Acronym bautip, J50
Name biaugmented triangular prism
 
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Vertex figures [34], [35], [33,4]
Coordinates
  1. (1/2, 0, 1/sqrt(3))                 & all changes of sign in 1st coord.
    (biaugmentation rim)
  2. (0, A/2, A/sqrt(12))             & all changes of sign in 2nd coord.
    (augmentation apices)
  3. (1/2, 1/2, -1/sqrt(12))          & all changes of sign in 1st & 2nd coord.
    (opposite {4})
where A = (1+sqrt(6))/2
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between {3} and {3} (across biaugmentation rim):   arccos[-(1+2 sqrt(6))/6] = 169.471221°
  • between {3} and {3} (across augmentation rim):   arccos[-sqrt(2/3)] = 144.735610°
  • between {3} and {4} (across augmentation rim):   arccos[-(sqrt(6)-1)/sqrt(12)] = 114.735610°
  • between {3} and {3} (within squippy-part):   arccos(-1/3) = 109.471221°
  • between {3} and {4} (within trip-part):   90°
Confer
related Johnson solids:
squippy   autip   tautip  
blend-components:
squippy   trip  
general polytopal classes:
Johnson solids   bistratic lace towers  
External
links
wikipedia   mathworld   quickfur  

Incidence matrix according to Dynkin symbol

xox oAx&#xt   → height(1,2) = (3-sqrt(6))/sqrt(48) = 0.079459
                height(2,3) = (3+sqrt(6))/sqrt(48) = 0.786566
                where A = (1+sqrt(6))/2 = 1.724745
(line || (pseudo) A-line || {4})

o.. o..     | 2 * * | 1 2 2 0 0 0 | 2 2 1 0 0
.o. .o.     | * 2 * | 0 2 0 2 0 0 | 1 2 0 1 0
..o ..o     | * * 4 | 0 0 1 1 1 1 | 0 1 1 1 1
------------+-------+-------------+----------
x.. ...     | 2 0 0 | 1 * * * * * | 2 0 0 0 0
oo. oo.&#x  | 1 1 0 | * 4 * * * * | 1 1 0 0 0
o.o o.o&#x  | 1 0 1 | * * 4 * * * | 0 1 1 0 0
.oo .oo&#x  | 0 1 1 | * * * 4 * * | 0 1 0 1 0
..x ...     | 0 0 2 | * * * * 2 * | 0 0 1 0 1
... ..x     | 0 0 2 | * * * * * 2 | 0 0 0 1 1
------------+-------+-------------+----------
xo. ...&#x  | 2 1 0 | 1 2 0 0 0 0 | 2 * * * *
ooo ooo&#x  | 1 1 1 | 0 1 1 1 0 0 | * 4 * * *
... o.x&#x  | 1 0 2 | 0 0 2 0 1 0 | * * 2 * *
.ox ...&#x  | 0 1 2 | 0 0 0 2 0 1 | * * * 2 *
..x ..x     | 0 0 4 | 0 0 0 0 2 2 | * * * * 1

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