Category Archives: Puzzle Creation

From Square Sticks to Cubes

I recently wrote about the first of my puzzle making jigs to create square sticks as the first stage in creating the building blocks of many puzzles. With that jig successfully completed, and working pretty well, I had to move to the next stage and create some cubes. I said in the Square stick post that I’d tell you about it soon. Well, soon is now, and it’s time to make a crosscut sled!

The starting point for a crosscut sled

The starting point for a crosscut sled

For this jig, I needed a larger platform than the square stick jig, and as such I was going to be using both miter slots on the table saw. I cut myself a slab of MDF and marked it up for adding runners. I don’t have enough of the fancy metal miter bar that I used for the last jig, so I made my own. Starting with a strip of wood rough cut to the correct size for my miter slot, I sneaked up on the correct width by taking thousands of an inch off at a time until I had a snug fit. It didn’t take as long as I thought it might, and I think I now have an even better runner than the metal versions I used on the first jig.

My intention was to drill and counter sink holes in the top of the sled and screw straight into the runners below. Sadly that didn’t quite work out as planned as I didn’t have screws which would fit. What I had was either too short or too long so I had to go to Plan B. I decided to screw through from the runner side into the base. As it turns out, it wasn’t too much of a change and in the end achieved the same end result.

Runners mounted and a slot cut

Runners mounted and a slot cut

With the runners mounted, I flipped the jig over and tested the fit in the miter slots with the blade below the table. I had a couple of spots which were binding slightly, so I lightly sanded the offending areas until I had a tight but smooth fit with no wobble in the jig. For anyone wondering, the way I found out where the runners were binding was to run a sharpie along the length of the runner sides, then move the jig in the slots. When you take the jig back out, where the sharpie has been rubbed away is where you need to remove a small amount of material. Simple yet effective!

With the sled moving smoothly, I raised the blade up, and cut myself a slot part way through the sled. That slot will help aligning the crosscut fence as I need it to be perfectly square to the blade. Without having the blade through the sled that would be almost impossible.

Some reinforcement across the back of the sled.

Some reinforcement across the back of the sled.

Given the slot I’ve just created, I now have a potential weak point in the sled where it could flex, and degrade the cut. Despite how it may look in the photograph, I wasn’t trying to create a wing to add down-force to the sled.

Each of the three spacers on either side is screwed to the piece below with three screws, and gives enough clearance that with the blade raised to the point that the blade stiffeners are just below the base of the jig, it doesn’t cut into the cross bar. The cross bar keeps either side of the sled stable and prevents any twisting or warping of the sled. Yet again simple but effective. (I’m liking the fact that I can keep things simple. Less chance of things going wrong!)

A beautiful Dragonfly that stopped to see what I was doing

A beautiful Dragonfly that stopped to see what I was doing

Given that it was getting on for around 5 hours that I’d been working on the saw and building the jigs by this point, I took a break, stretched out my legs and back and relaxed for ten minutes. While I was doing that, I spotted a dragonfly floating around the garden. Standing watching him for a few minutes, he landed on the radio antenna for our car. Given that I still had the camera in my pocket from taking pictures of what I was doing, I grabbed it, as he posed for me! Looking at the pictures later, there really came out well, so I thought I’d share…

Anyway, back to the jig …

Adding the fence and a stop

Adding the fence and a stop

With the back reinforced, I had to add the fence to the sled. The important thing here is that it is at exactly 90 degrees to the saw blade. If it’s off, then the cut will not be square, which isn’t going to make for a good cube. Using the best square I have, I sat one edge against the blade, and the other against the fence board I’d cut. Keeping both edges in firm contact, I drilled one screw hole, counter sank and then screwed the fence to the sled at one corner. With one corner in place, I double and triple checked the fence was square, on both sides of the blade (using two squares). That may be a little overkill, since the blade shouldn’t be different on either side, but I figured it couldn’t hurt!

Everything checked, I pre-drilled and screwed the other side of the fence to the sled, and checked again for squareness. With everything looking good, it was time to add the stop. Now this was something that I’d been puzzling over for a good few days at this point, and hadn’t really figured out how I was going to perfectly measure the offset so that I ended up with good low tolerance cubes. As is ever the case, the answer came to me when I least expected it, in the shower in the morning before heading to work.

The answer. Make sure that the stop is far enough from the blade to make the biggest cut you’ll need, plus a bit. The reason … Well if you properly size a piece you want to cut (and I’ll get to that) then you can use that piece against the stop, then cut a ‘spacer’ by placing it against the fence, and the piece you want to cut, then cut that piece. You get a perfect spacer, and no complicated measuring required. (Other than the piece you want to end up with). Yes, I know that’s all very confusing, but I’ll annotate the pics below and it will make more sense!

Clamp removed now that the stop is screwed in place

Clamp removed now that the stop is screwed in place

Having screwed the stop in place I could remove the clamp. The stop is placed 6″ from the blade. I’m unlikely to ever cut a stick that needs to be 6″, unless perhaps I’m making 18 piece burrs, so this is lots of space to create whatever sized stick I need.


Creating the spacer for a single cube

Creating the spacer for a single cube

If you click on the image on the left, you’ll see I’ve annotated it to make my previous explanation simpler to understand. The single cube in walnut was created by shaving a few thousands at a time from the edge of the block and measuring after each pass until it matched the dimension of the square stick. In some regards, that is probably the most time consuming part of the process, as if you take off too much, then it’s a case of starting again.

With the first cube created by hand, it can be placed against the stop, then a long stick placed against it to create the spacer. In the diagram, you’ll see I created mine from some of the redwood sticks I’d cut when I was testing the square stick jig.

Batching out some cubes

Batching out some cubes

Now it’s a simple task of swapping the order of the pieces so that the spacer is against the stop, and batching out some cubes. I’ve used a clamp to keep the spacer in place, both against the fence, and hard up against the stop to make sure that it doesn’t move between cuts. It’s also important after each cut to clear out any dust that gets between the block and the fence as this will affect the accuracy of the cut. It is possible to adjust the spacer by adding feeler gauges between the stop and the spacer and before each run of cubes, I’ll need to check the sizes to make sure everything is within an acceptable tolerance.

Running through a few cubes, each cube came out almost perfectly. The worst cube had a tolerance of 0.001″ from the size of the square sticks. I can’t really complain when the cuts are that close. It’s going to be pretty good for any initial puzzles I make.

Making double size cubes

Making double size cubes

Now with a few cubes cut, I measured them, and selecting two that were exactly cubic, I placed them together and verified that the length was exactly double that of a single cube. Repeating the process I had used for the first cube, I cut a ‘two cube spacer’. This spacer will let me make double sized cubes, perfect for making any of Stewart Coffin’s Convolution/Involution/Involute puzzles.

Let the fun commence!

Cutting Square Sticks

The start to many a good puzzle is a square stick. But not just any square stick. One which is accurately sized along its length and each side square to its neighbor. Not an easy task.

A while back, Scott Peterson sent me a tutorial for building a table saw jig to create square sticks. Over the Labor Day weekend which is a holiday for us in the US, I set about making the jig (mostly) following Scott’s tutorial so that I’m firmly on the road to making my own puzzles. Scott kindly game me permission to make the tutorial available to anyone that wants it, so feel free to download a copy.

The following is my attempt at creating square sticks …

Starting off with a sheet of 3/4″ MDF I cut myself a strip that was wide enough to go between the miter slot and just past the blade of the saw. I left a good sized area on the other side of the miter slot so I had room to attach a handle to help push the jig through the cut, and back after the cut. I marked the position for the miter bar and after pre-drilling the holes, screwed it in place.

Preparing to attach the miter bar.

Preparing to attach the miter bar.

Miter bar attached to the base of the jig

Miter bar attached to the base of the jig

The miter bar that I bought has plastic screws that protrude from one side to ensure that the bar is a perfect for for the slot. Taking some time I adjusted each of the screws to make sure that there was no wobble in the slot, as this would compromise the cut.

Taking Scott’s advice, I also added a UHMW plastic base to the cut side of the jig to back up the cut and help prevent tearout. Using blue tape I secured the plastic to the base, and marked out the positions for the screws, predrilled, countersunk then screwed the plate down. The Blue tape came in really handy as it’s almost impossible to mark the UHMW plastic with a pencil.

UHMW plastic set in place ready for drilling and screwing

UHMW plastic set in place ready for drilling and screwing

The UHMW screwed down.  Note the screws are all below the surface of the plastic

The UHMW screwed down. Note the screws are all below the surface of the plastic

With that done, It was time to make the first cut, and trim the extra material that I had left off the edge of the jig, ensuring that the blade ran along the edge of the jig which is needed for an accurate cut. Making sure that the blade was at 90 degrees to the table top, I made the first cut. And immediately noticed that there was a gap at the front of the jig which wasn’t there at the back. It was pretty small, but enough that I could see light between the blade and the jig, so I knew the jig wasn’t good enough. It seems that I didn’t do a good enough job of adjusting the miter bar, so I readjusted, and remade the cut. Fortunately, I’d left enough space between the edge of the jig and the screws holding the UHMW plastic down to be able to do this. This time things were much better and I got the accurate cut I was looking for.

Ready to screw the fence to the jig

Ready to screw the fence to the jig

The magnets to hold the steel bar in place

The magnets to hold the steel bar in place

Fence screwed gown and ready to go.

Fence screwed gown and ready to go.

Next up I need to install the fence on the sled which the stick will be clamped against when making the square sticks. As Scott notes in the tutorial, I have a steel bar as a spacer, and use some brass feeler gauges to get an accurate cut. I also embedded some Neodymium magnets in the fence to hold the steel spacer firmly against the fence. The fence is clamped securely against the saw’s rip fence, then predrilled and screwed down.

Those eagle eyed readers out there may notice a couple of extra drilled holes in the fence. Well yet again, I managed to get things a bit wrong, and screwed the fence in a little squint. Now that’s not a lot of use when you’re trying to get accurate cuts, so I re-drilled and re-attached the fence. So there’s a couple of extra holes there now. It won’t affect the jig, but a squint fence would have!


Adding some toggle clamps to the fence and I have something where my fingers are well out of the way, and the sticks will be firmly held against the fence.

Cutting a stick square

Cutting a stick square

Ten minutes later; five identical sticks

Ten minutes later; five identical sticks

With everything set, It was time to put some sticks in there and see if I could make some square sticks and whether they would be accurate or not. At this point I was looking to test the jig, so I used some redwood I had to spare, and ripped it into roughly sized sticks. Now you’ll notice the knots in the wood so even I knew things weren’t going to be perfect. Still it was good enough for a test.

Measuring the sticks using my digital calipers, I am getting sticks with a 0.005″ tolerance between either end of the 12″ sticks. That’s not too shabby. Given the knots in the wood, which will most likely make it twist as the knot is cut, I’m fairly happy with the results. At this stage in my puzzle making career, it should be more than accurate enough for making cube based puzzles, and burrs.

But that’s not the end of the story ….

I came back to the jig in the morning, used some walnut that I had bought a few weeks back for making puzzles, and used that to get some square sticks. The walnut is much nicer wood, no knots, and a beautiful grain to it …. The results. I cut four 9″ long sticks with a tolerence of 0.002″ across all four sticks. Now that’s a result I’m proud of!

Next up, I need to create a crosscut sled so that I can cut these sticks into accurate cubes for use in making puzzles. That post is coming soon, so stay tuned.

Impossible Cubes

There’s been quite a lot of talk on a few of the forums I frequent over the last few months about impossible objects. These are things like packs of cards inside a glass bottle, still with the clear plastic wrapper on them, solid wooden arrows through bottles, and other such seemingly impossible items.

Some time ago, I created a couple of impossible objects as I had just bought some woodworking tools, and wanted a simple project.

Impossible Cubes

Impossible Cubes

I’ll not explain how these are made, since there’s plenty of videos out there showing how it’s done, but the interesting thing about these is that the small cube trapped inside is too large to fit through the holes, making it a seemingly impossible object. The wood is the same for both of these, the only difference is that the one on the left has had a couple of coats of shellac added.

Having created the one on the left, I decided to see if I could go one further. The Cube on the right is the result of attempt number 2. The first attempt didn’t go too well as you can see below.

Impossible Fails

Impossible Fails

The problem with creating such an object in wood is that the end grain is much harder to cut through than the face grain is. As such, weak points appear in the outer cube, and care has to be taken when working on it. I found that by cutting through the end grain first I could minimise problems, as you have the maximum amount of wood supporting the most difficult cut, which reduces the chances of failure.

While I’m not suggesting that these are in any way masterpieces, or a wonderful showcase of my woodworking skills, they are a fun project that you can create in under an hour if you are so inclined. Hand it to and adult and they’ll try to figure out how to remove the inner cube. Hand it to a child, and they’ll roll it around like a die with no care for the internals.

The short video below shows the internal cubes rolling around inside their wooden prison.

Forgotten Puzzle – The Holetite Puzzle (Buttonhole Puzzle)

Taking a trip down memory lane, I recently re-discovered, or rather remembered that I had made a puzzle a very long time ago for a Magic show I was performing. Yes, way back in my dim and distant past, I was a magician, and I performed to varying sized audiences. Moving on …

The Holetite or Buttonhole Puzzle

The Holetite or Buttonhole Puzzle

Anyway, when I was working on new tricks for an upcoming show, I came across this puzzle in a book of magic tricks, and decided to create my own copy for use in the show. The book showed a wooden stick with a leather string. My version as you can see was slightly different.

The puzzle was created by American puzzle inventor Sam Loyd, and there is an interesting story behind it. I’ll not repeat it here, as it can be found easily enough on the web, or in Jerry Slocum’s book “New Book of Puzzles”.

I used it in a very similar way to that described in Slocum’s book, by attaching it to an unsuspecting audience member, and challenging them to remove it without breaking the chain. Throughout the show I would comment to the poor audience member that he or she still hadn’t removed the item. Toward the end of my show I returned, and kindly removed the item as quickly as I’d placed it on them, normally to a laugh and applause from the audience. (Yes I was young when doing this, so a child getting one up on an adult is normally amusing.)

This is a simple enough puzzle to create, and almost anything can be used to create it, from an ice cream stick to a pencil or any rod, then a piece of string just slightly shorter than the stick it is attached to. Go ahead and make one yourself, and have fun. It’s a great first puzzle to create, and will leave you laughing as you pin it on unsuspecting victims!

As a word of warning, creating if from something breakable like a pencil may see the puzzle returned to you in pieces (or with the pencil sharpened, and as a result shorter). Just as well they’re cheap and easy to make.

Building a Matrioshka (Part 3)

This entry is part 3 of 3 in the series Building a MaTRIOshka

At the end of the last post, I’d finished making all the individual parts that would make up the puzzle, and was ready to start putting things together. The number of individual parts has reduced from the original 54 to just 18, but things are no less daunting at this stage.

All 18 pieces ready for final glueup

All 18 pieces ready for final glueup

The biggest problem remaining was how on earth I was going to glue the ends to the bridge. There are no square ends on this thing that you can put a clamp on, so it makes holding the pieces together a real challenge. Building a gluing jig was probably the right way to go, but even that made for some interesting clamping!

Gluing Jig

Gluing Jig

I decided not to try to make a jig that would glue both ends at the same time. I wanted something simple that would support the pieces as I glued them, and in the end, the jig was much simpler than I thought it needed to be. Some of the original scrap pieces I had left served fairly well, and also meant that I could glue both sides at the same time. I’m not an expert woodworker, I don’t have a lot of ‘spare’ or scrap wood lying about (remember I’m only starting out doing this, so no reserve of wood to pick from) so this did the job.

Gluing Jig, yes it's ugly!

Gluing Jig, yes it's ugly!

Sticking with the very simple jig above, I could glue one end at a time and create the pieces. Granted if I were doing this in bulk, or attempting to create something I could sell, I’d be thinking about a more efficient scheme. For now, this works, and is all I needed.

One down, 5 to go!

The first finished piece

The first finished piece

After several hours over the weekend (since I do all this in my spare time, which I don’t have a lot of just now!) I had 6 pieces glued up and ready for a test fit. Yes, the time had come to see how much of a mess I’d made of my first ever serious attempt at making a puzzle!

The six finished pieces

The six finished pieces

With some hesitancy, I took the plunge and tried to fit the pieces together into the final puzzle … It’s a tight fit, but things were taking shape! I spent a little time with the sandpaper and sanded the pieces down just a hair. Using my digital calipers, the bridge was 1.333″, and the edges were around 1.49″. So there really wasn’t a lot in it, but enough that some work was required. A little bit of sanding on each of the pieces, and I had them down to around 1.32″.

Test fit

Test fit

And here the story ends unfortunately. When I tried to put all six pieces together, tiny inaccuracies in the fit of the pieces, and minute misalignment between the ends meant that the whole puzzle is just enough off that it’s not going to go together and slide the way it is supposed to. Despite the end result, I don’t consider this a failure. You may remember back in the first post, I said that this was a learning experience for me. And I’ve learned a lot through the process. I’m sure I’ll come back to this puzzle in the future, and expect version two to be better!

Oskar’s Matchboxes

Oskar’s Matchboxes is another puzzle designed by Oskar Van Deventer. This seems like a simple enough puzzle, where five matchboxes have their sleeves and drawers attached at interesting angles to create five unique pieces. The goal is to close all five matchboxes. Have a look here for Brian’s review.

Oskar's Matchboxes Puzzle by Eric Fuller

Oskar's Matchboxes Puzzle by Eric Fuller

I recently won a copy of Oskar’s Matchboxes, made by Eric Fuller in 2010, on the recent Cubic Dissection Marketplace auction. This is a beautifully made version using (as best I can tell) Mahogany and Maple. Overall, the puzzle is approximately 3.5″ in size, making for a very compact version.

Matchbox Diagram

Diagram of each of the pieces

The diagram on the right shows how each of the matchboxes should be attached. The dimensions of the boxes are fairly important, they need to be on a 3:2:1 scale in order for the puzzle to work correctly. There have been a number of versions of the puzzle made, including short runs by Trevor Wood, Tom Lensch and Eric Fuller. Each of those has a different appearance as the creator can make the boxes in whatever style they desire, as long as it remains inside the dimensions listed. Recently Philos Games has started creating a mass manufactured version of the puzzle which you can buy directly or at Puzzle Master or Amazon.

When I received this puzzle, Eric’s description states that there are two solutions, however I was aware that Trevor Wood claims there are three solutions. I set myself a challenge to find all three solutions or prove that there were only two. When I received the puzzle, it was already in the solved state, so I took it apart, shuffled the pieces and starting trying to put it back together. After about an hour I had the five boxes back together. This is a tough puzzle, and is very easy to get lost trying to solve it. A systematic approach will serve you best when trying to solve this, as randomly lifting pieces is unlikely to be successful.

With one solution found, I started looking for the others. After another 15 minutes, I found a way to change the location of only one piece and still solve the puzzle. Having done this, I had to take photographs of the two solutions to prove to myself that they were indeed different. The two solutions are mirror images of each other, so easy to miss that they are different. (You can click this link to see all solutions)

So two down. Could I find the third? As it happens, I had come across the third solution while trying to solve the puzzle for the first time, however it is not possible to create this third solution with Eric’s version of the puzzle. At this point, you might think I’d give up and accept that it wasn’t possible to create the third solution. Well, I’m not the sort of person that gives up. I wanted to create a version where all three solutions were possible. As Trevor Wood points out, the dimensions of the puzzle, and exact placement of the drawers is required to be able to create all three solutions.

One thing that made me want to create my own version was this image of the Philos Puzzle in the solved state (thanks to Brian Pletcher for the image). If you look at the image on the Puzzle Master site, you’ll see that it is solved in the same way as I have it solved, but here is a completely different solution, this one much flatter than the two possible using Eric’s version!

Off to the store I went to buy some matchboxes. (As a side note, you have no idea how difficult it seems to be to buy a standard matchbox in San Jose!) With a pack of 10 matchboxes in my hand I took out my tape, and started joining the sleeves and drawers together to match the diagram above, while creating an ever increasing pile of matches on my workbench.

Homemade version of Oskar's Matchboxes

Homemade version of Oskar's Matchboxes

The result speaks for itself (see the link below as I have not included the solutions by default so you can discover them for yourself!). The third solution which was not possible with the very high quality version from Eric Fuller.

If you want to see all three solutions, click here, and browse the images. Note, these won’t appear if you click any of the other images so if you don’t want to compare the solutions, you’re not going to be exposed to them accidentally.

As an additional challenge, try putting the matches back into the boxes when you solve the puzzle. After all, they are matchboxes, and should still be able to store the matches. I went ahead and did just that, and realised that the puzzle becomes harder. Given the interesting orientation of the drawers, the order in which you close them now becomes even more important, as it;s not possible to put them together in all orders since the matches will fall out (unless you have 4 hands!)

This is a fun project, and fairly simple as long as you get matchboxes with the correct scale. Have a go, and let me know how you get on. Alternatively, pick up a copy of the Philos version and have a go at finding all three solutions yourself.