Making a Dodecahedron the Easy Way.
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- čas přidán 21. 08. 2024
- How to make a dodecahedron the easy way. Make a regular dodecahedron using angled pieces of wood. The angle between the legs depends on the bevel angle the table saw is set at, and should correspond to the dihedral angle between faces. Think of a cube as having a dihedral angle of 90°. The dihedral angle of a dodecahedron is 116.6° - so (180-116.6)/2 = 31.7° bevel angle. Each joint surface is mitered individually at 54 degrees as if making a flat pentagonal frame, and there are 30 identical pieces. Please like, share, and comment - I read all comments. Steve
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A true craftsman makes everything look easy. That is too cool , you could sell those easily.
Thanks!
Would you sell one ? If so I would love one for an led project I’ve been wanting to create but just don’t have the saws or tools to make myself.
@@chrisponilla1759 came here for the same reasons, wouldn't be too bad of an idea to sketchup a part that could join all the corners and have it 3d printed and use whatever material for the crossing beams where the LED would sit in!
I need to make this solid for a math class and this video help me a lot. Thank you for sharing this!
Thanks! I’m glad it was helpful for you.
A new Woodworking Top Videos (WTV) episode just went live. That's where I countdown the hottest maker videos of the week. I briefly mentioned this video... because it's awesome! Please keep being awesome yourself!
+Awesome Wood Things Thanks! I will try to keep raising the bar on my end.
Damn! I have no use for it, but now I want one. I like it so I can come back to it. Thank you for the video, Steve.
+lornie212 They are fun to make. I'm thinking about making the other four Platonic Solids now.
Nice job, as always, Steve.
The key numbers here are 31.7deg for the table saw rips and the fence moved .25"-.30" to start a new piece. (Or more, if desired.)
Then trim the ends at the miter saw with table set at 36deg (with blade vertical at 90deg). (At the miter saw, you showed an aux. fence piece that put the workpiece nearer the center of the blade...smart!)
Because you figured these things out for us, even I can make one of these...Thanks!
Thanks, Spence! Yeah, the auxillary fence is needed so you can trim both faces on each end with same setup. Each face is trimmed while the face is on, or parallel to the table. The joint surfaces are not co-planar. At first I thought they were until I tried it - didn't work. In this case, the solution was easier than I had first imagined.
I will try....
I am making a dodecahedron infinity structure and the frame is one of the hard parts. It $6 per part to 3D print. This will save me so much money and time and in the end, look better.
Wow, that would be expensive to print 30 parts! I've never been around a 3-D printer and didn't know they were that expensive to use. I used less than $1 in wood for this. I have seen the infinity structure projects and might try it myself sometime.
@@Steve.Garrison Thanks for the feedback. The price was for using an online 3D print service because I do not have one. I do however have a table saw. I need to cut a slot to hold mirror panels. Maybe I can glue on a rail/frame.
It would be great you (or someone) could sell these in different sizes so people can buy kit and build it. Thanks again for the video.
I really enjoy your work and videos! Please continue to share. You are an inspiration to others!
Thanks! I get burned out trying to publish videos on a regular basis, but will make more as it happens. :)
Hello Steve
Very nice project. I like all the projects with a lot of precisions.
This a nice idea for a lampshade. Thanks for sharing
+idees en bois Thank you! It was fun to make. A lampshade would be nice - might do that in the future.
Thanks for the video, it’s really cool, and thank you for showing us how it’s done, there is a guy that build one sorta like yours and he won’t give out the angles for some reason, thanks again
Thank you. I don't know what the big secret is? The dihedral angle is easy to find online, and the miter angle is very easy to calculate.
Excellent !
Thank you.
Very nicely taught.
Thanks!
You had me at TiltBox....
Yes! That tiltbox is freaking awesome
Excellent work 👏🌈😃
Thank you.
That's one sweet piece of geometry!
+Wood 'n' Stuff w/ Steve French Thanks! Of the five Platonic Solids, this one is my favorite.
You always come up with the coolest projects ever!
Thisnis fantastic. Thanks for oosting!
So cool! Not sure why but I love this- thanks!
Seriously impressive
Thanks!
Great video, thank you.
I really enjoyed the dodecahedron. I have been making spheres for a few years and I make some of mine using 12 cones that all fit together. When I first started making them, to figure the angles, I thought that 360 divided by 12, would do the trick (wrong). by trial and error, it seemed to come out to a little over 30 degrees. I never knew the exact angle until your video.
Thank you! It does become a little trickier in 3 dimensions.
I would love to show you some of my spheres. I can email them to you on your home site.
Awesome! I want to try myself
You're really great, Steve!!! Cheers. Mauro.
Thank you for this video!!! Looks amazing!
You're welcome! Thanks!
Amazing Work!!!
Thank you.
Very nice work!
Thank you!
That was an awesome build!
Thanks, Alex!
Boy! You're right! That was really easy. lol
This is awesome!!
This would make a killer fish tank.
+Maxid1 That would be neat.
Wood turning
Steve, That is fantastic, I do not not know whether it is because I am an Aussie , But sometimes I dislike intelligent people. Keep it up MATE>
Very cool. I wish I could buy one from you.
Very cool man.
Thanks!
Oh Look!
A KITTY!!!
thank you
Excelente gracias.
looks awsome :)
I read that in ancient times, this shape was a close secret, the mere talking of it got you put to death.
Cosmos by Sagan
They somehow missed Plato, a pretty famous man, for whom the group of solids including this one are named. Euclid, another pretty famous guy, describes their construction. Somehow they missed him too.
true the romans coveted this shape and it was known at least 1 thousand years b4 plato discoveries of stone petrospheres found in Scotland seem to show a knowledge of the platonic solids pre plato check them out here www.ancient-code.com/the-mysterious-5000-year-old-stone-spheres-evidence-of-a-lost-ancient-knowledge/
Please tell me whats the angle i need to use if i have to make a giza pyramid in the above manner. I like the make you cut the angled wood directly on table saw. Nice one.
I don't know the exact angles of the Giza pyramid, but if it's half of an octahedron then the dihedral angle is 109.471 degrees.
Do you mean "Rhombicosidodecahedron" ?
It's awesome!
It would be a rhombicosidodecahedron if you inserted square faces along each edge of the pentagons. This is just a dodecahedron with 12 regular pentagons.
muy bueno!
I want to do this using 12x12x20" styrofoam cubes. I'm guessing I need a band saw? Thanks so much!
A bandsaw will cut styrofoam, but you could also use a hot wire cutter. Are you making it as a frame or as a solid?
@@Steve.Garrison solid piece. I need about 18 of them and then i'm going to have kids paint them then stack them on each other and drive a stake through them to make a totem pole. hot wire cutter would be a lot neater and cheaper, good idea, now I just have to build the jig with someway to get correct angles. I have an old broken miter saw might use that.
Beautiful and simple as it should be! I may have to give this a try, were you at 31.7 for the rip cut?
Yes sir! It's easier to make them large instead of small - in case you need to make it bend a little.
thanks
Wow. Plese upload Icosahedron.
In the written description you refer to a miter angle of 54degrees. Should this be 36 degrees as referred to in the video?
Depending on how you look at it, 54° and 36° are complementary angles.
Thanks. Great video!
@@peternorris2307 thank you. :)
Hi Steve nice project.....Well done!!!!!................Would i be right to assume that it would still work out if you cut the the lengths to say 5 inches long...it would just make the item smaller???
+Simply Jef Thanks Jef! Yes, just as long as all the pieces are the same length. The length of a side multiplied by 2.22 will be equal to the distance between opposite faces. So 5 inch lengths will make the dodecahedron 11.1 inches.
+Steve Garrison Thanks Steve!!!.......I'm thinking you make each opening big enough to except a standard photo than hot glue plexy glass and photo into each opening while assembling. Leave the bottom open and line up the pictures so the dodecahedron can be turned on its axis to view pictures!!!.....sounds like a christmas present to me!!!!...Happy woodworking!!!...
+Simply Jef That could work - except that my cat has turned it into her new hangout. I might cover it with an old t-shirt so she can have a tent.
Steve Garrison ; cover all the openings except 1 with skin tight aluminum foil, the last hole gets a cavity magnatron from an old microwave, connect it all up and you will keep kitty warm.. HONESTLY FOLKS I'M ONLY KIDDING , I REALLY LOVE CATS.. THEY ..... ......... .. I SWEAR I WOULD HAVE THEM AS A PET IF I DIDN'T ALREADY HAVE 2 DOGS ..
I tried to follow your video to create a dodecahedron. Overall it was pretty helpful for all of the angles but you made it seem rather easy. Did you not use any sort of jig or have some sort of customized process to get each piece to be identical (as the dodecahedron won't go together if they aren't identical)?
All the pieces do have to be the same length. I just put a pencil mark on the fence to make them all the same length. Make the two miters on the first end without using the mark and where the joint surfaces intersect in the corner. For the other end put the edge of the first cut on the mark and again cut the second miter of that end until the joint surfaces form an edge on the corner. This will ensure that all the parts are the same length. Sorry I didn't make that more clear in the video.
Genius. I'd love to know how you calculate the compound angles. I'm a huge believer in simplicity but I've become semi dumb in my engineering, in that the first thought that comes to mind is to model it in AutoCAD and then measure.... That's not understanding, it's virtual trial and error so to speak.
+Andrew Myers They're not compound angles. The miter angle is 36°, and the bevel angle stays at 90° on the miter saw. The two joint faces on each end of each piece are not co-planar, and they intersect along the outside edge. So really it's the same as if you were mitering flat pieces to make a regular pentagon except you make two cuts on each end.
heya, just thought i would comment this becuase you mentioned engineering and would probably like this.
the 36.7deg comes from this equation
cos^-1(-1/5 * sqrt(5)) = 116.57deg
(180-116.57)/2 = 31.717 deg
the reason this shape is technically impossible to make accurately (and why some 3d cad prgrams hate it) is because of the sqrt(5).
infinite decimal places means some computers just freak out and throw errors
Really great video Steve, thank you so much! I have a question … when you cut the wood 31.7 degree, are the faces from inside stays straight? I want to be able to place a plexiglass and glue it from the inside. Would that work do you think?
Thank you. Yes, the inside faces will be straight, flat, and planar assuming you are careful and cut them all the same thickness.
Just wondering if you were successful with the plexiglass. How would you get it inside the finished dodecahedron anyway.?
Yes i was. I put the glue from the sides of plexiglass and slide it in as a last piece and tried to hold it with a long cutted board while pushing it in and wait for glue dry. I used superglue by the way
I want to buy what you made... Or would you sell me the pieces cut to that spec and not put together? No rush =)
I can sell one as a kit if you like. Send me an email stevegarrison769@gmail.com
Hi Steve. What an incredible project. I check the video tons of times and I have 2 questions that maybe you could help me resolve.
1. Can I use any wood dimensions?
2. I don't have a miter saw. I only have a table saw, router and jigsaw. How can I do the second and third cut you do on your video.
Sorry for the hour. I can't sleep thinking on how to make the project.
Thanks in advance.
1. Yes, just as long as all the parts are identical especially in length.
2. All of the cuts can be made with a table saw with miter set at one angle (36°). On each end, one face would be cut with the outside face face-down on the table. The other face on each end would be cut facing up with a block underneath for support that lies parallel to the miter fence.
I hope you can visualize that. Good luck!
Think of the table saw as an upside down miter saw, blade just cuts up instead of down, so nothing changes. You set your saw cross cut miter gauge to the same angle as the miter saw. Note:support block. the work piece is cut referenced to a flat side, not a compound angle. Don't need the block on the table-saw so bonus points. Fragile sticks, table-saw is like swatting a mosquito with a sledge hammer. Softwood, so make up a platform/angled fence on a disk sander and just buzz them down. Could even do it with a hand held sander. Get a couple more hand power tools (just a few) . Table saw is more versatile then a chop saw. Plenty of jigs and tricks here in the net universe. Cut extra sticks.
@@MrBonners Thanks for your help.
I read and double read what you tel me and I think I0m going to buy this tool: czcams.com/video/c1AFRJ6Fe8A/video.html
1. Can I use a TRACKSAW for the project? it gives me acurate cuts and can setup at 31,7 degrees.
2. What idea can you give me for the template of the pentagon so I don't have to draw one pentagone in each 12 piece of wood.
I think it's the better tool for me if I want to create a solid dodecaedrun
20 inch long of each side of the pentagon.
Thanks for your help in advice an help.
@@MrBonners sorry to ask my question again but as your suggestion I'm going to buy a new tool for my wood jobs
, chrismas gift. :)
I read and double read what you tel me and I think I0m going to buy this tool: czcams.com/video/c1AFRJ6Fe8A/video.html
1. Can I use a TRACKSAW for the project? it gives me acurate cuts and can setup at 31,7 degrees.
Thanks if you can help me with your advise.
GOSTEI
How long did you sit around thinking about it before you started the calculations.. But Great work................
+aslimline S The angle calculations were very easy, they are single angle miters - not compound. Google search gives dihedral angle of dodecahedron very quickly. I could have made it difficult, but that's not my style. So to answer your question, maybe 5 or 10 minutes.
Just a suggestion, you could use a wood epoxy instead of hot glue.
Cheers.
I used hot glue because it is set in just a few seconds.
Steve Garrison ; you could use super glue with an accelerator.. makes it set "right now" also makes it foam up just a tiny bit to fill the holes/gaps better as well as increases the strength, we use this method in "RC" building.. (that Royal Crown cola really loves it).. wow that dodecahedron is just amazing/incredible..
Steve Garrison interestingly, there's an old hot glue used in many joints of musical instruments. Made by boiling up hooves and hide. Unfortunately it stinks! In a way, your modern hot glue could be seen as nearer to tradition than epoxy, cyano or many other glues. Nice job.
As a beginner, I don't understand what the first 2 cuts are for.(58:00). That's the only thing keeping me from trying this!! Thanks
Just removing any warping that might be in the board, and making an edge square to jointed face. Not really necessary if board is nice and strait.
What is the math behind the angles for the inside joint where the pieces fit. The outside joints ie two dimensional would be 360/5 and the vertex would be 180/3. But what is th angle where the wood is glued together. I would like to be able to translate the answer to itchier shapes. Thanks for a great video.
The miter angle is 36°. What's an itchier shape?
Do you have a video that shows how to build mercaka
I'm having issues with the miter cuts. I swing my miter saw to the right, from 0 until it points to 36. Then I make two cuts on each end of my ripped pieces. The first cut is while the piece is laying flat facing down then I turn it over and make another cut making sure to form similar pointy pieces like yours. But when I go to form the pentagon with the mitered pieces, I don't form a full pentagon. If instead of forming the pentagon I attempt to put together three pieces (to from one the vertices of the dodecahedron, like the ones you already have prepped before you start gluing) the three pieces don't seem to fit together nicely. Any advice? My ripped pieces are all 12 inches long.
Each piece will have four 36° miter cuts with the blade square to the table as if you were making a flat pentagon frame. I'd have to see what your construction looks like before I can tell what you're doing wrong. stevegarrison769@gmail.com
You rock dude! I wanted to know if I can order these peices of wood from you? If so can you doit it in a hardwood such as cherry, black walnut, hickory? I will pay all costs. I'd like them to be the same size as you made in the video. Please advise.
Thanks! I don't normally do that. People usually just make their own from my instructions. Where are you located?
@@Steve.Garrison I am in Hawaii, and if you would this once I'd be totally happy to pay you. I don't have any tools and I'm just a hobbyist who like to make wodden ship models and cars. I would loke this of you could in like a dark cherry or any hard wood. I'll pay for everything. I love your work.
@@bigislandjim2274 Thanks. Send me an email - stevegarrison769@gmail.com I think I have some oak that is thick enough to make one this same size. Are you wanting just the wood pieces, or some kind of connectors too? This one in the video is just put together with hot glue - not the best choice.
@@Steve.Garrison hey Steve, I sent you an email.
@@bigislandjim2274 I saw it, thanks. It'll be a little while before I can get to it.
Amazing video! Thanks a lot for sharing
I'm looking to do a smaller one from some walnut strips I have but would have to cut a 58.3 degrees bevel so I can then glue them up right? Not sure how to do that on the table saw safely.
And from your experience would I be able to join the parts with wood glue to make it a bit stronger?
Thank you! Wood glue would be much better, but you’ll have trouble clamping since the corners aren’t even close to square.
@@Steve.Garrison Use a combination of a donut of wood glue with some CA glue in the center on one side and spray CA accelerator on the other side. CA bonds quickly so no clamps needed and wood glue provides the strength once it cures. Might use painter's tape to make the initial alignment easier.
Hey I'm going to make one that's 5'6" tall and will have plexi faces and needs to last outside in public for 8 months. I'm going to make a frame like this and have plexi faces and have the dodec strapped to pegs in the ground. Any tips on large scale construction of this? I felt a little lost till I watched this again and read your angles in the description. I think I can scale this up with another video method combined. Thank you for sharing
That sounds like a fun project. I think it should be basically the same. The only thing that comes to mind is you'll need to join the corners with something better than what I used. Maybe fabricate some steel brackets and use nuts and bolts? I haven't made any that large. Let me know how it goes. Where are you located?
@@Steve.Garrison Yeah I'm having trouble figuring it out but I have a couple ideas from someone with an engineering career but I'm not good at understanding what he's explaining. Either full edges like yours or maybe linked by metal brackets at the angle they need to be. I need to figure it out fast! I'm in Houston.
@@VincentFink I would suggest making a smaller one first before tackling the large one.
@@Steve.Garrison I finished it. Check it out! Thank you. czcams.com/video/cuuOX9Q7JcY/video.html
Another question. What did you use the planer for? I can't seem to catch your reason for using it in the video.
Just making sure the wide faces are flat so they don't rock on the table saw while ripping. Overkill I know.
Hi, again Mr. Garrison. I would appreciate a little more help, please.
After changing the angle to 31.7 - 0:49 I see you make two cuts but I can not see the blade or cut.
It looks like a different saw blade/angle than 1:17. I have one decent adjustable table saw to work with.
I need to do my homework and learn how the angles translate to the saw setup and how to run the wood. I am sure that will help. ha
The blade is tilted 31.7° to rip cut the parts from the board. The view changes from the front of the saw to the back of the saw.
@@Steve.Garrison Thanks again for the reply. Just wanted to make sure to ask while I was thinking about it... before I get it all set up.
Edit: Found the FAQ on your website. Thanks again.
I plan to make one of these in 9 inch length pieces. Would you have any ideas to make it more durable so could make it more functional?
I used hot glue to join the pieces because it is fast, but other adhesives might be better. Maybe glue a flattened triangular pyramid into the inside of each corner?
One more question. How much would it change it if I made the angles twice as thick? so I could nail it together?
Sure, that would help. If you could make the angles thick and wide enough to use dowels or biscuits - that would be even better.
Hi Steve
Is there a way to construct this shape using a 3 x 3 x 915 mm balsa wood square blocks. I have spent days on this but the geometry just won’t match up. Is it way too complicated, or am I doing something fundamentally wrong.
Please let me know.
Thanks
I can't tell enough about what you're doing without a picture. Assuming the 3x3 is in cm?
Steve Garrison May I please ask you for your email address. I’ll share some photos of a paper model I made the other day. I tried to make this shape by connecting 3cm x 3cm x 6 cm paper square tubes and tried to connect them together by sticking the ends to 3cm side equilateral triangle, but I miserably failed. I tried doing the same with wood a few months ago but didn’t took any pictures. So I decided to make another model with paper so that I can share the pics and get your expert opinion.
stevegarrison769@gmail.com
I’ve made a dodecahedron once
How was it ?
Alien Slayer it was alright
Nice, do you sell the kit for these? Just finished cut pieces ready to be blued togheter?
Sorry, I don't.
@@Steve.Garrison Oh, thats too bad :) Anyway, really nice video ;)
how did you figure the 36 degree miter angle?
The corner angles of a regular pentagon are 108°, so divide that by 2 to get 54°. Then subtract 54° from 90° to get 36° miter angle. The angle shown on the scale of my miter saw reads 0 when the blade is perpendicular (90°) to the fence, so 36° is actually 36° away from 90°, or 54° from face of fence. Complimentary angles.
@@Steve.Garrison thanks man, i appreciate the video
@@mirandaann8150 Glad to help!
What is the thickness of each long piece as you cut it with the angle saw?
The pieces are cut from a piece of 2x4, so about 1.5 inches thick. After the parts are cut, they are about .25 - .3 inches thick.
how do i find the angles I would need to make an icosahedron? approx 1.5 ft tall
138.19° between faces of icosahedron.
Awesome...but...easy? I just know if I tried that it wouldn’t join up by the time I got to the top...!
I was a little surprised myself. It helps to use the table top to keep the pentagons flat during assembly.
Hi
czcams.com/video/6yNg70PToZA/video.html
Idk why we need to do this for projects for school when we aint going to learn nothing for jobs
That's a good way to exercise our intelligence, our reasoning and our spatial perception, which will spread through many areas of our activity.
I thought the same at your age but it turns out once you turn 20 it's calculating dodecahedrons pretty much every week for the rest of your life.
That's it!
do you have the Angeles for a 4V gio-dome
I don't. Google "Great Stella" and try the free version, it will help you.
Hi Steve, I need a dodecahedron like this one. Do you sell it? Please give an email to talk. Thanks
I make them, and sell them. www.etsy.com/shop/SevenbravoDesigns?ref=hdr_shop_menu
Do I get a commission? :)
This is your channel so yes you should :) But I make mine differently, and made them before seeing this video today, if that even matters. I make 12 pentagons, bevel the edges, then assemble it.
I looked at them - those are nice! Do you make any other polyhedrons?
I haven't tried, but your channel is inspiring so maybe I will! Thank you
Hi, what wood did you use for this?
Pine.
Steve Garrison good you please go through detail how to make one single piece, as I don't understand the end process to form one piece. I am making this for a school project.
我不知道，116.6度怎么来的。请解释一下
Google it.
en.wikipedia.org/wiki/Table_of_polyhedron_dihedral_angles
非常感谢
what shape the blanket is at 3am:
How do you make this shit, I need to know
"simple way" for who has the tools ....
Well yeah, got to have the right tools. I don't see any way around that. :)
making easy way need expensive tools.
Not my style. Besides, a good miter saw or table saw isn't cheap.
And whats so special about it?
Prototype, proof of concept, demo of how. Applications, materials selection, and visual design is up to your creativity. Can't even see the cliche of a lamp? Sounds like you don't have much of that creativity thing.
Thanks for skipping all the important parts