"and we'll pretend it's nothing" and yet there's critical math involved.... LOVE THIS!!! freakin' brilliant. -Got a HUGE project? break it down to individual units and ask yourself "Is this achievable?" Your persistence and ability to improvise with what is available is inspiring. THANK YOU.
That was so practical, and clear. Thanks for the great example, I can see how this method could be applied to many other shapes even more complex than a dome.
The Parthenon was built based on a drawing using scale translations or something. I don't remember the exact details, but the Parthenon is one of the highest precision buildings of the ancient world, and rivals what we can do today with stone in accuracy.
would it be possible to have a structural demonstration of the polystyrene/cement blocks? i'd love to have a better understanding of how tough they are!
You can take the small diameter and put over the larger one. Then set that equal to x/30, this gives you a equation since the pieces should be proportional to the diameters of the cross section you get the same answer. So 480 and 30 are the denominator and 465 numerator, pretty much if you think about it you connect the small with the larger diameter witha line you get a wide trapizoid. The bricks bases are smaller versions of the larger trapazoid bases so just scale down the base ratio you get the length of the smaller ends.
Thanks for the details. So often I want to ask you questions about your thought process during a project, but also recognize doing so is not conducive to your desired achievement level.
Thank you Jaime. Been waiting for it. I thought you did it with equations but you wet graphically like the Greeks. You also gave the piece some curvature.
I was not good at math. SO, a ship's mast centered with intended height of dome marked & attachment ring affixed . . . . attach strings to ring & pull out to current dome's position to 'mark' individual cardboard pieces as templates for the next set of cement/composition sections. This would give you the angles needed for the trapezoids.
This was the best explanation... You are a teacher Jamie. I have had people (bosses) try to explain much simpler things to me in such complicated ways that I thought they didn't know what they were talking about.. Hahaha thank you man.. I seriously would love to work with you... Be your helper for a while.... I think we would have a great time. Thanks again. Rolfie
Working with mm (and sometimes fractions of mm) in furniture design and construction I find this approach both satisfying for its simplicity and chilling for its inaccuracy. Since the plates are straight and not curved there is no need for introducing the height of them as parabolic curves, the math to calculate the top width is simple enough, and for inaccuracy he just make them a little too large and cut off the final piece so it fits. Brilliant. However, for improved accuracy I'm not sure if I'd used a carpenters right angel with quite course measurements. Possibly his real drawings where done more carefully, but he could also have used a simple CAD program like SketchUp or Fusion360 (the tools exists so why not use them), and accurate measurements of each circle's diameter would have popped out. But all in all, Jamie is a super teacher ... so thx for the video.
Way cool man, I wish there were math problems like this when I was in school. Everything was so abstract and boring. Also, your kids are good at drawing horses/unicorns!
Your mechanism for "hanging" them at the right angle is clever, but did you precisely set the angle to install each panel at or was it by eye? How do you even measure the angle on such large, hard to reach parts?
I tend to go with triangles, when I have to lay out a dome structure, only because it's easier in my field (steel fabrication) to cut parts on plate metals, and fit them together like puzzle pieces, when you're by yourself, on a scaffold.
Thank you for the explanation. The math is really simple. It is being able to visualize it in your mind in 3d that is the tricky part. If you use diamter instead of circumference, you would get less than optimal results.
Ever thought about mocking things up like this in fusion 360? I’m usually need things much more tangible when making designing stuff as it helps me feel much more organized, but fusion is easy and free and the preciseness of it helps me make better sense of things at times.
Did you perform these calculations for two sets of diameters, representing inside and outside faces of the panels, and then use the small difference to set the draft angle of your forms? Ideally, each panel would be a trapezoid in both plan and section, correct? Or did you just form the edges at 90 degrees and use your grout to fill the small wedges?
I used to make cabinets for a contractor in LA. Your drawings remind me of the drawings he would give me at times. Luckily he was an artist so the drawings were good enough. Otherwise the drawings were from autocad.
Maybe I missed it, but why did you decide to reset the base of each row at 30 inches? When you built your smaller fiberglass huts you made forms that looked like long 'banana peel slices' where the fat ends were the base, and the skinny point was the top of the dome. Would this method of making essentially 1 row of long banana peels going around for the dome been too heavy?
Interesting. I'm surprised you didn't specify the number of pieces in each row so that you wouldn't have a fractional piece at the end (is there a reason I'm not thinking of?). Like, in your example, just pick 50 on that first row because it will be "near" the 30" target you set for yourself. And then, no, they won't be 30" wide. And then the next row's bottom won't be the same width as the 1st row (but I'd offset them in a brick pattern so that wouldn't be obvious). I guess my suggestion doesn't allow for clean lines
Right, I was thinking the same thing, get top and bottom lengths from the sides of a polygon at that height, do the trig to get the height of each panel. Standard base width and height is so much easier though. Only drawback is having places where vertical seams are lined up? Or maybe he cut half panels to bridge over that? I'd like to see a catenary shell done the same way, start with a hanging chain and base all the calculations off that.
I would guess it was to make the moulds easier to make. If you start off with 4 pieces of wood 30" long to make the wall panels, you just keep cutting one of those pieces shorter for each level of roof. Otherwise you've got to make whole new moulds from scratch each time. I think it would save a lot of time that way.
It's totally sweet you calculated it but it could have been done with string and a tape measure or really just string .. Again I think doing the math is extra awesome 👍 just saying if a person can't math or doesn't want to there are other ways to get the structure geometry right with less math as long as stress load can be accounted for which is probably something jerks are trying to meme right now... Good work Jamie.
I would not only rely my math on "manualy" measured values like this. You can find the new diameters with math only. As the dome is a half circle, you know the entire circumference/2, but we need the new "tile" height, as the tiles are tilted.
How do you find the intersections along the height of the dome, though? The "latitude lines," where they intersect the circle? I can see it's a series of right triangles, but going from equal segments marked off along the circle, to the interior angles, I'm not sure where to start. Right triangles, I mean from any given intersection point, down to the left and right ends of the base of the dome's half-circle, the first diameter that he drew.
Thanks. I have been looking for this for eternity.
"and we'll pretend it's nothing" and yet there's critical math involved.... LOVE THIS!!! freakin' brilliant. -Got a HUGE project? break it down to individual units and ask yourself "Is this achievable?" Your persistence and ability to improvise with what is available is inspiring.
THANK YOU.
That was so practical, and clear. Thanks for the great example, I can see how this method could be applied to many other shapes even more complex than a dome.
The Parthenon was built based on a drawing using scale translations or something. I don't remember the exact details, but the Parthenon is one of the highest precision buildings of the ancient world, and rivals what we can do today with stone in accuracy.
would it be possible to have a structural demonstration of the polystyrene/cement blocks? i'd love to have a better understanding of how tough they are!
He has a few video's on UA-cam about how - informative.
You can take the small diameter and put over the larger one. Then set that equal to x/30, this gives you a equation since the pieces should be proportional to the diameters of the cross section you get the same answer. So 480 and 30 are the denominator and 465 numerator, pretty much if you think about it you connect the small with the larger diameter witha line you get a wide trapizoid. The bricks bases are smaller versions of the larger trapazoid bases so just scale down the base ratio you get the length of the smaller ends.
Bạn nói rất chính xác.
Jamie makes it look easy.
Thanks
Thank you Juliet! 🤗
Thanks for the details. So often I want to ask you questions about your thought process during a project, but also recognize doing so is not conducive to your desired achievement level.
Thank you Jaime. Been waiting for it. I thought you did it with equations but you wet graphically like the Greeks. You also gave the piece some curvature.
Thanks I've built 5 round cottage in the Philippines now ..Very well Done there 👍
I was not good at math. SO, a ship's mast centered with intended height of dome marked & attachment ring affixed . . . . attach strings to ring & pull out to current dome's position to 'mark' individual cardboard pieces as templates for the next set of cement/composition sections. This would give you the angles needed for the trapezoids.
ahhhhhhh so nice to see those pipes geod. re enforcing it from the inside.....bravo J'
This was the best explanation... You are a teacher Jamie. I have had people (bosses) try to explain much simpler things to me in such complicated ways that I thought they didn't know what they were talking about.. Hahaha thank you man.. I seriously would love to work with you... Be your helper for a while.... I think we would have a great time. Thanks again. Rolfie
I love math! It was fun trying to stay one step ahead of you as your worked through the calculations :P
Working with mm (and sometimes fractions of mm) in furniture design and construction I find this approach both satisfying for its simplicity and chilling for its inaccuracy. Since the plates are straight and not curved there is no need for introducing the height of them as parabolic curves, the math to calculate the top width is simple enough, and for inaccuracy he just make them a little too large and cut off the final piece so it fits. Brilliant. However, for improved accuracy I'm not sure if I'd used a carpenters right angel with quite course measurements. Possibly his real drawings where done more carefully, but he could also have used a simple CAD program like SketchUp or Fusion360 (the tools exists so why not use them), and accurate measurements of each circle's diameter would have popped out. But all in all, Jamie is a super teacher ... so thx for the video.
This answered all my questions.
Way cool man, I wish there were math problems like this when I was in school. Everything was so abstract and boring.
Also, your kids are good at drawing horses/unicorns!
Yes! To all of this... especially the last part. 😉 😍 -Dashaina
Thanks Jamie, so much easier to understand/relate the math to real construction. Thanks
Thanks for answering this for me..
thank you so much for this video.
Your mechanism for "hanging" them at the right angle is clever, but did you precisely set the angle to install each panel at or was it by eye? How do you even measure the angle on such large, hard to reach parts?
I'll ask him on the Sunday Live. 😊 -Dashaina ✨
I tend to go with triangles, when I have to lay out a dome structure, only because it's easier in my field (steel fabrication) to cut parts on plate metals, and fit them together like puzzle pieces, when you're by yourself, on a scaffold.
Another great video 👍
Thank you for the explanation. The math is really simple. It is being able to visualize it in your mind in 3d that is the tricky part. If you use diamter instead of circumference, you would get less than optimal results.
That was cool.
Ever thought about mocking things up like this in fusion 360? I’m usually need things much more tangible when making designing stuff as it helps me feel much more organized, but fusion is easy and free and the preciseness of it helps me make better sense of things at times.
Very good content here.
Hi jaimie ,can you please suggest for the surface area of that dome.
Hope you will suggest shortly.
Thanks
Probably to late - Dome Spherical Surface Area in Square Feet (2πrh) - 2pi x 20 x 15 = 1885 sqft
Did you perform these calculations for two sets of diameters, representing inside and outside faces of the panels, and then use the small difference to set the draft angle of your forms? Ideally, each panel would be a trapezoid in both plan and section, correct? Or did you just form the edges at 90 degrees and use your grout to fill the small wedges?
I used to make cabinets for a contractor in LA. Your drawings remind me of the drawings he would give me at times. Luckily he was an artist so the drawings were good enough. Otherwise the drawings were from autocad.
I love this. I love maths. I now want to build a dome - maybe not out of concrete though. 😀
I told Jaimie this comment and about the other one you left answering about the speculation on why. Made his day! 😍🤗 -Dashaina
Feels good being a member... Thanks for the video J....
@@dav1dsm1th 🤪did not notice I spelled feel wrong... thanks for the correction...
Maybe I missed it, but why did you decide to reset the base of each row at 30 inches? When you built your smaller fiberglass huts you made forms that looked like long 'banana peel slices' where the fat ends were the base, and the skinny point was the top of the dome. Would this method of making essentially 1 row of long banana peels going around for the dome been too heavy?
Thank you for that
I was at first confused why 30 units was shared between layers... but of course it's because you're using forms. Thank you for the math noodles.
Interesting. I'm surprised you didn't specify the number of pieces in each row so that you wouldn't have a fractional piece at the end (is there a reason I'm not thinking of?). Like, in your example, just pick 50 on that first row because it will be "near" the 30" target you set for yourself. And then, no, they won't be 30" wide. And then the next row's bottom won't be the same width as the 1st row (but I'd offset them in a brick pattern so that wouldn't be obvious). I guess my suggestion doesn't allow for clean lines
Right, I was thinking the same thing, get top and bottom lengths from the sides of a polygon at that height, do the trig to get the height of each panel. Standard base width and height is so much easier though. Only drawback is having places where vertical seams are lined up? Or maybe he cut half panels to bridge over that? I'd like to see a catenary shell done the same way, start with a hanging chain and base all the calculations off that.
I would guess it was to make the moulds easier to make. If you start off with 4 pieces of wood 30" long to make the wall panels, you just keep cutting one of those pieces shorter for each level of roof. Otherwise you've got to make whole new moulds from scratch each time. I think it would save a lot of time that way.
Agora sim entendo os seus calculos hugs.
Yessss!
How much for da dome ?
👍🏻👍🏻👍🏻
Noodle units.
👍
😇
💖💖💖🤘
It's totally sweet you calculated it but it could have been done with string and a tape measure or really just string .. Again I think doing the math is extra awesome 👍 just saying if a person can't math or doesn't want to there are other ways to get the structure geometry right with less math as long as stress load can be accounted for which is probably something jerks are trying to meme right now... Good work Jamie.
مع اني مافهمة شي لاكن في اشارت تدل على تمكنك من العمل🎉
I would not only rely my math on "manualy" measured values like this. You can find the new diameters with math only. As the dome is a half circle, you know the entire circumference/2, but we need the new "tile" height, as the tiles are tilted.
the bigger the paper the more accurate.
aircraft, cathedrals, bridges; they had some real big paper back then
How do you find the intersections along the height of the dome, though? The "latitude lines," where they intersect the circle? I can see it's a series of right triangles, but going from equal segments marked off along the circle, to the interior angles, I'm not sure where to start. Right triangles, I mean from any given intersection point, down to the left and right ends of the base of the dome's half-circle, the first diameter that he drew.
@@idjtoal all the dome panels are the same length he's just made an arch of blocks and projected it in a circle.
I identify as an Imperial Noodleist.
You ARE an imperial noodleist. 😂
there was a much easier way just using ratios.....
👍