plane

What would be the best algorithm to generate a list of vertices to draw a plane using triangle strips? I'm looking for a function which receives the plane's width and height and returns a float array containing correctly indexed vertices. width represents the number of vertices per row. height represents the number of vertices per column. float* getVertices( int width, int height ) { ... } void render() { glEnableClientState(GL_VERTEX_ARRAY); glVertexPointer(3, GL_FLOAT, 0, getVertices(width,heigth)); glDrawArrays(GL_TRIANGLE_STRIP, 0, width*height); glDisableClientState(GL_VERTEX_ARRAY); }

I m trying to plot simultaneously a plane and some points in 3D with Matplotlib. I have no errors just the point will not appear. I can plot at different times some points and planes but never at same time. The part of the code looks like : import numpy as np import matplotlib.pyplot as plt from mpl_toolkits.mplot3d import Axes3D point = np.array([1, 2, 3]) normal = np.array([1, 1, 2]) point2 = np.array([10, 50, 50]) # a plane is a*x+b*y+c*z+d=0 # [a,b,c] is the normal. Thus, we have to calculate # d and we're set d = -point.dot(normal) # create x,y xx, yy = np.meshgrid(range(10), range(10)) #

How can I find the line of intersection between two planes? I know the mathematics idea, and I did the cross product between the the planes normal vectors but how to get the line from the resulted vector programmatically Adding this answer for completeness, since at time of writing, none of the answers here contain a working code-example which directly addresses the question. Though other answers here already covered the principles . Finding the line between two planes can be calculated using a simplified version of the 3-plane intersection algorithm. The 2'nd, "more robust method" from

Let A be a point for which I have the 3D coordinates x, y, z and I want to transform them into 2D coordinates: x, y. The projection shall be orthogonal on a plane defined by a given normal. The trivial case, where the normal is actually one of the axes, it's easy to solve, simply eliminating a coordinate, but how about the other cases, which are more likely to happen? ja72 If you have your target point P with coordinates r_P = (x,y,z) and a plane with normal n=(nx,ny,nz) you need to define an origin on the plane, as well as two orthogonal directions for x and y . For example if your origin is