Geometry of a 3D Wooden Star ★

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  • เผยแพร่เมื่อ 14 ม.ค. 2025

ความคิดเห็น • 345

  • @danbreyfogle8486
    @danbreyfogle8486 9 ปีที่แล้ว +16

    GREAT video and inspiration. I watched it this morning and spent a couple hours today building the sled. After a bit of frustration getting my head wrapped around how to turn each piece for cutting I made 3 flat stars, beveled ones are a project for tomorrow. I used your math to make a CAD drawing of the triangle, printed it out, and transferred it to the sandpaper. Once I cut out the paper I glued it to the sled and used it as a guide for installing the cutting blocks.

  • @thejoshmoss
    @thejoshmoss 11 ปีที่แล้ว +4

    I've been watching a playlist of your videos for about 45 minutes, amazing tricks in every one. and there is always something to smile at. Thanks for sharing your workshop and knowledge.

  • @learnerlearns
    @learnerlearns 9 ปีที่แล้ว +17

    This is just beautiful in every respect!
    From defining the 3D geometric challenge and analyzing the problem, through your clear exposition of the trigonometric solution, with a simple algebraic cancelation of sines... to the realization with that clever practical jig and using straight-grained wood that accentuates the star's geometry... Superb! There's a wondrous universe inside your Brain buddy!

  • @jimstools3937
    @jimstools3937 6 ปีที่แล้ว +1

    THIS IS THE ONLY VIDEO THAT CAN EXPLAIN IN DETAIL IN MAKING 3D WOODEN STARS, THANK YOU FOR SHARING.

  • @pocket83
    @pocket83  12 ปีที่แล้ว +1

    I typically use (and recommend) a 24-tooth 7.25" Freud Diablo for general purpose. I also keep a 40-tooth handy for special purposes. The 24 is usually under $10 and it has nearly the finest kerf I have seen. Home Depot carries it; obviously it is the bright red one.

  • @pocket83
    @pocket83  11 ปีที่แล้ว +3

    I once heard a mathematician say that he became good at it because he was lazy. I kind of agree with that. I don't know all of my times tables, and I am not good at memorizing numbers or angles, but I like to know enough math techniques so that I don't have to memorize. Carrying around the solutions to all of life's problems would be a lot heavier than just carrying around the ability to solve them ;)

  • @johnhowell6258
    @johnhowell6258 7 ปีที่แล้ว +3

    As a math tutor and a wood working hobbyist, I LOVED this video. Great job showing the math to the side lengths. Pinned this to my favorites!

    • @thomasdoherty7840
      @thomasdoherty7840 4 ปีที่แล้ว

      John Howell why not keep it simple! 3 x Tan (72) = 9.233 easy steps in Roof Carpentry.

  • @brianps73
    @brianps73 10 ปีที่แล้ว

    I appreciate how you showed the steps to solving the math involved here. I've been driving myself nuts and burning through a lot of wood trying to figure out the correct angles. This will help a ton with my appliqués I use for my rustic furniture. Thanks!

    • @pocket83
      @pocket83  10 ปีที่แล้ว

      Great. I'm glad it is helpful. This method will serve you well for a star against a flat piece, like on a piece of furniture. Once you figure it out and make the sled, it becomes super easy. Good luck, and let me know if I can help you any further.

  • @pocket83
    @pocket83  11 ปีที่แล้ว

    You are very welcome. I'm happy that you liked it, so thanks for letting me know. This one is one of my favorites.

  • @ovnox
    @ovnox 5 ปีที่แล้ว +1

    Great video. Going to try and make a bigger one with a bandsaw and that jig. Thank you for breaking it down so understandable that a child could follow your instructions. This should be a project in high school wood shops, if they still exist

  • @AlexanderDyer
    @AlexanderDyer 11 ปีที่แล้ว

    I found the math to be a very entertaining portion of the information and that part about getting more sure placement of parts by using math, well that is like a ray of sunshine. I will be looking to us that type of thinking in a future project. Thanks for making the sun shine, lol.

  • @coburnlowman
    @coburnlowman 7 ปีที่แล้ว +1

    Back before computer cad , us older tool makers would sit at our benches for hours figuring all our dimensions for making punch and die sections. Someone would walk up and ask a simple question and it was like a punch in the gut tryin to wrap your brain around what you were doing again.

  • @pocket83
    @pocket83  11 ปีที่แล้ว

    Thanks! I use mathematics a lot. I don't know why so many carpenters have such an aversion to it. It really is just like using a coping saw or a chisel- the more you do it, the better you get, and the more things you can use it for.

    • @thomasdoherty7840
      @thomasdoherty7840 4 ปีที่แล้ว

      pocket83 The maths is one sum Let’s keep it simple! 3 x Tan (72) = 9.233 that’s from an old roof carpenter

  • @newstart49
    @newstart49 8 ปีที่แล้ว

    A more than outstanding video! Precise and to the point with a calm approach!
    I was pulling my hair on the math. I got it the first time watching this video- I know where I was going wrong.
    I've been woodworking for 40 years or more and just now I decided to make 3D stars- go figure.

  • @pocket83
    @pocket83  11 ปีที่แล้ว

    Yep, my sister lives there, so I should probably send her one. I really liked the math part, but this is probably my favorite video. Maybe because I had to scratch my head so much to make it. There was a lot of math involved that I didn't include, because I get the feeling that it bores most viewers. Thanks for watching and commenting!

  • @pocket83
    @pocket83  12 ปีที่แล้ว

    Most of my audience is American. The numbers are really arbitrary, and it is just a simple conversion. Also, it makes little difference if you are using digital calipers. But I do agree with you, and I often use both systems.

  • @jackmehoff4124
    @jackmehoff4124 8 ปีที่แล้ว +1

    if this guy was a boy scout they would give him a merit badge for multiple reasons. who couldn't appreciate and marvel at this demonstration. ya might have view it more than once since it is loaded with information but unquestionably, a GREAT VIDEO !

  • @pocket83
    @pocket83  12 ปีที่แล้ว +1

    I love that you love it. Thanks for continuing to watch.

  • @Brandywine6969
    @Brandywine6969 7 ปีที่แล้ว

    Thank you for making this video. I love it when someone makes a jig instead of hawking an expensive product most of us would only use once, if we bought it.

  • @brandonkitchens8498
    @brandonkitchens8498 7 ปีที่แล้ว +37

    The age old question in math class of, "when will I ever need to use this in real life?" has been answered. Shit... I should have paid more attention!

    • @whoDatBeDare
      @whoDatBeDare 6 ปีที่แล้ว +1

      LOL! Yeah ok - so there's 1. And it's a choice. Should have spent more time on how to invest properly for retirement etc.

    • @brooksbrooks6805
      @brooksbrooks6805 5 ปีที่แล้ว +1

      Doesnt matter because this video is a better teacher on the math process than any actual math teacher in school.... you can learn ANYTHING online. As long as you have the drive to seek out this knowledge, college is a waste of money

    • @Acheiropoietos
      @Acheiropoietos 5 ปีที่แล้ว

      Never too late to learn! I'm 51 and studying GCSE maths in night school. Great fun!

    • @thomasdoherty7840
      @thomasdoherty7840 4 ปีที่แล้ว

      Brandon Kitchens Let’s keep it simple! 3 x Tan (72) = 9.233

  • @pocket83
    @pocket83  11 ปีที่แล้ว +1

    I appreciate it. It seems that we share some similar interests. I really liked the work that you did with tetrahedrons. Thanks for stopping by ;)

  • @marcintolas572
    @marcintolas572 8 ปีที่แล้ว

    Great respect for the materials in every of Ur videos, minimizing wastes. Respect!

  • @pocket83
    @pocket83  12 ปีที่แล้ว

    All the more reason to watch again and practice it. It becomes easy after awhile, and it makes you a better carpenter... everything in carpentry is triangles. If you do that problem ten times without looking, you will never forget how to do it.

  • @Furfoot77
    @Furfoot77 9 ปีที่แล้ว

    This is the best star instruction video i have seen yet, thanks.the math is a little beyond me.

    • @thomasdoherty7840
      @thomasdoherty7840 4 ปีที่แล้ว

      PixelRick The maths is one sum Let’s keep it simple! 3 x Tan (72) = 9.233 that’s from an old roof carpenter

  • @pocket83
    @pocket83  12 ปีที่แล้ว +1

    You could do that, but why bother with the extra work now that the numbers have been figured out? Also, with something this precise, the thickness of the printed lines or any minor distortion from the printer could be enough to throw it off.

    • @whoDatBeDare
      @whoDatBeDare 5 ปีที่แล้ว

      Agreed. A digital protractor is best.

  • @pocket83
    @pocket83  11 ปีที่แล้ว

    I'm glad that you enjoyed it. Thank you.

  • @mrhangermancrafts167
    @mrhangermancrafts167 5 ปีที่แล้ว

    this is a great video with showing how many maths is actually involved in making woodworking projects. Thanks for sharing

    • @thomasdoherty7840
      @thomasdoherty7840 4 ปีที่แล้ว

      Mrhangerman Imagine and Inspire The maths is one sum Let’s keep it simple! 3 x Tan (72) = 9.233 that’s from an old roof carpenter

  • @pocket83
    @pocket83  12 ปีที่แล้ว

    Thanks, MrChris. I am glad that some of us out there enjoy this stuff. I think many will find this one tedious or boring. And sorry I made the message too short (I couldn't get it either).

  • @MrMaacin05
    @MrMaacin05 3 ปีที่แล้ว

    This is absolutely brilliant and thank you for taking the time to figure this out and explain it so eloquently. Will definitely be making this sled.

  • @ryanmcnair3451
    @ryanmcnair3451 5 ปีที่แล้ว +1

    Beautiful 2x4's you started from!!! Seemingly straight and Not a knot in sight. The 2x4's at my local store as aee knot riddled twisted cupped and bowed, usually with some visible wane

  • @timfoster5043
    @timfoster5043 9 ปีที่แล้ว

    I kept trying to think of a way to calculate the cuts by using a miter saw. Your sled eliminates all this. Good job.

  • @curtisz789
    @curtisz789 10 ปีที่แล้ว

    7:10 I use brad nails that are sticking out just a bit 1/16 or 1/32 and sharpen that keeps the wood of moving. A bandsaw with sharp blade for cutting small part works good too. Thanks for the great video, big help.

    • @pocket83
      @pocket83  10 ปีที่แล้ว

      I agree: this method could easily be adapted to a band-saw. That would likely be less precise, but better suited to building large stars. Glad this was useful.

    • @curtisz789
      @curtisz789 10 ปีที่แล้ว

      pocket83 Yes it would be less precise only because the most bandsaws are not setup for more precise work, like using a fine cutting blade ect. My other thought is to setup a small disc sander. Thanks again for the Great how to do video you made!

  • @TheMomanslm
    @TheMomanslm 8 ปีที่แล้ว +2

    Deep. I just did 360 degrees divided by 5 = 72. Each finger has two parts so half 72 for 36... Maybe I'm too simple minded. I didn't care about the angle at the point. My only concern for angles was where they joined. Equal length took care of the points. I do like your sled though. Thanks for sharing.

  • @whoDatBeDare
    @whoDatBeDare 5 ปีที่แล้ว +1

    On the subject of sizing the stars. A 1" clearance from the blade kerf to the alignment blocks gives a 6 1/8" star. So a 2" clearance gives a 12 1/4" star. And a ~5" clearance would produce a ~30" star. Practicality not withstanding.
    Alignment block left > 1" clearance blade Kerf 1" clearance < Alignment block right

  • @KBBAKTHA
    @KBBAKTHA 5 ปีที่แล้ว

    Brilliantly explained in this crisp build video. Thanks

  • @TiffanyIndigo
    @TiffanyIndigo 9 ปีที่แล้ว

    Your projects make me feel like a kid again. Thanks.

  • @PauloJOliveirabr
    @PauloJOliveirabr 2 ปีที่แล้ว

    Great video inspiration! Pretty beautiful work!
    Thank you very much for the express class on geometry. We get so busy with everyday tasks that sometimes we forget about these basic things we learned in school. Amazing work! Congratulations!

  • @richardhutman8515
    @richardhutman8515 4 ปีที่แล้ว +1

    I haven’t heard sine for almost 45 years, my math teacher would be proud! Nice job!

  • @fubarsnafu4994
    @fubarsnafu4994 ปีที่แล้ว

    Best video available ! Hands down 👍

  • @paulowens8634
    @paulowens8634 4 ปีที่แล้ว

    I made a couple of stars and they were ok, but not perfect. After watching your video I got some serious info on the technique of the angles needed. Can't wait to make that jig. Thank you very much.

    • @pocket83
      @pocket83  4 ปีที่แล้ว

      Great. Let me know how it goes.

  • @TomStratton
    @TomStratton 11 ปีที่แล้ว

    Most excellent thanks, a great way to combine my favorite subjects of woodwork and maths. . Well produced and presented.

  • @JohnHeisz
    @JohnHeisz 12 ปีที่แล้ว +2

    Nice!
    I think the subliminal message in this one was revealed when immediately after I watched it, I did a Google search on why people put stars on their houses.

  • @pocket83
    @pocket83  11 ปีที่แล้ว +1

    Did you make a similar jig to what I used? If so, the placement of the block on the jig must be incorrect if you are getting 3-points. Also, try making the paper star- it seriously helps the confusion. I totally understand, but don't get frustrated... it took me a week to develop this method. The video makes it look so easy. It isn't. Give me more details if you still need help.

  • @JF0913
    @JF0913 6 ปีที่แล้ว +1

    This is an awesome video. I've been trying to position these side blocks and can't seem to get it right. I know my measurements must be off somewhere. So in the example a= 1 inch and b is equal to 3.078. So then is a= 3 inches then b = 9.234?

    • @pocket83squared
      @pocket83squared 6 ปีที่แล้ว +3

      Yes. You could also multiply both of those numbers by 2, or 4, or 5, or any other number. It's a ratio, so one side of the triangle just has to remain the same _proportionally_ to the other.*
      The numbers 1 and 3.078 are a generic solution that can be multiplied to apply to any size blocks for any size sled, and it will always give you the correct angles.
      The other dimensions on your sled will all have to do with the width of the stock you use, so that will take playing around on your part. I really hope I helped in some way.
      *Oh, and one more confusing part: you can't _add_ a number to both of those numbers, because it will change the ratio. Preserving a ratio only works with multiplication, and not addition. Think of it this way: a triangle that's 1x2 has the same shape as a triangle that's 2x4. Now add 1 to each of those numbers instead; a 1x2 triangle is NOT the same shape as a 2x3 triangle.

    • @JF0913
      @JF0913 6 ปีที่แล้ว

      Thanks again. I kinda figured the sled dimensions played a role in this as well. You really helped me thanks. It took you a week to figure this all out might take me a year. LOL.

  • @JohnHeisz
    @JohnHeisz 12 ปีที่แล้ว +10

    You explained the math very concisely and if you didn't cover it, someone would ask how you worked out the angles.
    I wouldn't be one bit concerned about the thumbs down. There's about a 10:1 ratio, one idiot to 10 non-idiots, so you are bound to get a few. Idiots like clicking that button, it's easier than thinking or writing something constructive.

  • @Briguy1027
    @Briguy1027 6 ปีที่แล้ว

    wowsers -- geometry - it's been soooo long. Who would have guessed how useful it can be.

  • @tri4ben
    @tri4ben 2 ปีที่แล้ว

    Wow you did such a good job with the grain patterns

  • @calistastevens
    @calistastevens 11 ปีที่แล้ว

    That was awesome Pocket!!, and now I can make some stars.I loved the way you matched the grain in the wood to make............I don't no like infinite little stars. It felt like that to me anyway.
    Thank you, and keep up the great work that you do because people will learn a lot from watching them. I well anyway.Kevin.

  • @TSD0416
    @TSD0416 6 ปีที่แล้ว

    Thank you for uploading this tutorial plus the math lessons. I'll give you a thumbs up for your neat work. My dad would really appreciate this tutorial, being a carpenter and a math Wizard. However, I"ll pass and will go to Homesense to pick up a star to decorate my shelf.

  • @Mr2at
    @Mr2at 8 ปีที่แล้ว +21

    my brain has just exploded.

    • @steffankaizer
      @steffankaizer 7 ปีที่แล้ว

      yea simple geometry haha i bet it took him days to figure this out. i tried it and have still no idea how to calculate any of that. but seeing the numbers solves it pretty good

    • @edwardwickins1970
      @edwardwickins1970 7 ปีที่แล้ว

      Mr2at how to make a barley twist

    • @sinom
      @sinom 6 ปีที่แล้ว

      steffankaizer it really is simple geometry. If you have been doing this stuff for a while you can solve this in under minute.

  • @pattyofurniture100
    @pattyofurniture100 2 ปีที่แล้ว

    How did you clamp the pieces together for the glue up? Surely you didn't stand there for an hour holding them together

    • @pocket83
      @pocket83  2 ปีที่แล้ว

      Masking tape is one simple way. Note that the backside is flat, so taping them there is also an option.
      You might also consider that wood glue has a several-second tack bond, so it actually _is_ possible to hold them together until they're all set in position. Somewhat surprisingly, precisely fit parts like this are among the easiest things to glue up (thankfully). You'll have enough time to tinker with them, and it's quite clear when they're not correctly aligned. Once you're satisfied, a sand bag can be used to apply a uniform down-pressure.

  • @brandondblaine
    @brandondblaine 9 ปีที่แล้ว

    Great job. Been looking/thinking about wooden stars for a while. Thanks.

  • @garrettwaggoner3174
    @garrettwaggoner3174 4 ปีที่แล้ว

    Thank you for this. Admittedly, I just came for the angles and measurements of your jig. While I did learn your awesome process, I also get the sense that I am LOT less educated than I thought.

  • @X3WorkshopDesigns
    @X3WorkshopDesigns 6 ปีที่แล้ว

    What's the degree angle at the top of A at 3:43 mark?

  • @JF0913
    @JF0913 6 ปีที่แล้ว

    Thanks so much for your. Response. I'm amazed at your work. All your videos are great. I'm new to wood working and really want to make this star.

  • @sinsilius
    @sinsilius 12 ปีที่แล้ว

    I liked the video a lot! Nicely made video and very good project.
    What saw blade did you used? Looks like very think kerf.

  • @golfnutdave
    @golfnutdave 11 ปีที่แล้ว

    Do you have any tips or tricks for making the sled and placing the blocks in the correct place? I understand the math/ratio tutorial, but I am curious how to actually place the blocks so they are perfectly angled and perfect mirrors of each other.

    • @pocket83
      @pocket83  11 ปีที่แล้ว +3

      Sure. I stripped this video down a good bit, to prevent it from being too long.
      The first thing that I would do is make a sled with a single cut in it, so that it is "zero-clearance." I would recommend using a thin-kerf, 7 1/4" saw-blade, so that your cuts are nice and thin to begin with. Next, just measure out your triangles on each side of the saw kerf, using the edge of the kerf itself as the "b" side of each triangle. The blocks are placed along the "c" side, so draw the triangles with a nice, precise pencil-line, and just use short drywall screws to attach the blocks from underneath, so that you can reposition if needed. Spray-adhesive on the blocks will make it easier to make micro-adjustments by reducing sliding around. In order to tell where the blocks end, it just depends upon the thickness of the star stock that you are using, so it may require experimentation. Oh, the sandpaper is just stuck with spray-adhesive. If you need more specific help, just ask. I can always give you dimensions, if needed. Good luck.

  • @ibrahimalnasser8866
    @ibrahimalnasser8866 7 ปีที่แล้ว

    you are the best ever.
    love this project and really love the way you are thinking and doing
    thank you very much

  • @davidvarner2201
    @davidvarner2201 ปีที่แล้ว

    My only question is what angle is the stock cut at prior to all of the compound cuts?

  • @kennnva551
    @kennnva551 3 ปีที่แล้ว

    This gives me thoughts on how to make 3D crosses for Christmas presents. Thanks!

  • @TeddDecker
    @TeddDecker 9 ปีที่แล้ว

    Question: In making this, which is a great solution to a making a star, there seems to be a lot of waste. What I mean is, you have to hold on to something on the sled fence, because the actual piece that is being made is on the "waste" side of the blade. Not an issue if using a 2 x 4, but if you use walnut it becomes a concern. Is there an efficient way of cutting your pieces?

    • @pocket83
      @pocket83  9 ปีที่แล้ว

      briansullivan63 Sullivan I totally agree. Waste is just a simple fact of using this method. Since I used 2x4, it was little concern, but I would be interested to see an improved procedure. I'll think about it.

    • @danbreyfogle8486
      @danbreyfogle8486 9 ปีที่แล้ว +1

      +briansullivan63 Sullivan I stumbled onto a solution to the waste. It is hard to describe but if you use the jig to cut off the waste and pay very close attention to its position on the kerf you get a second star from the waste. Now this is making the flat style star, I am not sure it will work with the 3D version.

  • @avoidtheherd7066
    @avoidtheherd7066 4 ปีที่แล้ว

    Planning a 12-point star for a clock. This showed me how. I can't thank you enough.

    • @pocket83
      @pocket83  4 ปีที่แล้ว

      That would be beautiful. I haven't thought of that. Hope it turns out well!

  • @donaldtoohey2380
    @donaldtoohey2380 7 ปีที่แล้ว

    I really enjoyed this video. Not much info on the Web on how to make a 3d star. Much appreciated.

    • @pocket83
      @pocket83  7 ปีที่แล้ว

      You are certainly welcome. I hope it works out for you!

    • @marionarvaez1438
      @marionarvaez1438 6 ปีที่แล้ว

      Donald Toohey

  • @DTBBACK08
    @DTBBACK08 5 ปีที่แล้ว +1

    How did you determine th angle to create the "angled" stock?

    • @BarryHolsinger
      @BarryHolsinger 2 ปีที่แล้ว

      here I am 2 years after your question and pushing a decade on the original video, and I can't work out that angle either.

  • @YoAug62
    @YoAug62 3 ปีที่แล้ว +1

    I'm so fascinated with woodworking, trying to teach myself now that I'm retired. This video is very helpful, but I need to brush up on my math. It's been over 40 years since I've used geometry.😂😂😂. Any other tips or resources will be greatly appreciated. TFS

  • @clindelof
    @clindelof 12 ปีที่แล้ว

    WOW... You're videos have always been good.. This is a whole new level. Great use of technology and math. It is obvious to the audience that you really know your stuff. Keep up the good work. I check out your videos on a regular basis!!!! Charlie

  • @zeratul575
    @zeratul575 11 ปีที่แล้ว

    DUDE!!! you just made yourself even more awesome!!! thanks for that man seriously

  • @dannyherrera1740
    @dannyherrera1740 8 ปีที่แล้ว

    Would you be able to have downloadable dimensions of the sand paper you have on your sled?
    Just like you did on you plant holder video....
    Much appreciate your videos....Thanks!

  • @HaLo2FrEeEk
    @HaLo2FrEeEk 6 ปีที่แล้ว

    I made a small one of those by hand out of a single piece, carved and shaped it with chisels, rasps, files and sandpaper. It's about 2 inches tall when standing on two of the legs.

  • @dennyskerb4992
    @dennyskerb4992 8 ปีที่แล้ว

    Great job explaining. Now Joey pay attention and you can do it like this gentleman did!

  • @unclebob1571
    @unclebob1571 11 ปีที่แล้ว

    I love it. Not too much math. Have you ever been to Texas? State logo is this 3-D Star! Great vid - please keep them up.

  • @mariano_353
    @mariano_353 3 ปีที่แล้ว

    Hi! I'm trying to make this work. But it seems I'm missing the correct angle for the stock piece that enables you to cut the shorter side soft each triangle. What's the angle of that cut for the stock piece (the end grain part) relative to its side? Thanks

    • @pocket83squared
      @pocket83squared 3 ปีที่แล้ว +1

      I'm sorry, but I really don't understand your comment. Please give me a timestamp from the video or try to clarify which angle it is that you're after. So far, are you using the exact same method that's shown here?

    • @mariano_353
      @mariano_353 3 ปีที่แล้ว

      @@pocket83squared I'll try to explain better. It's at 3:12
      I don't have a miter saw. So in order to cut that piece of stock that ends up fixed on the sled I set the miter gauge on my table saw to 72 (90-18). But once cut, the shorter cathetus of my triangle ends up being not steep enough and once I start to assemble I can't get a five point star.
      Thanks for the video and your answers!

    • @pocket83
      @pocket83  3 ปีที่แล้ว

      ​@@mariano_353 Sorry in advance for making something simple seem complicated, but anything will seem easy once you've figured it out!
      Is sounds as though you've done everything right. A table-saw's miter gauge _usually_ will read the same way that the numbers on a miter-saw do. The reason for this is that a table-saw's blade is perpendicular to the 0° setting on the miter gauge. 0° is _really_ 90°. It is possible that a gauge will read 90 instead of 0 when set for making a normal, square crosscut. Thus, you should be setting your gauge to either 18° or 72°. One way to look at this is that 18 and 72 are the same angles, viewed different ways.
      Looking at the cut piece that's on the sled, if we were to place a protractor on it (with the bottom line kept along the bottom edge), it should read 18/72. If your gauge when set to one of these is still giving you something else, then its markings are likely incorrect. Try to test your angle against a protractor first, just so that we can rule out your gauge's markings.

    • @mariano_353
      @mariano_353 3 ปีที่แล้ว

      @@pocket83 thanks for the answer. Don't worry, it's probably me missing something evident. Gonna measure the angles again

    • @mariano_353
      @mariano_353 3 ปีที่แล้ว

      @@pocket83squared went back to this today. Sort of nailed it. And I mean sort of because I ended up with a 8° gap once all parts are assembled. So I guess I botched that cut and the error carried over to the whole 360° turn. Gonna make some adjustments

  • @fgriffintx
    @fgriffintx 9 ปีที่แล้ว

    Thanks for doing the geometry! I have been trying to figure out how to cut a similar star, but with solid "arms", rather than made of 2 glued pieces. Have you put your brainpower to work on that approach (maybe using a jointer sled somehow?).
    p.s. As good as you are, you deserve a better table saw - get a SawStop and you'll be glad you did!

    • @pocket83
      @pocket83  9 ปีที่แล้ว

      A copy-cutting device comes to mind; perhaps a router-based pantograph is what you are after. An alternative might be an inclined router sled, but given the radial symmetry and precise stops necessary, you would end up with jigs more complicated than the pantograph is! Further, lumber size would quickly become problematic.
      As for the table-saw, I presently have no problems with the one that I have, but my next upgrade is not very likely to be a Sawstop. So far, I'm not impressed by the hype. Please do not ask me to debate this subject.

    • @fgriffintx
      @fgriffintx 9 ปีที่แล้ว

      Thanks for reply! Since you seem to be a solid geometry guru, can you tell me how to create a star maybe 3 times the size of yours? Do I need a very thick piece of wood to then rip on 30 degree angle? Also, does the geometry of this star mandate that both cut angles are 18 degrees? Or did you use your jig that way for convenience, making both cuts on same jig. I have seen "fat" stars, so could I make a second jig at a different angle to make longer, skinnier arms?

  • @scarmenl
    @scarmenl 11 ปีที่แล้ว

    Hey nice. Something I can do while the cnc machine is running long carving sequences.
    Thanks.

  • @jamesananopulos9319
    @jamesananopulos9319 7 ปีที่แล้ว

    WOW. Love it, now to try it. Thanks for the info

  • @bobomaniaco
    @bobomaniaco 6 ปีที่แล้ว

    Beautiful!! Really nice work.

  • @thomasswenddal772
    @thomasswenddal772 5 หลายเดือนก่อน

    Thanks for the math. I like to cut to the "chase scenes" as soon as possible.

  • @whoDatBeDare
    @whoDatBeDare 6 ปีที่แล้ว

    Might be just me but it looks like you only need one side. Not both to have the angled blocks. So you could cut the build complexity in half. (???) - Yes, proven in Sketchup. I have added my Sketchup version to the 3D warehouse under the same name as this video. Shared with best intentions. ( I have NOT looked at the 30° slope 3D version as yet. )

  • @lonniec2116
    @lonniec2116 3 ปีที่แล้ว +1

    I'm a little late to the party but thanks for the vid and clear explanation. Thumbs up and subscribed.

  • @jairherreraleon
    @jairherreraleon 2 ปีที่แล้ว

    Excelente trabajo..

  • @marcw2426
    @marcw2426 5 ปีที่แล้ว

    How about how to make a bigger star, like the ones on an Amish barn?
    Been watching this video many times and still don't know how to start on the bigger version.

  • @jeffcenter1720
    @jeffcenter1720 10 ปีที่แล้ว

    Great Video! What is the formula for the backside f the triangle? A=1inch, B=?

    • @pocket83
      @pocket83  10 ปีที่แล้ว

      When a=1, b=3.078... so I don't really understand your question. What else would you like to solve for?

  • @blughsr
    @blughsr 4 ปีที่แล้ว

    Great teaching.. I was nerding out on the math.. Love it

  • @The282mike
    @The282mike 2 ปีที่แล้ว

    So how did you arrive at 0.9511 over0.3090 sine 72 divided by sine 18=4 doesn't it?

  • @ianmacfarlane1241
    @ianmacfarlane1241 7 ปีที่แล้ว

    You are a star 🌟. More fantastic content from an amazing channel.

  • @albertlagerman
    @albertlagerman 6 ปีที่แล้ว

    Woah! It's really cool to see you go into so much detail on something :) Also, when did you stop using the Matthias style push sticks?

  • @HerHighnessofQueens
    @HerHighnessofQueens 8 ปีที่แล้ว

    you've gone way beyond the layman's terms of wood working 😊😊

    • @thomasdoherty7840
      @thomasdoherty7840 4 ปีที่แล้ว +2

      Ella Gilbert The maths is one sum Let’s keep it simple! 3 x Tan (72) = 9.233 that’s from an old roof carpenter

  • @ib9rt
    @ib9rt 11 ปีที่แล้ว

    Nobody seems to have mentioned it, but you did not need to use the law of sines to solve that problem since you have a right angled triangle. The law of sines works on any triangle, but right angled triangles are simpler. With your triangle you have tan A = a / b, therefore b = 1 / tan 18° = 1 / 0.3249 = 3.078 as you found.

    • @ScottKershawRX
      @ScottKershawRX 11 ปีที่แล้ว

      I am sure that pocket83 wanted to have his information apply to any triangle (need an angle on a triangle? Ah ha! I can use the law of sines.) and that is why he included this law not narrowed down to right triangles only. Thankfully math provides us more than one way to skin a cat. Your comment contains the same reasoning.

  • @donf3739
    @donf3739 ปีที่แล้ว

    Did you just let the glue set up without clamping? I can't imagine an easy way to clamp them.

    • @pocket83squared
      @pocket83squared ปีที่แล้ว +2

      Yes-but there is a better way. The backside of the star is a flat face. You can join parts together there with masking tape. Tape will make a sort of hinge that you can bend open. When you add glue, there will be just a little bit of added thickness that'll give you a nice, tight joint. Once glued, simply weight down the star with a sandbag.
      Good luck. Let me know how it goes!

    • @donf3739
      @donf3739 ปีที่แล้ว

      @@pocket83squared Brilliant! Thanks.

  • @mattthomas1217
    @mattthomas1217 10 ปีที่แล้ว

    You have so much skill for this I love you videos

  • @stevehubner560
    @stevehubner560 3 ปีที่แล้ว

    i loved it and learnt from you math solution fantastic i love it when the penny drops on something!

  • @4laoye
    @4laoye 3 ปีที่แล้ว

    like it, very useful. Thanks for sharing!👍💪

  • @jakehamilton614
    @jakehamilton614 7 ปีที่แล้ว

    How do determine the distance of your angles from the blade? I want to be able to make different sizes of stars so maybe a groove in the sled is the way to go but I'm unsure about which direction it would need to slide (horizontal and/or vertical). Please help. I have been watching your video for weeks and building a little at a time. The concept has been very difficult for me to grasp. Thank you.

    • @pocket83
      @pocket83  7 ปีที่แล้ว +3

      Be patient. This is some pretty confusing stuff. Once it clicks for you, it will seem easy, because we often become distracted by all of the non-relevant information at first.
      Those angled blocks on the sled were placed where they were based on the stock that I was using. So, their size and placement depend on how big the stars you want to make are.
      Lets say that you just draw the blocks on your sled first: this way, you can make the imaginary blocks go all the way to a point (at the sled's kerf). Now you can just place a piece of your scrap stock on top of it to see how much material you will have to remove. Just trace it. Do the same thing for how much space you will need to keep away from the sled's fence. If all else fails, try to approximate the proportions of my sled to get it close, and then make adjustments by trial and error.
      I can also give you dimensions if you need them. I want to help! This is not beyond you. Again, be patient. Sometimes our brains just need time to adjust to new ideas- I know my brain did!

    • @whoDatBeDare
      @whoDatBeDare 5 ปีที่แล้ว +1

      @@pocket83 if the offer still stands to get dimensions I'd interested in comparing them with my sketchup work. no prob if not.

  • @JF0913
    @JF0913 6 ปีที่แล้ว

    This is my favorite star of all.... Somewhere along the way I can't get my 18 degree blocks lined up properly. I think I'm going to fabricate a new sled maybe it's a bit big for this project. Any thoughts on this?

  • @israelclaretisoares5522
    @israelclaretisoares5522 4 ปีที่แล้ว

    Parabéns pelo seu trabalho, e pela aula de matemática nós cálculos de ângulos.

  • @fiberinspector1304
    @fiberinspector1304 9 ปีที่แล้ว

    great vid, 1. what is the distance on your jig of the following=
    top kerf to edge of board (assumed equal on both sides
    bottom kerf to 18 degree cut corner
    length of board that has 18 degree cut on bottom
    I built a jig and used your math but I missed it somewhere because I now have a jig to make great 6 pointed stars not 5 pointed stars.

    • @pocket83
      @pocket83  9 ปีที่แล้ว +1

      fiberinspector Side edge: 3" from kerf. Edge along kerf: 9.234".This is discussed at 5:25, let me know if you still don't figure it out.

    • @fiberinspector1304
      @fiberinspector1304 9 ปีที่แล้ว

      pocket83 went back and rechecked all measurment, got it right this time, as to the clamps I put a stop with a small board at the 9.234 point to stop the piece being cut from moving, this way all pieces are cut to the same length and will not slip when being cut. Thanks again for the jig!

    • @whoDatBeDare
      @whoDatBeDare 6 ปีที่แล้ว

      @@fiberinspector1304 I see this is 3 years old but any chance of a pic showing the "stop with a small board at the 9.234 point"?

    • @fiberinspector1304
      @fiberinspector1304 5 ปีที่แล้ว

      @@whoDatBeDare no, but it is just a piece of wood that allows the board to be placed at the same spot every time you make a cut for that Angle.

  • @Bronzejakob
    @Bronzejakob 10 ปีที่แล้ว

    all that work only for making a star?

    • @whoDatBeDare
      @whoDatBeDare 6 ปีที่แล้ว

      A perfectly beautiful impossible to make star solved by a genteel genius!

  • @romeowhiskey1146
    @romeowhiskey1146 6 ปีที่แล้ว

    Isn't there an APP for that?

  • @mandibulin73
    @mandibulin73 9 ปีที่แล้ว

    Thanks for share your knowledge ! God bless you !

  • @zeratul575
    @zeratul575 11 ปีที่แล้ว

    so where did you learn the math? because honestly i have met too many ppl who judge me based on whether i memorised my 12x12 times table grid