Mathematics: all classes: 1. period: 1.2.6

[charlieeppes.livejournal.com]

Charlie is busy writing on the blackboards. There's a lot of numbers and symbols up already and from time to time he frowns and erases something, adding something else.


Beginners:
You get sheets of paper and colouring pens and the choice between doing the T-Rex exercise or the Diplodocus exercise.

Intermediates:
A 100 words on Mathematical Beauty or Mathematics and Art.

Advanced:
Do the Census problem.

Comments

Sign in

[charlieeppes.livejournal.com]

Breakfast!

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[chasingangela]

Angela signs in.

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[bruiser-in-pink.livejournal.com]

Molly signed in.

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[cameronmitchell.livejournal.com]

Cameron signs in.

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[anole-x.livejournal.com]

Victor signs in and has some food. Cuz food is good, yo.

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[strongestgirl.livejournal.com]

Pippi signs in.

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[kikidelivers.livejournal.com]

[Kiki is not in class in the morning, but at some point, she'll find him during his office hours.]

Re: Sign in

[walter-n-wires.livejournal.com]

Walter signs in and grabs some breakfast. It's the most important meal of the day, right?

Re: Advanced

[http://users.livejournal.com/susan_death_/]

Susan signs in

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[cyclopeanmerc.livejournal.com]

Pip signs in.

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[dorky-broots.livejournal.com]

Broots signs in.

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[apocalypsesoon.livejournal.com]

John signs in. He's running a bit late and doesn't have time to steal food.

Re: Sign in

[mycanonhatesme]

Chloe signs in.

Beginners

[charlieeppes.livejournal.com]

Paper and pens here.

Re: Beginners

[bruiser-in-pink.livejournal.com]

Molly took enough paper to draw both and several colored pens.

Re: Beginners

[strongestgirl.livejournal.com]

Pippi is quite fond of puzzles and connecting dots. She makes both dinos and a few other animals as well. (Monkey, Horse, Bird...)

Who (besides Barbie) says Math is hard?

Re: Beginners

[cyclopeanmerc.livejournal.com]

"Err.. sir? My right arm is in a sling. And I'm right handed. What do you want me to do?"

Re: Beginners

[anole-x.livejournal.com]

Victor decided to draw a Diplodocus. He did an alright job at it, too.

Intermediates

[charlieeppes.livejournal.com]

Things that are pretty.

Re: Intermediates

[chasingangela]

Angela turns in 100 cribbed from Wiki words:

Many mathematicians find a philosophical beauty in math. For example, Galileo Galilei said "Mathematics is the language with which God wrote the universe.” This is an example of the belief that mathematics has more in common with discovery than with invention. Mathematicians who share this belief say that the detailed and precise results of mathematics can be seen as true without dependence on the universe we live in. For example, they would argue that the theory of the natural numbers is absolutely true and does not need any specific context. Some mathematicians have extrapolated this viewpoint that mathematical beauty is truth further, in some cases delving into mysticism.

Re: Intermediates

[walter-n-wires.livejournal.com]

Walter turned in a small, slightly longer than expected report cribbed shamelessly from here (http://www.mathacademy.com/pr/minitext/escher/index.asp):

Maurits Cornelis Escher, who was born in Leeuwarden, Holland in 1898, created unique and fascinating works of art that explore and exhibit a wide range of mathematical ideas.

While he was still in school his family planned for him to follow his father's career of architecture, but poor grades and an aptitude for drawing and design eventually led him to a career in the graphic arts. His work went almost unnoticed until the 1950’s, but by 1956 he had given his first important exhibition, was written up in Time magazine, and acquired a world-wide reputation. Among his greatest admirers were mathematicians, who recognized in his work an extraordinary visualization of mathematical principles. This was the more remarkable in that Escher had no formal mathematics training beyond secondary school.

As his work developed, he drew great inspiration from the mathematical ideas he read about, often working directly from structures in plane and projective geometry, and eventually capturing the essence of non-Euclidean geometries, as we will see below. He was also fascinated with paradox and "impossible" figures, and used an idea of Roger Penrose’s to develop many intriguing works of art. Thus, for the student of mathematics, Escher’s work encompasses two broad areas: the geometry of space, and what we may call the logic of space.

Re: Intermediates

[apocalypsesoon.livejournal.com]

John cribs something together regarding spiral patterns in nature (nautilus) and reflected in art.

It does not mention time travel.

Re: Intermediates

[mycanonhatesme]

"Mathematics and art have a long historical relationship. The ancient Egyptians and ancient Greeks knew about the golden ratio, regarded as an aesthetically pleasing ratio, and incorporated it into the design of monuments including the Great Pyramid, the Parthenon, the Colosseum. The golden ratio is used in the design and layout of paintings such as The Roses of Heliogabalus. Recent studies show that the golden ratio also plays a role in the human perception of beauty in body shapes and faces. Some of Escher's tessellation drawings were inspired by conversations with the mathematician H. S. M. Coxeter concerning hyperbolic geometry."

Advanced

[charlieeppes.livejournal.com]

things that are complicated.

Re: Advanced

[http://users.livejournal.com/susan_death_/]

Susan does the problem easily, and sits back with a frown to examine the equations on the board.

Talk to Charlie

[charlieeppes.livejournal.com]

...or wait until tomorrow when the mun is awake Charlie's less busy, and will be holding office hours to make up for the Tuesdays he's missed.

Re: Talk to Charlie

[strongestgirl.livejournal.com]

Pippi asks Charlie for the equasion to figure out how many angels can dance the schottische on the head of a pen.


((Yes, she says pen, this is math, not theology!))