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Johnson solid
created by
/dev/joe
(
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) by
/dev/joe
(4.2 y)
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Sat Nov 13 1999 at 14:35:49
The Johnson solids are all the
convex
polyhedra
all of
faces
are
regular polygon
s but are neither
regular
nor
semi-regular
. There are 92 of them, and they are most commonly called by the fanciful names (like
gyrobifastigium
) given to them by the
mathematician
who first documented all of them.
(
idea
) by
Rollo
(3.3 mon)
(
print
)
?
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I like it!
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2
C!
s
Mon Jun 11 2001 at 11:52:53
For Your
origami
al pleasure, I hereby present to You:
The Johnson Solids!
-APPLAUSE-
Square pyramid
Pentagonal pyramid
Triangular cupola
Square cupola
Pentagonal cupola
Pentagonal rotunda
Elongated triangular pyramid
Elongated square pyramid
Elongated pentagonal pyramid
Gyroelongated square pyramid
Gyroelongated pentagonal pyramid
Triangular dipyramid
Pentagonal dipyramid
Elongated triangular dipyramid
Elongated square dipyramid
Elongated pentagonal dipyramid
Gyroelongated square dipyramid
Elongated triangular cupola
Elongated square cupola
Elongated pentagonal cupola
Elongated pentagonal rotunda
Gyroelongated triangular cupola
Gyroelongated square cupola
Gyroelongated pentagonal cupola
Gyroelongated pentagonal rotunda
Gyrobifastigium
Triangular orthobicupola
Square orthobicupola
Square gyrobicupola
Pentagonal orthobicupola
Pentagonal gyrobicupola
Pentagonal orthocupolarontunda
Pentagonal gyrocupolarotunda
Pentagonal orthobirotunda
Elongated triangular orthobicupola
Elongated triangular gyrobicupola
Elongated square gyrobicupola
Elongated pentagonal orthobicupola
Elongated pentagonal gyrobicupola
Elongated pentagonal orthocupolarotunda
Elongated pentagonal gyrocupolarotunda
Elongated pentagonal orthobirotunda
Elongated pentagonal gyrobirotunda
Gyroelongated triangular bicupola
Gyroelongated square bicupola
Gyroelongated pentagonal bicupola
Gyroelongated pentagonal cupolarotunda
Gyroelongated pentagonal birotunda
Augmented triangular prism
Biaugmented triangular prism
Triaugmented triangular prism
Augmented pentagonal prism
biaugmented pentagonal prism
Augmented hexagonal prism
Parabiaugmented hexagonal prism
Metabiaugmented hexagonal prism
Triaugmented hexagonal prism
Augmented dodecahedron
Parabiaugmented dodecahedron
Metabiaugmented dodecahedron
Triaugmented dodecahedron
Metabidiminished icosahedron
Tridiminished icosahedron
Augmented tridiminished icosahedron
Augmented truncated tetrahedron
Augmented truncated cube
Biaugmented truncated cube
Augmented truncated dodecahedron
Parabiaugmented truncated dodecahedron
Metabiaugmented truncated dodecahedron
Triaugmented truncated dodecahedron
Gyrate rhombicosidodecahedron
Parabigyrate rhombicosidodecahedron
Metabigyrate rhombicosidodecahedron
Trigyrate rhombicosidodecahedron
Diminished rhombicosidodecahedron
Paragyrate diminished rhombicosidodecahedron
Metagyrate diminished rhombicosidodecahedron
Bigyrate diminished rhombicosidodecahedron
Parabidiminished rhombicosidodecahedron
Metabidiminished rhombicosidodecahedron
Gyrate bidiminished rhombicosidodecahedron
Tridiminished rhombicosidodecahedron
Snub disphenoid
Snub square antiprism
Sphenocorona
Augmented sphenocorona
Sphenomegacorona
Hebesphenomegacorona
Disphenocingulum
Bilunabirotunda
Triangular hebesphenorotunda
Trivia
:
The
triangular dipyramid
,
pentagonal dipyramid
,
snub disphenoid
,
triaugmented triangular prism
and the
gyroelongated square dipyramid
are the only
deltahedral
Johnson solids
.
These are
chiral
:
gyroelongated triangular bicupola
,
gyroelongated square bicupola
,
gyroelongated pentagonal bicupola
,
gyroelongated pentagonal cupolarotunda
,
gyroelongated pentagonal birotunda
.
Sources:
Polyhedra Interactive, http://polytopes.wolfram.com (shapes displayed in
Java
)
Johnson Solids, http://www.georgehart.com/virtual-polyhedra/johnson-info.html (shapes viewable in
VRML
)
printable version
chaos
gyrobifastigium
Deltahedron
archimedean solids
chiral
65537
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The Woman in the Red Dress
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origami
Melissa Johnson
Catalan solid
Hexahedron
VRML
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regular polygon
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Capitals of the World
old chestnut: where did the other square go?
Any odd number can be expressed as the difference of two perfect squares
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Homaloid
Escape Velocity
Natalie Portman
City of the Pyramids
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