Message #3826

From: Eduard Baumann <>
Subject: Re: [MC4D] Melinda’s physical 2^4 puzzle, mirrors [1 Attachment]
Date: Sun, 19 Nov 2017 11:05:50 +0100

2^4 MCD4 is handed (is that a programming issue?)

Not an easy thema.

Foundation Mathematics for Computer Science: A Visual Approach - Diese Seite übersetzen
John Vince - 2015 - ‎Computers
6.5 a A left-handed system. b A right-handed system Fig. … It also worth noting that handedness has no meaning in spaces with 4 dimensions or more.

But see also:

Best regards

—– Original Message —–
From: Marc Ringuette [4D_Cubing]
Sent: Saturday, November 18, 2017 5:03 PM
Subject: Re: [MC4D] Melinda’s physical 2^4 puzzle, mirrors [1 Attachment]

[Attachment(s) from Marc Ringuette included below]

Hi, Ed,

(1) There are 16 = 2*2*2*2 color combinations. Each piece has either
W/Y, R/O, B/G, P/V. There is one piece of each combination.
(2) The pieces each have one of the two possible handednesses. So,
people assembling their own puzzle must take care to get the handedness
of each piece correct.
(3) This is also true for the 2^4 hypercube: there are 16 four-color
pieces, in 2*2*2*2 color combinations, and there is only one of the two
handednesses of each. The MC4D program arbitrarily chose a
handedness. Even if the 4th dimension allows any 3D face to be turned
"inside out" to reach the other handedness, the twists and rotations
allowed for the n^4 hypercube puzzle do not allow access to that other
(4) Your version of mc4d is fine. When I built my first physical
puzzle, I created a text file, facecolors.txt, with some custom colors
to match the virtual with the physical version. If you save the
attached file in the same folder with mc4d.jar, then restart MC4D and
open the 2^4 hypercube, the colors will hopefully match. This is not
well documented, but I saw it mentioned somewhere deep down in some old
release notes for MC4D, and messed with it until I made it look OK for me.