3})
o.3o.    | 3 * | 2 1 0 | 1 2 0
.o3.o    | * 3 | 0 1 2 | 0 2 1
---------+-----+-------+------
q. ..    | 2 0 | 3 * * | 1 1 0
oo3oo&#x | 1 1 | * 3 * | 0 2 0
.q ..    | 0 2 | * * 3 | 0 1 1
---------+-----+-------+------
q.3o.    | 3 0 | 3 0 0 | 1 * *
qq ..&#x | 2 2 | 1 2 1 | * 3 *
.q3.o    | 0 3 | 0 0 3 | * * 1
uu oq&#q   → height = sqrt(3/2) = 1.224745
(u-line || (u,q)-{4})
o. o.    | 2 * | 1 2 0 0 | 2 1 0
.o .o    | * 4 | 0 1 1 1 | 1 1 1
---------+-----+---------+------
u. ..    | 2 0 | 1 * * * | 2 0 0
oo oo&#q | 1 1 | * 4 * * | 1 1 0
.u ..    | 0 2 | * * 2 * | 1 0 1
.. .q    | 0 2 | * * * 2 | 0 1 1
---------+-----+---------+------
uu ..&#q | 2 2 | 1 2 1 0 | 2 * *
.. oq&#q | 1 2 | 0 2 0 1 | * 2 *
.u .q    | 0 4 | 0 0 2 2 | * * 1
uuu&#q → all heights = sqrt(2) = 1.414214 (u-line || (u-line || u-line)) o.. | 2 * * | 1 1 1 0 0 0 | 1 1 1 0 .o. | * 2 * | 0 1 0 1 1 0 | 1 0 1 1 ..o | * * 2 | 0 0 1 0 1 1 | 0 1 1 1 -------+-------+-------------+-------- u.. | 2 0 0 | 1 * * * * * | 1 1 0 0 oo.&#q | 1 1 0 | * 2 * * * * | 1 0 1 0 o.o&#q | 1 0 1 | * * 2 * * * | 0 1 1 0 .u. | 0 2 0 | * * * 1 * * | 1 0 0 1 .oo&#q | 0 1 1 | * * * * 2 * | 0 0 1 1 ..u | 0 0 2 | * * * * * 1 | 0 1 0 1 -------+-------+-------------+-------- uu.&#q | 2 2 0 | 1 2 0 1 0 0 | 1 * * * u.u&#q | 2 0 2 | 1 0 2 0 0 1 | * 1 * * ooo&#q | 1 1 1 | 0 1 1 0 1 0 | * * 2 * .uu&#q | 0 2 2 | 0 0 0 1 2 1 | * * * 1
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