WOLFRAM NOTEBOOK

WOLFRAM|DEMONSTRATIONS PROJECT

Duals of Platonic Solids

The dual
D
of a polyhedron
P
can be constructed in several different ways. One way is to take the centers of the faces of
P
as the vertices of
D
. Two vertices
u
and
v
of
D
are joined by an edge if the original faces
U
and
V
of
P
had an edge in common. The faces of
P
that met at a vertex
W
become the vertices of the polygon forming a face
w
in
D
. Other ways to construct a dual are to rotate the original polyhedron's sides by 90°, to truncate its vertices or edges, or to stellate it.
Wolfram Cloud

You are using a browser not supported by the Wolfram Cloud

Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.


I understand and wish to continue anyway »

You are using a browser not supported by the Wolfram Cloud. Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.