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Raphael's Parametric Problem of Awesomeness
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Due to the outrageous amount of time it takes to load my page, I've decided to remove some of the older posts, and keep only 3 wiki-problems at a time. Please do not be alarmed.


Miscellaneous


This is by the best musical duo of all of history, Flight of the Conchords.
A song for what's wrong with the world today:
Think About It


I'll be compiling quotes from Simpson's episodes and The Office episodes throughout the rest of the year:
The Simpsons:
Homer: When I held that gun in my hand, I felt a surge of power…like God must feel when he’s holding a gun.

Superintendent Chalmers: “Thank the Lord”? That sounded like a prayer. A prayer in a public school. God has no place within these walls, just like facts don’t have a place within an organized religion. (No offense to the general public of internet, that is to say you)

Ralph Wiggum:"Me fail English? That’s unpossible!"

The Office
Best Jim-Dwight Conversation:
Jim: Question. What kind of bear is best?
Dwight: That's a ridiculous question.
J: False. Black bear
D: That's debatable. There are basically two schools of thought-
J: Fact. Bears eat beets. Bears. Beets. Battlestar Galactica.
D: Bears do not... What is going on? What are you doing!


Dwight: Why tip someone for a job I'm capable of doing myself? I can deliver food. I can drive a taxi. I can, and do, cut my own hair. I did however, tip my urologist, because I am unable to pulverize my own kidney stones.
This one's a bit long but,
Angela: You know this is a luncheon shower. Girls only.
Micheal: No problem. The guys are having a little thing of their own in the warehouse. From 2:30 to 3:15. That is the only time that Bob was available. Sort of a guys' night out. A 'G-N-O' if you will. A 'gno.' Actually it's more of a guys' afternoon in. A G-A-I. A gay. Not-- not... it's uh, not gay. It's, uh, just uh, it's a bridal shower for guys. A guy shower. An hour long shower with guys...

I can't remember the exact line but:
(Signing up for a dating website and deciding he is getting old and would like kids soon).
Micheal: hmm I need a username, oh I know, LittleKidLover. That way they know exactly what I want.





Problems
Page 19, Problem 9:



Quadrilateral Proof:
Not Audio Free, but simple.




This is the Winter Project which I admit putting it up late. :/
Applet: (Feel free to input more combinations to enjoy the full feel of Geogebra's imaginary capacities).


And here is the video on how to make this:






This is the Screencast that goes along with the pictures below:

It took me a while to understand 3D Geogebra for its lack of user-friendly interface, and so this is a series of rather unambitious cube photos:
We can infer that the lines made from points of the opposite diagonals intersect all at the same point and maybe also the midpoint of the planes of the cube if that makes sense...
cube.JPG cube2.JPG
cube4.JPG cube3.JPG




Challenge #3
Enjoy my animation...

Sequence[(x - A)³, A, -3, a]
Sequence[-(x - A)³, A, -3, a]
Sequence[-(x - A)¹ / 3, A, -3, a]
Sequence[(x - A)¹ / 3, A, -3, a]

I had a different idea in the beginning but my mistake worked in my favor :