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

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

×

Like (1)

Difficulty:

(10)

Rate

• 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 = [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;

Solve

Solution Stats

50.0% Correct | 50.0% Incorrect

• 20 Solutions
• 10 Solvers

Last Solution submitted on Apr 08, 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 Solvers10

Suggested Problems

• Determine if input is odd

  22354 Solvers

• Convert from Base 10 to base 5

  264 Solvers

• How long do each of the stages of the rocket take to burn?

  332 Solvers

• Find Logic 20

  310 Solvers

• Find x rows where the sum of the numbers is the maximum

  459 Solvers

More from this Author9

• 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 5

  4 Solvers

• Generate a point cloud on an equilateral triangle 7

  4 Solvers

• Generate a point cloud on an equilateral triangle 2

  5 Solvers