Reciprocal Polyhedra of the Thirteen Archimedean Solids
Calling Sequence
Parameters
Description
Examples
TriakisTetrahedron(gon, o, r)
TetrakisHexahedron(gon, o, r)
TriakisOctahedron(gon, o, r)
PentakisDodecahedron(gon, o, r)
TriakisIcosahedron(gon, o, r)
RhombicDodecahedron(gon, o, r)
RhombicTriacontahedron(gon, o, r)
TrapezoidalIcositetrahedron(gon, o, r)
TrapezoidalHexecontahedron(gon, o, r)
HexakisOctahedron(gon, o, r)
HexakisIcosahedron(gon, o, r)
PentagonalIcositetrahedron(gon, o, r)
PentagonalHexacontahedron(gon, o, r)
gon
-
the name of the polyhedron to be created
o
point
r
positive number
The functions are to define the reciprocal polyhedra of the thirteen Archimedean solids where o is the center of the polyhedron, and r the mid-radius.
To access the information relating to these particular type of polyhedra, use the following function calls:
center(gon)
returns the center of gon.
faces(gon)
returns the faces of gon, each face is represented
as a list of coordinates of its vertices.
form(gon)
returns the form of gon.
radius(gon)
returns the mid-radius of gon.
schlafli(gon)
returns the Schlafli symbol of gon.
vertices(gon)
returns the coordinates of vertices of gon.
withgeom3d:
Define a trapezoidal icositetrahedron with center (1,2,3), radius of the mid-sphere 3
HexakisIcosahedront,pointo,1,2,3,3
t
Access information relating to the tetrahedron t:
coordinatescentert
1,2,3
formt
HexakisIcosahedron3d
radiust
3
schlaflit
dual_t3,5
Plotting:
drawt,style=patch,lightmodel=light3
See Also
geom3d[duality]
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