In
geometry, the elongated pentagonal orthobirotunda is one of the
Johnson solid
In geometry, a Johnson solid is a strictly convex polyhedron each face of which is a regular polygon. There is no requirement that isohedral, each face must be the same polygon, or that the same polygons join around each Vertex (geometry), ver ...
s (). Its
Conway polyhedron notation i
at5jP5 As the name suggests, it can be constructed by elongating a
pentagonal orthobirotunda () by inserting a
decagonal prism between its congruent halves. Rotating one of the
pentagonal rotundae () through 36 degrees before inserting the prism yields the
elongated pentagonal gyrobirotunda
In geometry, the elongated pentagonal gyrobirotunda is one of the Johnson solids (). As the name suggests, it can be constructed by elongating a "pentagonal gyrobirotunda," or icosidodecahedron (one of the Archimedean solids), by inserting a deca ...
().
Formulae
The following
formula
In science, a formula is a concise way of expressing information symbolically, as in a mathematical formula or a ''chemical formula''. The informal use of the term ''formula'' in science refers to the general construct of a relationship betwee ...
e for
volume and
surface area
The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc ...
can be used if all
faces are
regular, with edge length ''a'':
[ Stephen Wolfram,]
Elongated pentagonal orthobirotunda
from Wolfram Alpha. Retrieved July 26, 2010.
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References
External links
*
{{Polyhedron-stub
Johnson solids