Problem 60466. Generate a point cloud on an equilateral triangle 3
The input is the iteration parameter H.
The output is a point cloud W involving N points.
W is N uniformly distributed points on an equilateral triangle.
The side length of an equilateral triangle is 2.
The relationship between H and N is as follows:
- H = [1 2 3 4 5 6 7 8 9];
- N = [4 9 16 25 36 49 64 81 100];
The results for cases where H is 1 to 6 are as follows.
Ex)
- [W,N] = lattice3(H=1) -> W = [0 0; 1 sqrt(3)/3; 1 sqrt(3); 2 0]; N = 4;
- [W,N] = lattice3(H=2) -> W = [0 0; 0.5 sqrt(3)/6; 0.5 sqrt(3)/2; 1 0; 1 sqrt(4/3); 1 sqrt(3); 1.5 sqrt(3)/6; 1.5 sqrt(3)/2; 2 0]; N = 9;
Solution Stats
Solution Comments
Show commentsProblem Recent Solvers2
Suggested Problems
-
9936 Solvers
-
Switch matrix to a column vector
347 Solvers
-
476 Solvers
-
Solving Quadratic Equations (Version 1)
482 Solvers
-
476 Solvers
More from this Author9
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!