Problem 60446. Generate a point cloud on an equilateral triangle 1

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 = [3 6 10 15 21 28 36 45 55];
The results for cases where H is 1 to 6 are as follows.
Ex)
  • [W,N] = lattice1(H=1) -> W = [0 0; 1 sqrt(3); 2 0]; N = 3;
  • [W,N] = lattice1(H=2) -> W = [0 0; 0.5 sqrt(3)/2; 1 0; 1 sqrt(3); 1.5 sqrt(3)/2; 2 0]; N = 6;
Solve

Solution Stats

52.38% Correct | 47.62% Incorrect
Last Solution submitted on Apr 27, 2025

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers11

Suggested Problems

More from this Author10

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!