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

• Created by Tomoaki Takagi
• Appears in Generate a point cloud

×

Like (0)

• Solve Later   
• Add To GroupÂ

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;

Solve

Solution Stats

40.0% Correct | 60.0% Incorrect

• 10 Solutions
• 4 Solvers

Last Solution submitted on Apr 09, 2025

Last 200 Solutions

Solution Comments

ANNOUNCEMENT ×

Registration Now Open for MathWorks AUTOMOTIVE CONFERENCE 2025

Hello Community, We're excited to announce that registration is now open for the...

Problem Recent Solvers4

Suggested Problems

• Project Euler: Problem 6, Natural numbers, squares and sums.

  2326 Solvers

• Angle between Two Vectors

  513 Solvers

• Split a string into chunks of specified length

  1888 Solvers

• Determine the number of odd integers in a vector

  755 Solvers

• 07 - Common functions and indexing 2

  414 Solvers

More from this Author9

• Generate a point cloud on an equilateral triangle 2

  5 Solvers

• Generate a point cloud on an equilateral triangle 3

  4 Solvers

• Generate a point cloud on an equilateral triangle 8

  4 Solvers

• Generate a point cloud named `Simplex-Lattice Design`

  7 Solvers

• Generate a point cloud on an equilateral triangle 1

  10 Solvers