Message #3949

From: Melinda Green <melinda@superliminal.com>
Subject: Re: [MC4D] Re: Notation
Date: Wed, 10 Jan 2018 18:02:06 -0800

The wiki page doesn’t need to be carefully done. That’s one of the nice things about wikis: They’re easily modified, and everyone can help. Use it as you like.

I agree that this puzzle doesn’t represent any sort of geometric projection. My point is that it feels very analogous to the concept. "Representation" means nothing to me. Some alternate approach might explicitly relate to the duality or parity of the states. I think we need a better idea of just /what /these states represent.

-Melinda

On 1/10/2018 11:18 AM, Joel Karlsson joelkarlsson97@gmail.com [4D_Cubing] wrote:
>
>
> Hi Melinda,
>
> That’s great! I might attempt writing the notation down more carefully on a wiki-page (suggestions?) but this will have to wait since it’s still developing quite quickly.
>
> In MC4D, with ctrl-click rotating "by cubie", I believe that different projections can be reached by ctrl-clicking on different pieces. However, I wouldn’t call the different physical representations  "different projections" mainly because I don’t think that the transformations which take the 4D-puzzle to the physical 3D-representations are projections. I’ll elaborate this point in a future post (I have a small project that I think all of you will like). Whether the community has agreed to call them "projections" or not is more than I know.
>
> Best regards,
> Joel
>
> 2018-01-10 0:37 GMT+01:00 Melinda Green melinda@superliminal.com <mailto:melinda@superliminal.com> [4D_Cubing] <4D_Cubing@yahoogroups.com <mailto:4D_Cubing@yahoogroups.com>>:
>
> Hello Joel,
>
> Thank you for another interesting post. This time I understand most of it. :-)
>
> I like the idea of ‘G’ for the whole-puzzle reorientations, which is a mouthful. I would suggest calling it "gyro" rather than "girabit". Gyro is the Greek root for circle, which is appropriate, and people can associate it with gyroscopes. I mainly think of the move as a "big" rotation but we do need a good name and notation for it, and I think ‘G’ will do nicely.
>
> The only other thing I’ll mention is that I thought we had decided to call the two overall puzzle forms "projections" instead of "representations", right? So abbreviated "proj" instead of "rep". Please correct me if I’m wrong. I forget everything. Maybe an even better term will appear once we really begin to understand exactly what these two forms mean and how best to think about them.
>
> Everything else seems fine as far as I understand it. I’d love to see a video of your solution as well as one or more showing these sequences you are describing and notating. Without some sort of pictorial form, it’s difficult to know when I’m fully understanding your text.
>
> Best,
> -Melinda
>