# My new mathematical cartoons (related to simplification)

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I wrote a system that could display a process of simplification of a
math formula as an animation/cartoon. It is targeted towards children.

Example is at

http://www.algebra.com/services/rendering/regression.mpl

Check out second to last image, it is a cartoon of how to simplify

(x^2-y^2)/(x-2)/(x-y)

You can see it directly at

http://tinyurl.com/87x4h

The idea is that it will be used for my free tutoring system. Any
tutor explaining a math problem or writing a lesson, could easily
write a simple expression that would draw a "math cartoon". It is
working, actually.

In the case of the above cartoon, it could be defined as

cartoon(
(x^2-y^2)/(x+2)/(x+y),
(x+y)*(x-y)/(x+2)/(x+y),
highlight((x+y))*(x-y)/(x+2)/highlight((x+y)),
cross((x+y))*(x-y)/(x+2)/cross((x+y)),
highlight( (x-y)/(x+2) )
)

As I said, it already works. Some feedback will be appreciated. I am
chromatographically challenged and will appreciate feedback on color
selection etc.

This will, eventually, be a part of the simplifier that I am writing,
but right now it will be used by humans solving problems manually and
wanting their solution to be fun and good looking.

thanks

i

## Re: My new mathematical cartoons (related to simplification)

Here's a bigger example,

http://tinyurl.com/ahs58

it is about simplifying a big expression

((X^2+3x-10)/(6X^2-24)) / ((X^2+X-20)/(X^2+3X+2)) / ((x^2-1)/6)

i

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## Re: My new mathematical cartoons (related to simplification)

I was redirected to algebra.com from tinyurl. It goes by too fast for my
old eyes. I would suggest the original problem and an explanation of
factoring, and the next step and an explanation of further factoring and
the next step... Probably with a next button to trigger the next step.
Fascinating though. It's certainly a proof of concept that's worth
further development.

leo

--
<http://web0.greatbasin.net/~leo /

## Re: My new mathematical cartoons (related to simplification)

Thanks. Yes, I will soon add different methods of presentation.

i

## Re: My new mathematical cartoons (related to simplification)

It's a nice-looking little animation, but I couldn't tell how you got
from the original expression to the first step. The easy part comes
after that, so I'd say it appears to be missing the hardest part.

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Red

## Re: My new mathematical cartoons (related to simplification)

Red, the second to last one is now a different cartoon. :) Sorry for
the confusion.

i
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## Re: My new mathematical cartoons (related to simplification)

Hey, I'm still confused, but that's because I suck at algebra.
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Red