Diagonals of an ellipse

I have been watching Norman Wildberger’s videos on all things mathematics for about 10 years. To say that I have learned a lot is the understatement of the decade. His most recent video is a recorded talk from July this year titled “How Chromogeometry transcends Klein’s Erlangen Program for Planar Geometries”. It is fascinating throughoutContinue reading “Diagonals of an ellipse”

Virtual furniture at the right scale

Our imagination is a powerful cognitive skill. When I walked into the living room of my new apartment, I experienced a rectangular empty space with a dusty concrete floor and hollow sounding acoustics. But in my mind I was already furnishing and decorating. I imagined a blue carpet on the floor, the walls lined with bookcases, a largeContinue reading “Virtual furniture at the right scale”

Detect position and orientation of faces with iOS

4 October 2017 – I updated the code for Swift 4 and iOS 11. You can find it here. When an iPhone is processing an image from one of its cameras, the main purpose is to make it look good for us. The iPhone has no interest in interpreting the image itself. It just wants to adjust the brightness and theContinue reading “Detect position and orientation of faces with iOS”