public static ConwayPoly ElongatedBicupola(int sides, bool gyro)
{
ConwayPoly poly = ElongatedCupola(sides);
Face bottom = poly.Faces[sides * 2];
int i = 0;
var middleVerts = bottom.GetVertices();
poly.Faces.Remove(bottom);
poly.FaceRoles.RemoveAt(poly.FaceRoles.Count - 1);
poly.FaceTags.RemoveAt(poly.FaceRoles.Count - 1);
float baseOffset = -(_CalcSideLength(sides * 2) + _CalcCupolaHeight(sides));
float angleOffset = gyro ? 0.75f : 0.25f;
ConwayPoly cap2 = _MakePolygon(sides, false, angleOffset, baseOffset, _CalcCupolaCapRadius(sides));
poly.Append(cap2);
var edge2 = poly.Faces.Last().Halfedge.Prev;
int edgeOffset = gyro ? 0 : 1;
while (true)
{
var side1 = new List <Vertex>
{
middleVerts[PolyUtils.ActualMod(i * 2 - 1 - edgeOffset, sides * 2)],
middleVerts[PolyUtils.ActualMod(i * 2 - edgeOffset, sides * 2)],
edge2.Vertex
};
poly.Faces.Add(side1);
poly.FaceRoles.Add(ConwayPoly.Roles.New);
poly.FaceTags.Add(new HashSet <Tuple <string, ConwayPoly.TagType> >());
var side2 = new List <Vertex>
{
middleVerts[PolyUtils.ActualMod(i * 2 - edgeOffset, sides * 2)],
middleVerts[PolyUtils.ActualMod(i * 2 + 1 - edgeOffset, sides * 2)],
edge2.Next.Vertex,
edge2.Vertex,
};
poly.Faces.Add(side2);
poly.FaceRoles.Add(ConwayPoly.Roles.NewAlt);
poly.FaceTags.Add(new HashSet <Tuple <string, ConwayPoly.TagType> >());
i++;
edge2 = edge2.Next;
if (i == sides)
{
break;
}
}
poly.Halfedges.MatchPairs();
return(poly);
}
public static ConwayPoly GyroelongatedCupola(int sides)
{
ConwayPoly poly = Antiprism(sides * 2);
Face topFace = poly.Faces[1];
ConwayPoly cap1 = _MakePolygon(sides, true, 0f, _CalcCupolaHeight(sides) + _CalcAntiprismHeight(sides * 2), _CalcCupolaCapRadius(sides));
poly.Append(cap1);
int i = 0;
var middleVerts = topFace.GetVertices();
poly.Faces.Remove(topFace);
poly.FaceRoles.RemoveAt(1);
poly.FaceTags.RemoveAt(1);
var edge2 = poly.Faces.Last().Halfedge.Prev;
while (true)
{
var side1 = new List <Vertex>
{
middleVerts[PolyUtils.ActualMod(i * 2 - 1, sides * 2)],
middleVerts[PolyUtils.ActualMod(i * 2, sides * 2)],
edge2.Vertex
};
poly.Faces.Add(side1);
poly.FaceRoles.Add(ConwayPoly.Roles.New);
poly.FaceTags.Add(new HashSet <Tuple <string, ConwayPoly.TagType> >());
var side2 = new List <Vertex>
{
middleVerts[PolyUtils.ActualMod(i * 2, sides * 2)],
middleVerts[PolyUtils.ActualMod(i * 2 + 1, sides * 2)],
edge2.Next.Vertex,
edge2.Vertex,
};
poly.Faces.Add(side2);
poly.FaceRoles.Add(ConwayPoly.Roles.NewAlt);
poly.FaceTags.Add(new HashSet <Tuple <string, ConwayPoly.TagType> >());
i++;
edge2 = edge2.Next;
if (i == sides)
{
break;
}
}
poly.Halfedges.MatchPairs();
return(poly);
}
private static int CalcDirectionIndex(Face face, int range)
{
var angles = new []
{
Vector3.Angle(face.Normal, Vector3.up),
Vector3.Angle(face.Normal, Vector3.down),
Vector3.Angle(face.Normal, Vector3.left),
Vector3.Angle(face.Normal, Vector3.right),
Vector3.Angle(face.Normal, Vector3.forward),
Vector3.Angle(face.Normal, Vector3.back),
};
float angle = angles.Min();
return(Mathf.FloorToInt((angle / 90f) * range));
}
// Work in progress. Not working at the moment
private static ConwayPoly _MakeRotunda(int sides, float height, bool bi = false)
{
sides = Mathf.Clamp(sides, 3, 64);
ConwayPoly poly = _MakePolygon(sides);
Face bottom = poly.Faces[0];
ConwayPoly cap1 = _MakePolygon(sides, true, 0.25f, height, _CalcCupolaCapRadius(sides));
poly.Append(cap1);
int i = 0;
// var upperTriFaces = new List<Face>();
// var LowerTriFaces = new List<Face>();
// var SidePentFaces = new List<Face>();
var edge1 = poly.Halfedges[0];
var edge2 = poly.Halfedges[sides * 2];
while (true)
{
poly.Vertices.Add(new Vertex(Vector3.Lerp(edge1.Vector, edge2.Vector, _CalcCupolaCapRadius(sides))));
var newV1 = poly.Vertices.Last();
poly.Vertices.Add(new Vertex(Vector3.Lerp(edge1.Prev.Vector, edge2.Next.Vector, 0.5f)));
var newV2 = poly.Vertices.Last();
var pentFace = new List <Vertex>
{
edge1.Next.Vertex,
edge1.Vertex,
newV1,
};
poly.Faces.Add(pentFace);
poly.FaceRoles.Add(ConwayPoly.Roles.New);
poly.FaceTags.Add(new HashSet <Tuple <string, ConwayPoly.TagType> >());
i++;
edge1 = edge1.Next.Next;
edge2 = edge2.Prev;
if (i == sides)
{
break;
}
}
poly.Halfedges.MatchPairs();
return(poly);
}
public Halfedge(Vertex vertex, Halfedge next, Halfedge prev, Face face, Halfedge pair) : this(vertex, next, prev, face)
{
Pair = pair;
}
public Halfedge(Vertex vertex, Halfedge next, Halfedge prev, Face face) : this(vertex) {
Next = next;
Prev = prev;
Face = face;
}
private static ConwayPoly _MakeCupola(int sides, float height, bool bi = false, bool gyro = true)
{
sides = Mathf.Clamp(sides, 3, 64);
ConwayPoly poly = _MakePolygon(sides * 2);
Face bottom = poly.Faces[0];
ConwayPoly cap1 = _MakePolygon(sides, true, 0.25f, height, _CalcCupolaCapRadius(sides));
poly.Append(cap1);
int i = 0;
var squareSideFaces = new List <Face>();
var edge1 = poly.Halfedges[0];
var edge2 = poly.Halfedges[sides * 2];
while (true)
{
var side1 = new List <Vertex>
{
edge1.Next.Vertex,
edge1.Vertex,
edge2.Prev.Vertex
};
poly.Faces.Add(side1);
poly.FaceRoles.Add(ConwayPoly.Roles.New);
poly.FaceTags.Add(new HashSet <Tuple <string, ConwayPoly.TagType> >());
var side2 = new List <Vertex>
{
edge1.Vertex,
edge1.Prev.Vertex,
edge2.Vertex,
edge2.Prev.Vertex
};
poly.Faces.Add(side2);
squareSideFaces.Add(poly.Faces.Last());
poly.FaceRoles.Add(ConwayPoly.Roles.NewAlt);
poly.FaceTags.Add(new HashSet <Tuple <string, ConwayPoly.TagType> >());
i++;
edge1 = edge1.Next.Next;
edge2 = edge2.Prev;
if (i == sides)
{
break;
}
}
if (bi)
{
float angleOffset = gyro ? 0.75f : 0.25f;
ConwayPoly cap2 = _MakePolygon(sides, false, angleOffset, -height, _CalcCupolaCapRadius(sides));
poly.Append(cap2);
i = 0;
var middleVerts = bottom.GetVertices();
poly.Faces.Remove(bottom);
poly.FaceRoles.RemoveAt(0);
edge2 = poly.Faces.Last().Halfedge.Prev;
int indexOffset = gyro ? 0 : -1;
while (true)
{
var side1 = new List <Vertex>
{
middleVerts[PolyUtils.ActualMod(i * 2 - 1 + indexOffset, sides * 2)],
middleVerts[PolyUtils.ActualMod(i * 2 + indexOffset, sides * 2)],
edge2.Vertex
};
poly.Faces.Add(side1);
poly.FaceRoles.Add(ConwayPoly.Roles.New);
poly.FaceTags.Add(new HashSet <Tuple <string, ConwayPoly.TagType> >());
var side2 = new List <Vertex>
{
middleVerts[PolyUtils.ActualMod(i * 2 + indexOffset, sides * 2)],
middleVerts[PolyUtils.ActualMod(i * 2 + 1 + indexOffset, sides * 2)],
edge2.Next.Vertex,
edge2.Vertex,
};
poly.Faces.Add(side2);
poly.FaceRoles.Add(ConwayPoly.Roles.NewAlt);
poly.FaceTags.Add(new HashSet <Tuple <string, ConwayPoly.TagType> >());
i++;
edge2 = edge2.Next;
if (i == sides)
{
break;
}
}
}
poly.Halfedges.MatchPairs();
return(poly);
}
