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

[bizilux]

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!

[bizilux]

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:

[helibum]

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.

[bizilux]

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

[bizilux · Accepted solution]

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.

[etfrench]

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

[chrisplyler]

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