Spidronised Polyhedra

[Jim]

How cool are these?
http://spidron.hu/archispidron/

Jim

[benny!]

Weird.

[Pixel_Outlaw]

These remind me a bit of the good old rubber cube effect I've seen in some demos.

[Clyde]

How do you make these?

[Jim]

Instructions are here http://www.szinhaz.hu/edan/SpidroNew/, but I'm afraid they lose me half way through.

By the way, check out their front page for their latest geometric gorgeousness.

Jim

[Shockwave]

I *think* I get the concept.

[Jim]

I can see the equilateral/isosceles triangle thing making the flat spidron shape.  And I can see how 4 of them could tile to make a square (and hence how you could map the 6 faces of a cube).  And how 5 could make a pentagon, etc, and hence how you could map the faces of lots of polyhedra with those shapes.  But I don't get how the edges of the original shape are then folded to get the wonderful rose-shaped solids.

Jim

[Shockwave]

What I am thinking is that a really beautiful infinite zoom could be done using this technique.

The equilateral / isosceles thing is simple enough, that's as far as I had got with it too.

[Clyde]

Perhaps it's along the lines of how a spider makes it's web.

[spitfire]

Its like crumpling paper for origami

[Shockwave]

Its like crumpling paper for origami

There must be a mathematical way to produce it though Spitfire.

[ferris]

Very nice

[Clyde]

I found this Spidron Work Book
You may need to squint a bit to read it.

[Shockwave]

It says a little bit about deforming it in space to produce the crumpled shapes but it's not going into enough depth..