Rhino is a 3-D modeling application that can solve graphically. For example, if you want to know if two curves or surfaces intersect, you can use the Intersect command. If you want to know the centroid, volume or principal moments, you can ask Rhino that, too.
You can also use Rhino to solve mathematical equations. But Rhino does not have commands like solve equation or plot graph. The standard keyboard is also a problem. Where is the square root sign, superscript, or subscript?
So, you will need to use scripting. Rhino has a script editor made specifically to help with these problems.
Rhino 5 contains two scripting languages:
Rhino 4 contains only RhinoScript.
Because of this, we recommend using RhinoScript.
To illustrate how you can use RhinoScript to solve mathematical problems, I have written two simple scripts that solve the first two questions of the math practice test.
Note, both of these solutions can be copied and pasted into the RhinoScript editor (EditScript) for testing. You also need to know the commands LoadScript and RunScript.
The basic steps are:
Note: Dragging a .rvb file onto the Rhino window will load and run the script.
Also see VB Fundamentals.
' Define range of x values xrange = Array(-4, -2, 0, 2, 4, 6, 8, 10) ' With each x value For Each x In xrange ' Solve for y y = (x-4)^2 + 2 ' Add a point at the x,y location Rhino.AddPoint Array(x, y) Next
Find zeros of function using these values: 2, 7, -2, -7, then print to Rhino command prompt.
' Define range of x values xrange = Array(2, 7, -2, -7) ' With each x value For Each x In xrange ' Solve for y, where y = f(x) y = (x^2) - (5*x) - 14 ' If y is zero, print x If y = 0 Then Rhino.Print x Next
The great thing about scripting is that it can be adapted to solve nearly any problem and in any manner chosen by the script writer.