Problem 60481. Generate a point cloud on an equilateral triangle 5

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 = [9 24 45 72 105 144 189 240 297];
The results for cases where H is 1 to 6 are as follows.
Ex)
  • [W,N] = lattice5(H=1) -> W = [0 0; 1/3 sqrt(3)/3; 2/3 0; 2/3 sqrt(4/3); 1 sqrt(3); 4/3 0; 4/3 sqrt(4/3); 5/3 sqrt(3)/3; 2 0]; N = 9;
Solve

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50.0% Correct | 50.0% Incorrect
Last Solution submitted on Apr 29, 2025

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