Math Circle

Fibonacci Checkers II

We continue our investigation of Fibonacci Checkers, and their connection to Fibonacci. To participate, you will need checkers (or pennies) and an ordinary checkerboard (or print here). Math Circle Online Sunday January 31 2021 4:00-5:30pm Look to email for login instructions.

Fibonacci Checkers

This Sunday we are going to play an unusual game of checkers that was invented by a famous 20th century mathematician. To participate, you will need an ordinary chess or checkerboard – if you don’t have one, you can print one here. You will also need a generous supply of checkers (about 25) – or …

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Fibonacci – III

We continue our study of the Fibonacci sequence… Last week, we investigated what came before the Fibonacci numbers, and we found a remarkable formula for any Fibonacci number. This week, we turn to the question: what comes in between the Fibonacci numbers? We’ll make use of graph that we did on January 3rd using the …

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Fibonacci – II

This week we continue our investigation of the Fibonacci sequence… by asking the question, what comes before the sequence? Then we’ll look for a completely different way of calculating Fibonacci numbers. Math Circle OnlineSunday January 10 4:00-5:30pm Look to email for login instructions.

Fee, Fie, Fibonacci!

We kick off the spring 2021 session of the Math Circle with a new topic: Fee, Fie, Fibonacci! We will investigate the properties of a famous sequence popularized by this Italian mathematician. This will lead us to the two numbers that govern the behavior of the sequence, namely Fee and Fie, or as they are …

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72 Pencils

Thank you for your participation in the fall term of the Granite State Math Circle! We’ve covered some diverse, sophisticated topics – such as risk neutral pricing in financial mathematics, the Stern-Brocot tree, p-adic numbers, and bisquare numbers with Fermat’s Christmas Theorem. We finish up the term next Sunday with a whimsical topic: what can …

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Bisquare Numbers and the Christmas Theorem

We continue our investigation of Bisquare Numbers. The Bisquare property rests fundamentally on a relationship propounded by a famous French Mathematician, sometimes called his Christmas Theorem. Can we prove it? To participate, you will need some graph paper — available here. Math Circle Online Sunday December 6 4:00-5:30pm Look to email for login instructions.

Bisquare Numbers

We continue our investigation of Bisquare Numbers — the square areas we can make with graph paper, like 1, 2, 4, 5, 8, 9, 10, 13, ….  Is there a pattern? Math Circle OnlineSunday November 29 4:00-5:30pm Some of you may be unavailable this holiday weekend – please RSVP to make sure we have a …

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Area of a Square

This week we are going to investigate of the areas of various squares, using graph paper. Some squares are easy to make, those of area 1, 4, 9, or 16 for example. Some are a bit harder– and some are seemingly impossible. Math Circle OnlineSunday November 22 4:00-5:30pm You will need some graph paper to …

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Reversimals II

Let’s continue our investigation of reversimals – decimals that repeat the wrong way. Math Circle OnlineSunday November 8 4pm Look to email for login instructions.