private static float GetScaleFactor(Icosphere sphere, float edgeLength)
{
List <SCoord> coordinates = new List <SCoord>(sphere.Coordinates);
// Compute the scaling factor to meet the target edge length
// Get the distance from the pole to one of its neighbors
Vector3 scaleVec1 = sphere.GetPoint(coordinates[0]);
IEnumerator <SCoord> scaleNeighbors = sphere.GetNeighbors(coordinates[0]).GetEnumerator();
scaleNeighbors.MoveNext();
Vector3 scaleVec2 = sphere.GetPoint(scaleNeighbors.Current);
float dist = Vector3.Distance(scaleVec1, scaleVec2);
// Compute the new scale factor and set this for the sphere
float sf = edgeLength / dist;
return(sf);
}
public void RenderSphere(Transform parentObject, Material outlineHex, Material outlinePent)
{
int sphereLayer = LayerMask.NameToLayer("Sphere");;
foreach (SCoord tile in hexSphere.Coordinates)
{
// Setup new game object with generated mesh
GameObject newTile = new GameObject();
MeshFilter mf = newTile.AddComponent <MeshFilter>();
MeshRenderer mr = newTile.AddComponent <MeshRenderer>();
MeshCollider mc = newTile.AddComponent <MeshCollider>();
HexIdentifier hider = newTile.AddComponent <HexIdentifier>();
//GameObjectUtility.SetStaticEditorFlags(newTile,
//StaticEditorFlags.OccludeeStatic | StaticEditorFlags.OccluderStatic);
// Set the standard material shader
mr.material = new Material(Shader.Find("Diffuse"));
// Make the mesh and render the tile
RenderTile(mf.mesh, tile, hexSphere);
// Move the tile to its new position and rotation
newTile.transform.position += parentObject.transform.position;
newTile.transform.Rotate(parentObject.transform.eulerAngles);
// set hierarchy relationship
newTile.transform.SetParent(parentObject);
// Set Name of the tile
newTile.name = "Lat " + Mathf.Round(tile.GetTheta() * Mathf.Rad2Deg * 100) / 100 +
" Lon " + Mathf.Round(tile.GetPhi() * Mathf.Rad2Deg * 100) / 100;
tileMap[tile] = newTile;
hider.center = hexSphere.GetPoint(tile);
hider.location = tile;
CameraHider.AddObject(hider);
newTile.layer = sphereLayer;
if (hexSphere.GetDegree(tile) == 5)
{
mr.material = outlinePent;
}
else if (hexSphere.GetDegree(tile) == 6)
{
mr.material = outlineHex;
}
mc.sharedMesh = mf.mesh;
}
}
// Start is called before the first frame update
void Start()
{
// Make the icosphere
sphere = new Icosphere(transform.position, radius);
for (int sub = 0; sub < subdivsions; sub++)
{
sphere = sphere.SubdivideSphere();
}
// Make the faces of the icosphere
foreach (SCoord coord in sphere.Coordinates)
{
// Get the 3d coordinate of the sphere
Vector3 point = sphere.GetPoint(coord);
// Get the rotation of the face to make it tangent to the sphere
Vector3 rotation = SCoord.GetRotation(coord);
// Get the kind of object
GameObject newObj = null;
int degree = sphere.GetDegree(coord);
if (degree == 5)
{
newObj = Instantiate(pentagonPrefab);
}
else
{
newObj = Instantiate(hexagonPrefab);
}
// Place and rotate object tangent to the sphere
newObj.transform.eulerAngles = rotation;
newObj.transform.position = point;
newObj.transform.SetParent(this.transform);
// Rotate the face to be line up correclty
IEnumerator <SCoord> neighbors = sphere.GetNeighbors(coord).GetEnumerator();
neighbors.MoveNext();
SCoord neighbor = neighbors.Current;
Vector3 targetVec = Vector3.ProjectOnPlane(neighbor.ToEuclidian() - coord.ToEuclidian(), newObj.transform.up).normalized;
float angle = Mathf.Acos(Vector3.Dot(newObj.transform.right.normalized, targetVec));
if (float.IsNaN(angle))
{
angle = 180;
}
Vector3 cross = Vector3.Cross(newObj.transform.right.normalized, targetVec);
if (Vector3.Dot(newObj.transform.up.normalized, cross) < 0)
{
angle *= -1;
}
angle *= 180 / Mathf.PI;
Debug.Log(angle);
newObj.transform.Rotate(0, angle, 0, Space.Self);
tiles.Add(coord, newObj);
}
}
public static void RenderTile(Mesh mesh, SCoord tileCenter, Icosphere hexSphere)
{
// Make a linked list of the coordinate's neighbors
LinkedList <SCoord> neighbors;
// hexes are not triangles
neighbors = new LinkedList <SCoord>(hexSphere.GetNeighbors(tileCenter));
// Make list of vertices
List <Vector3> vertices = new List <Vector3>(neighbors.Count + 1);
// Make list of normals for each vertex
List <Vector3> normals = new List <Vector3>(neighbors.Count + 1);
// Make list of UV coordinates for each vertex
List <Vector2> uvLocations = new List <Vector2>(neighbors.Count + 1);
// Setup lookup table for vertices
Dictionary <SCoord, int> keyLookup = new Dictionary <SCoord, int>();
keyLookup.Add(tileCenter, keyLookup.Count);
uvLocations.Add(new Vector2(0.5f, 0.5f));
vertices.Add(hexSphere.GetPoint(tileCenter));
normals.Add(tileCenter.ToEuclidian());
float radPerVertex = Mathf.PI * 2 / neighbors.Count;
SCoord startVertex = neighbors.First.Value;
SCoord source = startVertex;
neighbors.RemoveFirst();
// Get the order of neighbors (forward or backward just wrapping around center)
LinkedList <SCoord> orderedNeighbors = new LinkedList <SCoord>();
orderedNeighbors.AddLast(startVertex);
// Calculate the teselated edges of the hexagon/pentagon
while (neighbors.Count > 1)
{
// Find the next SCoord in the sequence of neighbors (neighbor to origin that is
// adjacent to the previous neighbor)
LinkedListNode <SCoord> nextVertex = neighbors.First;
while (!new List <SCoord>(hexSphere.GetNeighbors(nextVertex.Value)).Contains(source))
{
nextVertex = nextVertex.Next;
}
orderedNeighbors.AddLast(nextVertex.Value);
// Save current vertex as previous vertex
source = nextVertex.Value;
// Remove current vertex so it is not checked again
neighbors.Remove(nextVertex);
}
// Finish list of ordered neighbors
orderedNeighbors.AddLast(neighbors.First.Value);
foreach (SCoord n in orderedNeighbors)
{
keyLookup.Add(n, keyLookup.Count);
}
List <SCoord> neighborList = new List <SCoord>(orderedNeighbors);
List <int> triangleList = new List <int>();
for (int idx = 0; idx < neighborList.Count; idx++)
{
// Get the centroid of the three adjacent tiles
SCoord vert = SCoord.GetCentroid(tileCenter, neighborList[idx], neighborList[(idx + 1) % neighborList.Count]);
// Sort the coordinates in the correct order so the face is visible
SCoord[] triangleCoords = SCoord.SortClockwiseOrder(tileCenter,
neighborList[idx],
neighborList[(idx + 1) % neighborList.Count]);
// Add the vertex
vertices.Add(hexSphere.GetPoint(vert));
// Add the normal vector of the vertex
normals.Add(vert.ToEuclidian());
// Add UV coordinate for this vertex
Vector2 uv = new Vector2(0.5f + Mathf.Cos(radPerVertex * idx) * 0.5f,
0.5f + Mathf.Sin(radPerVertex * idx) * 0.5f);
uvLocations.Add(new Vector2(0.5f + Mathf.Cos(radPerVertex * idx) * 0.5f,
0.5f + Mathf.Sin(radPerVertex * idx) * 0.5f));
// Add the triangles (set of three vertices)
triangleList.Add(keyLookup[triangleCoords[2]]);
triangleList.Add(keyLookup[triangleCoords[1]]);
triangleList.Add(keyLookup[triangleCoords[0]]);
}
// Flatten out the center of the hex so it doesn't arch out
Vector3 flatCenter = Vector3.zero;
for (int i = 1; i < vertices.Count; i++)
{
flatCenter += vertices[i];
}
flatCenter /= (vertices.Count - 1);
vertices[0] = flatCenter;
// assign values to mesh
mesh.vertices = vertices.ToArray();
mesh.normals = normals.ToArray();
mesh.triangles = triangleList.ToArray();
mesh.uv = uvLocations.ToArray();
}