Dark Bit Factory & Gravity

ARCHIVE => Archive => Useful links => Topic started by: Jim on March 29, 2008

Title: Spidronised Polyhedra
Post by: Jim on March 29, 2008
How cool are these?
http://spidron.hu/archispidron/ (http://spidron.hu/archispidron/)

Jim
Title: Re: Spidronised Polyhedra
Post by: benny! on March 29, 2008
Weird.
Title: Re: Spidronised Polyhedra
Post by: Pixel_Outlaw on April 01, 2008
These remind me a bit of the good old rubber cube effect I've seen in some demos.
Title: Re: Spidronised Polyhedra
Post by: Clyde on July 08, 2009
How do you make these?
Title: Re: Spidronised Polyhedra
Post by: Jim on July 08, 2009
Instructions are here http://www.szinhaz.hu/edan/SpidroNew/ (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
Title: Re: Spidronised Polyhedra
Post by: Shockwave on July 08, 2009
I *think* I get the concept.
Title: Re: Spidronised Polyhedra
Post by: Jim on July 08, 2009
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
Title: Re: Spidronised Polyhedra
Post by: Shockwave on July 08, 2009
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.
Title: Re: Spidronised Polyhedra
Post by: Clyde on July 08, 2009
Perhaps it's along the lines of how a spider makes it's web.
Title: Re: Spidronised Polyhedra
Post by: spitfire on July 08, 2009
Its like crumpling paper for origami

(http://farm4.static.flickr.com/3608/3346423124_980daa8ef7.jpg?v=0)
Title: Re: Spidronised Polyhedra
Post by: Shockwave on July 08, 2009
Its like crumpling paper for origami

(http://farm4.static.flickr.com/3608/3346423124_980daa8ef7.jpg?v=0)

There must be a mathematical way to produce it though Spitfire.
Title: Re: Spidronised Polyhedra
Post by: ferris on July 09, 2009
Very nice :)
Title: Re: Spidronised Polyhedra
Post by: Clyde on July 09, 2009
I found this Spidron Work Book (http://www.szinhaz.hu/edan/SpidronWorkBook/)
You may need to squint a bit to read it.
Title: Re: Spidronised Polyhedra
Post by: Shockwave on July 09, 2009
It says a little bit about deforming it in space to produce the crumpled shapes but it's not going into enough depth..