Just got this, I guess you could call it the cubic version of the curvy copter mezon.

Just letting everyone know that I achieved Helicopter Mezon last night, and it's awesome. For everyone who is confused by Mezon and has never held one in their hands:

- The two rotated corners are actually the only solved ones. The pieces around it aren't solved, they're the jumbled ones.
- It's basically just a zig-zag around two unjumbled bits, but from the right camera angle it looks more impressive.

So, it's less impressive than I originally thought, but it's also very cool to see, so this was still a success for me

That rex cube pattern is nice. Can you make flowers on all 6 faces as 2 3-cycles also. Not 3 2-cycles as shown!!

(Like 6 spots on 3x3x3, but with wings!!)

Per

4 crosses & 2 circles on Witeden Super 3x3x3

2 maarten

The snake on a Rex Cube:



This pattern is possible only at return alternation of colours!

Aargh, beaten in the snake section

Excellent pattern: great work!

How many turns for that rex flower pattern. Do you do 3 faces at a time??

Per

All patterns are hobby. Therefore I never consider number of turns. I do patterns for pleasure.

Turn E2 on a Rex Cube:

Mosaic Mezon.

Cheers,
Burgo.

Circular wave and two points on a Rex Cube and Cuboid 3Ñ…3Ñ…4:

FTO-Sandwich:

I am lazy taking pictures, but the rex cube has a pattern similar to (R L F B) 3 on the 3x3x3 cube. And it's only 7 turns.

Per

This is really interesting, a mezon on a corner-turning cube (that can't be achieved by just turning once!). Good job!

There is also a trivial 1 turn mezon ... The one shown can be done much like mezon on pyraminx.

Per

PS! 1, 2 or 4 mezons on rex cube anyone??

Finally found the time to solve TomZ's Curvy Copter II (while admiring the beautiful landscape of Thüringen).

Chess Rex Cube of the sixth order:

I'd like to contribute a curvy copter pattern, you could call it a flipped chopped snake i guess.

It can be set up in 3 parts. (3 easy jumbling sequences).

1. Flip 2 pieces like so: FR+ UR FR UR FR UR FR ++
2. Next 2 pieces: UB+ UL UB UL UB UL UB++
3. Last 2 pieces: DL+ DF DL DF DL DF DL++



Per

I bring you the curvy copter 12-flip.
Question: Can this be achieved without jumgling? (I used junbling)



Per

Yes, it's possible without jumbling. You can only flip centres in pairs of 4 when not jumbling (while you can get flip in pairs of 2 when you do jumble) and 4 divides 12 so you can do it without jumbling.

Yes, but a more geometrical proof would also be needed Actually i know how it can be done. I can do it in 78 turns without jumbling. Still working on an improvement to that (too long).

Per

PS! Now i'm quite convinced a solution with no jumbling would have the least number of turns

PPS! Tom, i disagree calling them centers. Centers have single color only. Call them middle edges or simply edges

I have just lowered the edge 12-flip to 72 turns.

It is done in 3 similar parts that flip 4 edges each.

One part is done like so:
[UR UF]3 - UB UL BL RF RD FD - [DL DB]3 - FD RD RF BL UL UB (24 turns)

(The bolded part sets up centers to be swapped on another side of the curcy copter.)

Per

AI 4x4x4 mezon

That looks painful to set up!! To many lockup scenarios ...

Per

I haven't worked very hard on this but I suspect you can do it in much fewer than 72 moves. For example here are 28 moves that flip 8:

[DL&2, LB&2, UB&2, UR&2, RF&2, DF&2, RD&2, RF&2, FU&2, LU&2, LB&2, BD&2, DF&2, DL&2, BD&2, BR&2, UB&2, LU&2, FU&2, RF&2, UR&2, UB&2, LU&2, FL&2, DL&2, BD&2, RD&2, RF&2]

Hmm. I tried that a few times but it only messes up the curvy copter. Not even close to a 8-flip ...

Per

Did you try pasting the routine into Gelatinbrain's program? The &2 notation on the moves indicates slice moves. The routine is 100% slice moves.

Ah, in that case i would count it as 56 yurns, not 28. Edge turn metric - or whatever we should call it, equivalent to htm on the normal 3x3x3 cube.

Per

Ps! I can now do it in 58 turns htm. Based on the UR UF RF [UR UF]3 RF UF UR RF sequence. And applied 4 times with some modifications. Complete list of turns will follow later.

Per

(Hint! After done 2 times we have 6 flipped edges and 2 twisted corners.)

Halfway to the 12-flip: The sequence so far is

/*000000*/BD,
/*000001*/RB,
/*000002*/DR,
/*000003*/BD,
/*000004*/DR,
/*000005*/BD,
/*000006*/DR,
/*000007*/BD,
/*000008*/RB,
/*000009*/BD,
/*000010*/DR,
/*000011*/RB,
/*000012*/DR,
/*000013*/FU,
/*000014*/RF,
/*000015*/UR,
/*000016*/FU,
/*000017*/UR,
/*000018*/FU,
/*000019*/UR,
/*000020*/FU,
/*000021*/RF,
/*000022*/FU,
/*000023*/UR,
/*000024*/RF,
/*000025*/UR,

This can be written nicer, but i was lazy

Per

I just had to share this, I thought it was really interesting.

Cheers,
Burgo

Here is a quite cool pattern on the normal helicopter cube:

/*000000*/FU,
/*000001*/UB,
/*000002*/BR,
/*000003*/RD,
/*000004*/RF,
/*000005*/LB,
/*000006*/DL,
/*000007*/FL,
/*000008*/FU,
/*000009*/FL,
/*000010*/DL,
/*000011*/LB,
/*000012*/RF,
/*000013*/RD,
/*000014*/BR,
/*000015*/FU



Per

I can do that previous pattern twice:

/*000000*/FU,
/*000001*/UB,
/*000002*/BR,
/*000003*/RD,
/*000004*/RF,
/*000005*/LB,
/*000006*/DL,
/*000007*/FL,
/*000008*/FU,
/*000009*/FL,
/*000010*/DL,
/*000011*/LB,
/*000012*/RF,
/*000013*/RD,
/*000014*/BR,
/*000015*/FU,
/*000016*/BD,
/*000017*/DF,
/*000018*/FR,
/*000019*/RU,
/*000020*/RB,
/*000021*/FL,
/*000022*/UL,
/*000023*/LB,
/*000024*/DB,
/*000025*/LB,
/*000026*/UL,
/*000027*/FL,
/*000028*/RB,
/*000029*/RU,
/*000030*/FR,
/*000031*/BD,


Per

A surprise find ("slice" 4-flip):

I used my previous find:

/*000000*/UB,
/*000001*/UR,
/*000002*/LU,
/*000003*/RF,
/*000004*/FL,
/*000005*/BR,
/*000006*/LB,
/*000007*/RD,
/*000008*/DL,
/*000009*/DF,
/*000010*/DL,
/*000011*/RD,
/*000012*/LB,
/*000013*/BR,
/*000014*/FL,
/*000015*/RF,
/*000016*/LU,
/*000017*/UR,



Now i only inserted another 2 turns:

/*000000*/UB,
/*000001*/UR,
/*000002*/LU,
/*000003*/RF,
/*000004*/FL,
/*000005*/BR,
/*000006*/LB,
/*000007*/RD,
/*000008*/DL,
/*000009*/BD,
/*000010*/DF,
/*000011*/DL,
/*000012*/RD,
/*000013*/LB,
/*000014*/BR,
/*000015*/FL,
/*000016*/RF,
/*000017*/LU,
/*000018*/UR,
/*000019*/FU,



Per

I got this pattern on my gear shift accidentally. Its just stripes like the 2x2 pattern.

It's the only pattern I could think of on the gear shift. You get this pattern from the solved state by rotating all 8 gears simultaniously until you get the cube-shape again.

There are actually two variants of this pattern. If you rotate all eight gears, you'll pass through this state, then a second one (giving you the +2), and then it will go back to being solved.

As far as I can see, these are the only three possible cubic positions.

My latest achievement is the 12-flip in only 44 turns!!

I start with a slice 4-slice like so:

/*000000*/UB,
/*000001*/UR,
/*000002*/RF,
/*000003*/BR,
/*000004*/RD,
/*000005*/LU,
/*000006*/FL,
/*000007*/LB,
/*000008*/DL,
/*000009*/BD,
/*000010*/DF,
>>4-flip L-side
/*000011*/DL,
/*000012*/LB,
/*000013*/FL,
/*000014*/LU,
>>4-flip R-side
/*000015*/RD,
/*000016*/BR,
/*000017*/RF,
/*000018*/UR,
/*000019*/FU,

I have indicated where to insert L-side and R-side 4-flips respectively.
A whopping 16 turns are cancelled from an ortherwise 60 turns sequence.

Final reult:

/*000000*/UB,
/*000001*/UR,
/*000002*/RF,
/*000003*/BR,
/*000004*/RD,
/*000005*/LU,
/*000006*/FL,
/*000007*/LB,
/*000008*/DL,
/*000009*/BD,
/*000010*/DF,
/*000011*/LU,
/*000012*/FL,
/*000013*/LU,
/*000014*/FL,
/*000015*/LU,
/*000016*/FL,
/*000017*/DL,
/*000018*/LB,
/*000019*/FL,
/*000020*/LU,
/*000021*/DL,
/*000022*/LB,
/*000023*/DL,
/*000024*/LB,
/*000025*/DL,
/*000026*/LB,
/*000027*/UR,
/*000028*/RF,
/*000029*/UR,
/*000030*/RF,
/*000031*/UR,
/*000032*/RF,
/*000033*/RD,
/*000034*/BR,
/*000035*/RF,
/*000036*/UR,
/*000037*/RD,
/*000038*/BR,
/*000039*/RD,
/*000040*/BR,
/*000041*/RD,
/*000042*/BR,
/*000043*/FU,

(44 turns, just over 3 turns pr flip ...)

Per

This pattern on a cube 2Ñ…2Ñ…2:
R2 F2 U2 R2.

Hello, collection

I have decided to make this classical patterns with my C4U teraminx. Now, this puzzle won't be solve anymore, because I prefer the mf8 teraminx. Turning of C4U is good, but not as mf8 puzzle. I have poped several times, and I have been often lost, especially with the edges.
But, I am pretty happy with the results.

I hope you made that pattern by only turning 3 layers at a time, like you were playing with a megaminx and did not pair centers and edges new!?

I think from his post he said that he stickered it that way, and it can never be in a typical solved state.

No, I have all scrambled before realized that I could do it like a megaminx!! Otherwise, I have solved it this way. I had 2 bigs pops during solving, so Luke, if you say normally this is not realised by solving, I was lucky, rearranging the pops to get through the parity...

Actuelly, I have not completely think why this pattern is cannot be realised from the normal state ?

Wow having a pop where you need to wory about a parity is bad. I only get a pop on on one of the little face pieces sometimes on my mf8 terraminx but only when I use it harshly. That of course, can never lead into a parity.

What Luke was suggesting though, is that you might have wanted to say that you put the stickers on IN that pattern. Like you would sticker a black Rubik's cube in a scrambled way and it can't be solved. But I guess you didn't mean that.

Bermuda Cube Venus.

Exchange 2 x 2 centers with different orientation.

I'm amazed that's even possible! (It took me a while to realize that the triangular centers have the same dimensions, they're just rotated differently...)

A simple pattern on the curvy copter:



[UB UL]3 [RB RD]3 [FD FL]3

Per

And one more:



[FL FD RD]2 [RB UB UL]2

Other version:



[FL FD RD RB UB]2

Yet another find. A three clover leaf pattern:



UF [UR UF FR]4 UF

Done on all faces:



UF [UR UF FR]4 UF - BD [DL DB BL]4 BD

Per

(New contribtion, I call it swastikas. Not a nice name but cool pattern ... )
I now prefer to call it maltese crosses instead!!



Extended three-clover (four-clover):



Last variation (cornercage):



Per

Time for a simple 6x6x6 pattern.

You can see it in action here. And a picture below.



Per

PS! Does anyone know of a Mosaic Cube applet/simulator?? It's not on gelatinbrain cube/vertex turning. Also searhing google gives me nothing useful ...

Yet an other mezon.

The Bermuda Mezon.