Patrick Honner was a terrific guest on the My Favorite Theorem blog today:

Hey, look, it's a new @myfavethm starring @MrHonner! Pause at the 4:18 mark to avoid spoilers (but turn it back on when you've thought about it for a little while) https://t.co/3vt5OBx03S

After listening to today’s My Favorite Theorem episode I wanted to do a follow up project – probably this weekend – but then I saw a really neat tweet just as I finished listening:

Your talk led me to apply Varignon's Theorem to a skew (i.e. non-planar) quadrilateral, in particular to the vertices of a regular tetrahedron. It turns out Varignon's Theorem gives a quick way to show that a regular tetrahedron has a square cross section. https://t.co/HOynUFxpfB

Well . . . I had to build that from our Zometool set and ended up finding a fun surprise, too. I shared the surprise shape with my older son tonight and here’s what he had to say:

What a fun day! If you are interested in a terrific (and light!) podcast about math – definitely subscribe to My Favorite Theorem.