Is there any mechanical way of drawing a squircle without plotting the formula or drawing around another already squircular object?

Question

Is there any mechanical way of drawing a squircle without plotting the formula or drawing around another already squircular object?

Question #108748. Asked by gmackematix.

gmackematix
Answer has 4 votes

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gmackematix
22 year member
3206 replies

Answer has 4 votes.

Currently voted the best answer.

That might have worked if a squircle was actually made of straight lines and/or circular arcs, but it isn't.

A squircle around the origin is an xy graph of equation:
x^4 + y^4 = r^4:

https://en.wikipedia.org/wiki/Squircle

I was just wandering if it had any geometric properties that could be exploited like, say, an ellipse:

http://www.mathopenref.com/constellipse1.html
Or a cardioid:

http://www.cut-the-knot.org/Curriculum/Geometry/DrawCardi.shtml

Sep 12 2009, 6:02 AM

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Answer 1

star_gazer

Answer has 3 votes

star_gazer

23 year member
5236 replies avatar

Answer has 3 votes.

Use a drafting compass.

https://en.wikipedia.org/wiki/Compass_(drafting)

Sep 12 2009, 4:51 AM