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Mesh Generation for 3D Graphing calculator in Unity
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| // 8-27-24 | |
| // This is the code for my youtube video https://youtu.be/Orfc-HsCI_s. It is only for generating the front mesh of the 6 sides. | |
| // I hope you will be able to figure out how to make the rest of the sides. | |
| // (The reason I have not put the rest of the code below is because I am not following DRY, and don't want to refactor the code rn.) | |
| // I don't believe this is a good method for generating the mesh, but I was just unable to think of a better way. | |
| // This is just something simple that returns a passing result. If you know how to, or have any idea, please share with me. | |
| // I'd like of know different ways to create a 3D mesh. | |
| // Furthermore, to solve a 3D equation, in here, because it is for testing, I've provided a hard coded equation. | |
| public int resolution = 100; | |
| public float size = 5f; | |
| private void GenerateMeshFront() | |
| { | |
| Mesh mesh = new Mesh(); | |
| GetComponent<MeshFilter>().mesh = mesh; | |
| Vector3[] vertices = new Vector3[(resolution) * (resolution)]; | |
| int[] triangles = new int[(resolution - 1) * (resolution - 1) * 6]; | |
| float step = size / resolution; | |
| int triangleIndex = 0; | |
| for (int i = 0; i < resolution; i++) | |
| { | |
| for (int j = 0; j < resolution; j++) | |
| { | |
| float y = -size / 2 + i * step; | |
| float x = -size / 2 + j * step; | |
| float z = CalculateZFront(x, y); | |
| if (z != 0) | |
| { | |
| vertices[i * (resolution) + j] = new Vector3(x, y, z); | |
| } | |
| if (i < resolution - 1 && j < resolution - 1) | |
| { | |
| int btmLeft = i * (resolution) + j; | |
| int btmRight = btmLeft + 1; | |
| int topLeft = (i + 1) * (resolution) + j; | |
| int topRight = topLeft + 1; | |
| triangles[triangleIndex++] = btmLeft; | |
| triangles[triangleIndex++] = topLeft; | |
| triangles[triangleIndex++] = topRight; | |
| triangles[triangleIndex++] = topRight; | |
| triangles[triangleIndex++] = btmRight; | |
| triangles[triangleIndex++] = btmLeft; | |
| } | |
| } | |
| } | |
| mesh.vertices = vertices; | |
| mesh.triangles = triangles; | |
| mesh.RecalculateNormals(); | |
| float CalculateZFront(float x, float y) | |
| { | |
| // Sphere equation | |
| //float zSquared = 1 - x * x - y * y; | |
| // Hyperboloid equation | |
| float zSquared = x * x - y * y; | |
| return -Mathf.Sqrt(Mathf.Max(0, zSquared)); | |
| } | |
| } |
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