Generate a point cloud on an equilateral triangle 8 - MATLAB Cody - MATLAB Central

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

Difficulty:
(55)
Rate
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

22.22% Correct | 77.78% Incorrect
Last Solution submitted on Apr 29, 2025

Solution Comments

Show comments

Problem Recent Solvers5

Suggested Problems

More from this Author10

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!