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Using Curve from Law tool to draw involutes, fibonacci, and other spirals
January 04, 2018, 10:04:11 AM
Does anyone know how to use the Curve from Law tool to draw involutes and fibonacci spirals? I know I can use the helix tool and assign a height of zero, but I would like to use the Curve from Law tool.

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Brian Yates
TCPro plat v18.2
TCPro plat 2016
Windows 10
GeForce GTX 950

January 04, 2018, 12:36:45 PM
These work for me:

Involute:
X=a*(cos(u)+u*sin(u))
Y=a*(sin(u)-u*cos(u))
Z=0

Logarithmic Spiral:
X=a*exp(b*u)*cos(u)
Y=a*exp(b*u)*sin(u)
Z=0

a and b are constants of your choice. If I'm reading the WIKi correctly, the Fibonacci spiral is special case of the logarithmic spiral in which b = 0.306. In all cases, u is the angle of revolution of the radius vector in radians.

Henry H

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January 04, 2018, 01:27:50 PM
Thanks. I'll give these a try.

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Brian Yates
TCPro plat v18.2
TCPro plat 2016
Windows 10
GeForce GTX 950

January 04, 2018, 11:09:58 PM

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Nikki
TC20 platinum
TC 2015 platinum
TC 2017 with lightworks

January 05, 2018, 04:28:44 AM
Do you have a link to Henry's article? I would love to read it.

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Brian Yates
TCPro plat v18.2
TCPro plat 2016
Windows 10
GeForce GTX 950

January 05, 2018, 04:35:04 AM
Not sure if this is the right one but it covers the surface law tool,  tips,  if you look down the posts in the tips section of the forum for Henry, there is also good one he did rregarding springs,

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January 05, 2018, 08:19:39 AM
I have not written an article specifically about the Curve from Law tool, but it is described briefly in "Introduction to the TurboCAD Warp Entity Tool."

Henry H

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