Archive for Technology

Parametric Spiral Ball Animation with GeoGebra 5

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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How Many Squares Can You Make in a 5 x 5 Peg Lattice Board?

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

4 x 4 Unit Lattice Board

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:
provided by The Math Learning Center.

GEOGEBRA 3D IS HERE!….. OH THE IRONY!

IMG_1802.JPG

I’m so excited to check out GeoGebra5. I just find it very ironic that the day it is released is the same day I’m admitted to the hospital.

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Ready to save some money on batteries?

1.5 AAA batteryLet’s say:

You have a TV remote or a small book light that uses three AAA batteries.  The TV remote no longer sends signals to the receiver and the book light does not turn on.  What do you do with the batteries?  Do you roll them around?  Do you rearrange the position of the batteries until the device works?  What if neither of those methods work?
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Creativity Meets Math

Screen capture using Circular Design Maker

Screen capture using Circular Design Maker

Ever wonder if there’s any creativity in logic and math?  Do left-brained people struggle to be creative?  Where does creativity and logic come from?

Try out my Circular Design Maker.
* This seems to work better with the Mozilla Firefox browser

I was curious what it would look like if rotated rotating points around center points around another center point.  LOL. Try saying that 5 times fast!

Using GeoGebra, I made this worksheet for us to see.

Try making some designs and take pictures of them!

Creativity and Logic come from Curiosity.

Portal 2: Amber’s Playroom

Amber’s Playroom by MathyNick For Science. You monster.

Subscribe to Amber’s Playroom to play in Portal 2!

If you don’t have Portal 2, here’s where you can buy it!

In my last post, Problem Solving in Portal and Portal 2, I made a quick introduction to the games Portal and Portal 2.  In Portal 2, you have the option of making Testing Chambers in the Community Workshop for others to play and solve.

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Problem Solving in Portal and Portal 2

“The cake is a lie,” but the fun is real!

I <3 Portal and Portal 2!
Portal and Portal 2 are first-person, puzzle games with difficulty levels ranging from easy to clever to challenging.  In Single Player Story Mode, you play the role of Chell who is a test subject kept preserved by Aperture Science Laboratories.  The object of the game is to use your portal gun to navigate your way through each chamber.  Each chamber is designed and overseen for “testing” by the AI central core, GLaDOS.

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“Slice It!”: A Very Addictive Game

Suppose you have a circle and you have to cut the circle into 4 regions of equal area with only 3 cuts.  Where do you place the lines?  Is there an exact strategy or is it a manner of approximation.  Either way, it’s not as easy as one might think and yet the game is tantalizingly fun. 

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Codecademy.com

Months ago I saw a video on Facebook that stuck with me. (See video below or click here).  The entrepreneurs of many successful companies all got their start from learning programming:  Facebook, Dropbox, Fab, just to name a few.

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