Message #1772

From: schuma <mananself@gmail.com>
Subject: Re: [MC4D] MPUlt supports 600-cell!
Date: Fri, 10 Jun 2011 22:59:41 -0000

Hi,

I’ve just solved the 600-cell VT with trivial tips, proposed by Roice. I started this puzzle a little bit right after Roice defined it.

I resumed it today when Melinda mentioned the 600-cell. It took me 1 hour and 24 minutes and 152 moves to solve the 120 trivial tips.

Since the vertex figure of the 600 cell is an icosahedron, solving each tip is nothing but reorienting an icosahedron. In many cases, the reorientation can be done using one multi-click move. But there’s an exception: Although one multi-click move can do a 72 deg rotation (5-cycle), it can’t do a 144 deg rotation. So I have to use more than 120 moves to solve the 120 tips.

Initially I thought that at the end when only one or two tips were unsolved, they were like needles in a haystack and I might not be able to find them. It turns out that’s not a big problem. I only spent one or two minutes looking for them at the end.

Nan

— In 4D_Cubing@yahoogroups.com, Roice Nelson <roice3@…> wrote:
>
> On Fri, May 27, 2011 at 1:01 AM, Melinda Green <melinda@…>wrote:
>
> > Oh… My… God!
>
>
> My sentiments exactly. Ridiculous! …and I mean that in the best possible
> way ;)
>
> Like the {3,7}, the vertex-turning version will be a great deal
> more tractable. I configured the two easiest possible vertex-turning
> 600-cells (by using your 120-cell and 600-cell puzzle data). One has only
> trivial tips and one has cells sliced like gelatinbrain’s 5.1.1. I’ll put
> them at the bottom of this email in case any would like to try them out.
>
> Whereas the face-turning puzzle is borderline unusable on my computer,
> these are both nice and smooth, and the pieces per cell not nearly as
> scary. Of course, the number of cells still is! However, it might be
> possible to solve the trivial tips version in a few hours, maybe even less
> (120 tips at one tip per minute = 2 hours).
>
> A large face-shrink and smaller sticker-shrink allows you to see the
> stickers for a tip compacted together, which felt like it might be a good
> way to approach a solve. Something like this
> screenshot<http://groups.yahoo.com/group/4D_Cubing/photos/album/772706687/pic/627598824/view?picmode=&mode=tn&order=ordinal&start=1&count=20&dir=asc>.
> It doesn’t work so well in practice though because you can’t click pieces
> towards the center (trying that always selects pieces from intervening
> faces). I guess sticker-click twisting would be required to make these
> particular display settings usable.
>
> Cheers,
> Roice
>
> P.S. I agree with Melinda that it would be nice to be able to turn off the
> cell borders sometimes.
>
>
> Puzzle 600-cell_VT
> Dim 4
> NAxis 1
> Faces 4.236068,1,1,1
> Group 0,4.472136,-7.236068,0/0,5.854102,-9.472136,8.09017 0,0,1,0/0,0,0,1
> -0.618034,1.618034,1,0/0,0,0,1
> Axis 4.236068,0,0,0
> Twists 0,4.472136,-7.236068,0/0,5.854102,-9.472136,8.09017 0,0,1,0/0,0,0,1
> 0,2,-1,-1/0,1,1,-2
> Cuts 1.03 -1.03
> FixedMask 2
>
> Puzzle 600-cell_VT_Trivial_Tips
> Dim 4
> NAxis 1
> Faces 4.236068,1,1,1
> Group 0,4.472136,-7.236068,0/0,5.854102,-9.472136,8.09017 0,0,1,0/0,0,0,1
> -0.618034,1.618034,1,0/0,0,0,1
> Axis 4.236068,0,0,0
> Twists 0,4.472136,-7.236068,0/0,5.854102,-9.472136,8.09017 0,0,1,0/0,0,0,1
> 0,2,-1,-1/0,1,1,-2
> Cuts 1.08 -1.08
> FixedMask 2
>