Math Circle

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.

Decimals and Reversimals

Let’s start with a review of fractions and decimals – which is easier to compute with? Then we will depart the familiar rational number system to explore the reversimals. Math Circle OnlineSunday November 1 4pm Look to email for login instructions.

Water Jugs and Lasers

The Math Circle meets this Sunday to look at a problem that was popularized by an action movie with Bruce Willis. To participate, we will need to use some special graph paper – please click this link and print out a copy. Math Circle OnlineSunday October 25 3pm Look to email for login instructions.