# Message #861

From: Melinda Green <melinda@superliminal.com>

Subject: Re: [MC4D] Fractal cubes

Date: Wed, 10 Mar 2010 19:41:57 -0800

Chris & David,

Both of your suggestions allow for twists on elements such as a 9x9x1

slice which are not part of any sort of standard cube of any scale.

Also, twists in both of your designs have only local effects. I don’t

want to put them down because I’m actually very happy to see some folks

giving this problem some thought. While we might come up with a hard yet

solvable puzzle this way, these aspects just don’t get me excited. As

you both point out, these purely local operations are not very

fractal-like and therefore don’t exploit the fundamental nature of this

geometry.

Yes, I was thinking of interactions very much like Roice’s Magic Tile in

which portions of the geometry are not just copies of other portions but

in actual fact *are* the same bits of geometry. I was hoping to do the

same thing but with in scale as well as in position, but maybe that’s

not the best approach. At least it didn’t seem to be generating anything

terribly new.

Well here is yet another possible design that I would like to offer: A

click on a given sticker will affect all twistable 3^n x 3^n x 3^(n-1)

faces that contain that sticker. IOW, clicking on a sticker will twist

the face of its level 1 void cube as well as the level 2 cube that

contains it, and then level 3 cube that contains that one, and so on up

to some maximum (probably ending right there). If we don’t allow twists

on "inner" stickers, then not all faces in every such chain will be

twistable. I’m fine with whichever design makes more sense. This gives a

puzzle that is sort of a combination of local and fractal.

Thoughts?

-Melinda