Geometria

Páginas: 12 (2762 palabras) Publicado: 2 de mayo de 2012
Paper Models of Polyhedra
Gijs Korthals Altes

Polyhedra are beautiful 3-D geometrical figures that have fascinated philosophers, mathematicians and artists for millennia

Copyrights © 1998-2001 Gijs.Korthals Altes All rights reserved . It's permitted to make copies for non-commercial purposes only email: gijs@korthals.altes.net

Paper Models of Polyhedra
Platonic Solids DodecahedronCube and Tetrahedron Octahedron Icosahedron Archimedean Solids Cuboctahedron Icosidodecahedron Truncated Tetrahedron Truncated Octahedron Truncated Cube Truncated Icosahedron (soccer ball) Truncated dodecahedron Rhombicuboctahedron Truncated Cuboctahedron Rhombicosidodecahedron Truncated Icosidodecahedron Snub Cube Snub Dodecahedron Kepler-Poinsot Polyhedra Great Stellated Dodecahedron SmallStellated Dodecahedron Great Icosahedron Great Dodecahedron Other Uniform Polyhedra Tetrahemihexahedron Octahemioctahedron Cubohemioctahedron Small Rhombihexahedron Small Rhombidodecahedron S mall Dodecahemiododecahedron Small Ditrigonal Icosidodecahedron Great Dodecahedron Compounds Stella Octangula Compound of Cube and Octahedron Compound of Dodecahedron and Icosahedron Compound of Two Cubes Compoundof Three Cubes Compound of Five Cubes Compound of Five Octahedra Compound of Five Tetrahedra Compound of Truncated Icosahedron and Pentakisdodecahedron

Other Polyhedra Pentagonal Hexecontahedron Pentagonalconsitetrahedron Pyramid Pentagonal Pyramid Decahedron Rhombic Dodecahedron Great Rhombihexacron Pentagonal Dipyramid Pentakisdodecahedron Small Triakisoctahedron Small Triambic IcosahedronPolyhedra Made of Isosceles Triangles Third Stellation of the Icosahedron Sixth Stellation of the Icosahedron Seventh Stellation of the Icosahedron Eighth Stellation of the Icosahedron Ninth Stellation of the Icosahedron Final Stellation of the Icosahedron Prism and Antiprism Triangular Prism Pentagonal Prism Pe ntagonal Antiprism Triangular Prism Octagonal Prism Octagonal Antiprism PentagrammicPrism Pentagrammic Antiprism Hexagrammic Prism Hexagrammic Antiprism Twisted Rectangular Prism Kaleidocycles Hexagonal Kaleidocycle Octagonal Kaleidocycle Decagonal Kaleidocycle Other Paper Models Cylinder Tapered Cylinder Cone Special Cones "Matryoska house" "Matryoska house" 50% Globe Chevaux-de-frise

Dodecahedron

1 3 7 9. 2 12 10 8 5 4 6. 11

Dodecahedron

Dodecahedron

CubeTetrahedron

4 5 1 3

Cube

2

6

3
2

4
Tetrahedron

1

Octahedron

Icosahedron

Cuboctahedron

Icosidodecahedron

Truncated Tetrahedron

Truncated Octahedron

Truncated Cube

Truncated icosahedron

Truncated dodecahedron

Rhombicuboctahedron

Truncated cuboctahedron

Rombicosidodecahedron

Truncated Icosidodecahedron

Snub cube

Snubcube Right-handed

Snub dodecahedron

Snub dodecahedron Right-handed

Small Stellated Dodecahedron

On this page a model out of one piece On the next pages a model out of six pieces. Fold the long lines backwards fold the short lines forwards

1

2

3

4

5

6

Octahemioctahedron
type 1 type 2 7

8

13

11

5

12

6

2

10

1

3

4

14

13 Cubohemioctahedron

Small Rhombidodecahedron
(small version) Fold the dotted lines forwards Fold the other lines

Small Rhombidodecahedron
(large version) Fold the dotted lines forwards Fold the other lines

A
B

F

C

E

D

B

A

C

A

D

A

E

A

F

A

Small dodecahemiododecahedron

Folds the lines between the triangles forwards. Folds the otherlines backwards.

Great Stellated Dodecahedron made out of one piece of paper. Cut the lines between the long and the short sides of the triangles. Fold the long lines backwards and fold the short lines forwards.

Great Stellated Dodecahedron made out of two pieces of paper. Cut the lines between the long and the short sides of the triangles. Fold the long lines backwards and fold the short...
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