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Papercut Shape Library

PaperCut home page on SourceForge.net
Stellated icosahedron

I've used links to MathWorld because they are the most useful to me, with formulae and rotatable images. I'm planning to update this page with shapes that will soon be added. Check back soon. Email me with requests for shapes, and if you can find it on MathWorld please include a link from MathWorld. Thanks!

Platonic Solids (MathWorld)

Name
Other names
Faces Supported by version How to create
Tetrahedron 4 All From menu: Shape / Create / Tetrahedron
Cube 6 1.0.288 From menu: Shape / Create / Cube Gallery link
Octahedron 8 All From menu: Shape / Create / Octahedron
Dodecahedron 12 1.0.288 From menu: Shape / Create / Dodecahedron Gallery
Icosahedron 20 All From menu: Shape / Create / Icosahedron Gallery

Geodesic shapes (MathWorld)

Name
Other names
Faces Supported by version How to create
Tetrahedron 2 to 4 frequency 16 to 64 All From menu: Shape / Create / Tetrahedron then Shape / Geodesic
Octahedron 2 to 4 frequency 32 to 128 All From menu: Shape / Create / Octahedron then Shape / Geodesic
Icosahedron 2 to 4 frequency 80 to 320 All From menu: Shape / Create / Icosahedron then Shape / Geodesic 3-frequency with cumulation in gallery

Archimedean Solids (MathWorld)

Name
Other names
Faces Supported by version How to create
Truncated Tetrahedron (A13) 8 1.0.293 From menu: Shape / Create / Archimedean / Truncated Tetrahedron Gallery link
Cuboctahedron (A1)
heptaparallelohedron
14 1.0.289 From menu: Shape / Create / Archimedean / Cuboctahedron Gallery entry
Truncated Octahedron (A12) 14 1.0.289 From menu: Shape / Create / Archimedean / Truncated Octahedron Gallery entry
Truncated Cube (A9) 14 1.0.293 From menu: Shape / Create / Archimedean / Truncated Cube Gallery link
Small Rhombicuboctahedron (A6) 26 1.0.294 From menu: Shape / Create / Archimedean / Small Rhombicuboctahedron Gallery link
Great Rhombicuboctahedron (A3)
rhombitruncated cuboctahedron
26 1.0.295 From menu: Shape / Create / Archimedean / Great Rhombicuboctahedron Gallery link
Truncated Dodecahedron (A10) 32 1.0.295 From menu: Shape / Create / Archimedean / Truncated Dodecahedron Truncated dodecahedron in the gallery
Truncated Icosahedron (A11)
Buckyball
Soccer ball
32 1.0.291 From menu: Shape / Create / Archimedean / Buckyball Gallery link
Icosidodecahedron (A4) 32 1.0.295 From menu: Shape / Create / Archimedean / Icosidodecahedron
Snub Cube (A7)
Cubus Simus
snub cuboctahedron
38 1.0.291 From menu: Shape / Create / Archimedean / Snub cube
Small Rhombicosidodecahedron (A5) 62 Coming soon  
Great Rhombicosidodecahedron (A2)
rhombitruncated icosidodecahedron
62 Coming soon  
Snub Dodecahedron (A8) 92 Coming soon  

Kepler-Poinsot solids (MathWorld)

Name
Other names
Faces Supported by version How to create
Small Stellated Dodecahedron 60 Coming soon  
Great Stellated Dodecahedron 60 1.0.289 From menu: Shape / Create / Platonic / Icosahedron, then Shape / Stellate / Other... / 161.8% (phi)

Zonohedra (MathWorld)

Name
Other names
Faces Supported by version How to create
Rhombic dodecahedron 12 1.0.296 From menu: Shape / Create / Zonohedra / Rhombic dodecahedron gallery
Alternate method (required for 1.0.296): File / Open... / Shapes / Rhombic-dodecahedron.shp
Rhombic Triacontahedron 30 coming soon  
Escher's Solid 48 1.0.297 From menu: Shape / Create / Zonohedra / Escher's solid Gallery
Alternate method (required for 1.0.296): File / Open... / Shapes / Eschers-solid.shp
Alternate method: create rhombic dodecahedron, then Shape / Stellate / 115%

Compounds and others

Name
Other names
Faces Supported by version How to create
Triangular dipyramid
Hexahedron
6 All From menu: Shape / Create / Hexahedron
Stella Octangula
Kepler's Stella Octangula
Merkaba
24 1.0.286 From menu: Shape / Create / Compounds / Kepler's Stella Octangula
Alternate method: Shape / Create / Tetrahedron, then Shape / K-stellate / 100% gallery
Elongated square gyrobicupola
Miller's solid
Miller-askinuze solid
pseudorhombicuboctahedron

26 1.0.293

From menu: Shape / Create / Johnson / Elongated square gyrobicupola (J37)

Cube Octahedron compound 48 1.0.286

From menu: Shape / Create / Compounds / Cube Octahedron Compound (1.0.289)
Alternate method: Shape / Create / Octahedron, then Shape / K-Stellate / Other... / 70.71% gallery

Pentakis Dodecahedron 60 Coming soon  
Dodecahedron Icosahedron compound 120 1.0.286 From menu: Shape / Create / Compounds / Icosahedron-Dodecahedron compound (1.0.291)
Alternate method: Shape / Create / Icosahedron, then Shape / K-stellate / Other... / 61.80339887% (1/phi) gallery
Cube 3-Compound 120 Coming soon This will complete the set shown in Escher's Waterfall
MathWorld

 


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