top of page
Search

018 – Mathematical expressions in Grasshopper

Mathematical Expressions

We can solve mathematical formulas and output numerical data by using an expression component. In this example, we will create a saddle surface which is a mathematical surface using the expression component.


Steps:

Step 1: First you will need x,y,z coordinates to create a surface. We can use the 'grid' component to create a grid of points.


Step 2: From the grid we use the 'deconstruct points' component to extract the

x,y,z coordinates.


Step 3: Now we need to use the 'expression' component. The simple Cartesian equation for the saddle surface is z=x(x^2-3y^2). But for simplicity we will write it as z=x^3-3*x*y^2.


Note: The input variables should be the same as in the formula. In this case, x and y.


Step 4: Now using the new z variable from the formula, we can create the new point set with the 'construct point' component.


Note: Since we are dealing with a large number derived from the formula, we need to use the 'divide' component to make z smaller.


And this is the result:


Learn more

Read our previous blog post or sign up to our platform here to put your Grasshopper models online and share them.

1 view

Recent Posts

See All
bottom of page