ATPLogoView.swift

// Source for the Accidental Tech Podcast (ATP) T-Shirt:
//  http://www.marco.org/2014/04/29/atp-shirts
//
// By Troy Gaul, June 2, 2014.
//
// Based on Obj-C veresion by Marco Arment, April 28, 2014. MIT license.
//  https://gist.github.com/marcoarment/2542cd28cb5df0aa97d8

import UIKit

class ATPLogoView: UIView {
    
    override func drawRect(rectIgnored: CGRect)
    {
        let fontName = "MyriadPro-Semibold"
        let title = NSLocalizedString("Accidental Tech Podcast", comment: "")
        let initials = NSLocalizedString("ATP", comment: "") as NSString
 
        let rect = CGRect(origin: CGPointZero, size: self.bounds.size)
        let w = rect.size.width
        let offsetY = w * -0.07
        
        var ringRect = CGRectInset(rect, w * 0.08, w * 0.08)
        ringRect.origin.y += offsetY
        let ring = UIBezierPath(ovalInRect: ringRect)
        ring.lineWidth = ceil(w * 0.012)
        UIColor(white: 0.3, alpha: 1.0).setStroke()
        ring.stroke()
        
        var innerRingRect = CGRectInset(rect, w * 0.21, w * 0.21)
        innerRingRect.origin.y += offsetY
        let inner = UIBezierPath(ovalInRect: innerRingRect)
        inner.lineWidth = ceil(w * 0.007)
        UIColor(white: 0.7, alpha: 1.0).setStroke()
        inner.stroke()
        
        let pStyle = NSMutableParagraphStyle()
        pStyle.alignment = .Center
        let titleAttributes = [
            NSFontAttributeName: UIFont(name: fontName, size: w * 0.068),
            NSParagraphStyleAttributeName: pStyle,
            NSForegroundColorAttributeName: UIColor.whiteColor(),
            NSKernAttributeName: w * 0.0037
        ]
        let t = title.uppercaseString as NSString
        let titleRect = CGRect(x: 0, y: w * 0.91, width: w, height: w * 0.09)
        let o = NSStringDrawingOptions.UsesLineFragmentOrigin
        t.drawWithRect(titleRect, options: o, attributes: titleAttributes, context: nil)
        
        let bs = CGSize(width: w * 0.44, height: w * 0.19)
        var bOrigin = CGPoint(x: (w - bs.width) / 2.0, y: (w - bs.height) / 2.0)
        bOrigin.y += offsetY
        let b = CGRect(origin: bOrigin, size: bs)
        
        let cX = CGRectGetMidX(b), cY = CGRectGetMidY(b)
        var transform = CGAffineTransformMakeTranslation(cX, cY)
        transform = CGAffineTransformRotate(transform, 0.5236)
        transform = CGAffineTransformTranslate(transform, -cX, -cY)
        CGContextConcatCTM(UIGraphicsGetCurrentContext(), transform)
        UIColor(red: 0.12, green: 0.25, blue: 0.4, alpha: 1.0).setFill()
        UIBezierPath(roundedRect: b, cornerRadius: bs.height * 0.15).fill()
        
        let a = titleAttributes.mutableCopy() as NSMutableDictionary
        a[NSFontAttributeName] = UIFont(name: fontName, size: bs.height * 0.84)
        a[NSKernAttributeName] = bs.height * 0.04
        let r = CGRectInset(b, 0, 0.17 * bs.height)
        initials.drawWithRect(r, options: o, attributes: a, context: nil)
    }

}

I wrote this by creating a starter project using the Xcode iOS Single View Application template with the Swift language. I then added a UIView to the storyboard, made it square (by setting up auto-layout as appropriate), and set its class to ATPLogoView. Finally, since this uses MyriadPro-Semibold which isn't on iOS, I found that file in Font Book, added it to the project, and created an entry in the Info.plist under UIAppFonts listing its filename.