# Mathematical Objects

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.

## Truncated Octahedron with Square Faces Concave (CFW 255)

Instructions for this model can be found in Shuzo Fujimoto’s books: Solid Origami, page 43 (CP) Invitation to Creative P...

## 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...

## Octahedron with Concave Faces (CFW 226)

Instructions for this model can be found in Shuzo Fujimoto’s books. It is folded from a 2:1 rectangle, but instructions start...

## 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)

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

## Fujimoto Cube

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

## Stacked Whirlwind Molecule / Tessellation

This design is a fractal extension of the regular Whirlwind Tessellation, which uses an 8×8 grid. The fractal molecule is fol...

## Hypar (Hyperbolic Paraboloid)

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

## Hydrangea Tessellation

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

## Lucky Star Fractal

Below you can find instructio...

## Hydrangea

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

## Lucky Star Fractal Tessellation

In order to fold this model, you can follow instructions for the single molecule. You can use...

## Hydrangea Icosahedron

For folding Hydrangea Icosahedron (and many other shapes as well), you can just follow the instructions for Hydrangeaa 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 looks very similar to Fujimoto’s Clover Folding but has a significantly different structure.

## Hydrangea with Leaves

A video tutorial for the model is available on YouTube.

## 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)

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

## Makalu

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

## Down the Rabbit Hole (aka Hill/Bump)

This is a model independently designed by me and other people, including Matt Humberstone who published a Crease Pattern of h...

## 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

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

## Gasherbrum

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

## Annapurna

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

## Umbrella Dodecahedron

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

## QRSTUVWXYZ-stars

Instructions for folding the model are available online.

## Poinsettia Ball

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

## Cosmos Ball

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

## FIT (Five Intersecting Tetrahedra)

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

## WXYZ

Diagrams for this model are available online.

## TUVWXYZ-stars

Instructions for folding the model are available online.

## STUVWXYZ-stars

Instructions for folding the model are available online.

## Blintz Icosidodecahedron

Model diagrams are available online.