Given a triangle with one vertex at the origin and the others at positions v_1 and v_2, one might think that a random point inside the triangle would be given by x=a_1v_1+(1-a_1)a_2v_2, (1) where A_1 and A_2 are uniform variates in the interval [0,1]. However, as can be seen in the plot above, this samples the triangle nonuniformly, concentrating points in the v_1 corner. Randomly picking each of the trilinear coordinates from a uniform distribution [0,1] also does not produce a uniform
How to Calculate the Sides and Angles of Triangles Using Pythagoras' Theorem, Sine and Cosine Rule - Owlcation
Geometric Figures on Grid Paper
Disk Triangle Picking -- from Wolfram MathWorld
Triangle Triangle Picking -- from Wolfram MathWorld
Simulating The Sun Using An SDK Example - OptiX - NVIDIA Developer Forums
How to Find the Area of an Isosceles Triangle (with Pictures)
Computing Exact Closed-Form Distance Distributions in Arbitrarily Shaped Polygons with Arbitrary Reference Point « The Mathematica Journal
Further Calculus Mathematics, Learning and Technology
Computing Exact Closed-Form Distance Distributions in Arbitrarily
i.insider.com/51def14deab8eaa53500000f?width=800&f
Posts Tagged with 'Mathematics'—Wolfram