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

• Created by Tomoaki Takagi
• Appears in Easy Sequences Volume VIII

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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 = [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;

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Solution Stats

40.0% Correct | 60.0% Incorrect

• 10 Solutions
• 4 Solvers

Last Solution submitted on Apr 09, 2025

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