Thread: "Complex 3x3x3"

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Hi Marc,

Mathologer hast made beautifull presentations of
a.. the 4D Rubic and
b.. MagicTile
Marc, you have collectet a considable amount of stuff about Melinda's physi=
cal 2x2x2x2.

I think it would be eminently worthfull to have an animated view of an inte=
rested non-insider.

Who has the e-mail address of the Mathologer?

Kind regards
Ed

https://www.youtube.com/watch?v=3DyhPH1369OWc&t=3D602s
https://www.youtube.com/watch?v=3DDvZnh7-nslo&feature=3Dyoutu.be
https://www.youtube.com/watch?v=3DiOla7WPfCvA&feature=3Dyoutu.be






----- Original Message -----=20
From: Marc Ringuette ringuette@solarmirror.com [4D_Cubing]=20
To: 4D_Cubing@yahoogroups.com=20
Sent: Sunday, June 25, 2017 7:24 PM
Subject: Re: [MC4D] 3-cycle demo on phys 2^4


=20=20=20=20
(welcome, Okko!)

Hey, Ed, regarding Melinda's physical 2^4 puzzle,

(1) Nope, I haven't written down a big table of move equivalents, altho=
ugh my videos will give you enough to figure it out. The one-sentence ver=
sion is: any mc4d move that leaves the stickers on the R+L faces still on =
the R+L faces, has a simple twist in the phys 2^4 puzzle. With the additi=
on of a single rotation to this common subset -- any rotation that moves th=
e R+L faces onto a different pair of faces, FOro and FUro being the two phy=
s 2^4 sequences discovered so far to do this -- the entire mc4d state space=
can be reached on the phys 2^4 and vice versa.

(2) Nope, nobody else has written down the move table either. That's n=
ot too surprising, since nobody else but Melinda and me have made physical =
versions of the puzzle yet. C'mon, gang, get building! It's fun, and it'=
ll only take you a couple of days. :) I suspect people are waiting fo=
r Melinda or me to provide some nice step-by-step instructions that can be =
completed in 3-12 hours, or even better, just wheedle one of us into buildi=
ng them one.=20=20=20

(3) The "virtual physical" 2^4. It feels slightly goofy to take Meli=
nda's puzzle, whose key feature is the ability for a physical realization, =
and then make a simulation of it. Heh. However, it would actually be re=
ally useful, given that a lot of people won't manage to surmount the energy=
barrier associated with building the physical puzzles.=20

(4) Thinking about it, it would be really useful to create a virtual ph=
ysical 2^4 puzzle, in Javascript, shown side-by-side with the MC4D style si=
mulation, with each move being executed simultaneously on both. And as a =
side-effect of creating the MC4d style rendering in Javascript, we would ea=
sily be able to also produce a web-browser-compatible version of all of MC4=
D's n^4 hypercube puzzles that would make them that much more accessible to=
people who reluctant to use the Java app. Such a version could be far le=
ss general and tricky than MC4D itself, because it would be so much more li=
mited (just 4d, in a particular simplified/hacked projection). Sort of a =
"gateway drug" to full MC4D. It would be FANTASTIC if somebody programmed=
this.

(5) A teaser: I've been trying to work out an extension of Melinda's =
physical 2^4 puzzle into a physical 3^4, and making some good progress. H=
owever, with 81 pieces and 972 magnets, it's fairly impractical to create p=
hysically in a way that can actually be operated by hand. Pretty much the=
only way it is likely to come to exist is in a "virtual physical" version =
in Javascript.


Cheers
Marc




On 6/24/2017 1:21 AM, 'Eduard Baumann' ed.baumann@bluewin.ch [4D_Cubing] =
wrote:

=EF=BB=BF[Is there a] table which gives the "phys 2^4" moves for each "=
one click on mc4d" ?



=EF=BB=BFHow about a "virtual physical 2^4" ?=20





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• the 4D Rubic and


• MagicTile