Fractal Pancakes- Mathematics and Art

I thought I've seen it all until I stumbled upon Nathan Shields blog (www.10minutemath.com). Mr.Smith has outdone himself, well at least I think so, with the following fractal pancakes. They look too good to eat (mathematically delicious). I thinks its amazing how he is able to connect such an art form to math and the real world. His creative talent with these stunning fractal art works gives us a way to explore the visualization of mathematics:

"Lorenz Attractor," a pancake by Nathan Shields (www.10minutemath.com)A Lorenz attractor comes from a system of three differential equations created to model convection in the atmosphere, and frequently used to show the sensitivity of a chaotic system to initial conditions. For another chaotic system, invite your kids to help design the pancakes. To see about making your own fractal pancakes, as well as other topics I find interesting as a math teacher, check out my blog. --- Nathan Shields (www.10minutemath.com

"Mandelbrot Set," a pancake by Nathan Shields (www.10minutemath.com)The Mandelbrot Set, which is one of the tastiest fractals, is the collection of points c on the complex plane which allow the iterated transformation z = z² + c to remain within a given threshold. I've always been awestruck by the infinite complexity that springs from that simple equation. To see about making your own fractal pancakes, as well as other topics I find interesting as a math teacher, check out my blog. --- Nathan Shields

(www.10minutemath.com)

;

(www.10minutemath.com)A Sierpinski triangle is a fractal, a structure that displays self-similarity at various scales. This fractal is created by recursively removing triangular pieces from the structure indefinitely - of course, the pancake isn't very hearty if you really do this, but you get the idea. To see about making your own fractal pancakes, as well as other topics I find interesting as a math teacher, check out my blog. --- Nathan Shields (www.10minutemath.com)
 

  "Pythagorean Tree," a pancake by Nathan Shields (www.10minutemath.com)This fractal, like many others, is fun to doodle at faculty meetings. Here, each triple of touching squares encloses a right triangle in a traditional visualization of the Pythagorean Theorem. To see about making your own fractal pancakes, as well as other topics I find interesting as a math teacher, check out my blog. --- Nathan Shields (www.10minutemath.com)

 

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Notes

Figure This Challenge #56

  • Complete Solution will be given on May 17, 2015

Complete Solution:

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Created by Wanda Collins May 10, 2015 at 1:56pm. Last updated by Wanda Collins May 10, 2015.

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Fun Math Facts:

Math Limerick

Question: Why is this a mathematical limerick?

( (12 + 144 + 20 + 3 Sqrt[4]) / 7 ) + 5*11 = 92 + 0 .

Answer:

A dozen, a gross, and a score,
plus three times the square root of four, divided by seven, plus five times eleven, is nine squared and not a bit more.

---Jon Saxton (math textbook author)

Presentation Suggestions:
Challenge students to invent their own math limerick!

The Math Behind the Fact:
It is fun to mix mathematics with poetry.

Resources:

Su, Francis E., et al. "Math Limerick." Math Fun Facts.

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