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Fusion 360 Loft: The Golden Ratio! FF79
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- Опубликовано: 19 авг 2024
- Using sketch formulas, construction boxes and the Loft Command to make a Golden Part in Fusion 360!
The Golden Ratio: amzn.to/2pBe8Eg
Fusion 360 CAD: bit.ly/2p234wO 5 Reasons to Use a Fixture Plate on Your CNC Machine: bit.ly/3sNA4uH
THANK YOU SO MUCH!
Metalworkers like me have been looking everywhere for this Fusion 360 construction method; you are the ONLY ONE I have found after searching a l-o-n-g time! Much appreciated!
This video and the concept you brought up here saved me infinity hours on the design of horns. Plane along path, mind blown.
As a woodworker I incorporate the golden rule in everything, it just makes things more pleasing.
Very cool. Can't wait to see it machined!
Thank you for this! I've been looking for a way to design some blacksmith projects in Fusion 360. This makes scroll work a breeze!
Nice excursion... and nice to know what you are interested in and that your hunger for knowledge is still strong and still growing. Thanks for sharing the book tip! ;)
I've always been intrigued by all the places that the Golden Ratio shows up. Thanks for posting! As stated already, what you drew is a Fibonacci Spiral, and not really the Golden Spiral. If you want Golden Spiral is almost easier - Only 1 dimension, and no equations! :P If you're interested I have it drawn up on Fusion360 and can share. As an added bonus, instead of a square I used a golden rectangle, that grows by the ratio from start to the end.
Very nice and simple tutorial! Thank you!
Hey John, try right mouse click and the option on the top OR right mouse hold with a swype to the top for the same action instead of searching ;)
For machining: simple plate, square sides, machine first side with tabs on the part, flip, second side, cut the tabs by hand and file it flush
This was very helpful for modelling a scroll for a violin
Great vid even if old. BTW youve never had to type the ref parameter eg d1, you simply open the field and then click the ref parameter
Appreciate a simple graphic parametric
so i think what you have here is technically a Fibonacci spiral and not a golden spiral. In any case, very cool. Thanks for sharing.
good video
Very Cool. I am a person that likes Symmetry, so this is very interesting to me. Thanks
The Fibonacci spiral is only an approximation of an approximation. Why not use the math available in Fusion360 to create a true golden spiral?
I would love to know how to create a true golden spiral in Fusion. I think I've seen one video where someone exports a bunch of points from Excel, but is there a demonstration where someone puts the formula directly into Fusion?
can you write the math example he should use? F360 can't handle √ in the equations like d1 (1+√5)/2
Try d1*(1+5^.5)/2 (I just tried it; it works.)
Exponentiating by 0.5 gives the square root.
That just gives you the numerical value of the golden ratio. You might as well just type in "d1*1.618". What I was wondering is how you enter a formula which then defines a path. Is that possible in Fusion?
Yes, using golden rectangles is still only an approximation of a true golden spiral.
Very nice. Thank you!
I think if you right click the sketch in the tree, you can hide dimensions.
Machine it with tabs if ornamental ...... or flip it in negative soft jaws . Looking forward to seeing it done .
Wow that sweep feature is quite fast.
Hi John,
In order to draw a golden spiral your squares need to grow by phi:1 ratio. Your spiral is using squares of variable ratio that approximate phi with each step (2,1.5,1.66,1.6). It's close, but it's not golden :)
You cannot practically draw a golden spiral with squares only as they grow smaller to infinity. What you can do is start with a golden rectangle (1:phi side ratio) and then build around this with squares, starting by using the long side of the golden rectangle as the first square's side. This way each new square will have sides phi bigger than the previous.
auhopu
It's close enough for government work.
John's spiral is to the golden spiral what the Fibonacci sequence is to phi. An approximation that reaches phi in infinity. In theory a Fibonacci spiral is a golden spiral if you use infinite squares. In practice (with a naked eye) it should probably look very close to the golden spiral after 8 ratios (10 squares). The more you use the better.
Here using only the 4 first ratios out of the Fibonacci sequence makes this approximation... um... rough.
I can't wait for this Wednesday widget! I've got to machine a similar part (brake levers for a moped) on our tormach and not sure how to go about the second side. Guessing it'll involve soft jaws.
Interesting, however ...
this simple approximation will have abrupt changes in radii at the tangent points. Also the cross section change from start to finish will be a uniform change rate and not a golden ratio rate of change. Skin it with zebra stripes and take a look. spline?
neat!
cool
Brilliant!
Thanks
I tried to make a Nautilus shell in Fusion360 the other day. I quickly found out 'the golden ratio' is not the same as a 'logarithmic spiral'. When people talk about the golden ratio in nature it's usually a logarithmic spirals that's mislabeled as the golden ratio.
If you want a challenge try making a logarithmic spiral in fusion360, it's trivial to do a polar plot of it but doing it in Fusion is a bit more difficult. I figured it out after a while but much more difficult than the golden ratio.
John,
Nice video. I think it's also known as the Fibonacci spiral.
great video, thank you. Did you know that paper sizes follow a similar pattern? i think it goes something like a0 is one square meter in area but is golden rectangle shaped and then each size is folded in half, so a1 is half as big, a2 is half as big again etc.
Wow... I wasn't aware of that... but it actually makes sense to me... especially because I always was wondering about some odd decimal dimensions.
But now... because of you Phil... my world makes a little more sense again. ;) Thank you for that!
That's the right idea but the ratio is sqrt(2).
Only applies to European paper sizes [Aspect ratio is sqrt(2)]. The American paper sizing system does nothing to maintain aspect between sizes.
Mark Loit European? or international? it's just another example of US units being the odd one out. 😁
LOL... Both are used by multiple countries, so both are technically international. I said European, as the A paper sizing originated in Europe [Germany I believe]
That trick with the "loft"(?) was worth the price of admission. (I forgot; the admission was free. It's worth a lot more than the price of admission.)
I just wish there was an easy way to construct a golden spiral that was continuously varying, rather than a series of circular arcs (Fibonacci spiral). Still, the arc-formed spiral is beautiful, especially with the tapered cross-section. (And no guess whatsoever as to how to hold it for the second operation short of a complicated set of soft jaws.)
1.168 is in everything from cars to plants same with 3,4,5
My house was designed with the Golden Ratio in mind. It was used for window sizes, location of moldings, wall/room dimensions, etc. It wasn't always possible/practical, but where we could, we used it.
looking forward to that being machined
Had no idea about d-values. thanks!
Geof Dumas you can rename those d values in the change parameters dialog as well. in Inventor you can name them on the fly
NYC CNC wouldn't it have been easier to use "d1" "d1*2" "d1*3" etc. ? you still only have one variable, and it will still work the same
To make the part?
Option 1: 4th axis tombstone and/or Mini Lang vice setup with a potential '0' Op, if prep is needed. (shouldn't have to, small part) Hold by jaws for 1 Op, machine all around leave tabs around the outside part wall as needed.
Option 2: is basically the same idea, but instead of the 4th axis, you do the same thing but use a vice. The 4th Axis idea leaves the outside stock walls rough (or possibly non existent) , but with this one you machine them to grip in the vice for Op2. OP1 is to machine the surfaces only and skim the stock walls, Op2 is flip and locate the X edge of skimmed stock wall then machine the surfaces then the part walls, leaving tabs.
Option 3: Custom fixture on a Plate. Op1, hold in vice, thin grip. Machine everything leaving 6th side. Op2, bolt down to fixture. Gripping the part walls to the fixture walls with something like Mitee-Bite clamps could do. Then the second Op is just a Facing and a Surfacing path. This can be rather efficient when doing a bunch of these, and no Tabs to deburr. Four at once should be possible.
Option 4: Vice and profile matching Soft Jaws, Op1 is the same as in Option 3. Op2 is hold in Soft Jaws. This may be weak and might be pressing the part on itself. But if it holds, it is probably the fastest, and still cleanest to deburr.
Option 5: 3D print the damn thing, and go to bed. ;P
Option 6? Wish it into existence?
edit: numbers.
gredangeo
Can be done in 2 ops with a 3 axis mill.
You're over thinking it because it's angular. But you have still have vertical sides that are parallel.
Yeah, two ops would work most likely. Option 2 or 4 would be best.
You flip it using negative soft jaws.
Why don't you use Inventor?
this is not following the golden proportion. In this graph the ratio between length and height equal 1.5. Golden proportion the ratio between length and height is equal 1.618.......It looks similar. Any way I love it.
The second square for the loft should have been 0.40450849718 x 0.40450849718 don't you think?
Does Fusion 360 have any scripting ability? Seems like doing the formula for the sketch would be cool.
Chris Brent yeah it does. Python, JavaScript or C++
The is the bar we are drinking at tonight?
it even used in fusion reactors see sorlox.com
Leonardo Da Vinci did it before without CNC
ARGROAS 1 after he learned it from Fibonacci...
machine it with the tabs so flipping shoud not be a biggie
wen you want the same tool to work, you click S and select , so why you not hold right mouse button and drag up....this bring back the last tools....you aldready know and you dont like or what ?
I thought it might be a good idea to post the Fusion 360 Forum thread that shows some of the pitfalls you encountered when making this tutorial and solutions to those pitfalls. forums.autodesk.com/t5/design-validate-document/loft-along-a-curve-broken-curve/m-p/6995720#M106408