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

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

×

Like (0)

Difficulty:

(2)

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 = [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

25.0% Correct | 75.0% Incorrect

• 8 Solutions
• 2 Solvers

Last Solution submitted on Feb 23, 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 Solvers2

Suggested Problems

• Who Has the Most Change?

  8974 Solvers

• Swap the first and last columns

  21046 Solvers

• Create a cell array out of a struct

  2091 Solvers

• Sum all integers from 1 to 2^n

  15910 Solvers

• Negative Infinity

  324 Solvers

More from this Author9

• Generate a point cloud named `Incremental Lattice Design`

  3 Solvers

• Generate a point cloud on an equilateral triangle 1

  8 Solvers

• Generate a point cloud on an equilateral triangle 5

  2 Solvers

• Generate a point cloud on an equilateral triangle 2

  3 Solvers

• Generate a point cloud on an equilateral triangle 4

  2 Solvers