Divide a curve in growing segment with GH

Grasshopper
1

Hi everyone, I would like to have your help on something.
I am quite new in using math in my work on GH so I don’t know if what I want to do is even possible but I am sure it could since it is pure logic.

I would like to create a file that I could use to divide a curve into multiple growing segments, using a growing factor. Here is a formula I found to be effective :
L being total lenght of the curve
r being the growing factor
n being the number of segment
x being the lenght of the first segment

L = x + x*r + x² + … + x^n-1
On the picture you will see a basic exemple

Sans titre
Sans titre1391×537 7.03 KB

My purpose is to find a way to express this in grasshopper and be able to modify n and r

I hope I made mysefl clear, excuse me if I wasn’t. Speaking of math in english is not as easy as I thought.
Many thanks for your help ! :grinning:

3

Hello
welcome to the forum
Nothing too difficult, explore grasshopper and as you wrote the equation the idea is to
Make a series of power 0,1,2 … with Series component
Then Exponent with Exponent component
And sum with not so easy to find Mass Addition
Then division with division component !!

image
image1143×401 54.3 KB

And explore Grasshopper find some good way too learn, Grasshopper primer is a good way to understand but the best way is to dive in Grasshopper and solve the problem by yourself.

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