Truncated hexagonal trapezohedron
{{Short description|Truncated trapezohedron with a 6-sided base}}
{{Infobox polyhedron
| image = Hexagonal truncated trapezohedron.png
| euler =
| type = Truncated trapezohedron
| faces = 12 pentagons
2 hexagons
| edges = 36
| vertices = 24
| vertex_config =
| schläfli =
| wythoff =
| coxeter =
| conway = [https://levskaya.github.io/polyhedronisme/?recipe=C100t6dA6 t6dA6]
| symmetry = {{math|Symmetry_group#Three_dimensions, [12,2{{sup|+}}], 2*6,}} order 24
| rotation_group = {{math|D{{sub|6}}, [6,2]{{sup|+}}, 226,}} order 12
| surface_area =
| volume =
| dual = Gyroelongated hexagonal dipyramid
| properties = convex
| vertex_figure =
| net =
}}
In geometry, the truncated hexagonal trapezohedron is the fourth in an infinite series of truncated trapezohedra. It has 12 pentagon and 2 hexagon faces. It can be constructed by taking a hexagonal trapezohedron and truncating the polar axis vertices.
Weaire–Phelan structure
The Weaire–Phelan structure contains another form of this polyhedron that has D2d symmetry and is a part of a space-filling honeycomb along with an irregular dodecahedron.
class="wikitable" |
align=center
|160px |160px |
See also
External links
- [http://www.steelpillow.com/polyhedra/wp/wp.html Wearie-Phelan Bubbles]
- [http://www.georgehart.com/virtual-polyhedra/conway_notation.html Conway Notation for Polyhedra] Try: "t6dA6".
{{Polyhedron-stub}}