Puzzle DNA – Edge Beveled Cubes

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.  

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.

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.

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.

Triangular Pyramid