Hexaflexagon to mobius strip
- #Hexaflexagon to mobius strip professional
- #Hexaflexagon to mobius strip series
- #Hexaflexagon to mobius strip free
#Hexaflexagon to mobius strip free
They’re free – and very interesting!įinally, what New York City resident or visitor isn’t fascinated by the subway system? And what New York City resident or visitor doesn’t spend a good amount of time thinking about the fastest way to get from point A to point B? Do you stay on the same train for as long as possible and walk a bit? Or do you transfer, and hope that you don’t miss your train? You can listen to Sol’s podcasts of these interviews by visiting his blog or iTunes.
#Hexaflexagon to mobius strip series
My favorite part about this blog is a series of interviews that Sol calls, “Inspired by Math.” Sol has interviewed about 23 different mathematicians, including Steven Strogatz (who has written two series of columns for the New York Times about mathematics) and Seth Kaplan and Deno Johnson, the producer and writer/director of the Flatland movies. Next up, I just ran across a great blog called Wild About Math! This blog is written by Sol Lederman, who used to work with computers and LOVES math. Here is one of her pentagon tilings transformed into a tessellation of fish.īy the way, it was Marjorie’s birthday a few weeks ago. Marjorie has a website called Intriguing Tessellations on which she’s written about her work and posted some of her tessellation artwork. Maybe you can find a new one – or prove that one can’t be found! Whether or not there are more types of pentagons that tile the plane is what mathematicians call an open problem. There are now fourteen different types of pentagons known to tile the plane… but are there more? No one knows for sure. By 1977, Marjorie had discovered three more types of pentagons that tile the plane and her new friend, the mathematician Doris Schattschneider, had published an article about Marjorie’s work in Mathematics Magazine.
And, eventually… she found one! Marjorie wrote to Martin Gardner to tell him about her discovery.
#Hexaflexagon to mobius strip professional
Her new notation helped her to see things in ways that professional mathematicians had overlooked. She came up with her own notation for the relationships between the angles in her pentagons. When she read about this, Marjorie became curious about whether she could find her own new type of pentagon that could tile the plane. But, in 1968, three more were discovered, and, in 1975, a fourth was found – which Martin Gardner reported on in his article. Before several years earlier, mathematicians had believed that there were only five different types of pentagons that could tessellate – or cover the entire plane without leaving any gaps. One day in 1975, she read an article that Martin Gardner wrote about a new discovery about pentagon tessellations. Her son had a subscription to Scientific American, and Marjorie enjoyed reading articles by Martin Gardner (of hexaflexagon fame). When her children were all in school, Marjorie began to read about and work on math problems for fun. But, Marjorie was always interested in math. Marjorie had no mathematical education beyond high school. Marjorie is a mathematician – but with a very unusual background.
A few weeks ago, I learned about an amazing woman named Marjorie Rice.