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MODULAR ORIGAMI IN ARGENTINA

Diagrams & Instructions

Laura Azcoaga - MAIL

             El sitio en Español  

 


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.

 

I have included here a number of diagrams of my own, and many links to those of others'. In some cases, I have added only notes that somehow express my own experience with them and I thought might be of use. My diagrams are B&W for easy printing (and they are in Spanish when words are needed!)

 

 


THE SonobÈ MODULE

The most versatile of all modules and possibly the first to be created. Though quite recent (the 1960s), its origins are a bit foggy. There's more information in the Notes.

 

  FOLDING

There are many folding sequences and variations. My diagram describes the simplest. The links below refer to other possibilities that result in different decorative effects or allow for other assembly methods.

MM variations: Meenakshi Mukhopadhyay offers 7 variantions to achieve very interesting final effects.

Another: This is the one I learned first, described by Stephan Lavavej. It has an extra fold that reinforces the peaks and facilitates assembly. His page (http://nuwen.net/poly.html) has clear folding instructions. 

Double pocket: this fold produces pockets on both faces, something that allows assembly of other pieces (several are explained in this same page): diagram module 1

Lateral pocket:  Tomoko Fusè has folded a number of variations. This one in particular (plain edge unit) works like the angular units, the diagrams are copyrighted though...

With double papel: At Don Albert's site (http://don.albert.free.fr/construction_ab_8.html/). Apparently in this way you can open it up and change the looks of the finished piece. There are no instructions, but the photo seems to indicate it has lateral pockets.

 

  PolYHEDRA

Except for the cubes, most polyhedra built with the sonobè are stellated forms. 

Crystal - or hexaedron, (also called "Toshie's Jewel") is the smallest possible construction with 3 modules: a peak folded and closed on itself. The P&O Origami pages have assembly instructions.

Cubes - Using the sonobè you can make 3 different cubes:

  • 6 modules - you can find here a good set of instructions.

  • 12 modules - ourside or inside assembly produces checked or triangular faces.

               

  • 24 modules - This is the one used to make more complex combinations. I'm preparing instructions on the joining method.

Octahedron - made with 12 modules

Icosahedron - The best assembly instructions are in Helena Verrill's pages.

Cuboctahedron -As far as I know, I discovered this piece myself. The instructions provide photos and detailed assembly directions (not yet online, working on it).

Spheroids - They are larger polyhedra, like the buckyball (C 60 molecule), the Truncated Icosahedron (football) and others.

Epcott Ball (Truncated Icosahedron) - It may well be the first buckyball (270 units) built. The instructions are here: http://stl.caltech.edu/poly.shtml

  structurEs

I include here complex pieces, irregular polyhedra, fractals and other structures you may build with the Sonobè.

FRACTAL CUBE: Also called Menger Sponge. My assembly instructions are   here. They may be level 1 (72 modules), level 2 (some 1000 modules...) and 3 (app. 16.000 modules!!!)


Fractal cubes level 1

 

OTHER POLYHEDRA: the sonobè lends itself to all sorts of experiments amd constructions. Here are some I found in Halina Narloch's site


These I made myself:

The 24-unit cube may be connected to build the following compounds:

20 cubes in pentagonal rings

 

 

 

ring of 5 cubes

 

 

 

2 cubes

 


  inverTED ASSEMBLY

All the polyhedra may be assembled keeping the pockets inwards and with plain faces outwards. 

If you invert the direction of the cuspids (i.e. point inwards, which you can't do with the cubes), what you get is a series of models with stellated effects. On the whole these models (like most assembled with inward pockets) look much better when glued.  The one in the picture isn't glued, and there are large holes at the vertex.

Icosaedro con cúspides hacia adentro

Sonobè icoshedron with inverted assembly and inward cuspids,

 


  FLAT ConstrucTIONS

Sonobe modules lend themselves to play creating tilings and mosaics, either completely flat or alternating with peaks or other forms. 

The Zig-ZAg o PHizz UNIT

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  FOLDING

This module was created by Tom Hull. His webpage (http://web.merrimack.edu/hullt/OrigamiMath.html) contains detailed instructions for folding and assembly. 

 

My instructions are here

  POLYHEDRA & OtHER structurEs

DODECAHEDRON:  The classic model built with this unit. It takes 30 modules and there are excellent instructions (in Portuguese) in http://origami.paginas.sapo.pt/index.htm, besides Tom Hull's page  (http://web.merrimack.edu/hullt/OrigamiMath.html). If folded from large squares (21 x 21 cm, from A4 printer paper), you can make wonderful lampshades that look great.

TORII: "Torus" is the mathematical name of doughnut-shaped rings. The zig-zag modules allows construction of different sizes. The construction maps can be found in  Tom Hull's page:

FRACTAL STRUCTURES: Michal Kosmulski has created Klien bottles and other fractal and topological structures using this unit. The are several pictures in his excellent page.

 

 

ANGULAR MODULES

I call 'angulars' those edge modules that are folded with a certain angle. They are most versatile and besides replicating models, you can explore other creative varieties or even irregular polyhedra. Triangular modules are listed apart.

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  Francis OW's MODULES

  

In his page http://web.singnet.com.sg/~owrigami/index.html, Ow offers diagrams for his 120º and 135 º modules, which may be used to build almost all polyhedra. 

Jim Plank uses another module designed by OW (60º) for his tetrahedra (FIT). The diagram  is here. 

 

 

This truncated tetrahedron has also been built with the 60º module, folded from a square paper. It takes 24 modules for the hexagons and 18 for the triangles and edges.

  PENULTIMATE

Created by Robert Neale and explained by Jim Plank in  this page, it allows edge modules of 4 different angles, and consequently you can produce all sorts of polyhedra. He doesn't explain how to assemble the modules, so I'm going to put instructions online soon... soon.

With these modules, Michal Kosmulski has built some fantastic compounds of polyhedra.

  EASY 45º MODULE


These 2 icosahedra are built with the same module
folded outwards and inwards. 

I created it adapting Ow's 60º module. It's VERY simple, but needs glue to hold together. You can build cubes and several other polyhedra. I have yet to explore all its possibilities. May substitute Fusè's edge module (which does not require glue)... My instructions  are here.

   

 

 


       KUSUDAMAS               

Some people consider kusudamas the direct ancestors of modular origami. They are balls made of individual faces assembled or glued together. They are ususally cubes or dodecahedra, and they are most decorative. I have barely scratched the surface of this specialty, but here are references to several sites with lots of information and detailed instructions.

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  RUSSIAN SITES

It seems that Russians call every modular polyhedron 'kusudama'. In the instructions below there are several models that are modular variations, not kusudamas in the strict sense of the word.

A FULL BOOK OF DIAGRAMS: In this site (http://show.7ya.ru/private.aspx?RubrID=63154) there is complete book (scanned) with  24 models. The diagrams are clear and there is a section with the symbols at the beginning. 

Libro de kusudamas   Libro de kusudamas

KUSUDAMAS.NAROD - http://kusudamas.narod.ru/index.html 
Last time I visited it, there were instructions for  29 models, several just versions of models by Meenakshi, Carmen Sprung's kantenmodul , Mamino's  Facilissimo and several planars (Blinikos and others). 

Kusudamas rusos     Kusudamas rusos      Kusudamas rusos

 

Yuri & Katrin Shumakov - (http://www.oriland.com/)
Though not a Russian site, the Shumakovs seem to contribute regularly to these pages and their Oriland offers several kusudama models and also stars that may be used as kusudama faces.

Kusudamas Oriland         Kusudamas Oriland

 

 

 

 

  JAPANESE SITES

MIO TSUGAWA - http://hp1.tcbnet.ne.jp/~kanimiso/zu/zu.html 
This beautiful website has instructions in English and excellent diagrams for several classical kusudamas. They're very attractive models and it's hard to resist the itch to start folding right away... In the Japanese part there are several other models.

 

Kusudamas de Mio Tsugawa    Kusudamas de Mio Tsugawa    Kusudamas de Mio Tsugawa

 

  My Own 

(constructions & instructions)

KUSUDAMA VENUS

I really don't know whether this model has an author or it's traditional. I'm a bit lazy, so my model is slightly different and needs fewer units.

Here are my instructions

The page is a bit heavy, so if you're working with a modem connection (like me), be patient.

 

 

 

 

 


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