algorithmic modeling for Rhino
Hi there, I was wondering if I could get some help with this.
I have the parametric formula of a clothoid:
{ Integrate[ Sin[(x^2)/2], {x,0,t}],Integrate
[Cos[(x^2)/2], {x,0,t}] }
or an eural loop (see image attached)
but I'm not able to write either of them well in the function/expression component of grasshopper, and cant get something to draw it! Any thoughts?? Thanks in advance for any help on this
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hi andrew
you have to write a routine to perform the integral .search for quadrature on google.
basically the integral is converted to a sum of terms so you need to write a small script
gerry
Gerry thanks for taking the time to reply. It's been helpfull, but I have no experience on scripting, and terrible in maths! do you have an example I can see just to learn quicker??
Hi,
I thing you should check Mårten Nettelbladt's blog for inspiration on clothoids: http://thegeometryofbending.blogspot.se/
Not only Julijonas Urbonas' Euthanasia Coaster, but all modern looping roller coasters use the clothoid shape for a pleasant thrill.
What are you going to use the clothoid for?
The blog looks awesome. I'm doing some research on highways and need to figure out a way to parametrically control the clothoids used in highways.
wow that does the trick, it looks amazing and clever
Thank you Ola!
Apparently I have this from 2009 (I updated a couple of components so it works on the latest release). I have no idea from where I got the code for the fresnel integral, I don't know who to credit.
I probably got it from here: http://www.alglib.net
It says Copyright 1984, 1987, 1989, 2000 by Stephen L. Moshier
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