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 throughout but my interest was piqued when at 25:13 he starts talking about ellipses.

Continue 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 large table on the far end, and a comfortable couch near the window. Continue reading “Virtual furniture at the right scale”