I'm working to complete the English version as soon as possible. A little patience, please.

You might want to take a look at the Spanish site, though, it'll give you a pretty good idea of what this is going to be.

Sonobè module

PHizz

Angular modules
(or edge modules)

Triangular modules
 Stellated Polyhedra

Kusudamas

Planars

Other modules

Polypolyhedra & structures

PHIzz module
(see models)

60º Angular module  (F. Ow)
(see models)

Módulo Triangular equilátero

Kusudama Bow a la carte

Scaled Octahedron

Flat Sonobe (T. Fuse)

The Georgia O'Keefe Set

Tess Star

  TSU - THE SIMPLE UNIT

Created by Chuck Esseltine, it may be found in  http://www.anniefolds.com/diagrams.htm. 

Typical for the "cap" on the points. And it doesn't seem so simple to me, actually, but the models worked on double sided paper present an interesting strip pattern.

  TRI-MODULe

Created by Nick Robinson (link to the diagram), it is used in all types of stellated models and others. Check Michal Kosmulski's  beautiful pieces. He has built a Sierpinski fractal triangle/tetrahedron with it. And also a version of Koch's snowflake (another fractal)

  EQUILATERAL TRIANGLE

I learned it from Bennet Arnstein's (3D Geometric Origami) and in this page are my instructions with photos (also in English). It's very simple and has the same properties as other more complex modules (like the Double-Pocket Equilateral Triangle by Tomoko Fusè, with 20- step instructions!) and as you can see in the photos, it's most decorative.

A word of warning: stellated polyhedra with spikes of 5 or more sides need glueing (the radius is too wide and the points tend to open), but in the 3 or 4-side spikes no glue is required.

  MM Simple Isosceles UNIT

Another triangular module to build mostly stellated models.

  OXIMoDULe

An interesting variation of the PHIzz module created by Michal Kosmulski. His website contains instructions to fold and assemble several models. 

  MÓDULO DE BASES

Created by Lewis Simon, though it's considered generally a  'classic'. I learned ir from a Russian Kusudama book. My instructions are here. It's a vertex modules and with it you can make stars and polyhedra of 4 vertex (cubeoctahedron and rhombicuboctahedron), though I found a way to make a cube.

  UNIDAD PENTAGONAL

Created by Helena Verrill (www.math.lsu.edu/~verrill/origami) makes for a very elegant dodecahedron. Her page has very good folding instructions.

  KANTENMODUL

Created by Carmen Sprung. It is an edge module with great possibilities and the diagram is in http://www.origamiseiten.de/diagrams/kmodul02.pdf.

Don Albert has photos of many polyhedra built with it..

  RAPIDO

Don Albert (http://don.albert.free.fr/)  has some very interesting modules which he calls "rapido". The instructions are just a few not very clear photos.

  CURLERS

Con este módulo se construyen diversas piezas con estructura de poliedros. Constituye una especialidad por sí mismo. La técnica de montaje exige enrollar las puntas del módulo entre sí. He visto en fotos de la British Origami Society Convention (Gallery 9) unas imágenes espléndidas de sus posibilidades. Mis instrucciones están aquí, y en esta página (http://origami.paginas.sapo.pt/index.htm) hay una secuencia de instrucciones en fotos muy detallada.

  COMPOUND MODULE (t. fUSE)

I learned it from a photocopy of a book in Japanese... This unit has grest potential and I haven`t finished exploring its possibilities. The diagram, in a printer friendly version,  is here and the photos of the models and bilingual assembly instructions are  in this page. 

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  ESTRUCTURA DE HEXAEDROS

Construída con cristales o hexaedros muy simples, las instrucciones para el montaje están aquí.

  EL SISTEMA SNAP

Heimutz Strobl ha creado una suerte de "sistema de construcción" con papel al que llama Snapologia, 

Mis instrucciones para la construcción están aquí.

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