William Modular Cube (rare hand made SLS puzzle similar to Rubik's Cube 3x3x3 and Pyraminx)

$220.00

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Item details

Handmade

Materials

3D Printer, Oracal

I present William Kretschmer puzzle - Modular Cube.
with the permission of William Kretschmer from his drawings I made the Modular Cube. this is a very interesting and rare puzzle.
if your collection does not have this - it's a great chance to get a wonderful puzzle !!!

Description of the author:
Background - I started searching for group theoretically interesting puzzles in December 2016. I successfully found a planar circle puzzle with 4 different interesting groups. It consisted of a circle of order 2 and a circle of order 3. I noticed that many of the interesting groups on this planar puzzle could be realized nicely in 3 dimensions. Specifically, using the geometry of a cube, one can place the order 3 turn at a corner and the order 2 turn at a face. Unfortunately, I realized that a complete realization of the planar puzzle is impossible using this geometry. In particular, such a puzzle cannot contain both the Ree(3) and PSL(3,2) orbits: these two piece types occur in the same locations, but at different cut depths. This is when I had the idea to put holes in the PSL(3,2) pieces to expose a deeper-cut layer of Ree(3) pieces below, giving what you see here.
Design - The corner cut is deep cut and behaves exactly as expected, turning in 120 degree increments. The face cut turns in 180 degree increments only. Thus, the symmetry of this puzzle is actually tetrahedral: many pieces that look the same on the outside are chiral, or are mechanically distinct. Externally, the face cut goes through 1/3 of the puzzle, but internally it goes through 2/3 of the puzzle. This is quite unusual: whereas most puzzles based on a shell mechanism have shallower cuts on the inside and deeper cuts on the outside, this puzzle is the opposite. I used this fact to create a simpler mechanism. The deeper shells are not stable on their own, but are held in by the shallower shells above them
Conclusion - This is one of the most mathematically strange twisty puzzles ever created. It has surprising connections to well-studied mathematical objects.

forum link - http://twistypuzzles.com/forum/viewtopic.php?f=15&t=32144
solution - http://twistypuzzles.com/forum/viewtopic.php?f=8&t=34642

puzzle on the photo and video-presentation may differ slightly from this puzzle
youtube review video from Author - https://www.youtube.com/watch?v=e4wmyQ6MnUc

my review video (turning demonstration) - https://www.youtube.com/watch?v=VWIs_3xDvgc

Edge size - , Height - , weight -

------------------------------------------------------------------------------------------------------------------

I can make and send you this puzzle after your order and payment within 30-60 days (term depends on the supplier of 3D printing).
Delivery to any country in the world with tracking number. Available Combined shipping - you can order several puzzles to get a small discount or Free Shipping.

You need to understand: this puzzle is hand-made.
The plastic is printed on 3D-Printer from SLS-nylon, completely polished and painted. Stickers are made of Oracal film.
This puzzle is different from the products in mass production from the store.
You can also play with it many times, but you must remember that this is a fragile product.
You get a fully assembled puzzle - this is an excellent specimen for the collection!
I present William Kretschmer puzzle - Modular Cube.
with the permission of William Kretschmer from his drawings I made the Modular Cube. this is a very interesting and rare puzzle.
if your collection does not have this - it's a great chance to get a wonderful puzzle !!!

Description of the author:
Background - I started searching for group theoretically interesting puzzles in December 2016. I successfully found a planar circle puzzle with 4 different interesting groups. It consisted of a circle of order 2 and a circle of order 3. I noticed that many of the interesting groups on this planar puzzle could be realized nicely in 3 dimensions. Specifically, using the geometry of a cube, one can place the order 3 turn at a corner and the order 2 turn at a face. Unfortunately, I realized that a complete realization of the planar puzzle is impossible using this geometry. In particular, such a puzzle cannot contain both the Ree(3) and PSL(3,2) orbits: these two piece types occur in the same locations, but at different cut depths. This is when I had the idea to put holes in the PSL(3,2) pieces to expose a deeper-cut layer of Ree(3) pieces below, giving what you see here.
Design - The corner cut is deep cut and behaves exactly as expected, turning in 120 degree increments. The face cut turns in 180 degree increments only. Thus, the symmetry of this puzzle is actually tetrahedral: many pieces that look the same on the outside are chiral, or are mechanically distinct. Externally, the face cut goes through 1/3 of the puzzle, but internally it goes through 2/3 of the puzzle. This is quite unusual: whereas most puzzles based on a shell mechanism have shallower cuts on the inside and deeper cuts on the outside, this puzzle is the opposite. I used this fact to create a simpler mechanism. The deeper shells are not stable on their own, but are held in by the shallower shells above them
Conclusion - This is one of the most mathematically strange twisty puzzles ever created. It has surprising connections to well-studied mathematical objects.

forum link - http://twistypuzzles.com/forum/viewtopic.php?f=15&t=32144
solution - http://twistypuzzles.com/forum/viewtopic.php?f=8&t=34642

puzzle on the photo and video-presentation may differ slightly from this puzzle
youtube review video from Author - https://www.youtube.com/watch?v=e4wmyQ6MnUc

my review video (turning demonstration) - https://www.youtube.com/watch?v=VWIs_3xDvgc

Edge size - , Height - , weight -

------------------------------------------------------------------------------------------------------------------

I can make and send you this puzzle after your order and payment within 30-60 days (term depends on the supplier of 3D printing).
Delivery to any country in the world with tracking number. Available Combined shipping - you can order several puzzles to get a small discount or Free Shipping.

You need to understand: this puzzle is hand-made.
The plastic is printed on 3D-Printer from SLS-nylon, completely polished and painted. Stickers are made of Oracal film.
This puzzle is different from the products in mass production from the store.
You can also play with it many times, but you must remember that this is a fragile product.
You get a fully assembled puzzle - this is an excellent specimen for the collection!

Shipping & policies

Ready to ship in 4–8 weeks
From Russia
Free shipping to United States

Meet grigorusha

Evgeniy Grigoriev

Evgeniy Grigoriev

Cheboksary, Russia

This seller usually responds within 24 hours.

Reviews

5 out of 5 stars rated 5 out of 5 stars by 48 customers

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