Hello,

This is my new puzzle - the Vitrail.
Both circles can be rotated 90, 30 or 60 degrees, depending on the current configuration
The result of 30 and 60 degrees turns is jumbling. The puzzle looks really cool when scrambled and that's why I called it Vitrail (stained glass).

Dimensions: 150 x 95 mm.

WOW! I want this!

What an interesting choice of cuts! I love how the puzzle cuts are 180 degree rotationally symmetric. It's like you took a 4-fold circle and stacked a second one on top with a slight rotation. Very cool.

And I bet this thin is pretty hard too...

Nice!

gal_eon wrote: The result of 30 and 60 degrees turns is jumbling.

In principle yes, but it looks to me like the overlap is a bit short of the jumbling radius.

You are making some awesome puzzles!

Nice sliding tile puzzle, congrats. the idea is very nice-but still not perfect - it seems again, that small pieces sometimes doesn't hold properly, and they can easily pop out. That's the problem i always end up. You have to think about something like Geranium's tiles, when small bits are extended behind big ones.
I hope you will end up with some new idea how to avoid from falling down(or maybe you already done it) and you will share your knowledge with everyone else.
Once again the idea and design is very good, what kind of screws(bolts) you are using, is that acrylic ones?How does the opposite side looks?

Thank you all for your comments.

@Elias: - no problem, I can make one for you, if you still want it!

@Brandon: This is exaclty how I made it. I drew two circles that overlap in such a way that creates 4-fold rotational symmetry, then I added the corresonding cuts. After that I rotated all the cuts 30 degree within both circles.

@bhearn: I don't know how to measure the jumbling radius. I still hope it creates an interesting puzzle, because the 90° turns alone don't scramble the puzzle beyond the lentil-shaped groups.


@rline: I hope that I won't need you help to solve it

@djpibody: You are right, it's far from being perfect. In fact I noticed the possibility for the small concave pieces to fall if the puzzle is turned upside down only when I was taking the picture.
At this moment I don't have a working solution for the current setup (base, frame in which the moving parts rotate, transparent cover). Most probably it can be done with overlapping edges.
I just tried once again with my prototype - its cover is not cut very well and one of the opened arcs is slightly misaligned. It is on that side where the piece falls, the other side endured more serious shaking. The piece fell at the end, but it required quite an effort. Still, a better design is necessary if I aim at a broader audience.
Regarding the screws: they are polycarbonate:
http://www.mdm-bg.eu/brand/product/bid/ ... 26/pid/69/
(sorry, most info is in Bulgarian).

Here is a photo of the back of the puzzle:

Wow, nice puzzle, and beautiful design!!

gal_eon wrote: @bhearn: I don't know how to measure the jumbling radius. I still hope it creates an interesting puzzle, because the 90° turns alone don't scramble the puzzle beyond the lentil-shaped groups.

My mistake: the critical jumbling radius for N = 12 is ~1.3764, and for your puzzle the radius is sqrt(2) = ~1.414 (as measured with the disk centers at -1 and 1). So your puzzle is indeed "jumbling", in that it can't be finitely unbandaged. But really that is only of academic interest. What matters for practical purposes is that it's bandaged, which generally serves to make it hard.

@bhearn: Thank you for this analysis!

Very nice!

I have moved this to New Puzzles as Andreas rightly points out it is twisty, and a puzzle.

Dave

Well I never thought jumbling can be happened in sliding tiles puzzle as well. That's intrigue!

otischeng wrote:Well I never thought jumbling can be happened in sliding tiles puzzle as well. That's intrigue!

Isn't the massproduced Geranium Puzzle also jumbling?

Greetz,
Quuador

Quuador wrote:

otischeng wrote:Well I never thought jumbling can be happened in sliding tiles puzzle as well. That's intrigue!

Isn't the massproduced Geranium Puzzle also jumbling?

I think so... does it turn in 10ths? If so, then yes.

Otis, we had a big investigation into whether circle puzzles jumble a couple years ago:

http://www.twistypuzzles.com/~sandy/forum/viewtopic.php?f=1&t=25752&start=100

The answer is, in general, yes. It depends on the turning angle and the radius.

This is what the Vitrail would look like fully unbandaged. Most of this space is fractal dust.



But if the radius were slightly smaller, 1.376 instead of 1.414, it could be completely unbandaged. Here's a zoom.



Sorry if this is getting off topic... it does look like a very nice puzzle.

bhearn wrote:Otis, we had a big investigation into whether circle puzzles jumble a couple years ago:

http://www.twistypuzzles.com/~sandy/forum/viewtopic.php?f=1&t=25752&start=100

The answer is, in general, yes. It depends on the turning angle and the radius.

Thank you Bob. It seems like the term jumbling is more hard to define than I first thought.

I don't know the Geranium can be considered as jumbling or not. But it did some blocking movement while turning in an unusual angle. So it might be

otischeng wrote:I don't know the Geranium can be considered as jumbling or not. But it did some blocking movement while turning in an unusual angle. So it might be

The Geranium and the Pocket Geranium jumble; the Mini Geranium doesn't.

This is beautiful. I agree with Brandon that the slight turn of the secondary cuts makes it really stand out amidst all the other 2D puzzles out there. Snazzy!

bhearn wrote:Sorry if this is getting off topic...

Hah! The moment I saw this thread, I was reminded of that glorious Gizmo Gears thread that exploded a few years ago. But I think your analysis, your insights, and especially your screenshots add beauty to the puzzle in a way Feynman describes well: https://www.youtube.com/watch?v=ZbFM3rn4ldo



Eitan