Post #2326320

A blog post explaining the math behind the image "Cyclide Check" in what I hope is a friendly, step-by-step way. This is fun material, especially if you're teaching or taking or otherwise fond of multivariable calc or linear algebra. (Also, the action by unit complex scalar multiplication on the real 3-sphere is a motivating example of a principal circle bundle, arising in a variety of mathematical settings.) https://www.diffgeom.com/blogs/about-math/cyclide-check/ <> For newer followers/passersby: I earned my PhD in complex differential geometry in 1993 under the direction of Shoshichi Kobayashi. In 2023 I left academia to preserve some ember of sanity, and am now trying to earn a modest living by designing mathematical jewelry and poster/t-shirt images, and writing about math as a form of public outreach. All my products for sale are created using software I wrote, together with widely-available libre programs. I warmly invite human visitors to browse my shop/blog: https://www.diffgeom.com/ The newest addition is an inexpensive set of picture postcards, titled "You Are Here": https://www.diffgeom.com/product/you-are-here-postcard-pack/ Over a period of 4.5 intensive months in 2024-25 I re-wrote an existing manuscript into "An Invitation to Real Analysis." A short blog post summarizes what is inviting (to both readers/students and instructors) about the book: https://www.diffgeom.com/blogs/around-the-shop/an-invitation-to-real-analysis/ As appropriate, please order an evaluation copy from Routledge. Every course adoption helps. In sardonic moments while writing I thought, "I'll be lucky if this book earns $0.30/hr." In fact, to date the book *has* earned ~$0.30/hr. But it would be nice to earn even more. https://www.routledge.com/An-Invitation-to-Real-Analysis/Hwang/p/book/9781032989136 #Math #MathArt #SciArt