Problem 60471. Generate a point cloud on an equilateral triangle 4

• Created by Tomoaki Takagi
• Appears in Hidden Pattern - Matrix Version

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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 = [6 18 36 60 90 126 168 216 270];

The results for cases where H is 1 to 6 are as follows.

Ex)

• [W,N] = lattice4(H=1) -> W = [1/3 sqrt(3)/3; 2/3 0; 2/3 sqrt(4/3); 4/3 0; 4/3 sqrt(4/3); 5/3 sqrt(3)/3]; N = 6;

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Solution Stats

20.69% Correct | 79.31% Incorrect

• 29 Solutions
• 5 Solvers

Last Solution submitted on Apr 29, 2025

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