Mary Poppins and 3D

I think the first time I thought about 3D in a different way was when my mother read Mary Poppins to me. Suddenly, I saw all the space in a room and that it could be turned in different directions.  For instance, when Mr. Wigg floated up to the ceiling and the children joined him, by laughing! Here's a section called "Laughing Gas" where  laughing sends her up from the floor: "Michael, to his astonishment, saw her go soaring up through the room. With a little bump, her head touched the ceiling and then she went bouncing along it till she reached Mr. Wigg."[1934, by P.L. Travers, illustrated by  Mary Shepard, 35.]

Panorama at top of Arched Ball Throw

Thanks to my son Chip McCormick for finding this!


Here's a new panoramic camera inside a soccer-type ball! It will be in SIGGRAPH Asia's Emerging Technologies.  When thrown, it takes a picture from hundreds of cameras simultaneously.  From this, it creates a panorama:

ChangingLevels - my project

Here are some sketches for my game design, regarding Changing Levels.  Click to enlarge. Use Backward Arrow (top left) when done.

Vertical Levels

Basic Landscape: Surface Terrain.

Changing Levels: By balloon, birds, airplane...

Nintendo-like Levels, includes different games.

Drawn by Sara Masters. Copyright 2011.

Shapes: Iconic geometry

from the circle to the Egyptian pyramids to the Taj Mahal


BBC radio broadcast from the series: The Changing World, Sept. 2011:

Thanks to my sister, Mary, for this link!
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"Structural engineer and designer Cecil Balmond probes what he calls 'iconic geometry,' shapes that have formed our thinking in science, math, and design.. "   http://www.thechangingworld.org/archives/2011/wk40.php
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One speaker was Ian Stewart, an English emeritus professor who is one of my favorites.  He often writes about the naturally occurring patterns displayed throughout nature, so that even within apparent Chaos, finding the right perspective reveals a pattern, such as with turbulence.  In a field of corn, the tassles and stalks appear to blend in chaotically with the background until you hit the right point when driving past __ at which time the rows all line up magically, only to fade away in another second!

Some of his books include:

• Nature's Numbers, the Unreal Reality of Mathematics
• Flatterland, Like Flatland Only More So 
• Does God Play Dice? The New Mathematics of Chaos  which includes showing order within chaos.

Landmark - my project

A couple of years ago, this was what I was thinking of for one module of my project - finding  a Landmark that was hard to recognize out of context, that students could solve in three ways:

• math problems on their current classroom level*
• street directions
• the student's memory.

They were given a Starting Point, looking in a certain direction and they had to find angles and lines to get there!  Sort of like a video game with measurement added! :)

For the final picture, I used a Gigapan - a panorama with great zooming resolution, then chose a landmark that was too small to see in the full view! This link was  of PPG Place (sorry, not high quality, being my first full one, taken in very cold weather so I had trouble lining it up).
This evergreen bear is actually in the Gigapan above!

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* math directions for a student might be:

To get there (as the crow flies). 

1. The game starts by facing East (0 degrees) from START (LaRoche).

2. Turn 90 degrees to the right.

3. Go 10 miles.

4. Turn 90 degrees to the left.

5. Go ¼ mile.

6. Turn 90 degrees to the left again, and look for . . .[hint given].

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Sara

Spiral Sine in Helix and Mandelbrot Plots

These are interesting math graphing links.

1. Here's a Sine Spiral Graphed on a Helix (slightly animated),
by Justin Coslor.  
http://ia700702.us.archive.org/12/items/SineSpiralGraphingForHelixOrbitTrigonometry/JustinCoslor2011SineSpiralGraphing-Animation.gif

and
2. a way to generate Mandelbrot Plots:

from http://www.flashandmath.com/advanced/mandelbrot/MandelbrotPlot.html
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Can you find any more Mandelbrot sites?
Google images of Mandelbrot plots...

This site teaches Flash as well!

Goodnight!
Sara

View 3D with your iPhone

Hi,

I've been gone so long! I decided to post interesting web sites, people, products as I find them that are related to my math project.

For today, there's a 3D viewer that attaches to your iPhone or iPod that gives you stereoscopic vision! http://www.hasbro.com/hasbromy3d/en_US/

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For developers:

"Are you interested in developing your own custom apps for Hasbro's MY3D viewer?

You've come to the right spot.

We will be releasing a MY3D SDK! " Yay!