Models of Regular Polyhedra
One of the most common forms of geometric model-making
involves construction of the five Platonic solids, and of various
The most common construction methods involve folding
and gluing together cut-out paper polygons,
but some of these model-builders have carved their polyhedra from solid
- Bamboo C.O.R.P.S.. Durable bamboo
models of the Platonic and Archimedean polyhedra, offered for sale.
- Beezer's PlayDome.
Rob Beezer makes truncated icosahedra out of old automobile tires.
- Breaking Bonds.
Geometric sculpture by Stephen Luecking combining buckyball, hexagon,
and amorphous shapes of carbon molecules.
Business card polyhedral origami.
- Andrew Crompton.
Grotesque geometry, Tessellations, Lifelike Tilings, Escher style drawings,
Dissection Puzzles, Geometrical Graphics, Mathematical Art.
Anamorphic Mirrors, Aperiodic tilings, Optical Machines.
- Die-cast metal polyhedra
available for sale from Pedagoguery Software.
melon and other fruit
polyhedra, by Vi Hart.
dodecahedron. Custom-made for Clive Tooth by Bob Aurelius.
- High school
Kerry Stefancyk, Allison Cahill, and Jessica Smith make polyhedral
models out of stained glass.
- Interlocking puzzle pieces and other geometric toys.
- Jovo Click 'n Construct.
Plastic click-together triangular, square, and pentagonal tiles for
building models of polyhedra and polygonal tilings.
Includes a mathematical model
showing examples of shapes constructable from Jovo.
- Landry Art,
Escheresque tessellations, and balsa and paper polyhedra,
including some prints, t-shirts, and models available for purchase.
Lechner's Sculptures. Lechner makes geometric models from wood,
water, plexiglass, and steel.
- Materialized Mathematical
Jan de Koning exercises his furniture-making skills by making
wood, plastic, stone and steel polyhedra.
pie-cosahedron. Turkey Tek makes geometric models out of pecan pie.
Stainless steel 3d model of the 24-cell (one of the six regular
polytopes in four dimensions), by Adrian Ocneanu, installed as a
sculpture in the Penn State Math Department. Includes also a shockwave
flythrough of the model.
- Origami polyhedra. Jim Plank makes geometric constructions by
folding paper squares.
John Vonachen uses laser cutters and spray paint to make and sell paper
models of polyhedra, stellated
polyhedra, polyhedral complexes, Sierpinski tetrahedra, etc.
- The pavilion of polyhedreality.
George Hart makes geometric constructions from coffee stirrers and
dacron thread. Includes many pointers to
related web pages.
George Olshevsky makes and sells polyhedra from colored cardstock.
Ulrich Mikloweit makes polyhedral models out of colored typewriter
paper, cut into lace so you can see the internal structure.
plaited with paper strips,
H. B. Meyer.
See also Jim
Blowers' collection of plaited polyhedra.
solids. Ray-traced images by Tom Gettys,
and a primer on constructing paper models.
- Polyhedron man.
Nice article from Ivars Peterson's Mathland about George Hart and his
- Rhombic triacosiohedron. Pretty model of
a nonconvex genus-11 polyhedron with 300 congruent faces.
polyhedron models, made with the help of his program
- Snub cube and dodecahedron.
Rob Moeser makes geometric constructions by carving broccoli stalks.
- Stained glass
icosidodecahedron and rhombicosidodecahedron,
Helen & Liam Striker.
Art-deco paper models of stellated polyhedra, by
- 30 computers.
Forrest McCluer makes polyhedral sculptures out of discarded electronics.
icosahedral symmetry. Explains why you might want to use a machined
aluminum buckyball as a gravity-wave detector...
Nano-Octahedron. Ned Seeman makes polyhedra out of DNA molecules.
- Tune's polyhedron models.
Sierpinski octahedra, stellated icosahedra, interlocking
zonohedron-dissection puzzles, and more.
tensegrity sphere. Jim Leftwich makes polyhedra out of dowels and
- Unfolding polyhedra.
A common way of making models of polyhedra is to unfold the faces into a
planar pattern, cut the pattern out of paper, and fold it back up.
Is this always possible?
- Walt's toy
box. Walt Venables collects geometric toys, and uses them to help
design geodesic domes.
Magnus Wenninger, OSB, mathematician, builder of polyhedra.
- Wooden ball-and-stick models of Archimedean solids,
offered for sale by Dr. B's Science Basics.
polyhedra from Japan (but with English explanations). And more, in Japanese.
world's largest icosahedron. Jason Rosenfeld makes polyhedra
out of ten foot poles and shark fishing line.
- Vedder Wright
makes geometric models out of plastic forks.
From the Geometry Junkyard,
and recreational geometry pointers.
Send email if you
know of an appropriate page not listed here.
from a common source file.