topic Re: How to model Hyperbolic Funnel (a.k.a. vortex funnel or wishing well) ? in Fusion Design, Validate & Document Forum

How to model Hyperbolic Funnel (a.k.a. vortex funnel or wishing well) ?

bizilux — Fri, 30 Aug 2019 17:47:25 GMT

Hey all,

Long story short: Im making 3d printed marble machine and i want to create a Hyperbolic Funnel, like this:

i've come this far, but i have no idea how to get it to hyperbolic shape?

i know i should be using conic curve right? but theres so little documentation on it that im kind of lost

there is a great website which goes into math behind the shape here: https://www.spiralwishingwells.com/guide/physics.html but im not smart enough to copy that into 3d model 😄

also i have no idea how im going to 3d print this baby... but thats a problem for future me i suppose

thanks for any help!

Re: How to model Hyperbolic Funnel (a.k.a. vortex funnel or wishing well) ?

bizilux — Fri, 30 Aug 2019 18:11:54 GMT

okay i figured out how im going to 3d print this... but i still need to figure out how to do a proper hyperbolic curve 🙂

thats how its going to be 3d printed so i will not need supports:

Re: How to model Hyperbolic Funnel (a.k.a. vortex funnel or wishing well) ?

helibum — Fri, 30 Aug 2019 19:42:11 GMT

Are you lookng for a way to generate the curve mathematically, or is a visual approach sufficient? The way I'd do it is create a sketch, draw the curve you want, and then rotate it around a central axis to generate the 3D shape. If you want to generate it mathematically, a graphing app that can output DXF files would work the curve to be imported as a sketch.

Re: How to model Hyperbolic Funnel (a.k.a. vortex funnel or wishing well) ?

bizilux — Fri, 30 Aug 2019 20:06:11 GMT

i already did the visual approach as you can see in the screenshots... i was just hoping that there is some easy way to make hyperbolic shape that im after...

yes graphing app is what i need i suppose... i tried putting that formula (y=-1/x) inside the graph calculator (https://www.desmos.com/calculator ) and yes, it returns hyperbolic funnel shape... too bad there isnt an easy way to do that inside fusion 360 https://www.desmos.com/calculator

i suppose i will just have to manually try to get the shape as close as i can. I will import image of the funnel into fusion 360 and hopefully i can recreate the shape in sketch

Re: How to model Hyperbolic Funnel (a.k.a. vortex funnel or wishing well) ?

bizilux — Fri, 30 Aug 2019 20:12:13 GMT

okay i recreated the shape as closely as i could from the reference picture. I would say thats good enough. I will need to see how marbles roll on it once its 3d printed, but im quite confident that it will work nicely.

Re: How to model Hyperbolic Funnel (a.k.a. vortex funnel or wishing well) ?

etfrench — Sat, 31 Aug 2019 08:13:58 GMT

There is (or perhaps was) an add-in to import .csv files as splines in the App Store.

Re: How to model Hyperbolic Funnel (a.k.a. vortex funnel or wishing well) ?

chrisplyler — Sun, 01 Sep 2019 15:48:04 GMT

https://knowledge.autodesk.com/community/screencast/d9de78b0-dae9-4120-b74b-058d05ad6349

Re: How to model Hyperbolic Funnel (a.k.a. vortex funnel or wishing well) ?

vvrindavani — Sat, 14 Feb 2026 17:50:34 GMT

Hey, I know its been quite some time since you asked this question. I was making the exact same stuff. and I think this formula below worked quite well for me. also put it in desmos calculator (https://www.desmos.com/calculator) worked fine.

r(h)=h^4

r= radius

h = height

r(h) = radius at hieght h

meaning, at any given point, radius equals height raised to power 4.
for eg, at h=1 r=1 ; h=0.5 r=0.8409 ; h=0 r=0.

Worked for me, but I can not say it is the best one out there.
If you think this is wrong, please tell how to correct it so i can know where i went wrong as well.

Re: How to model Hyperbolic Funnel (a.k.a. vortex funnel or wishing well) ?

TheCADWhisperer — Sat, 14 Feb 2026 17:52:58 GMT

@vvrindavani

Can you File>Export your *.f3d file to your local drive and then Attach it here to a Reply?