- Truncated trapezohedron
An "n"-agonal

**truncated trapezohedron**is apolyhedron formed by a "n"-agonaltrapezohedron with "n"-agonal pyramids truncated from its two polar axis vertices.The vertices exist as 4 "n"-agons in four parallel planes, with alternating orientation in the middle creating the

pentagons .The regular dodecahedron is the most common polyhedron in this class, being a

platonic solid , and 12 congruent pentagonal faces.A "truncated trapezohedron" has all vertices with 3 faces. This means that the dual polyhedra, the set of

gyroelongated dipyramid , have all triangular faces. For example, theicosahedron is the dual of thedodecahedron .**Forms***

Triangular truncated trapezohedron - 6 pentagons, 2 triangles, dualgyroelongated triangular dipyramid

*Square truncated trapezohedron - 8 pentagons, 2 squares, dualgyroelongated square dipyramid

* "Pentagonal truncated trapezohedron" or regular dodecahedron - 12 pentagonal faces, dualicosahedron

*Hexagonal truncated trapezohedron - 12 pentagons, 2 hexagons, dualgyroelongated hexagonal dipyramid

* ...

***n-agonal truncated trapezohedron**- 2n pentagons, 2 n-agons, dualgyroelongated dipyramid s**External links*** [

*http://www.georgehart.com/virtual-polyhedra/conway_notation.html Conway Notation for Polyhedra*] Try: "t**n**dA**n**", where**n**=4,5,6... example "t5dA5" is a dodecahedron.

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