BezierPolygon
func BezierPolygon(numberOfSides: UInt) -> UIBezierPath {
let path = UIBezierPath()
let length : CGFloat = 20.0
let center = CGPointMake(length, length)
let radius : CGFloat = length
var firstPoint = true
for i in 0..<(numberOfSides - 1) {
let theta = M_PI + Double(i) * 2.0 * M_PI / Double(numberOfSides)
let dTheta = 2.0 * M_PI / Double(numberOfSides)
var p = CGPointZero
if firstPoint {
p.x = center.x + radius * CGFloat(cos(theta))
p.y = center.y + radius * CGFloat(sin(theta))
path.moveToPoint(p)
firstPoint = false
}
p.x = center.x + radius * CGFloat(cos(theta + dTheta))
p.y = center.y + radius * CGFloat(sin(theta + dTheta))
path.addLineToPoint(p)
}
path.closePath()
return path
}from Erica Sadun Playground Secrets and power tips