# Simple example of a parametric point cloud

Here’s a simple parametric point cloud that shows the two techniques for using arrays instead of Repeats that I blogged about earlier:

I used this set of parametric equations to get a cylinder point cloud:

x = sin(u)
y = cos(u)
z = v

where

0 <= u <= 2*PI
-2 <= v <= 2

For this exercise, I simply used Build Interpolated Array to build arrays of U and V values, but I probably should use something like the XYZ_Grid_Generator technique described by Daniel Brassard on si-community. Here’s a version of the ICE tree with some Show Values. I use the Modulo technique to build an array of the XY values for all points in the cloud. Then I use the Divide by Scalar technique (the integer result is truncated) to build an array of the Z values. Finally, I add XY vectors to the Z vectors to get the final point positions. ## 2 thoughts on “Simple example of a parametric point cloud”

1. Daniel Brassard on said:

Thank you Stephen. You provide a lot of information in a better format than The Area. Your blog is one of my daily stop, informative and entertaining! Keep up the good work. It’s very much appreciated!