|Bowers style acronym||Phiddap|
|Symmetry||I2(10)×I2(12)/2, order 240|
|Cells||60 digonal disphenoids, 12 pentagonal antiprisms, 10 hexagonal antiprisms|
|Faces||120+120 isosceles triangles, 12 pentagons, 10 hexagons|
|Measures (based on polygons of edge length 1)|
|Edge lengths||Lacing (120):|
|Edges of pentagons (60): 1|
|Edges of hexagons (60): 1|
The pentagonal-hexagonal duoantiprism or phiddap, also known as the 5-6 duoantiprism, is a convex isogonal polychoron that consists of 10 hexagonal antiprisms, 12 pentagonal antiprisms, and 60 digonal disphenoids. 2 hexagonal antiprisms, 2 pentagonal antiprisms, and 4 digonal disphenoids join at each vertex. It can be obtained through the process of alternating the decagonal-dodecagonal duoprism. However, it cannot be made uniform, as it generally has 3 edge lengths, which can be minimized to no fewer than 2 different sizes.
Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.35539.
Vertex coordinates[edit | edit source]
The vertices of a pentagonal-hexagonal duoantiprism based on pentagons and hexagons of edge length 1, centered at the origin, are given by: