/// <summary>
/// Validates the edge lengths of a Icosahedron using its provided vertices.
/// <remarks>Simply validates the edges of 'a' as too much manual work to validate them all.</remarks>
/// <see cref="http://csharphelper.com/blog/2015/12/platonic-solids-part-6-the-icosahedron/" for diagram./>
/// </summary>
/// <param name="edgeLength">The length of the edge between neighboring vertices.</param>
/// <param name="vertices">The vertices.</param>
private static void ValidateEdgeLengths(float edgeLength, Vector3[] vertices) {
Vector3 a = vertices[0];
float sqrdEdgeLength = edgeLength * edgeLength;
Vector3[] aEdges = new Vector3[] {
vertices[1] - a, // a-b
vertices[2] - a, // a-c
vertices[3] - a, // a-d
vertices[4] - a, // a-e
vertices[5] - a // a-f
};
aEdges.ForAll<Vector3>(edge => {
bool isEqual = Mathfx.Approx(Vector3.SqrMagnitude(edge), sqrdEdgeLength, 1F);
if (!isEqual) {
D.Error("{0} should equal {1}.", Vector3.SqrMagnitude(edge), sqrdEdgeLength);
}
});
}