Hackenbush On a Number Line [Part 1]

Check out this video to see how to play Hackenbush:

If you want to play this game, I suggest having one person draw any starting position they’d like. The other player chooses colors and goes first.

I find this game to be much more fun to analyze than it is to play–there seems to be a curious connection between familiar numbers and Hackenbush positions.

I’ll leave the ball in your court.

Zero Game half+half+(-1)
bluered+bluered+red makes a zero game.
  1. Check that this game from the end of the video is actually a zero game.
  2. What number makes sense for this mystery position called bluered?
  3. Can you make sense of a position that is three pieces tall? Say blueredred?
  4. What other numbers can you find on the Hackenbush Number Line?

Save the Dates: 2015 Math Events

March 14: Pi Day
April 4: Julia Robinson Festival
April 12th: Bellevue Sunday Classes Start
April 13th-17th: Seattle Math for Love Spring Break Camp
June 22-26: Seattle Math for Love Camp
June 29-3: Bellevue Math for Love Camp
July 6-10: Seattle Math for Love Camp
July 13-17: Bellevue Math for Love Camp

See Math for Love website for information on summer camps and the Julia Robinson Festival.

Euclid: The Game (Geometry)

Euclid: The Game offers a modern and novel way to play with many of the fundamental ideas of classical geometry.

Work your way through the traditional compass and straight-edge constructions, earning tools appropriately–once you can construct an equilateral triangle, you get an “equilateral triangle” tool. And once you can find a midpoint, you get a “mark the midpoint” tool.

Programming and Mathematics

Project Euler is a series of programming challenges asking you to solve harder and harder math problems.

Can you find the 100th prime?
Can you find the sum of the first 100 primes?
Can you find the 100th prime that is also a Fibonacci number?

You can complete these challenges in any language you like.

Doodling Stars

I often cite this video from Vi Hart as the reason I do what I do.

Before I knew the name Martin Gardner and long before I knew about Math Circles, I was teaching ideas from Vi Hart to homeschool kids who got together for a once-a-week class centered around Math Olympiad (MOEMS) contests.

Her videos are dense and fast, but she’s a wonderful artist showing some awesome mathematics in a delightfully quirky way.

Nim Video Series

This week I recorded and posted my first ever video lessons. My first project was a series on Nim, a game that I’ve been interested in for the past couple of years. You can check it out here.

I have a couple of ideas for other videos to make, but I’d love to hear some requests/suggestions! I’m hoping to get a new one up every couple of weeks, but we’ll see how it goes.