Ceramic models of polyhedra
Sigfrid G. Fregert, M.D., Ph. D
Emeritus Professor, Lund University
Address: Mellanvångsvägen 5, S-223 55 Lund,
Art . Polyhedra constructions, Truncation of
Polyhedra: Definition, History, Nature & Science, Archaeology, Exhibitions, References
regular polyhedra; The Platonic solids
regular polyhedra acc. to Leonrdo
Tetrahedron. Four triangles.
(hexahedron). Six squares. Symbilized earth
Octahedron: Eight triangles.
Dodecahedron: 12 pentagons.
Symbolized aether,i.e. the
universe with sun, planets and fixstars.
Icosahedron: 20 triangles.
small stellated dodecahedron with 12 pentagrams acc.
to Kepler and Poinsot. Euler´s theorem
The great stellated dodecahedron with 12 pentagrams acc to Kepler and Poinsot
dodecahedron with12 pentagons acc. to Poinsot. Euler´s theorem
The great icosahedron
with 20 triangles acc. to Poinsot
Archimedes´ 13 semi-regular polyhedra
semiregular polyhedra acc.
Four semiregular polyhedra. Truncated cuboctahedron, icosidodecahedron,
Four semiregular polyhedra. Snub cube, rhombicosidodecahedron, truncated icosidodecahedron,
Regular and semi-regular polyhedra with the same edge
Non-convex polyhedra ( 1 , 2 )
Octahedron is the dual to
cube. Cube is dual to octahedron. Tetrahedron is dual to tetrahedron.
Dodecahedron is dual to icosahedron.Icosahedron
is dual to dodecahedron
Prisms and antiprisms
Prisms: Tri - to octa-gonal prisms, acc. to Kepler
Antiprisms: Tri-to octa-gonal antiprisms , acc to Poinsot
Combinations of regular polyhedrons ; Compound polyhedra
Combinations of regular polyhedra: Tetrahedron / octahedron, cube / tetrahedron,
Combinations of regular polyhedra: Tetrahedron / dodecahedron, octahedron /
dodecahedron, dodecahedron / dodecahedron
Combinations of regular polyhedra: Icosahedron /
dodecahedron, cube/ icosahedr
Combinations of regular polyhedra: Tetrahedron / octahedron ,
cube / tetrahedron , cube / octahedron
Stella octangula,two tetrahedra, acc. to Kepler
the five Platonic solids
Live Stella octangula
Rhombtricontahedron and rhombdodecahedron
Four rhombic polyhedra
and its derivatives
Closest packing of polyhedra
Closest packing of truncated octahedra
Closest packing of rhombic
Closest packing of 13 spheres
in an icosahedron
Closest packing of 12 spheres
in a cuboctahedron
Divided polyhedra (Edge = E)
( 1, 2 )
(Cube) ( 1, 2, 3, 4, 5, 6, 7 )
( 1, 2 )
of spheres ( 1, 2, 3)
in nature and science
Rhombic dodecahedron with 12
rhombi.(Diagonals 1/ Ö2) Rhombic tricontahedron with 30 rhombi (Diagonals 1/F)
Bee´s cells, rhombic
dodecahedra with hexagonal openings
structure of bee´s cells, pomegranate pips and garnet
Mineral crystal cubes
Protein virus as icosahedra, twins and single
Enzyme as rhomb dodecahedron
Poliovirus. Combination of icosahedron and dodecahedron
Polyhedra in beer foam to
Truncated icosahedron. C-60
fullerene,12 pentaons,20 hexagons.
modified on 13 januari 20012005-11-15