## Archive for November 2014

### Answer: 50 Squares

###### Below are two animated .gifs of each square to be made on the lattice board. If the images below are not moving, click on one to be directed to the original file of that image.

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*“I’ve just discovered I’m π-curious!”*

###### This is that neat thing I said I was working on in GeoGebra 5. I wanted to come up with a mathematical model that described this metal mixing ball. After playing around with some formulas and testing out properties, I chose some constants for a, n, and d for the base image. For each frame p, GeoGebra took a “screen capture” of the curve after all t units in the domain [-π, π] were mapped. This is the formula I came up with:

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###### I’ve been wanting to post this problem for a long time. I don’t know why I’m so lazy.

##### Problem:

###### Suppose you have a 5 x 5 peg lattice board like one on the right:

###### Without injuring yourself or others, how many rubber band squares can you make on the board?

##### Challenge:

###### How many rubber band squares can you make on an N x N peg lattice board?

##### Geoboard:

###### The picture above is a screenshot of the Geoboard app.

This app is a: