Mathematical Objects


Models of this type are also automatically listed in: abstract, geometric More restrictive types: balls and polyhedra, cubes and cuboids, fractal, intersecting planes, modular balls and polyhedra, modular cubes and cuboids, modular fractal, modular intersecting planes, other modular mathematical object, other modular polyhedron, modular spiky balls, modular woven polyhedron, other mathematical object (non-modular), other mathematical object, other polyhedra, recursive non-tileable model, single-sheet cubes and cuboids, other single-sheet polyhedra, spiky balls, recursive and periodic tessellations, recursive tessellation, woven polyhedron

Models representing a wide array of simple mathematical objects.

This page lists folding instructions for models of a single type. You might be interested in the models themselves instead.
Cut Surfaces of a Cube (CFW 339)

Cut Surfaces of a Cube (CFW 339)

Instructions for the model can be found in Fujimoto’s books: Twist Origami I, page 67 Invitation to Creative Playing wit...

When Rebecca Met Shuzo 2 (Opus 702)

When Rebecca Met Shuzo 2 (Opus 702)

A crease pattern can be found on Robert Lang’s site. It can be constructed by pure origami methods and is relatively simple t...

Regular Octahedron (CFW 246)

Regular Octahedron (CFW 246)

This model is folded from a bronze rectangle (1:√3). Instructions can be found in following books by Fujimoto, and start with...

Fujimoto Cube

Fujimoto Cube

Instructions for the model were published in many books and magazines, including: Invitation to Creative Playing with Orig...

Hypar (Hyperbolic Paraboloid)

Hypar (Hyperbolic Paraboloid)

Instructions Step-by-step instructions can be found in the Bauhaus Foundation Course instructional booklet by Eric Gjerde, an...

Hydrangea Tessellation

Hydrangea Tessellation

You can fold this tessellation based on instructions for folding a single molecule. There is also a video tutorial by Sara Ad...

Hydrangea

Hydrangea

You can find folding instructions for the Hydrangea (including a number of variants) in Fujim...

Clover Folding

Clover Folding

There is a video tutorial about Clover Folding, made by Sara Adams.

Hydrangea Icosahedron

Hydrangea Icosahedron

For folding Hydrangea Icosahedron (and many other shapes as well), you can just follow the instructions for Hydrangeaa Cube, ...

Hydrangea Cube

Hydrangea Cube

The idea of connecting several Hydrangeas occurred independently to me and earlier to Meenakshi Mukerji. If you do not yet kn...

Clover Folding Lookalike

Clover Folding Lookalike

Clover Folding Lookalike looks very similar to Fujimoto’s Clover Folding but has a significantly different structure.

Möbius Strip IV (CLU)

Möbius Strip IV (CLU)

To fold this model, use a strip with about 1:15 proportions and fold notches according to CLU instructions. Make two notches ...

Six Intersecting Pentagrams (SIP)

Six Intersecting Pentagrams (SIP)

Instructions for this model are available in an OrigamiUSA article which also contains very interesting details about this mo...

Makalu

Makalu

Introduction and folding instructions online and in print Robert J. Lang’s Makalu (Six Intersecting Pentagons) is an interest...

Name Plate

Name Plate

You can use this model to print your name on it (templates available below) and put it on your desk or for adding descriptions to your models at an origami c...

Bumpy Octahedron

Bumpy Octahedron

Front side Bumpy Octahedron is folded from a single sheet of 2:1 paper. Each face is decorated with a sunken tria...

Gasherbrum

Gasherbrum

Introduction and folding instructions on author’s page Gasherbrum (Four Interesecting Triangles) is one of the models in Hima...

Annapurna

Annapurna

Introduction and folding instructions on author’s page Annapurna (Ten Interesecting Triangles) is one of the models in Himala...

Umbrella Dodecahedron

Umbrella Dodecahedron

Instructions for the model were published in Meenakshi Mukerji’s book, Marvelous Modular Origami, on page 54.

QRSTUVWXYZ-stars

QRSTUVWXYZ-stars

Instructions for folding the model are available online.

Poinsettia Ball

Poinsettia Ball

Instructions for the model were published in Meenakshi Mukerji’s book, Marvelous Modular Origami, on page 30.

Cosmos Ball

Cosmos Ball

Instructions for the model were published in Meenakshi Mukerji’s book, Marvelous Modular Origami, on page 18.

FIT (Five Intersecting Tetrahedra)

FIT (Five Intersecting Tetrahedra)

Tom Hull’s folding instructions Five Intersecting Tetrahedra (FIT), designed by Thomas Hull, is probably the most popular mod...

WXYZ

WXYZ

Diagrams for this model are available online.

TUVWXYZ-stars

TUVWXYZ-stars

Instructions for folding the model are available online.

STUVWXYZ-stars

STUVWXYZ-stars

Instructions for folding the model are available online.