# Patterns in the Fibonacci numbers

This special discussion was led by Zach Teitler and concerned patterns in the famous Fibonacci sequence of numbers. This sequence begins with 1,1 and then each successive number is obtained by taking the sum of the previous two. Here are the next few in the list:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169

Which Fibonacci numbers are even? Which ones are odd? Which Fibonacci numbers are divisible by 3? In this discussion we answered these questions and many more. Continue reading Patterns in the Fibonacci numbers

# Ways to write numbers

How do we write our numbers? When ten units get together, they make one new thing. We keep this new thing in a separate box to keep track of its status. This is called the 1←10 rule. Some people think we use the 1←10 rule because we have ten fingers. But what if we had a different number of fingers? Or a different type of rule altogether? Continue reading Ways to write numbers

# Shapes and motions

In our first day back at the math circle, we discussed the motions of a shape (such as a triangle, square, pyramid, etc) which return the square to a fixed position. We found that these motions can be composed or “multiplied” like numbers, and investigated the nature of these compositions. Continue reading Shapes and motions

# Math circle to resume Saturday 1/17

This Saturday, January 17, marks the first Spring meeting of the Boise Math Circle. We hope all of you who have been coming will continue to join us this semester! Additionally, we will welcome a few new participants. We are very much looking forward to it.

This week’s topic is “The arithmetic of rigid motions”

Remember, the math circle meets in the BSU Math building, room 139. It takes place on Saturday from 10am to 12pm.

# Polygons and Area

How much fruit is in that slice of fruit? In other words, what is the area of a polygon? If the polygon is drawn on a grid, how can you find the area by counting the grid points?

# Spheres and geometry

When we look at a highway, we often think of it as a straight line. Of course it is not straight—it curves with the earth. Still, if we say that the straight lines on the surface of the earth are the great circles, then we can begin to do geometry. Continue reading Spheres and geometry

# No meeting 10/4

Just a notice that we are not meeting Saturday, October 4, due to school district in-service days. See you next week!

# Downtown walking distances

We began our second session by noticing that in a perfect city grid such as (some of) Boise’s downtown and north end, there are a lot of ways to get from point A to point B. So how many are there really? Continue reading Downtown walking distances

# Sona sand drawings

The Sona sand drawings are part of the oral tradition of the Tchokwe people of Angola. The drawings are both art and science, and hold many interesting mathematical properties. Continue reading Sona sand drawings