A cool thing is that a square rotating on a catenary is is the inverse of a parabola rotating on a line. The interesting questions are "why is a hanging chain the roulette of a parabola?" "why does a hanging chain have a succinct expression?" and "what does gravity have to do with it?" Hilarie
Date: Wed, 1 Jul 2015 22:59:09 -0400 From: James Propp <jamespropp@gmail.com> Subject: Re: [math-fun] Draft of "The Lessons of a Square-Wheeled Trike"
I included the draft as an attachment in my earlier email, forgetting that "we" (math-fun) don't "do" attachments.
I've posted the draft at http://mathenchant.org/8-museum.rtf ; comments are welcome.
Jim Propp
On Tue, Jun 30, 2015 at 3:35 PM, James Propp <jamespropp@gmail.com> wrote:
I've finished a draft of installment #1 (as opposed to #0) of "Mathematical Enchantments", and I'd welcome comments.
Jim Propp