The Dodecahedron and the Sled
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- Опубликовано: 9 июл 2024
- I have been wanting to make a dodecahedron out of wood. A dodecahedron is a 3 dimensional object made from 12 pentagons. I decided I needed to make a new sled for the table saw to be able to cut out the pentagons as well as the angle between the various pentagons. I cut two t-tracks into the bed of the sled which would allow me to attach an adjustable fence to the sled. This would allow me to cut any angle I needed to. The dodecahedron worked out and glued together quite easily. It has fewer pieces than the 20-sided icosahedrons I have made in the past. In the future, I would like to make segmented dodecahedrons that I can wood turn into spheres.
Tools used in this project can be found at
www.frankmakes.com/
CNC: www.cncrouterparts.com
Woodturning tools: carterandsontoolworks.com/
To see upcoming projects follow me on social media
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0:00 (introduction)
0:44 (the sled)
9:33 (The dodecahedron)
14:42 (conclusion) 
Хобби
I love how your videos don’t just show the project that you’re working on, but equally shows the problem solving that has to be done in order to do the project.
I like that this video was practically more about the sled than the Dodecahedron. Watching the process on getting to where you can make it was very fascinating to see.
One of my favorite things about this channel. Absolute shame he doesn't have 10 million viewers.
You have a very pleasent soothing voice, perfect for the video narration. Thanks for all the videos.
I’m glad that even though you have a cnc that would be capable of making dodecahedrons, you still use the “old school” methods for making things. They’re nice to have and have a place but it really takes a lot of the “maker” out of it.
and just like that an entire new universe of creative projects is born!
Thanks Frank!!
Interesting o found this video. I'm helping my daughter with her geometry project on platonic solids. Her teacher gave the choice of a scrapbook (a report) on the solids, or if their parents like to build things and have tools, they could make 3 of the 5 solids. So, I'm helping her build the cube, the tetrahedron, and the octahedron. I tried to get her to do this one or the icosahedron, but she thought they would be too hard. I kind of want to make them anyway. It's been fun working out how to make the bevels, etc.
Whoa, love the new schematics and 3D overlays! very cool to see them update w/ the project steps. Maybe a temp faded background color could help delineate the action from the diagrams when they update? Packing in so much info is tough to balance and and I love this direction you're taking. Thanks for all the insight
I love the juxtaposition of the thousand-year old radial arm saw and the shiny new CNC machine!
Perfect timing! I have been charged with making a dodecahedron urn to contain the ashes of a dear friend!
Frank's "almost perfect" is better that OUR "that's GREAT" projects! !! !!!
Incredible edit. I was fully engrossed all the way through! Thank you for sharing this with us.
I like the way you talk put your process. It's a very realistic inner dialog when doing projects like this. I know, "of course it's realistic, it's my dialog". It's just so often the voice over is reflecting a nonexistent assurance. The reality of these is there is a lot of trial and error. Showing your own, and your quick calm fixes, while presenting it with no wild or unattained expectations, make for the exact how to video we all need.
Definitely subscribing and hitting the like on all your videos. I can learn so much from you.
I like your shaded diagram highlighting the section you’re discussing. Really helps tell the story. Love this project, too, Frank. Really like your vids.
You know I have no interest in ever building one of these - but following along on your process and problem solving is fascinating! Never know when I'll come across something and a step or two in your projects can be applied to get me out of a jam - tons of implicit learning going on. Thank you for putting these together - just great work every time. And trivia - a lot of people my age probably first heard of a dodecahedron from golf - the Maxfli DDH golf balls back in the 80's. Always loved finding them when scouring the woods around the course on a rainy day with my buddy across the street.
You're going to love the removable zero clearance inserts, trust me. I did this, and I just batched out a lot at once, drilled them all, and when one ZCI gets chewed up, I just replace it on the fly. This has allowed me to use my crosscut sled with a ZCI plowed for 45-degree cuts and 3/4" dados, so now I can do dead-square shelf dados without worrying about trying to keep the board tight to a miter gauge, etc., while avoiding the spinning blades.
What an interesting problem-solving process. Your polyhedron turned out great.
This is as much a tooling channel as a conventional woodworking channel, which is really neat.
I wish I had the capacity to woodwork like you Frank. You make it look effortless
Nice project.. instead of adjustable fence, you have to set precisely every time, you could fix the fence with dowel pins, after at successful test cut
I see a platonic solids series in the future. Or maybe a full set of dice for D&D?
Heck yeah, another amazing video! Loved it and it gives me inspiration to make a sled for my table saw too!!
Ingenious three-dimensional Geometry, Frank.
Great build, Thanks for sharing Frank!
Nice video! Have you read about the different types of solids?
in 3d geometry anything with all the faces, edges and vertices identical is a platonic solid, having been described by Plato.
There are five, your dodecahedron with twelve pentagonal sides, Icosahedron (I think you said isohedron) with twenty equilateral triangles, tetrahedron with four equilateral triangles, octahedron with eight equilateral triangles, and the cube.
Known by tabletop RPG players all over the world as 5/6 (or 5/7 if you like the redundant extra d10) of a standard D&D dice set. If you think of these as regular shapes, there's also a host of semi-regular ones called archimedean or catalan solids!
Dodecahedrons are my favorite. (you don't put the emphasis on the last vowel like that though)
nice to see this explained so clearly. this gives me an idea to make and wood Turn each of the platonic solids
@@frankmakes if you’re looking for an objects to make spherical, and look nice in contrasting woods, a sphere such as the first diagram here is quite nice: en.wikipedia.org/wiki/Icosahedral_symmetry. Lots of ‘great circles’ to help construct it as two hemispheres, and the subdivisions show the dual relationship between icosahedron and dodecahedron. There is a corresponding sphere for cube and octahedron, and a third for two tetrahedra. Before woodturning, you could start with a en.wikipedia.org/wiki/Disdyakis_triacontahedron (a d120) but getting all the angles right would be cruel. Better to start with an icosahedron with 6 pieces per face, since you have already worked out all the angles. Keep 4 of the faces as halves (3 small pieces) so you end up with two hemispheres. Get in touch if you want someone to work out the angles.
@@frankmakes To expand on this, and into a different hobby that I'm also into, the platonic solids make up a subset of the polyhedral dice used in D&D and other table-top RPGs (TTRPGs). Each die is called a dX where the X is how many faces it has. A normal die is the 6-sided cube, and the d20 (the most important in D&D) is the icosahedron you've already done. This video added the d12, so the d4 (tetrahedron or triangular pyramid), d6 (cube), the d8 (octahedron), and 1-2 d10s (pentagonal trapezohedron or deltohedron) are all that is missing. If you look up "polyhedral dice" you'll find the typical sets that are used. Would be really cool to see you have a whole set of oversized wooden die; especially if you used the cnc machine to get the numbers inlaid in the faces.
@@frankmakes I'm glad you found it useful/interesting/whatever. It can be so hard to balance tone in text based conversation
Also, the icosahedron and the dodecahedron are related...they are "duals" of each other. The icosahedron has 20 faces with 3-fold rotational symmetry (triangles) and 12 vertices with 5-fold rotational symmetry. The dodecahedron has this reversed: 12 faces with 5-fold symmetry (pentagons) and 20 vertices with 3-fold symmetry.
The octahedron and the cube (hexahedron) are similarly related. The tetrahedron is its own dual.
I love your videos, you clearly love both woodworking and cinematography and you’re great at both, keep up the good work :)
nice work. takes good engineering/ design of equipment and attention to detail to get those angles to marry in 3D. love your videos.
Frank! Fantastic production as usual.
Excellent video as always Frank!
Great idea on the clearance plate!!! Thanks Frank!
Truncate it by cutting triangular holes on the points with your C&C router, and then turn it spherical. Make sort of a lattice sphere. Really cool project, can't wait to see the end result.
As always, your curiosity and visuals are top notch! But I think that the tolerances of the machines, the numerous variables involved to get a perfect 90/45/22.5/etc are not possible without sanding, putty/filler or other means. The material is wood. But if anyone can get close to perfect results, its you, Frank!
They are certainly possible if you take the time to adjust your machines.
I made a rhombic triacontahedron in oak (a 30 sided "dice) for a friend once. Took me 3 Attempts put i managed it to pull it off. Without sanding, a CNC or filler.
When you start to go in the process with the mindset "I can sand that" or "I can put some filler on that" you will not put the time in to adjust your machines correctly because why bother.
Sanding and filling is for me even less accurate and takes Sometimes more time.
Do regular maintenance, adjust them regularly and take your time setting them up. Then it is certainly not impossible and easier than you think.
damn, what an incredibly insightful and truly inspiring piece this is
btw those 3d animations are great, please continue with them
It's a small thing, but I love that you have weights to offset the force from the radial arm saw when it's climb cutting! Great little touch to make that tool a bit safer and more manageable.
Frank!! I have been missing your videos. Thank you for sharing and hope all is well.
Great sled Frank. Reminds me much of the one the Wood Knight has on his channel. I made it myself and LOVE it.
Watching wood go through a planer is oddly satisfying.
As always, another fine video. The sawdust chamfer is great until you want to cut a very thin piece of plywood or veneer. I found this out right after I made my sled.
I think I like the dodecahedron. You do a lot of spheres but it's cool to see these other interesting shapes!
Wow! Thank you Frank Cheers Jerry
A lot of work to get there, but the results were worth it. I'm looking forward to seeing the turning now.
Bill
Very cool, thanks Frank
That’s why I bought a panel saw .I always enjoy your content, thanks.👍📐🇨🇦
Another awesome video!! Thank you!!
Looks like you could build a soccer ball with that jig! Would be really cool if you turned it round like you suggested and it had that pattern.
Fun geometry fact for you Frank. The icosohedron and dodecahedron are what's called dual shapes. which means if you were to take one of your icosohedrons and sand flat each corner untill those new faces met each other you'd end up with a dodecahedron (and the same happens in reverse if you sand the corners of a dodecahedron). Might be fun to try.
No, that wouldn't work. You're talking about deriving a dual by way of truncation; to get all the way to the dual you'd need to sand past the point where the face you're sanding intersects with a respective set of vertices. Once there, you keep going, but now the sanding you're doing needs to ADD material in the same way it was being removed on the other side. This is obviously not possible irl. Only with computer graphics can this be done.
A better way to derive the dual of any platonic solid, is to understand that duals can swap their faces for the dual's vertices, and vice versa. In practical terms, take one polyhedron and connect the centers of its faces with lines to create the edges of its dual.
At the center of every face, is a vertex of its dual..
Mad respect for making a d12!
Beautiful.
Incredible. Genius 👍🏻
I once did made a rhombic triacontahedron ,a 30 sided "dice", for a friend's 30th birthday who loves boardgames. (Probably inspired by your Globe video)
Took me 3 Attempts. Even a .1 degree error in your cuts messes everything up, und you only realize it when you already put half of it together and the errors have stacked up.
The only way to approach something like this or your dodecahedron is with custom hardware like this sled. And a lot of time adjusting and fine tuning.
Great video as always, I would love to see more Catalan solids.
Great video! By the way, the 20-sided polyhedron that's made up of triangular faces is called icosahedron.
The dodecahedron is my favorite platonic solid!
Very nice project video! Loved to see which tools for which processes. BTW the 20 sided polyhedron you mentioned at the beginning is an icosahedron.
Amazing what you can do with your machines, and all the practical knowledge you have: hats off Frank!
Can't imagine how much work this would be if you were restricted to using hand tools only! Would that even be possible?
Hi Frank, love your content as always. For the record the c is pronounced as k. Icosi comes from the Greek eckosi meaning the number 20. Cheers from down under
Great video, Plato also related the 5 solids to the elements fire, air, earth, water and ether.
Very neat.
Was the blue design overlay supposed to stay on for that long ?
I’m interested to know how you did those animations.
Anyone else remember learning what a dodecahaedron is from The Phantom Tollbooth?
Frank, I wouldn’t have realised I cut the zero clearance inset in half either..haha. Nice Jig!
My guess: FRANK MAKES a soccer ball. Paint surface with a contrast color and mill the twenty corners to hexagons. Ready is the Fullurene out of twenty pentagons and twelve hexagons.
Perhaps you could try CNC routing the triangles? I've tried this with mine. It works well. Takes a while, but it works! Use a bullnose or angled bullnose cutter with a top-down spiral strategy and small stepover. Don't cut all the way through the board. Leave 2mm or whatever so you can screw it down in a place that is not the finished triangle. You can have the machine cut many triangles at once. The CNC cuts all the compound angles, and then you remove the face of the board to free the parts. A thickness drum sander works very well here, but you can saw it or whatever too... It means you can cut any polygonal geometry, not just regular shapes. Eggs, ellipsoids, etc. For bonus points, you can CNC a spherical depression in the top (inside of the triangle) To get a smooth sphere inside and a polygonal outside. Makes a beautiful bowl.
I've been thinking about making the moon or maybe a planet or two this way.
for quick sled runners, I glue a column of pennies on a 1/4- 5/16" thick strip. - they're precisely 0.7500" when they're new
Really fantastic work, Frank! It looks great! 😃
One thing you perhaps could try is to cut the pentagons in one piece. I don't know if that's possible, but I believe it is! I've seen people cutting hexagons for making coasters.
Anyway, stay safe there with your family! 🖖😊
I was wondering if I could cut out the pentagons roughly, then make them more accurate as I cut the angles on each side with the sled. another option would be to cut the pentagons on the CNC from a solid piece
@@frankmakes just cut a pentagonal prism out of a block of wood. By that I mean a straight 5-sided block. Then run each edge through the table saw with blade tilted 31.72 deg with the material oriented face down..
Thank you for what I think are the best build videos on you-tube.
It looks like your using a router bit in the shaper to dress the edges of the sled. If that's so, do you have any thoughts on shapers vs routers for doing edge treatments. I've seen some comments suggesting the shaper speed isn't fast enough for router bits, and I'm not sure I understand why that would be so.
Hey! Loved the video - tho I do sometimes watch them late at night and with the relaxing editing sometimes wake up to find I fell asleep halfway thru one... was curious what software you were using to draw the sled? Also cool new spindle!
With a dodecahedron, to sphere-ize it, you'll need the walls to be much thicker than an icosohedron. Keep that in mind, or you'll end up blowing up your piece as you try to curve it. Think of the sphere inside the dodeca - it will be tangent with the centers of each of the pentagons. To create a curve from the center of one pentagon to the center of another will likely, with the thickness you did, run you into negative space! This would be super dangerous while spinning.
Use the clamps to clamp a sacrificial fence to your adjustable fence that would prevent the chip out corner on the cuts.
Should have kept watching, you basically figured that out.
What would be cool is to make the triangles of the pentagon angled inward. That way it would look like the shape has big indentations, but yet still holds the shape of an almost sphere
Excellent. Have you considered making a fullerine?
You mentioned the cut edge of the pentagon possibly sliding under the stop - if you rotate the pentagons anti-clockwise during that process only the fifth cut will have that risk.
Hey Frank... any chance we could get an update on your rain barrel install?
Accuracy at it's finest, 60 pieces come together perfect !
I can't be the only one spotting tabletop gaming die in these things.
When Frank does his wee laugh after another great sentence 🤗
That little flipt-the-piece-over trick for quantifying the squareness of your blade is the same concept behind those little self calibrating digital levels. You just turn them 180 degrees on a flat surface and the difference tells you what direction "up" is.
Wow. This is way over my head
Cool video...but you never said what the bevel was to get all the pieces to come together?
Time to get a bumper sticker “My other Platonic solid is a dodecahedron”. Icosahedra (plural of icosahedron) have 20 sides. To minimize tearout at the tips attach it to a sacrificial piece, you could try a finer toothed saw and go slower on the sled, but the table saw will never have the control of a fine dovetail saw.
I appreciate seeing the sled build and the steps from small triangles to pentagons to dodecahedron. I was surprised though as when I saw that you were using your CNC I wondered why you didn't just cut out dodecahedron sides with the CNC. Pentagons with the angled sides in one step on the CNC?
Would you please add some kind of cover over your small jointers cutting head. I would love your fingers to stay where they are
NICE
Beautiful work, well explained, nice video editing, one question . . .
Why did you have to make a pentagon out of 5 parts (triangular) instead of one piece?
Just the way I did it. Could be one piece
He's making his own set of D&D dice! :)
I made a dodecohedron as a model for a prefabricated structure in the final year of my architecture degree. I had to make do using almost exclusively a chop-saw, but this is absolutely how I should have done it If I had the tools.
_Final_ year of school for a degree in architecture and you're constructing a dodecahedron? wtf 😳 if that's the case, I'm a friggin PhD lol
Was your first year learning how to draw a straight line?.. 🤣
@@SineEyed That's unnecessarily mean spirited.
@@MurcuryEntertainment sure, but it's not directed at him, rather, I'm criticizing the institution he was educated at..
New animations looks amazing! did you leave sketchup?
Blender all the way
Love your videos Frank. @0:07 it's "icosahedron" from the Greek "icosi" meaning twenty.
I don't know how close to parallel you made your rip fence, but I think having it "open" (away from the blade) a few thou is an anti-kickback measure. (at least it used to be and makes sense). Thanks for the video, Frank. Nice sled!
with the shapes you are working with, are you aiming to make a complete set of dice?
There must have been someone other than just me that was having flashbacks to The Phantom Tollbooth. Perhaps we could get a voiceover of that when you turn one, Frank? I'd be happy to help with that!
Heck yeah another Frank vid
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Love the method and outcome. What bevel angle did you set for trimming the pentagons?
I've been looking at several graphics programs for 3D drafting. What program do you use?
31.72 degrees
I use Sketchup. You might find the trio of latest videos on my channel interesting..
I - CO - SA hedron is the 12 sided solid with triangular faces.
With your set angles if you reference off the back of the sled rather than the saw blade then it would make setup much quicker and more accurate.
I think you may be right, will have to try that.
Hey Frank. Have you heard of ball shaped six sided fair dice? Maybe you will enjoy building one, it's quite simple in theory...
Subjig? Oh, you mean a jiglett!
1.21 . . . nevermind
CNC some dice numbers on there?
Hi Frank what angle did you have your sawblade when cutting the pentagons to make the dodecahedron?
Did I miss what angle you had the blade at for the angles on the pentagons?