Splayed miter angle calculations and gluing

Demonstrating making a tapered ten-sided polygon, using my miter table, and showing how to clamp it.
woodgears.ca/miter

[@kbags091]

Man, I know you probably won't see this, but I want the world to know that you are the real MVP. The fact you took the time to put all that info down in a spread sheet for us is amazing. you made my project possible and my wife happy. Thank you!

[@Samlol23_drrich]

You are INCREDIBLY talented, and one of the few I would consider an expert woodworker. Brilliant and thank you for this video. Not that I am going to build one of these tomorrow, but it's clearly a lot of effort and time condensed into a short video for our viewing pleasure. Just wanted to say "thank you" because I know, often nobody else does.

[@billsutherland2128]

Exceptional work Matthias! As a math Professor, I applaud your engineering aptitude and your ability to teach. You have some rare talents.

[@donghylin8314]

Matthias....excellent tutorial on a perplexing problem. I have some planters to make, so, using your data sheet, I made a sample six sided 15 degree splay test. Worked perfectly....You are a bright young woodcrafter (machinist) and your willingness to share your knowledge is very commendable....Thank you Sir, Don

[@VideosMilitary]

Don Ghylin brilliant idea this would make besutiful planters !

[@keithcapehart4200]

Man I really enjoy Your videos. I like the way they are presented down to the proper lighting. They are not boring or long winded, and You show a confidence in what You do down to the numbers. I am blown away by the tools and machines You have made with a little bit of wood and a whole lot of engineering. Very facinating. Please keep up the good work. There are not many around that can crunch numbers and not mind getting a little sawdust on them at the same time.

[@62hassebasse]

I never get tired of watching your explanatory videos. When I think I´ve seen them all there´s another one to learn from. Thanks a lot!

[@abugooma]

I found the answer to my question from your video about precise table saw cuts. Thank you for all the good information you provide. I am a beginner and have taken one introductory 5-week course only, but I am learning more from you than from my classes.

[@dbsdbs114]

I love when you used to make videos like this. These are techniques i've never seen before. Its like more engineering and thought process then it is woodworking.

[@DrJessHughes]

Thank you for the link to the amazing table of miter angles and tilts! You saved us a tremendous amount of time this afternoon.

[@EddyProca]

About ten years ago, I made a six sided lighthouse lamp in the style of the Louisbourg Lighthouse in elementary school woodworking class. I wish I had your video and spreadsheet then, because it took my teacher and me forever to get the angles right. It's really interesting to see this now though.

[@davidchisholm457]

Mathias, Every time I watch your videos I am in awe of your intelligence. I am the kind of individual that when I see a model of something everything falls into place. I am attempting to build a dust chute for my miter saw and this application is exactly what I needed. It would be fantastic for woodworkers like myself if you could design a template where as an person could plug in the numbers from your spreadsheet and actually see their model change with the various degrees numbers available. I know your time is very valuable but this would be something that would be very high on my wish list. Best regards from Southwestern Ontario.

[@lindendrechsler6003]

Hi Matthias, everytime I watch your videos I recognize - you are in act a genius! Take care and have a good time. All the best from Germany... Freddy

[@Indigenousim]

I have run across this problem many times over the years, this is the best solution I have seen. Thank you very much.

[@jaredthomas8289]

I am going to school to be a mechanical engineer next year. After watching this, it is discouraging. I watch a lot of woodworking, fabricating, and general hobbyist project videos, as I love to create anything and everything, and you are on another level completely. Superb work, and a calm demeanor working with those frustrating clamps. Great stuff.

[@MoreThanMichael]

This is brilliant and your table is so helpful! I am so glad you've created this resource!

[@bee-u-tifuladventures4771]

This is a great tutorial. I have been struggling with the learning curve in figuring out how to make mitered angle cuts using my table saw. You just explained it in a way that I can understand it. It was like a light bulb went on as you were talking. Thank you for taking the time to share this knowledge with us. :-)

[@sailorgs3]

And yet the coopers of old managed to make their barrels, casks, buckets, etc. just by eye. No wonder in Spanish to say someone has good estimating ability they say "he has the eye of a good barrel maker". Matthias, I love your web pages and videos. I never get tired of them.

[@jfan4reva]

Your videos are always, original, creative, and above all, you're not afraid of math! Gotta love that!

[@lrarcr84]

You saved me a lot of time in the development of my projects, Thank you...

[@javiervila576]

Man, you never stop surprising me, I wanna thank you for all the material you upload. Best regards

[@larrykeating4911]

Used your splayed angle measurements for 6 sided bird nesting box, absolutely perfect fit.. Thanks a million.

[@barbarapreddy616]

This is exactly the thing I need. Planning on making a octagon bird feeder and was having trouble figuring out the angle degrees and the bevel cut degrees. Great job!

[@giorgiocastellano129]

I admire your work and your skills. If I want to find out about how to solve something complicated I always find the solution on your videos. You are a true genius. I look forward to further post.

[@mahmood4036]

You are a legend, saved me a lot of time thinking of the angles and tappering. This is great keep up the good work

[@JerryTraegerSmoker]

Stunning!!! As soon as I saw your tapered polygon I was thinking I could turn a bowl with that. Thanks Matt. Can't wait for the next One! Turn ON!!!

[@kimberleylowrie7151]

I have OCD and your work makes me happy!! Love it

[@JimTaylor42]

I've looked on your website and I congratulate you sir. I worked out the formula for a 6-sided, splayed out, mitered box but you have done it for the general case for sides 3 to 12. My intention is to use it to construct the roof for a wooden dovecote.

[@mikerichards1022]

loved the explanations that's just awesome, so many videos leave out the important stuff! great job and beautiful work. True talent

[@mayberrywj]

Matthias I love your work....you're very inspiring. Several years ago my son and I made an Ashiko drum. I downloaded a calculator called DrumCalc by Dan Sterantino's . From what I can see it does all the calculations you would need for the splayed miter angle... Easy glue method is this....lay all the pieces inside down on the table. Align them and put some masking tape on the joints. Flip over, apply glue, fold together and clamp with surgical tubing.

[@jeffreydawson1687]

Outstanding work! Thanks for putting the chart together, it’s very much appreciated.

[@bjorncmadsen]

I have been wondering about the trig to do this for 20 years, I tried to figure this out back in high school! Thank you.

[@haworthluke]

me too bro I found this a while ago but I was stumped for years too. He's on another level this guy

[@sutterrock]

so cool. Matthias thanks for kindly showing the math needed to make this bowl. Your are so fun to watch! Thanks!

[@snoopyslr]

Thank you so much for putting that excel sheet together. I just attempted this myself and I would say I was 95% successful. I couldn't replicate your clamping method... So I pulled a John Heisz and used pin nails :-)

[@beer1for2break3fast4]

Nice work as usual. You are an inspiration to the rest of us. Thanks for that and thanks for the cheat sheet as well.

[@jeffcarr392]

Your explanation on clamping odd angles is excellent, this could be really tricky, thanks.

[@joeyaldente8858]

You are such a super smart dude, I've watched your recent videos too and you have only gotten smarter, obviously super handy as well!

[@MrFinn]

Thank you so much for taking the time to work this out and share it! :)

[@jaymac9154]

Great video. I could never have worked the maths out. Just downloaded your data sheet. Very helpful. Thanks for sharing.

[@roymayh3819]

Love the channel, I keep coming back to learn new things and better things.

[@hossenfeffer8383]

Thank you very much for your table. Helps a newbie very considerably

[@grlg2]

Absolutely brilliant! I need to make a cap for a gazebo roof and this helped me no end. Cheers.

[@jimtyrrell1]

Thank you very much for sharing skills and knowledge. I'm, dusting off my wood lathe and I am looking for some ideas for turning bowls. Your math and video (very nice camera and sound) is inspiring. BTW, I'm pretty jealous of that 12" jointer. I should have one!

[@user-fs9xt3hi7j]

I’ve been looking for this math ALL DAY. Thanks man!!

[@drew11pd]

Great video. Free chart is much appreciated. Now to find a few projects that I can apply it to. You remain an inspiration.

[@superdau]

That is so weird! I'm getting a table saw (don't have much room so it'll just be a Bosch GTS10XC) and the first project to test out the miter and blade tilt angle will be a cone shaped dust separator made out of MDF or plywood segments. I knew I watched this video years ago, but because I like puzzles I did the calculations myself (mostly by geometry of plane intersections and other vector calculations). And now, two days after I did that, this video comes up on the suggested videos. I did not search for anything related to it (so Google shouldn't know), still I get this suggestion. But at least now thanks to your spreadsheet I could confirm that my calculations are correct (for all combinations of # of segments/side angle I checked).

[@andrewbyron6048]

Even a bunch of maths teachers couldn't figure this out but you make it so easy to do with your table! (I read your web page)Thank you for sharing this, I am hoping to make some garden planters using it.

[@user-br4hv3pt5s]

I laid the pieces outside up and taped them together. The flipped them over applied glue then brought them together. I then secured them with as many rubber bands as I had available. Worked for me. Thanks for the charts.

[@patrickarchuleta9594]

Your work is second to none outstanding work great attitude great idea's may God continue to bless your family and you.

[@OgreProgrammer]

Informative as always. You say only as much as needs to be said. I like that. I also appreciate the lack of music in your videos. If I want to listen to music while I learn something new, I have plenty in my own collection. Keep up the great work!

[@hermessoboleski676]

Great job Matt, I really enjoy your videos.

[@lrarcr84]

saludos Matthias. Aun ahora veo este video y es extraordinario me simplificas muchos detalles en carpintería. Aprecio mucho tu aporte

[@bal20]

Great video and thank you so much for the table of data. Didn't think I would find what I was looking for (want to make a hexagonal roofed hedgehog house), and for once KZbin found your video for me. This might just be one of the most helpful and concise informative videos ive found on here 👍

[@AJRelaxesWith...]

I repaired a couple of round columns and used a clamping system like yours; however, I used my biscuit joiner to cut slots and hold the pieces together while clamping. I know it was an extra step, but it helped a lot.

[@tomrudd530]

thanks a bunch, spent an hour or two cutting up some scrap plywood yesterday ended up pretty frustrated. this is a big help

[@serginnimot]

Hola señor matthias.me gustan mucho, sus videos y como explica sus conceptos.gracias por compartir y enseñar.

[@epamanonda1]

Excellent video, extremely useful angle table. Thank you .

[@soulfuzz368]

Ive been looking for this information for some time now. What a wonderful video thank you kindly.

[@allanmclean6659]

Thank you! I want to make some art frames and couldn't find any guides for the angles, a chart, or instructions. This come just in time, so thanks for having done this. (Wish I knew about this kind of math much earlier, but glad to have it now)

[@mikeosullivan6880]

Thank you so much man. You have taught me just what I needed to learn

[@billmccaffrey1977]

I had watched this a few years back when making 3D stars and now I'm going to make a wanky kids chest of drawers with compound mitered dovetails. Thanks again for the great info - saved me huge a mount of time.

[@TheTobs50]

Great video thank you Matthias! I learned a lot and looking forward to give this and others a try. Very inspirational.

[@shofar-man]

I never tried the math as a table was provided in a radial arm saw instruction book I purchased. Of course radial arm saws are notorious for inaccuracies and my first project for a polygon had slight gaps in the miters. I decided to solve the problem by gluing up in halves and sanding as you did but never put it into practice. Thanks for your research and tutorial.

[@atreyurockmysocks]

Goes through all the effort of making a 10 sided shape... Ends up being a rounded bowl. But you do it because you can, and my hat is most definitely off to you! Nice work.

[@larsromanenko4962]

A great video. Just what I have been looking for. Thank you!

[@nexus01gr]

Brilliant, as always! I especially enjoyed the comment on how glue (when still wet) acts as a lubricant...

[@edsimpers8414]

Thanks for the chart and technique my parts came off just about perfect 👍🏼👍🏼

[@marlondallas624]

Great 👍 thank you for using the regular table saw because every other video tell us to set 22.5 and regular saw measurement is 90o to 30o so this was good and safe instructions 👌

[@MrWoody135]

"Not sure what I'm going to do with it!"......classic. Excellent video and commentary as usual.

[@terrygodley6822]

Thanks very much Mathius... I was getting annoyed mitres "not quite right" on a half octagon-ended conservatory roof insulation project. Your cheat-sheet worked a dream with no more guessing (roof angle 30 to horizontal or... 60deg splay... Cheat sheet says mitre 19.73deg, saw tilt 11.03deg...worked perfectly) . Keep producing those videos...

[@musicbruise]

Awesome bit of woodworking and problem solving. Would love to make a sculpture using this method.

[@ColchesterBridgeport]

Loved the methodology behind finding the clamping point. I'll definetly use that one.

[@nitovelez5733]

Thank you. Your videos are very informative.

[@jamestiedt5242]

If you want your adhesive to not act as a lubricant, throw a pinch of sand on one of the faces. The glue will hold the sand on until you clamp, then bite through the glue and keep the wood from sliding...

[@brianmichaelhamilton8831]

Salt also does the trick!

[@matc87]

thanks I think this has just been the video and help I've been looking for with a project of mine..cutting odd angles and hasn't been working. thanks for the chart to

[@mikedelam]

I only found this here after struggling many hours with this. As a regular viewer of yours, I should have known you would have it all worked out already.

[@Rockstar-lx2li]

God you're a genius,.. you should be working in a high tech workshop .. I love your work buddy, keep it up :)

[@chevroletdieselnation]

I made one. Your plans helped a lot

[@bhoola123]

Thank you for sharing the table. It is great job.

[@filmgarden]

fantastic! so helpful for many different projects

[@vancouverkitchencabinet7186]

Amazing work! Awesome Machinist! I really like your video because you showed your expertise and experience! in the last few months I was watching the KZbin for INCRA MITER 1000HD that I brought few more incra INCRA tools and fence "I'm very happy with my shopping" most of the time in videos shows with hi tech tools you can get great results! But you showed you know how to do it with very simple tools and miters! (( most CNC's machinists knew how to make this Woodcraft with CNC !, But just wondering how many CNC Machinist, carpenters and millworkers know how to make such things with simple tools ( Not CNC and NC!) Great job!

[@eastlothian98]

Magic man make numbers work. Me make good shapes now. Thank you for doing the maths!

[@knockinbox]

8 AWESOME ANGLES!

[@arthurgriffin1210]

Incredible demonstration!! Thank you

[@nebula674]

wow it really worked. thank you! greetings from the Netherlands

[@bobham5]

On similar constructions I have found that splitting it up into two operations simplifies things, at least for me. I used a taper jig on the table saw to taper all the segments to final size, leaving the blade vertical for square edges. I then beveled the tapered edges on the jointer with the fence tilted to the proper miter angle for the number of segments. That would be 18 degrees for your ten segments. They fit together perfectly. My grain direction was the other way, though. Bob

[@jeffflinchum700]

Awesome Matthias! Great job.

[@MrDiego718]

amazing teaching, thanks for your time

[@chriscaven7626]

Thankyou for your tutorial...really helped me out

[@ahmety844]

I rare do comment. Your technic and share is inspiring me. I’d like to thank you helping me.

[@LM-fn6qb]

Thanks so much for this video. It is just what I was looking for.

[@12345NoNamesLeft]

Agreed, that was one of those tips you realize when you see. . I also agree with Matthias that the one handed quick grips don't have much clamping power, but you could use it to get the parts in position and then add the good clamps after.

[@echarters]

In any gluing or clamping job you need a three-handed carpenter. Or one who can always say, no matter how busy he is, "on the other hand.." M. Wandell's greatest contribution to humanity will be to invent the one handed clamp which will reach in 3 and a half feet, have as depth of 2 feet and fit your pocket -and- clamp from a flat surface, something onto that same flat surface.. which we shall call "the hover clamp." Similar but reversed in principle to the No. 10 General Purpose Skyhook, which is used for lifting things from the floor from any point with no available overhead suspension..

[@matthiaswandel]

considering that I turned away most of the material in my next video, splines would not have been a good idea.

[@jamesallen6007]

You, sir, are a master. Well done. 👍😷🇬🇧

[@jerrybarajas3649]

You're a fucking genius. I probably have to watch this video a million times before I get the calculations. But I WILL get it eventually. Thanks and congratulations!

[@owlfire6502]

Genius.. I wish I can just comprehend all these numbers but thank you for your fomula. I'll try them out.

[@aubydauby]

After all these years, I never noticed the ShopSmith. Neat

[@btCharlie_]

Matthias Wandel, *the* OG woodworking KZbinr

[@CHIC1957]

Matthias you’re a smart man

[@philipselman2564]

On your angle calculation chart. KOOL AS HELL MATTHIS now I like that super good