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Wednesday, April 30, 2025

Puzzle DNA – Edge Beveled Cubes

Edge Beveled Cubes by George Sicherman
I recently received a magnificent box of elemental puzzle material synthesized from a wide selection of exotic woods.  The set consists of 130 atoms in the form of 35 unique molecules with each molecule consisting of 1 to 4 atoms.  In fact, these 35 molecules are the full set of all possible molecules that can exist with up to 4 atoms.  These molecules can then be pack together to make higher level structures.  The trick to packing them together is determining which ones will bond tightly with each other.

The Edge Beveled Cubes set was designed by George Sicherman and made by Wood Wonders.  It arrives in a laser-cut Walnut box with nice detailing debossed on the top.  Inside are nestled 35 molecular pieces that are the substance for many a challenge.  Each atomic edge beveled cube is made from an exotic hardwood.  130 cubes with 12 bevels each to give you 1560 bevels to keep you on edge.  

Edge Beveled Cubes 4x4 Square Pyramid
The pieces are formed via bonds between the cubes across the beveled edges.  My version has the cubes with randomly selected woods to form the pieces.  However, Wood Wonders also provides a fancier version made from 35 different exotic woods, where each piece is made with cubes of the same wood.  Each piece is also branded with a number that’s keyed to a list that identifies the type of wood used for each piece.

So what can you do with this set of oddly shaped pieces?  It turns out, quite a bit.  As a starter, the pieces can be used to make Stewart Coffin’s Distorted Cube and Pyracube puzzles.  But since I’ve done those in the past, I was looking to do something new.

As tempted as I was to just jump in and create a double helix, I decided to start by making some square based pyramids.  My original thought was to create a list of unique pieces that could be used to make targeted shapes but I abandoned that idea for two reasons.  The first is that I was enjoying making targeted shapes by wisely selecting pieces to be added from the entire set and I was not too keen being restricted to a unique set of pieces.  This would work well for small shapes that required a few pieces but not for larger shapes where more than a dozen pieces would be required.  Who really wants to do an assembly challenge with 35 pieces and a unique solution?  The second, as it turned out, is that BurrTools wasn’t too keen on it either.  The first shape I put in was the 6x6 square pyramid and BurrTools never even got to the point where it would only take ages.  Apparently solving a puzzle with up to 35 pieces that can each occupy hundreds of possible positions doesn’t make for good math.

Edge Beveled Cubes 5x5 Square Pyramid
So I embarked on a square pyramid journey working my way from a 1x1 to 6x6, the largest solid square pyramid that can be made.  I jumped right in and grabbed the single beveled cube to proclaim victory of the 1x1 square pyramid.  What a confidence booster!  Adding a 4 cube piece quickly produced the 2x2 pyramid.  I was on a roll and kept going as they got progressively harder.  

After completing the 5x5 square pyramids, I decided to skip right over the 6x6 square pyramid and attempt a 6x7 rectangular pyramid.  This one was a bit more challenging and ended up using 30 of the 35 pieces.  My overall strategy was to build from the bottom up and attempt to use the more complex pieces as soon as possible.  My rudimentary definition of complexity utilized how many layers a piece required.  Some require only 1, others 2, and a couple 3 layers.  As with the 4x4 and 5x5 square pyramids, there was a lot of backtracking involved as the dwindling supply of pieces failed to support filling the space remaining.  Eventually, I successfully summited the pyramid for the win.

Edge Beveled Cubes 6x7 Rectangular Pyramid
And then I went to put them back into the box.  And failed.  The box holds 136 cubes with the square packing leaving 6 unused positions when it is packed.  Since there is only one single cube piece, there aren’t too many gimmes that you can take as you start to fill it in.  My strategy was to fill the box from left to right while conserving what I though were easy to place pieces.  However, as I got to the right side, my choice of easy to place pieces didn’t work very well in the corners.  Lesson learned.  I took half of the pieces out and modified my strategy to fill the right side of the box.  

After I go back and finish that 6x6 square pyramid maybe I’ll attempt the 6x8 rectangular pyramid, which would use 127 of the 130 cubes.  Sounds like a real challenge with no guarantee that it is indeed possible.  Then I’ll try my hand at the triangular pyramids where the cubes use a different packing mechanism.  I might throw in some double or triple triangular pyramids as well.  So many forms to try, So little time.

Both versions of the Edge Beveled Cubes are currently available at Wood Wonders on the A Few More Copies, Last Chance page if you’d like to attempt any of the challenges mentioned here or create your own.  If you do create your own, be sure to share them with the puzzle community.

Edge Beveled Cubes Size 3 Triangular Pyramid
Triangular Pyramid

Wednesday, April 23, 2025

New Puzzle Comes Out – Smelling Of Roses

Smelling Of Roses by Steve Nicholls
I’m lucky to have many friends like myself in the warped-mind community.  In an effort to appear as regular people, some have attempted to come close by becoming regular tetrahedron people.  This has resulted in several tetrahedron puzzle designs popping up of late and this is the story of one such great pyramid puzzle.

Smelling Of Roses was developed by that famous guy from Two Brass Monkeys, Steve Nicholls.  Not to be confused with that other famous guy from Two Brass Monkeys that designed Rock-It Burr that we gushed over in a previous post (Drill Baby Drill! – Rock-it Burr).  Smelling Of Roses is made using …  well that depends on what you use to make it.  Steve made the design available on Maker World for anyone to download and make their own copy.  My version is 3D printed using a single color of PLA.  Not for any aesthetic reason but simply because I was too lazy to change the filament for additional colors.

Smelling of Roses takes a typical 6 piece burr and transmogrifies it using tetrahedronagonyal geometry.  This is basically a process of weaponizing the pieces by providing many pointy bits.  It also has the advantage of making the pieces difficult to grip since they are no longer rectangular and squeezing them tighter just launches them from you fingers instead of securing them.

Smelling Of Roses Pointy Bits
Thorny Problem!
You would think that having 4 obvious corners would make the piece placement a no-brainer. However, there were several times I was considering putting those obvious corners in some not so obvious places.  Although, I didn’t think it possible, the pieces support going together in many unhelpful ways.  It took me several tries to find the correct assembly and when I finally had it, it was an effort to figure out how to move the pieces to get them all in place without loosing track of the assembly.  All this while juggling the pieces and attempting not to launch them.

Steve did an excellent job in picking a 6-piece burr that requires multiple moves before any pieces can be removed.  No key piece requiring a single move here!  In fact the movements are nicely executed in the tetrahedral space that the pieces were developed in.  I have to give Steve a lot of credit for using the BurrTools tetrahedral-octahedral space grid.  I find it very unintuitive to use.

The copy of Smelling Of Roses that I printed is a bit tight (the description uses the friendlier term - snug).  When all the pieces are coming together, they have to be cajoled into position.  It also adds a level of difficulty during disassembly since the moves are not obvious and nothing moves with casual prodding.  You have to prod with intent.  And multi-piece movements require more intent than single piece movements.

This is an awesome take on the 6-piece burr puzzle and kudos to Steve for making it freely available to the community on Maker World!  So download Smelling Of Roses and give it a try.  But whatever you do, don’t leave this caltrop of a puzzle sitting on a chair!  Assuming that you can put it together of course.

Wednesday, April 16, 2025

Playing – Ketchup

Ketchup by Haym Hirsh
Haym Hirsh has been a prolific designer of 2D packing puzzles of late.  I suspect that he has 57 varieties by now.  I missed out on one of his recent puzzle designs when it first came out but I managed to snag a copy from Puzzle Paradise.  Now I’m playing Ketchup.  I wasn’t sure how well it would go in my collection but people tell me it goes with everything.

Ketchup is a 2D packing puzzle designed by Haym Hirsh and made by Nothing Yet Designs (NYD).  It consists of a red bottle-shaped tray with black highlights and 4 sets of white pieces consisting of a 5 and a 7.  The tray has a dedicated space to store one pair of 5 and 7s when not in the solved configuration.  The goal it to pack all 4 sets of pieces in the square section of the tray.

I anticipated solving this one quickly, but it made me wait until I fully explored it.  You notice early on that the square packing area seems one unit shy of making things easy, forcing you to attempt different ways of packing those 5s and 7s.  Although the 5s seem harder to pack, it’s always a 7 that you’re looking to place at the end.  In fact, it’s not all that difficult to pack everything except for a single 7.

And then to my horror, I saw it!  No, not the solution.  The fact that this is just another S&L puzzle!  (Nothing Yet Designs Release: 20 March 2025, 12:00 PM EDT)  Aghhhh!!!  Haym is just sneaking that S in as a 5 and the L in as a 7.  Will this turn out to be another crisis?

4 Pairs of 5s And 7s - Or Is That Ss And Ls
Crisis?
No.  No crisis here.  'Cause these are the good old days.  Where all the doubters are wrong, all the solvers are hard-working, and all the puzzles are above average.

It may have taken me a little bit of time but I managed to slip that last 7 into the tray.  All 4 sets of pieces where now nestled in the square area.  It was worth the wait.

And speaking of ketchup, the April release from NYD was yesterday with a couple of new designs and few restocks.  As mentioned in the last release post (Nothing Yet Designs Release: 20 March 2025, 12:00 PM EDT), this release was significantly scaled back as day-job requirements reduced production capacity at NYD.  However, NYD has just acquired another laser-cutter to widen the production pipeline a bit for future releases.

Wednesday, April 9, 2025

One Tɍough – Ditch

Ditch by Alexander Magyarics
Ditch was designed by Alexander Magyarics and entered in the Nob Yoshigahara puzzle design competition at the 41st International Puzzle Party (IPP).  Although it did not win a prize, it looked like an interesting concept worthy of spending time on.  And spend time on it I did!

Ditch consists of 12 bi-color pentomino pieces where each piece is comprised of a tetromino of one color and a monomino of a different color.  The goal is to make a 4x4 square outline with the 12 monominoes.  The problem is that all those tetromino bits get in the way of accomplishing this.

The first Aha comes early on to get you started followed by a long period of learning how the pieces can interact with each other.  Some off these relationships will help form the solution while others will lead you astray.  There were some relationships that I was unwilling to ditch that kept me from finding the solution for quite a while.  I found myself reluctant to divorce myself from these poisonous relationships and I found myself in rut with Ditch.

Pile of Ditch Pieces
I eventually gained the willpower to break off some of those relationships, giving me the freedom to engage in some new, healthier relationships.  With something old and something new, I successfully managed to extract the solution from the Ditch.

There were many times where I had one piece leftover that would not fit in the available space. The natural reaction is to start moving pieces around to see if you can change the space to something more receptive.  I can certainly attest to that.  However, if you end up with the same troublesome pieces multiple times, it's worth taking some time to find them a good match and treat them as a couple.

Much nicer versions of Ditch in a selection of exotic woods are available at Wood Wonders if you would like to acquire your own copy.

Wednesday, April 2, 2025

It’s Simple Karma – Bram’s Hinged Cube

Bram's Hinged Cube By Bram Cohen
A long time ago in a land far away, an emerging puzzle designer attended an International Puzzle Party (IPP) with a collection of new puzzle designs.  Ensconced in a nook of the hotel lobby, this puzzle master wannabe commandeered a table to artfully arrange his new creations for attendees to play with - much to their delight. At one point, someone asked if a puzzle was difficult and after no considerable reflection whatsoever, the hapless designer pronounced that the puzzle was easy.  This seemingly innocuous response would come to haunt this young ignorant but well-intentioned individual for many years.  Watching that unsuspecting victim struggle over an extended period of time to save face made a lasting impression.  However, it was a lesson well-learned.  Puzzles are not easy or hard but one may be easier than another.  A puzzle that may be easy for one puzzler may be difficult for another.  Everyone gets inexplicably bogged down on an occasional puzzle.  There are many different types of puzzles and some puzzlers are naturally better at some types than others.

Fast forward to now where I am delighted to find myself struggling on a puzzle that others on the Mechanical Puzzle Discord (MPD) have declared SIMPLE!  This puzzle is Bram's Hinged Cube - not to be confused with the Hinged Cube designed by James Storer that made the rounds at last year’s IPP.

Bram's Hinged Cube Faux Solution
Nope!
Bram's Hinged Cube was designed by ... wait for it ... BRAM!!!  Bram Cohen that is.  It consists of 8 cubes that are connected with hinges so that they can be folded into a single 2x2x2 cube.  Bram said the solution is hard but various MPD members have countered that it is easy.  Personally, although it looks like it should be easy, I found it quite a challenge.

I solved James Storer's cube at IPP last year and found it a very enjoyable challenge.  And I jumped at the chance to try Bram's Hinged Cube when it became available this year.  After having solved both, I would consider Bram' s version more difficult although both are excellent.

With Bram's Hinged Cube, there was an easier solution but it was rendered invalid with the addition of faux hinges that attempt to occupy the same space in the easier assembly.  This leaves only the more difficult configuration as the only solution.  To be honest, it took me quite a while to determine how the connected cubes could occupy the 2x2x2 space in any configuration much less a second more obscure one.

Bram's Hinged Cube With Supports
Hot Off The Press!
After finding the faux solution multiple times, I finally manged to figure out where the cubes had to go.  Then I finally manged to find a folding sequence where it was not necessary to strain the hinges providing me with the solved 2x2x2 cube.  Then I finally managed to unfold it back to the starting position.  You would think that this last bit is a no-brainer shake-the-cube-back-out process but it’s not.  Of course, I even found myself forgetting where the cubes had to go in the middle of the folding process and had to start back at the beginning again.

Bram has generously made the puzzle available on Printables for anyone who would like to 3D printed copy of their own.  The stl file was created by Brian Pletcher as a print-in-place model.  One MPD member recommended using tree supports with the angle threshold set to 20 degrees and I found this to work amazingly well.  Print-in-place models still seem like magic!  You can download the stl file here - Bram' s Hinged Cube.