Cundy and Rollet are great - I started with Magnus Wenninger (and I see that Amazon are charging 120quid for copies of this book now!) and just took things to a logical and quite silly conclusion. You can see from my avatar picture I like modular origami and building shapes from paper.

 

 

I stopped with the above cos it was getting tooo silly. 180 sonobe-unit buckyball

Note that your map only covers 1/8 of 3D space, although if you introduce signs you can cover 2/8.

 

To clarify do you mean that the space behind which the paper folds is also space? as in outside of the x , y and z there is more?

 

You would have to travel to the limit of either the x , y or z to hit a wall and that is 0 on one of the other axis's. In reference to the way i conceive it, you would have to travel backwards in time to hit that wall, or else the wall is what stops you from traveling backwards in time. They are the boundries of physical reality.

 

The remaining 1/4 of the circle if placed at origin cannot pass through those boundries.

 

 

Cundy and Rollet are great - I started with Magnus Wenninger (and I see that Amazon are charging 120quid for copies of this book now!) and just took things to a logical and quite silly conclusion. You can see from my avatar picture I like modular origami and building shapes from paper.

 

 

I stopped with the above cos it was getting tooo silly. 180 sonobe-unit buckyball

 

That's awesome, did you actually build that? i can make a killer aeroplane and what is it?

Edited November 18, 201312 yr by DevilSolution

 

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That's awesome, did you actually build that? i can make a killer aeroplane and what is it?

 

Yeah - here are instructions for a simpler model. It uses sonobe (a japanese name for a small lozenge of folded paper with flaps and pockets) to make hexagons and pentagons (you can see a hexagonal shape in pale blue in the picture). Twelve pentagons all surrounded by hexagons makes a soccer ball aka buckyball aka a fullerene aka C60 aka truncated icosahedron/dodecahedron

and as you are interested in strange manifolds - this (my craze about a year ago) is a single circular sheet of paper with no cuts nor joins just a few folds.