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

• Created by Tomoaki Takagi
• Appears in Indexing IV

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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;

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Solution Stats

50.0% Correct | 50.0% Incorrect

• 20 Solutions
• 10 Solvers

Last Solution submitted on Apr 08, 2025

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