Sunday, 18 August 2019

I Am So Bad at Boxes!

Yes, it's a box and it doesn't look too difficult!
I am sure that the majority of you will recognise the box pictured above and you will all laugh at me when I say that I could not open it! For those who don't immediately recognise it, it is a burrset made by the Doctor of Wood, Eric Fuller. A few months ago he released a bunch of these in different woods and due to work pressures, I was not quick enough off the mark to get one of the more gorgeous sets. However, I was just able to buy a copy of the Cherry, Ash, Walnut and Birch set just before they all sold out and have to say that I am not in the least disappointed. It is simply gorgeous even in the more mundane wood choices. Eric has put all of his usual magic into the manufacture of this set - the joinery is simply perfection itself and it looks beautiful. The lid lifts off to reveal a lovely ordered set of burr sticks which have been perfectly engraved with their piece number for selection according to the booklet of challenges.

27 beautiful burr sticks plus a "filler"
How many burrsets does one need? This is slightly embarrassing to answer - at the moment, I must say that at least 4 is the correct number!

The "42 piece burrset" by Jerry McFarland - aka the Caramel Case
314 solid burrs as well as many many additional holey burrs! Plus Jerry added an extra stick

The Ultimate burrset - by Jack Krijnen
637 challenges varying from Level 1 to level 8

The Level 5 burrset Mr KY Wu
162 possible level 5 assemblies

Eric had made this set using the exact same pieces as the Ultimate burrset which I already had above. So why did I buy it? Apart from being unable to resist Eric's work, this was named the Pen-ultimate burrset because it had been modified. The ultimate set was based on sticks made from 2x2x8 stock. The extra length on each stick made the assembly challenges quite a bit tougher in places as the lateral movements during the solution can be quite restricted. For this set, Eric had created the burr sticks from 2x2x6 stock and to enhance the puzzling the set had been analysed by the amazing genius that is Ken Irvine (check out his brilliant new blog here).

So having established that I already have more six-piece burr challenges than I will ever be able to solve (have I told you all that I am rubbish at assembly puzzles?), the next question must be where is that booklet of challenges for Eric's set? Yes, I asked that too! I had not actually read the full description of the item before clicking buy and only after it arrived did I realise that this Burrset was also a box. Apparently, there is a hidden drawer in the box which contains a booklet of challenges - hence this is a box too. It is very well disguised but when looking and feeling the box closely it is obvious where the hidden drawer is and of course, it is locked tight. So no puzzling until I can open the box...GULP!

I take out all the burr sticks from the set and admire them and search for hidden mechanisms inside...NOPE! Then I realise that stick 0 and the red stick are both solid and hence one is superfluous...or is it? Eric would not just put an extra stick in for nice packing in the box. After all 28 sticks pack as a nice 7x4 array but if there were just 27 sticks then that could easily be nicely arranged in a 9x3 array and not need the extra stick. Plus, why is one made from a different (and rather gorgeous) Padauk piece? It's pretty clear by the presence of a magnet embedded in it that that is critical for unlocking the drawer. There must be a hidden mechanism that requires the use of the magnet. I set to exploring what I could find with this magnet and there were several very nice Aha! moments. I found hidden magnets, I found that things could be done by using magnet on magnet and there I got stuck! For ages and ages! All over the internet, I saw puzzle friends opening their drawers and starting on their burr puzzling and I couldn't begin. My howls of anguish spread wide and I was encouraged by others to continue and not over-think it. The puzzling continued...but not with success.

Eventually, Eric was on FB and saw that I was on-line. He sent me a message and asked what I had found and could do. I gave a hypothesis of what else I thought I ought to be able to do and he indicated that I was correct...but my set would not do that. I was sorry to inflict pain on Eric but his response was one of absolutely superb customer service, he told me that in my set I obviously needed a stronger magnet and the following day he posted out a replacement key-piece (no extra charge at all). A week later I received another stick with a MUCH stronger magnet embedded in it. I immediately put it to the test and the much-expected movement that I had been unable to perform with the smaller magnet was now easy for me. So I did it and tugged on the drawer and...and NOPE! Aaaargh! As I said, I am RUBBISH at boxes. Yet again, I spent several evenings with my usual game of doing the same trick again and again and again and, like a mad man, expecting something different to happen at some point. Of course, it didn't and I still could not play with my burrs! Eventually, I caved in and asked Eric for a bit of help, wondering whether there was another issue with my burrset (it is very common amongst us addicts to state that if we cannot solve a puzzle then it must be broken - that gets stated many many times at the Midlands Puzzle Party).

Eric confirmed that there was more to the opening than I thought and gave me a particular but not descriptive clue which I (surprisingly) understood but could not immediately follow through with. He then said something key:
"Remember that I like to make things look like they don't move when they do 🙂"
Within a few moments of that I responded:
"Holy shit! Just found it! Damn! That's well hidden!!!!"
I have to say that I feel that I got my money's worth out of this puzzle and that is before I even got to play with the burr sticks!

OMG! At last!
Now I was able to explore the set further. There was a nice Cubic Dissection logo sticker in the booklet and the booklet itself provided the full analysis that Ken had made of the Ultimate set with shortened sticks and also including the assemblies that do not end with solid burrs:

There are rather a large number of challenges to work through:

  • The Ultimate burrset with stick-length of 8 had 535 unique solutions with voids whereas the Penultimate set here has 708 - that alone will take me most of the rest of my life!
On top of this, there are an enormous number of other assemblies possible which will provide interesting puzzling - potentially another 20,322! Homing in on the slightly more challenging ones, Ken's analysis states that there are 3,479 piece sets that require a minimum of 2 moves and a maximum of 3 moves to remove the first piece, 51 sets that require a minimum of 4 and a maximum of 5 moves for the first piece and 3 sets that require 5 moves.

Not only is the analysis an amazing and very complete piece of work, but it has also been beautifully set out in the booklet and, as long as you have good eyesight (a problem for us "older" puzzlers), then it is a work of art as well as a fabulous puzzling resource:

At last! Very small print but gorgeous and a lifetime of puzzle challenges in there! Don't tell Mrs S!
Finally, I have been able to challenge myself to assemble something. As you would expect from Eric, the burr sticks fit together absolutely perfectly! It is a pleasure to play with this set - I will assemble a few and then it will be stored for my retirement when I have a whole lot more time on my hands.

A burr assembled and the Cubic dissection sticker proudly stuck on the interior of the lid

Still unsolved - probably a box!
Finally, as proof that a puzzle is a box...Juno's Slammed car which has now sold out after it won the Jury Grand prize in the design competition in Japan, was sold to me as a Sequential Discovery puzzle which I adore. However, Juno insists that it is also a box which we have established today that I am truly awful at solving! He says:
"The puzzle has an internal cavity and it is also categorized as a puzzle box. To make the definition of the puzzle clearer, we put a loaf of bread in the cavity and it helps you to realize the goal of the puzzle."
The loaf of bread is another dig at me after George Bell stated that a puzzle is a box if you can put a loaf of bread in it and there have been several of Juno's puzzles where he has had a joke at me with this. I received my copy of this a couple of months ago and have watched in amazement as everyone has solved it around me (including my completely blind friend Ed) and I zoomed off to almost the end of the challenge and have been stuck there for weeks. Yep! It is definitely a box - not because of the bread but because I am completely unable to solve it! I will keep on working on it and hopefully before the year is out will have opened it - some puzzles take me months or even years of effort! Thanks, Juno!

Sunday, 11 August 2019

Jerry Makes a Fidget Toy

Oh, and It's a Puzzle Too!

Fidget Burr
Yep! Free the lady is the aim.
Jerry McFarland and I chat quite frequently and I was most pleased to hear that he is being kept busy making BurrNova 3D (aka Magnetic Madness) puzzles after it won a prize in the Nob Yoshigahara design competition at the 2018 IPP. After the prize was won and I wrote my review (review of the 2D version here) many people contacted Jerry to get copies and he has been kept very busy producing copies for people. At the same time, his mind never stops - he has improved my version 0.8 (prototype) a number of times and is currently on version 2.5. Whilst discussing the possibility of upgrading my prototype to the latest (mine had seized up due to weaker magnets and British high humidity), he also dropped on me that he has been thinking about other ways to use wood and magnets and make fun puzzles. He has a mind like a trap that just never stops! In fact, he told me that he struggles to make lots of copies of older puzzles because he gets easily bored.

After some too and fro by email, a pair of boxes arrived much to the anger of Mrs S and much to the eager pleasure of the furry boy cats who lurve my boxes! The first one contained my new improved BurrNova and I could see the improvements immediately and also appreciated the use of Mahogany in place of Maple:

Version 2.5 on the left and prototype (now returned to Jerry) on the right
The new puzzle was in the second box and when I showed it off to "she who is getting rather pissed off with the constant puzzle deliveries", she did state that she was sure that I had one of those already. I corrected her but I can sort of understand - Jerry's work has a certain is completely unmistakable. Yes, she is right, I do have several of Jerry's masterpieces in my collection and hence a number of puzzles that look similar. I emphatically stated that every single one of them was extremely different and she sort of grumpily accepted it.

This latest puzzle (prototype again) has a number of names: Fidget burr, Dollar burr, Chin burr or BurrNova parallel - reasons for most of these later but I think only the first 2 may stick. Yet again, Jerry added a little whimsy to the whole thing by adding the free the lady in distress element to it. It is very offputting to pick up the puzzle and see a girl staring out of it at you - Mrs S says he's got a sick mind! Immediately I found out why it is called the Fidget burr - pushing that very inviting central key piece results in a wonderfully loud and (if you're not expecting it) surprising automatic sequence of moves of 4 pieces around the edges:

Just one push leads to a whole sequence
After this, something else is possible...or not, depending on which direction you pushed the key piece and then nothing, nada, nichts and bugger all! There are inviting notches in pieces and the appearance that other pieces of the puzzle may move. I spent a day or so exploring these other pieces and realised that all is blocked. It is at this point that the name comes into play. I was singularly failing to get any further in solving this but had a wonderful time pushing it all back to the start and then Thrrrrrrrrp! setting it off again! This is a beautiful fidget toy with the added bonus of making a lovely racket that annoys the hell out of the present wife. I seem to recall that at one point she threatened to throw it out a window - disgraceful!

I fidgeted away with it for nearly a week and thought. This is an exercise that does not come easily to me and I find quite painful. I recalled other puzzles that Jerry had made and decided to try something that had worked in one of them. Suddenly I had a new move! Yessssss! In my surprise, I sat back and reset it by accident. Slightly stupid and disappointing but at least I knew what was required. It would appear that this is a fidget toy, a burr and a dexterity puzzle.

Having made the crucial hidden next move, I wondered whether any more like that might be required. Searching for them just ended up with me resetting the puzzle a few times so I looked elsewhere. The next move requires either knowledge of others of his puzzles or a very close examination of the pieces that are visible. Surprisingly, I managed this step quite quickly and found myself with a partially dismantled puzzle and a frightening step to do next...I had to remove the automatic section with its very strong magnets. All is there to be seen and it quickly came out and was set aside.

Finally, after nearly 2 weeks of play, I had a nice pile of pieces or "kindling" as Mrs S has taken to calling these sorts of puzzles:

Fabulous! The mechanism is edited out so no use peaking!
The attention to detail is wonderful, right through to the initials and year as well as a perfectly cut out hole for the princess to sleep in:

Such attention to detail!
No clues here - all details edited out

Of course, this puzzle was going set me a further challenge! How to put it back together. Jerry expected this to be quite tough and even sent a sealed envelope with a suggested approach on it. I initially tried without the instructions but could not remember what went where and looked at them after a short while. Jerry's approach did not help me at all! After an hour of trying to repeat what he had said, I gave up and went back to searching for my own method. I was eventually able to work out where the specific pieces went and then using a fair bit of dexterity I was able to assemble the automatic section in the centre of the frame in a rather fun 2 or 3 stage process which led to another of those wonderful Thrrrrrrp noises again and the rest of the puzzle was assembled. Finally back to the beginning and I had to report back. Jerry, this puzzle is a winner! Lovely idea, beautifully made and quite a challenge of both thought and dexterity in several places. I loved it.

But...........why is it called the "Chin burr"? Apparently, the reason for this name is that the final step in the reset of the puzzle needs more hands than we have. Jerry solved that by using his chin! I laughed at how dense I was but had to admit that in my case I would have called it a "nose burr" (think about it!)

This puzzle is NOT available as yet - please don't pester/ask Jerry for a copy as he is not making them for sale just yet. He is still working on it and may improve it further and it will probably be seen in an IPP design competition occurring in the next year. When it eventually does reach a stage where he is happy with it, it will definitely be worth buying.

Now I should probably put it away before Mrs S goes ahead with her threat to chop my fingers off if I keep making that Thrrrrrrp noise!

Sunday, 4 August 2019

A Puzzle that Smells as Good as it Looks

...and is a Wonderful Challenge!

Ternary/Quinary Cube
As I write this the IPP is coming to a close and the prizes have been given out. I will leave the winners announcements to the official channels but the winners are well deserved. I try to keep those of us who cannot attend amused with tales of puzzling, failure and eventual success (no violence on my person this time).

The boyz are always keen to investigate any boxes that arrive - who knows, maybe there might be treats inside for them or, failing that, there will still be a box for them to sit in. This week, however, they were particularly interested in this box. It came from South Africa and maybe it had some of my (and their) favourite Biltong inside...Drool! They went crazy sniffing at the box and kept pestering until I eventually got around to opening it. I think they might have been slightly disappointed in the lack of meat inside but I was truly delighted with the puzzle I received. My good friend Johan Heyns has collaborated with the incredibly talented designer Aleksandr Leontev (Александр Леонтьев) to produce a stunning copy of his Ternary/Quinary Cube. I was delighted with my copy of the 136-minute cube and 205-minute cube (variations on the Sequence cube) which I reviewed here. Aleksandr seems to be the current Master of the N-ary puzzle which I am completely addicted to.

When Johan offered this puzzle for sale, I immediately said yes and hoped that it was possible to manufacture it. This type of puzzle can be fraught with unexpected difficulties. The original Sequence cube proved impossible for Aleksandr to produce in a stable fashion and the Ternary/Quinary cubes have not been without significant challenges and a setback. Luckily for me, Johan persevered and I received a wonderful puzzle in the post. Why were the cats so excited? I'm not entirely sure but Many of Johan's puzzles smell absolutely wonderful. This particular puzzle has a lovely cinnamony smell - I had no idea the cats would be attracted to that aroma but they definitely gave the puzzle a good investigation when it was freed from the packing.

It is made from Angolan Kiaat (corner blocks and smaller sliders), South African Kiaat (large sliders) with the maze plates made of Wenge separated by Pau Marfim. There are also brass side brackets and steel screws. It is a decent 9cm cube with a few protuberant screw-heads - very tactile and pleasant to play with. Also in the box was a small Allen key (only Johan and Eric have ever provided a tool with their puzzles before) and a leaflet with a little information on it as well as instructions on how to change between the two setups. The puzzle arrived setup for the Ternary challenge which is a nice easy level challenge.

The evening that it arrived I set to work. The very beginning of the Ternary cube was immediately unusual because it had an entry sequence before the N-ary component began - I don't think I have ever come across that before. After about a ½ hour, I had come to the end:

At the end of the Ternary solution sequence
Interestingly, the maze pathways are completely hidden for almost the entire process with only the very early segments visible at the very end. I removed the four sliders and balanced them on the sleeping lap-cat to examine how the puzzle was constructed.

Incredible design and construction
I had not paid any attention to the sliders that came out and where they had originated. I assumed that they were identical...STUPID BOY! At this point, a small expletive might have left me as I realised that I could not put the sliders back in and reverse the process to the beginning. The next 10 minutes required a fun and very close examination of the pieces and the pathway and how they may interact at the very end of the solution. Another Aha! moment arrived when I understood how it had been constructed and I was finally able to embark upon the reverse process. That evening I was happy with my progress and went to bed reassured that I was able to finally solve something. The following day I went to the end of the solution, took the sliders out again and then read the first step of the instructions to set up the next (Quinary) challenge. I was a little alarmed at the instructions
I disassembled the parts that I was supposed to and marvelled at the tremendous skill in the design and construction:
Two halves separated releasing the maze plates

Details of the maze pathways (Quinary)
It is possible at this point to see how clever they have been in creating this masterpiece...the maze plates are held tightly onto the separation plate by small (but strong) magnets. Without paying much attention I pulled the plates off and set them back on the separation plate with the Quinary mazes pointing outwards. I quickly put it back together only to realise that I had absolutely no idea how it had all been oriented when I took it apart and, you guessed it, I could not put it back together again! I repeat...STUPID BOY!

I disassembled it again and rotated a plate and...nope! I tried again and rotated the other plate and...nope! OMG! I was in trouble! I reset it back to the Ternary setup and...nope! Aaaargh! I really should have paid attention to how it came apart. I spent the whole evening trying to assemble the puzzle and was rewarded after an hour or so with finally getting it back to the puzzle that I had already solved...PHEW!

The following evening I tried again - unscrewed all the nice screws that the instructions told me to and then removed the maze plates but left the sliders in place. The maze plates can be rotated either horizontally or vertically so I picked one and put it back together. Yes, you guessed it! That's a nope! Aaaargh! At one point I did manage to get to a conformation that would allow the screws to be screwed tight and with some relief, I went to work on the Quinary challenge (level 1251.2.2.2) only to find that after 4 moves, I was blocked from doing anything else - NOOOOOOOO!

So I took it apart yet again! Looking at the maze plates, I realised what I had done wrong (it took me another 20 minutes) and rectified the situation. That was the end of that day's puzzling. Yesterday I was finally able to have a play at the quinary solution. It is interesting that I found the longer challenge much more confusing than I was expecting. I have solved the Kugellager 7 (septenary) and 8 (Quinary) puzzles and apart from getting lost due to not paying attention, I solved them without difficulty. The Quinary cube took me by surprise with the confusing sequences in the solution. The fact that it is a blind solve makes it really difficult to predict the moves and it requires constant exploration. I was watching a film with the current wife, Whack! Ouch! and did find myself getting lost on several occasions and only realised it when I reached a position that was very obviously not a progression. The Quinary solve was VERY enjoyable and took me the best part of 2 hours (probably 2500 moves).

At the end of the Quinary solution
I am truly delighted with my purchase - Aleksandr continues to prove that he is a master of N-ary design and Johan is an incredibly talented craftsman. The fruits of the collaboration are revealed properly when the puzzle is solved and disassembled:

Inscription on one side of the separation plate

Johan's stamp
Intellectual Craft
I recommend a regular visit to Johan's store to see whether there is anything of interest to you. His workmanship is wonderful and puzzles are always a bonus when they smell nice and let's not forget that many come with a nice stand too. I still have my copy of Matrix next to my armchair taunting me - one day I WILL solve it!

Doesn't look like much - I have failed at it for 2 years!

Sunday, 28 July 2019

Jerry Loo's Dirty Dozen and an Opportunity For You

Dirty Dozen, an exceptional puzzle from Jerry Loo.
Hi guys, I have been terribly remiss...I have failed to solve anything in the last week or so! Not for want of trying! My arse has been thoroughly kicked by the Slammed car and even a couple of my twisty puzzle purchases have caused me thorough misery. I have to admit that I am absolutely rubbish at this puzzling stuff - maybe I should give it up? Luckily for me, my good friend and helpful foreign correspondent has chipped in with a brilliant post about a puzzle that I have solved but never gotten around to writing about. Jerry Loo's Dirty Dozen.

Of especial importance just now is that you have a chance to buy a specially made copy of this wonderful puzzle from the great guys at PuzzleMaster via a Kickstarter campaign which they have set up. Their copy of this lovely puzzle will be made in anodised aluminium rather than stainless steel but the three puzzles available look fabulous and are really great value. So without further ado, over to Mike for a wonderful guest post:

Aloha Kakou puzzlers,

The topic of today’s post is designer Jerry Loo’s Dirty Dozen puzzle. Kevin owns a copy and I fully hope and expect that he will chime in liberally on this post, if not add a complete epilogue. In my not-always-humble opinion, it is worthy of extended treatment from multiple perspectives.

For those not in the know, Jerry Loo is an accomplished puzzle collector/designer/blogger hailing from beautiful, tidy Singapore. Jerry began blogging about puzzles in 2011, amidst a veritable explosion of puzzle blogs (e.g. Puzzlemad 2011, Allard's PuzzlingTimes 2011, Gabriel's Puzzle Collection 2010, and Roxanne’s Frustrations 2010). Jerry’s site, recently migrated and relaunched, is what I consider to be one of the Big Four. Check the sidebar and see if you can guess which ones I mean. If Puzzlemad is not in your four, you are dishonourably discharged (Ed - I'm not sure I agree with that...why would anyone read my drivel? Except for the exciting guest posts). Read no further.
How does one get into the Big Four? Launching your blog in the early part of this decade would have helped. Page hits are also clearly an important criterion. You should be approaching a million by now (Ed - amazingly, I am up to 1.28m page views now). That’s not much in this medium, I know, but we are talking puzzles after all. I suppose the main quality that differentiates the Big Four from others is pure consistency over time. Many great puzzle blogs have come and gone over the years. Most start strong but burn out and fade away in short order. Believe me, it’s not easy to do this regularly (Ed - tell me about it!), let alone every single week for nine years like my cherished but possibly deranged editor (Ed - maniacal laughter ensues!). The average person, and even the above-average puzzler, simply can’t maintain the pace. Most of us have full-time jobs, families, and/or cats to attend to. But somehow, someway, Jerry and a few others have managed to maintain consistent output at a very high-quality level for many years. These, then, are the Big Four. I should also mention that some former greats have flirted with revival and some late starters (Alcohol and Alcoves) have achieved greatness in record time. It can be done but requires a demoniac level of enthusiasm and commitment (Ed - or incalculable madness in my case).

Jerry’s  L(8)tice-2. How hard could it be? Very hard indeed. (photo from JL Puzzles)
Beyond his blogging accomplishments, Jerry is also a skilled designer. In fact, that has been his main focus for a while now. I first interacted with Jerry years ago when I was trying to get my hands on Ball in Cylinder, one of his first design efforts. He now has a wide range of designs under his belt in multiple puzzle categories, many of which have gone into limited production. His early efforts with the machined-metal hidden maze type evolved into a focus on packing problems, benefiting no doubt from his association with fellow countryman and esteemed designer/collector Goh Pit Khiam. Presently Jerry is exploring interlocking, assembly, and packing type designs using BurrTools. You can check these out at puzzlewillbeplayed. L(8)tice-2 was, I believe, the first interlocking design to meet Jerry’s characteristically high puzzle quality standard and was eventually produced in stainless by Metallofactura. It is still available now for $43. As Jerry notes, L(8)tice-2 builds on Andrei Ivanov’s Lattice Xi-2, itself inspired by Yoshiyuki Kotani’s ξ-Lattice. Quite a genealogy and I am lucky enough to own the former two. L(8)tice-2 is very tough - my copy remains unassembled to this day (Ed - indeed, mine was sent disassembled and remains that way as well!). Jerry, the designer himself, still uses Burrtools instructions to's that tough. Lattice Xi-2, with fewer pieces and a different release mechanism, is definitely more approachable, but by no means simple to reassemble. It took me quite a while.

The basic piece.
These early design efforts led, in time, to the 12-piece Dirty Dozen. Despite a relatively large number of pieces, Dirty Dozen has an elegance and beauty not found in L(8)tice-2, or most other board-matrix designs for that matter. This is due in large part to the fact that it is composed of only one basic piece. That is correct, all 12 components are identical. This is not nearly as easy to accomplish as it seems. I maintain, based on no actual evidence (Ed - hahaha! We are all entitled to an opinion!), that there are many more ways to construct a self-locking board matrix using irregular pieces than identical pieces. The self-locking quality is critical, and in a way separates the board matrix from the true board burr, which is necessarily held in place via tension. The charm of the board matrix, at least the examples I have played with, lies in its capacity to deform in a rather alarming manner but never throw a board out of the lattice. Dirty Dozen, faithful to this design requirement, is extremely unlikely to come apart. I won’t say impossible, but nearly so. It will take on some interesting rectilinear shapes, threatening always to let lose a piece and shatter the whole edifice. But it never does. As far as I or anyone else has found, there is no way for it to come apart without a very specific sequence of actions (Ed - I have never found any other way to dismantle it).

Deforms pleasingly, but it won’t disintegrate.
The third leg of the stool and the most important quality for any puzzle is, of course, the solution process. Dirty Dozen delivers on this count. The solution is right square in the difficulty sweet spot and, further, rewards one with a deep structural understanding of the puzzle, not simply relief at having gotten it back together. At least for me personally, memorizing a complex movement sequence doesn't really qualify as properly “understanding” a puzzle (Ed - sometimes it's the only way that I manage it!). By this measure, not all puzzles are truly understandable (Ed - aaargh! What about this?). The only downside to an understandable puzzle is that it may have dramatically reduced replay value. That’s the trade-off. But honestly, how many people actually replay (disassemble and reassemble without instructions) highly complex burrs? Not a lot and not very often would be my guess (Ed - don't tell Mrs S, but I rarely replay any of my puzzles once they are understood). Non-understandable puzzles also have replay limitations.

When I ordered Dirty Dozen from Jerry, I had no idea at all what kind of solution it had, nor a clear idea of its difficulty. I asked him (with some trepidation) to deliver it unassembled. I didn’t do this lightly. There is nothing worse than brashly requesting an unassembled puzzle and then having to slink back for the solution a month later. But knowing that the pieces were identical signalled to me that there might be some higher-order logic to this puzzle. I went for it, and am glad I did (Ed - braver than me - or maybe more stupid?).

In most cases, ordering an assembly puzzle unassembled is the clearly more difficult option. You don’t have the advantage of carefully taking it apart, studying the structure at various steps, and even taking photos (I’ve recently learned). However, disassembly can be a significant challenge for Dirty Dozen because of the way it locks. The initial (or in my case final) move to lock the puzzle into shape is certainly not self-apparent. Given the way the puzzle moves, one might be searching in a whole different conceptual area for a long time. Kevin did not have a tough time with disassembly, but he is, of course, a very experienced solver, despite his protestations (Ed - hahahahahaha! Maniacal laughter ensues!).

The pieces (plus eight more).
Assembly for me took about four hours of work over a couple sessions (Ed - OMG!). According to the literature, 23 “moves” are required to fully construct the matrix, in the order These sequential solution move counts are largely an artefact of Burrtools design and analysis, serving mainly as a proxy for difficulty level. Useful though this information can be for some puzzles, it can also be classified as inconsequential trivia for others, such as Dirty Dozen for example. It could also be considered a major hint, in some cases.

Although this puzzle has only one possible final configuration, it does have some that are very nearly possible. One such involves the completion of 11 of the 12 pieces. So very close! I got hung up trying to make that work for a long time before I finally gave up and backtracked. Such tantalizing dead-ends contribute significantly to the enjoyment of this puzzle (Ed - you are a sucker for punishment!). The solving experience is generally optimized when there are just enough false assemblies to be challenging, but not so many as to be completely overwhelming. Dirty Dozen straddles this line nicely.

The overall structure of Dirty Dozen is especially notable. Twelve pieces is a pretty high count for a board matrix, with potential for dizzying complexity. It helps to temper this somehow. For Dirty Dozen, this is achieved through the use of identical component pieces exhibiting a very pleasing nested symmetry. The exterior four slots reflect, and the interior two rotate 180 degrees. That second part can be a real help during reassembly. But I think it is particularly interesting how the assembled structure, viewed in plan (90 degrees off the plane on which we observed the component slots), retains these symmetries. The centre has a 90-degree rotational symmetry, and the pair of sides are faithful reflections of one another.

A nice reflection.
An equally nice 180-degree rotation.
Isolating some recurrent symmetries.
Perhaps this was to be expected, and surely it could occur even if the slots were of differing sizes, but I still find it intriguing. I wonder how a designer might play with different configurations of identical pieces, and how far out these symmetries can be extended while still crafting a “good” puzzle. For a case study, check out Goh Pit Kiam’s Partitions, a puzzle I frustratingly missed out on during its initial, and possibly only, JL Puzzles production run.

Back to the solving. Four hours sounds like a long time, and for some puzzles that can seem like an eternity. What makes me so upbeat about Dirty Dozen is that it was legitimately a fun puzzle to work on all the way through. Exploring the way the pieces fit or refuse to fit, and gaining an understanding of the constraints and possibilities was very enjoyable. The false constructions provided a really good challenge and the necessary build-up to the final solution. Some puzzles have singular, ecstatic A-ha! moments, while others like Dirty Dozen offer quite a few small A-ha!'s along the way, and then more of a whoosh of satisfaction when the final piece is placed. What I am trying to say is that this is a really fun puzzle. It has an appeal well beyond the hard-core crowd, in my estimation. It would be a perfect addition to a commercial line (Ed - well that would be coming right up!). On the hard side of the line, but certainly within the ability of the average person with above-average motivation. And the manufacturer only needs to produce a single piece. How efficient is that? Precious few puzzles can translate well to a mass audience and be economical to produce. This might be one of them.

Impassive stainless steel beast.
For the moment, you will need to get your copy direct from Jerry (Ed - this was written and sent to me just before PuzzleMaster decided to start a Kickstarter campaign). He has produced several colourful, affordable, acrylic versions, but I was very happy that he made the extra effort to produce Dirty Dozen in stainless steel (Ed - me too! I lurve my copy!).

It is especially impressive to stack the identical pieces like this
I highly recommend that all serious puzzlers and collectors get this version. It is delightfully hefty at 640grams and is completely indestructible. You could run this puzzle over with a tank and I’m sure it would survive intact. No exaggeration. Let's just hope Dirty Dozen gets back on the market in the not-too-distant future (Ed - no sooner said than done!). Partitions too, for that matter, because I really need that puzzle.

To conclude, Dirty Dozen is a great design and a winner on all levels. I have not played with all of Jerry’s many designs, but I will go out on a limb and claim that this is among his best. It exhibits a blend of qualities that all designers aim for, but so rarely achieve—meaningful structure, simplicity, elegance, and that elusive difficulty sweet spot.

Ok, Kevin, that’s all I have. Take us home...

Thank you so so so much, Mike, for bailing me out yet again! I am eternally grateful to you for taking the time to write this post - it is quite clear that you take a lot of time and effort writing it.

I am not sure why I have not written about this puzzle before - I agree fully with your analysis that this is an absolutely brilliant puzzle and essential for every puzzler's collection. I am truly impressed that you were able to solve this as an assembly puzzle - I could not have managed that but for others thinking of buying a copy, it is just as much fun, if slightly easier, solving this as a disassembly challenge. The stainless steel version is incredible but in the absence of a supplier for these, it is still worthwhile buying in acrylic or, as will be happening very soon, in anodised aluminium - there are just 7 days left on the Kickstarter campaign to get the Dirty Dozen and L(8)tice designs from Jerry and I would heartily recommend getting both (but expect the L(8)tice to be the tougher of the two). The Kickstarter campaign also includes one of Ray Stanton's wonderful coordinate motion designs, the Slideways burr - I have written about 3 of the shape transformations of these made by the New Pelikan Workshop:

Slideways Cube
Slideways ball
Quad Slideways ball
If any of you feel the urge to contribute a guest post to help me maintain my weekly streak of publishing, then please contact me and we can come to some arrangement. In the meantime, I had better solve something quickly for next week!

Enjoy the rest of your weekend - keep puzzling!

Sunday, 21 July 2019

Diniar A-mazes me and Unlocks Just the Right Combination

Every year around now (i.e. just before IPP) I have a little chat with the King of the sequential movement puzzles, Diniar Namdarian, about his latest releases. He shows me a bunch of pictures of stuff he has designed and made and I pick a few. After a minute or so (the chat is via FB messenger so often a little disjointed), he asks whether I really don't want to choose one or other and makes a comment like "that one is really good" or "it's the best of the bunch" and I hesitate for a moment and tell him that I will buy them all. This happened yet again this year and I received a bunch of new toys a while ago. The latest batch looks like this:

I cannot resist the colours!
After the wheeling and dealing have been done, I usually have to admit to him that I have failed to solve one or other of his previous creations and he very gently makes fun of me. The problem is threefold...

  1. I cannot resist buying all of his creations (they are really reasonably priced),
  2. They usually have multiple challenges and come with a wonderful ebook of delight,
  3. I am simply rubbish as sequential movement puzzles!
The Mazeburr-L immediately sprung to my attention amongst the pictures he showed me. The name Mazeburr for me is synonymous with fun...I have all three of the other shaped Mazeburrs and have an extensive supply of challenges for them.

Three Mazeburrs so far now I have another to add to the series.
The existing Mazeburrs (including the Split Mazeburr which I reviewed in March this year) all consist of a bunch of maze plates on the surface of a shape with pins that protrude into the maze from plates underneath. The aim is to remove the plate with the opening on it by effectively navigating multiple mazes simultaneously. They vary in length of solution from a nice easy 20 moves up to an impossible (for me at least) 350 moves. They are a delight to look at and a delight to play with too. The Mazeburr-L consists of sticks with gaps "cut" into them and a frame to hold them in place but that is where any similarity ends - the aim of this Mazeburr is to manipulate the gaps in the sticks to allow you to advance the little blue ball from its' starting position to the square exit hole and then out (in the picture at the top the blue ball needs to move from the top right position to the bottom left where you can just about see a small gap in the covering acrylic.

Diniar provided a lovely 16-page ebook (which lives on my iPad) to go with the puzzle and I have been working my way through the challenges. The sticks are all numbered and each end is marked with an 'a' end and a 'b' end to ensure that the puzzle is set up in the correct orientation:

22 different burr sticks
Initially, when I started playing I felt I had to guess where the gaps were going to be (or remember where they had been from setting up the next challenge when I realised that Diniar's attention to detail was superb...It's impossible to see it in my photos but there is a groove printed into the top surface of each of the sticks marking the position of the underlying gaps. This means that guesswork is not required. Once the puzzle is set up as shown in the diagram (complete with start and end position) then play begins:

Just 6 of the 84 challenges
Notice I have been marking the ones I have solved off in my pdf viewer app
The sticks all lie within notched grooves forming a 3x3 grid and each of the sticks can be in any of 7 positions (they all start in the centre of position) and they need to be moved where the gaps will allow. This moves the gaps around and then the ball can hop through the gaps into adjacent spaces and then the sticks moved again to set up the next move of the ball. At certain points, there are several options for where the ball could be moved and as the decision tree widens the puzzle gets tougher. On many occasions, I found myself fairly close to the exit and blocked, needing to backtrack a fair way to an earlier part of the decision tree. This can get quite confusing at times but is very rewarding when the ball finds its' way out.

Solved it - on to the next one.
The solving process for me is a mixture of logic and trial and error which, for me, is rather soothing. The challenges escalate in the number of moves required but I seldom manage to solve them using the minimum number of moves. The difficulty level, like the other Mazeburrs, is not really just a function of the length of the solution (the longest is 45 moves), it is much more related to the size of the decision tree and how much back and forth is required. I found most of these quite soothing to solve (I have solved just over half of them so far) although I have been forced to play with this one when Mrs S is not in the room - the ratcheting in the burr stick grooves means that every single move of the sticks makes a clacking noise and if they move several notches at a time (up to 6) then there is a very annoying (to Mrs S) THRRRRAP sound. I guess that if I need to make 30 or 40 of these noises for each challenge then Mrs S may well go beyond the Whack! Ouch! and may even melt the plastic puzzles and encase me inside the molten mess (especially if the pile of burning wooden puzzles is still alight).

Lots of pieces and spares too
Diniar provided a nice little bag with all the sticks inside as well as spare blue balls (because everyone needs more blue balls!) and also spare corner pieces which may snap after repeated flexing to open the puzzle up. I have to say that this has been a wonderful purchase and for the number of challenges has been fabulous value for money. Diniar always prints his designs so well and puts so much thought into the challenges - when he makes them available, don't hesitate, just say yes!

Combination Lock
The one puzzle in the bunch that I hesitated on was the Combination Lock - I hesitated because it is just a single challenge and looks like a free-form sliding piece puzzle. I am simply terrible at this sort of puzzle. So when I left it out of my selection, Diniar put me straight and I quickly gave in. Let's face it, these are 3D printed and are not terribly expensive. Straight up, let me say, Diniar was right! This puzzle is a lovely challenge and a beautiful little voyage of discovery.

The aim is to move the lettered buttons from the start position at the top into the end positions along the bottom right-hand side. They move via the slots in the centre rotational piece and obviously, will need to be moved back and forth via the extra "storage area" on the left-hand side. To you, this looks easy but, to me, it looks like an impossible task. I have had this next to me in my pile of puzzles to be played with for a few weeks and have not dared to pick it up until now. This week I had a little free time when I had to wait for Mrs S to attend the dentist. I gave her a lift and stopped off in a nice little cafe to drink, stuff my face with a cake and play with toys (much to the amusement of both other customers and the baristas). With trepidation, I took it out and quickly started to move pieces around.

It becomes obvious quite quickly that, whilst it looks like there is a lot of leeway to move pieces, there are actually considerable constraints to what you can and cannot do:

The deepest slot in the centre cannot be accessed from any of the start positions due to the length of the arms of the slot which causes a problem later on in the solve, the shallow slots in the centre don't allow full movement of the pieces to or from the storage area and the centre cannot rotate much when pieces are in any of the shallow storage slots.

The learning curve is quite steep, I discovered the above constraints very quickly and gradually found more problems as I moved pieces around and found the moves that I wanted to make in the order I wanted to make them very definitely hindered. I had a nice 45-minute wait for Mrs S to have her mouth "seen to" (unfortunately the lips were not sewn shut preventing the frequent furious talking to that occurs chez Moi - Whack! Ouch! Sorry dear! This amount of time was just about right for me to have my coffee and a sneaky cake (Whack! Ouch!) AND solve this wonderful challenge:

Done it! Fabulous!
Diniar was right - when you buy any of his latest releases then you MUST ensure that this is in the purchase. It is just the right difficulty level, with several Aha! moments and a satisfying end. The reverse process is also a challenge (I doubt that you will remember the sequence that you performed to get there). This is also perfect for kids and newbies to try their hand at.

Thank you, my friend, these were wonderful.


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