Problem 60501. Generate a point cloud on an equilateral triangle 8

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 = [7 19 37 61 91 127 169 217 271];
The results for cases where H is 1 to 6 are as follows.
Ex)
  • [W,N] = lattice8(H=1) -> W = [0 0; 1/3 sqrt(3)/3; 1 sqrt(3)/3; 1 sqrt(3); 4/3 0; 4/3 sqrt(4/3); 2 0]; N = 7;
Solve

Solution Stats

66.67% Correct | 33.33% Incorrect
Last Solution submitted on Jul 25, 2024

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