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

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Last Solution submitted on Mar 03, 2026

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George Berken GeeTwo Rahul Jaishree

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