Grasshopper

algorithmic modeling for Rhino

Hello all,

Quick question, but I have been looking for this answer for awhile. Say I construct a plane, how do I place a point on that plane wherever I want? Is there a way to input "x:4 y:6" or "x:-10, y:100"?

To do this I have been creating a surface and then doing things like creating a uv grid, but is there a way to skip that and just input coordinates into a plane?

Thanks!

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Replies to This Discussion

Hi.

You can use "Point Oriented" component.(Under the vector tab-->point)

Get this as well if you decide to cross the Rubicon some day in the future (it's in C#).

Anyway:

1. A point in a "local" coordinate system (plane) is :  Point3d p = pOrg + x * pX + y * pY + z * pZ; 

where pOrig is the local origin, x,y,z are the local coordinates and pX,Y,Z are the unitized axis coordinate system's vectors.

2. The classic "conversion" using matrices is (see inside C#): where x,x.z are the world coordinates, u123,v123,w123 are the local vectors x,y,z values ("along" rows) and o123 are the local origin x,y,z values.

3: Bonus: 2 challenges for the brave are (as usual) included.

best, Peter

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