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rhino:rhino_math_solver [2015/12/04] |
rhino:rhino_math_solver [2020/08/14] (current) |
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| + | ====== Using Rhino to Solve Mathematical Equations ====== | ||
| + | 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, | ||
| + | |||
| + | 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: | ||
| + | * **[[http:// | ||
| + | * **[[http:// | ||
| + | Rhino 4 contains only **RhinoScript**. | ||
| + | |||
| + | //Because of this, we recommend using RhinoScript.// | ||
| + | |||
| + | [[http:// | ||
| + | |||
| + | ===== The basics ===== | ||
| + | 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 (// | ||
| + | You also need to know the commands // | ||
| + | |||
| + | The basic steps are: | ||
| + | - Write a script function in script editor **EditScript**. | ||
| + | - Or load a an existing file with the .rvb extension into the script editor. | ||
| + | - Run the **LoadScript** command to load a script into memory. | ||
| + | - Use the **RunScript** command to run the function name. | ||
| + | Note: Dragging a .rvb file onto the Rhino window will load and run the script. | ||
| + | * From the Rhino Help menu, click Plug-ins and then click **RhinoScript**. | ||
| + | |||
| + | Also see [[http:// | ||
| + | |||
| + | ===== Examples ===== | ||
| + | |||
| + | ==== 1. Graph the following equation: y = (x - 4)^2 = 2 ==== | ||
| + | <code Solve_for_Y.rvb> | ||
| + | ' 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 | ||
| + | </ | ||
| + | |||
| + | |||
| + | ===== 2. Equation f(x) = x^2 - 5x - 14 ===== | ||
| + | Find zeros of function using these values: 2, 7, -2, -7, then print to Rhino command prompt. | ||
| + | <code Find_y_equalto_0.rvb> | ||
| + | ' 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 | ||
| + | </ | ||
| + | |||
| + | ===== 3. RhinoScript Quadratic Solver ===== | ||
| + | See [[http:// | ||
| + | |||
| + | ===== 4. Finding the Perfect Squares ===== | ||
| + | See [[http:// | ||
| + | |||
| + | |||
| + | //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.// | ||
