Message #3335

From: Roice Nelson <roice3@gmail.com>
Subject: Re: [MC4D] Re: Introductions
Date: Tue, 19 Apr 2016 17:36:00 -0500

I’ve always thought of this notation as describing the stacking of cubies
(not to be confused with stickers), where in the normal Rubik’s Cube there
are 3x3x3 = 3^3 = 27 cubies.

In MagicCube4D, there are 3x3x3x3 = 3^4 = 81 hypercubies. Of course we
only see the stickers in the program.

So the notation is not obsolete in higher dimensions and naturally
describes the structure. It still makes sense if the notation refers to
size like you described for the 3x3x3 too. From a vertex, you can move 3
units in any of 4 directions (x,y,z,w) to reach another vertex.

Roice

On Tue, Apr 19, 2016 at 1:22 AM, liamjwright@btinternet.com [4D_Cubing] <
4D_Cubing@yahoogroups.com> wrote:

>
>
> As I understand, the ‘3x3x3’ notation refers to size, such that on any
> given ‘x*y*z’, from any of the vertices you can move x arbitrary units in
> one direction, y in another, and z in another, and reach another vertex.
> This holds true for all of our 3D cubes, where our arbitrary unit is a
> cubie. Does this notation become obsolete in higher dimensions, and we just
> use the 3^4 name because it looks nice? Or is there actually a mathematical
> application of the new ‘x3’ added on?
>
>
>