Acronym ...
Name ho3oh&#q,
narrower variant of trigonal antiprism,
hemiation of hip
Circumradius sqrt(5)/2 = 1.118034
Snub derivation
Lace city
in approx. ASCII-art
 h   o
o   h 
Confer
uniform variant:
oct  
variations:
qo3oq&#x   xo3ox&#q   xo3ox&#h  
general antiprisms:
n-ap  

Incidence matrix according to Dynkin symbol

s2s3s

demi( . . .  ) | 6 | 1 1 2 | 1 3
---------------+---+-------+----
      s2s .    | 2 | 3 * * | 0 2  q
      s . s2*a | 2 | * 3 * | 0 2  q
sefa( . s3s  ) | 2 | * * 6 | 1 1  h
---------------+---+-------+----
      . s3s     3 | 0 0 3 | 2 *
sefa( s2s3s  ) | 3 | 1 1 1 | * 6
or
demi( . . . )            | 6 | 2 2 | 1 3
-------------------------+---+-----+----
      s2s .  &  s . s2*a | 2 | 6 * | 0 2  q
sefa( . s3s )            | 2 | * 6 | 1 1  h
-------------------------+---+-----+----
      . s3s               3 | 0 3 | 2 *
sefa( s2s3s )            | 3 | 2 1 | * 6

starting figure: x x3x

s2s6o

demi( . . . ) | 6 | 2 2 | 1 3
--------------+---+-----+----
      s2s .   | 2 | 6 * | 0 2  q
sefa( . s6o ) | 2 | * 6 | 1 1  h
--------------+---+-----+----
      . s6o    3 | 0 3 | 2 *
sefa( s2s6o ) | 3 | 2 1 | * 6

starting figure: x x6o

ho3oh&#q   → height = 1
(h-{3} || dual h-{3} – with q-lacings)

o.3o.    | 3 * | 2 2 0 | 1 2 1 0
.o3.o    | * 3 | 0 2 2 | 0 1 2 1
---------+-----+-------+--------
h. ..    | 2 0 | 3 * * | 1 1 0 0  h
oo3oo&#q | 1 1 | * 6 * | 0 1 1 0  q
.. .h    | 0 2 | * * 3 | 0 0 1 1  h
---------+-----+-------+--------
h.3o.    | 3 0 | 3 0 0 | 1 * * *
ho ..&#q | 2 1 | 1 2 0 | * 3 * *
.. oh&#q | 1 2 | 0 2 1 | * * 3 *
.o3.h    | 0 3 | 0 0 3 | * * * 1

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