linear sequence within domain

I am trying to make a sequence of numbers (points) that would escalade linearly until reaching certain value (domain). I have done the sequence in an exponential manner, but I got stuck with this relatively simple task.

Any suggestions?

Summing up, with my exponential definition (rhino image attached) I get my last 5 numbers/points equaly spaced! And I would like the gaps to gradually increase in a linear scaling.

rhino%20image.JPG

Attachments:

grasshopper image.JPG, 67 KB

Replies to This Discussion

Permalink Reply by David Rutten on September 20, 2013 at 4:39am

Is it supposed to be linear or exponential? Or is it a square-root progression as your image seems to indicate?

Shouldn't the [Bounds] component inherit from the [Square Root] component rather than the unprocessed values in [Series]?

David Rutten

david@mcneel.com

Tirol, Austria

Permalink Reply by Dario Vidal on September 20, 2013 at 5:16am

I thought that a so called square-root progression has an exponential growth, isn't it so?

Indeed, now I realize that I had the [Bounds] component getting data from the [Series] instead of [Square Root].

I still get the same result though, there is clearly something I'm missing. The 4-5 last 'gaps' have the same distance, and that is not what I am looking for. I am looking for an upscaling progression from a minimum value to a maximum value, each step increasing a little more than the previous one. Any comments?

Thanks,

Permalink Reply by Dario Vidal on September 20, 2013 at 5:28am

I am getting closer:

I used the [Fibonacci] component to create the sequence, and now each 'gap' has a different value, which is what I need. The problem is that those values are scaling exponentially (if I got my terms correctly) and I am looking for a linear scaling sequence.

Permalink Reply by David Rutten on September 20, 2013 at 8:47am

Exponential means the variable is in the exponent of the equation, not in the base. I.e.

x² (which is the same as squaring)

x³ (which is the same as cubing)

x^0.5 (which is the same as square root)

Are examples of power functions with x in the base, whereas:

2^x

3^x

0.5^x

Are examples of exponential growth where x is in the exponent.

I can't repeat your problem though, the distances are all different in my file:

David Rutten

david@mcneel.com

Tirol, Austria

Permalink Reply by Dario Vidal on September 23, 2013 at 12:28am

I understand what you are explaning to me, and I appreciate it.

I have an exponential and linear sequences. The linear growth is achieved in this case with a [Series] component, whereas the exponential growth is achieved by the square of a series of numbers (image attached). These concepts are right to me, let me know if I got them wrong.