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
This session we took a field trip to STEM exploration today and had a lot of fun! Some of the things we “explored”:
- Heat shielding for space craft
- Leaf-blower hovercraft
- Programming using the Blockly maze game
- Games and puzzles
Click through for pictures! Continue reading STEM exploration day
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
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
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.
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?
Continue reading Polygons and Area
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
Just a notice that we are not meeting Saturday, October 4, due to school district in-service days. See you next week!
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
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