# How to link up vertices to form the triangles in a Fibonacci Sphere?

I have been working on generating my own Sphere meshes lately. The easiest method to achieve this, is by creating a cube first and then normalize the vertices so they are equidistant from a certain origin point. This works fine but there are a couple of problems with it.

Because I am generating the Cube first and the turning it into a Sphere, the Sphere is made of 6 sides (6 sides of the cube). This makes it difficult to distort the shape of the Sphere in any form as you have to make sure the edges of the faces stay lined up.

So I looked online for other ways of generating a Sphere mesh, and I came across the Fibonacci Sphere found in this article.

It is a pretty cool way but also very efficient as the vertices are spread fairly evenly over the surface of the sphere. The problem with this though is that I have no clue what the logic behind the triangles is going to be in this one. The cube one is fairly straightforward because I am essentially only making 6 planes which are simply a grid of vertices.

In this one, I can't really understand how everything is going to link up together. I can't really think of any algorithm that can create the outside triangles for any arbitrary number of vertices on the sphere and I couldn't find anything online about it.

For reference, here is how the vertices are spread out when I try to spread 500 points over the surface of the sphere: https://prnt.sc/ulzwdb

I used Gizmos to draw spheres at the points in which the vertices are located just to see if I could come up with a way to find the right vertex indexes for my triangles, but I couldn't.

Any help would be appreciated

Thank you in advance.

Here is the code that I am currently using for the vertices (and also a mess of triangles):

```
public void createCircle(){
Mesh mesh = new Mesh();
vertices = new Vector3[resolution];
triangles = new int[resolution*3];
for(int i=0; i<resolution; i++){
float theta = 2 * Mathf.PI * i / goldenRatio;
float phi = Mathf.Acos((float)(1 - 2*(i+0.5)/resolution));
Vector3 pointOnSphere = (new Vector3(Mathf.Cos(theta) * Mathf.Sin(phi),
Mathf.Sin(theta) * Mathf.Sin(phi), Mathf.Cos(phi)) * radius) + transform.position;
vertices[i] = pointOnSphere;
}
int vertexCount = 0;
int triangleCount = 0;
for(int i=0; i<resolution-2; i++){
triangles[triangleCount] = vertexCount;
triangles[triangleCount+1] = vertexCount+1;
triangles[triangleCount+2] = vertexCount+2;
vertexCount++;
triangleCount+=3;
}
mesh.vertices = vertices;
mesh.triangles = triangles;
mesh.RecalculateNormals();
if(sphereMeshFilter != null) sphereMeshFilter = new MeshFilter();
MeshRenderer meshRenderer = this.gameObject.GetComponent<MeshRenderer>();
MeshFilter meshFilter = this.gameObject.GetComponent<MeshFilter>();
if(meshFilter == null){
this.gameObject.AddComponent<MeshFilter>();
}
if(meshRenderer == null){
this.gameObject.AddComponent<MeshRenderer>().sharedMaterial = new Material(shader);
}
meshFilter.mesh = mesh;
}
```

### Your answer

### Welcome to Unity Answers

The best place to ask and answer questions about development with Unity.

To help users navigate the site we have posted a site navigation guide.

If you are a new user to Unity Answers, check out our FAQ for more information.

Make sure to check out our Knowledge Base for commonly asked Unity questions.

If you are a moderator, see our Moderator Guidelines page.

We are making improvements to UA, see the list of changes.

### Follow this Question

### Related Questions

Seamless Terrain on Quad Sphere 0 Answers

Texture not Drawn on all uv Coordinates 0 Answers

Code generated mesh not visible 1 Answer

How to combine meshes for trees 0 Answers

3D mesh vertices ,face was torn,why? 0 Answers