Message #3314

From: Eduard Baumann <ed.baumann@bluewin.ch>
Subject: Re: [MC4D] Re: Introducing myself and MC7D related questions
Date: Tue, 22 Mar 2016 18:11:52 +0100

Hello all,

Don’t forget MagicTile !!

I have started my exercice of this year: the equivalent of GelatinBrain 4.1.6 (deep faceturning octahedra).
Working in MagicTile is much more efficient (over all view and macros).

Has everybody made at least one MagicTile in 2015 ? ;-)

Kind regards
Ed

—– Original Message —–
From: joelkarlsson97@gmail.com [4D_Cubing]
To: 4D_Cubing@yahoogroups.com
Sent: Friday, March 18, 2016 8:54 PM
Subject: [MC4D] Re: Introducing myself and MC7D related questions

Thank you for the answers, it was really helpful!

Alvin, I would say that the stickers actually are 6D. They are, however, shown as orthographic projections which make them look identical to 3D cubes (just like an orthographic projection of a 3-cube looks like a square). By the way, thank you for the right clicking tips, I had totally missed that. To answer your question: Yes, that would correspond to a rotation in 7D.

Phamhoant78: thank you for the great attachments! Have you done them yourself and, if so, do I have your permission to use them in my paper?

—In 4D_Cubing@yahoogroups.com, <phamthihoa4444@…> wrote :

MC7D is hard to understand because it does not really project and the secondary dimensions looks very different from the primary. Some stickers in the secondary dimension is shown as many 3d cubes. Alvin says one piece may have >7 s tickers, that is not true, that is one sticker but shown as many cubes to show which piece it belongs to.
A 2^5 can be projected to 2D like this: [Attachment 1]
A piece is marked by the dots. Three red squares are 1 sticker, not 3 stickers, hence that piece have only 5 stickers.
The reason why MC7D sometimes show 1 sticker as many cubes in shown in attachment 2. It shows the process of project 2^3 -> 1D in a way similar to MC7D. That makes things easier to look at and distinguish.
So, 3^7 cube has stickers on 6 of its faces "sliced" (as I shown) and projected as many 4D cubes stacked.