Planarity game
http://www.planarity.net/
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http://www.oilpulling.com/
Friday, September 28, 2007
Wednesday, September 26, 2007
Math For Smarty Pants Fishbowl #1
If you are reading Math For Smarty Pants, you can comment in this post :)
A Whole New Mind Fishbowl #1
A fishbowl is a place to share ideas and opinions. Comment about A Whole New Mind in this post.
Due Sunday 9/30 5:00
Have fun with the following:
You can read and comment on what others write but at the end write your own answer.
1. Read the first chapter of Daniel Pinks book and write in the new post that will be created
2. Start SeeLogo Type in command line: NEW A
the copy and paste into the editor:
SIZE 3 [STARSK 1 5 STARSK 2 5]
Describe the picture you see.
3. In the picture that you created are many triangles. How many can you find? How can you be sure you are right and that are no more?
4. If you change the number 3 to 2 in the command above (and click Redraw) in what way does the picture change? Give a logical explanation
5. type NEW B
Then Paste into the editor and Redraw (Wait 2 means to wait 2 seconds)
STARSK 1 7
WAIT 2
STARSK 2 7
WAIT 2
STARSK 3 7
click redraw several times until you get a feeling of understanding or until you are tired and write down an explanation to what happened
6. What are the values of X and Y that make this picture in STARSK X Y
You can read and comment on what others write but at the end write your own answer.
1. Read the first chapter of Daniel Pinks book and write in the new post that will be created
2. Start SeeLogo Type in command line: NEW A
the copy and paste into the editor:
SIZE 3 [STARSK 1 5 STARSK 2 5]
Describe the picture you see.
3. In the picture that you created are many triangles. How many can you find? How can you be sure you are right and that are no more?
4. If you change the number 3 to 2 in the command above (and click Redraw) in what way does the picture change? Give a logical explanation
5. type NEW B
Then Paste into the editor and Redraw (Wait 2 means to wait 2 seconds)
STARSK 1 7
WAIT 2
STARSK 2 7
WAIT 2
STARSK 3 7
click redraw several times until you get a feeling of understanding or until you are tired and write down an explanation to what happened
6. What are the values of X and Y that make this picture in STARSK X Y
Tuesday, September 25, 2007
A movie about fractals
One aspect of the class is to learn about Fractals and Ed emailed me an article about a movie that that Cornell students Created. I am posting the article as the first response to this and the link to the movie is:
http://animationhistory.blogspot.com/
http://animationhistory.blogspot.com/
Wednesday, September 19, 2007
A Journey Towards Infinity. First Step 9/19/07
I am asking that you respond to this blog before Sunday at 5:00
A journey towards Infinity.
Discovering the connection between two magic numbers: Pi and Phi
The numbers Pi and Phi captured the imagination of humanity for thousands of years and it still does. The wikepedia http://en.wikipedia.org/wiki/Pi has some fascinating information about the history of Pi and various approximations to it.
So why is Pi so captivating so many people? Every one can answer this question in his own way. As for me, Mathematics is an art form like music and one cannot explain logically why we enjoy a certain piece of music so much. Still, just like one can approximate Pi and come closer and closer to it, one can approximate the answer and it will be interesting to read your answer to this question:
Another number that captivated the imagination of humans for centuries is the number Phi (Pi with h in the middle). This number is also called the golden mean or the golden Ratio and the Wikipedia has a full explanation for it.
See: http://en.wikipedia.org/wiki/Golden_ratio
What I want to share with you here is something most beautiful that most people in the world do not know yet and this a sacred connection between these two numbers.
In order to understand this I want you to be able to go through a series of seemingly technical steps but gradually create meaning out of them. This process could be slow and a little frustrating and the one thing that can help you keep going is the knowledge that at the end of this journey you will see and feel something most beautiful, divine and sacred. I hope you want to join me in this adventure.
Here are some technical preliminary exercises:
1. What is Pi? and What is Phi (you can read in Wikipedia but write your own understanding)
2. Why are Pi and Phi so captivating?
3. Down Load SeeLogo and paste the following program and play with it by changing the value of x from 6 to 7,8,9,10,11... and also the value of y to different numbers. We will explain the program in class but I want you understand it and to explain it in your own words. It may be very frustrating at the beginning but if this happens it is a good sign and not a bad one.
LOCAL X Y
X=8 Y=3
REPEAT X [FD 40 RT 360/X]
RT 90 FD 40*X/Y
A journey towards Infinity.
Discovering the connection between two magic numbers: Pi and Phi
The numbers Pi and Phi captured the imagination of humanity for thousands of years and it still does. The wikepedia http://en.wikipedia.org/wiki/Pi has some fascinating information about the history of Pi and various approximations to it.
So why is Pi so captivating so many people? Every one can answer this question in his own way. As for me, Mathematics is an art form like music and one cannot explain logically why we enjoy a certain piece of music so much. Still, just like one can approximate Pi and come closer and closer to it, one can approximate the answer and it will be interesting to read your answer to this question:
Another number that captivated the imagination of humans for centuries is the number Phi (Pi with h in the middle). This number is also called the golden mean or the golden Ratio and the Wikipedia has a full explanation for it.
See: http://en.wikipedia.org/wiki/Golden_ratio
What I want to share with you here is something most beautiful that most people in the world do not know yet and this a sacred connection between these two numbers.
In order to understand this I want you to be able to go through a series of seemingly technical steps but gradually create meaning out of them. This process could be slow and a little frustrating and the one thing that can help you keep going is the knowledge that at the end of this journey you will see and feel something most beautiful, divine and sacred. I hope you want to join me in this adventure.
Here are some technical preliminary exercises:
1. What is Pi? and What is Phi (you can read in Wikipedia but write your own understanding)
2. Why are Pi and Phi so captivating?
3. Down Load SeeLogo and paste the following program and play with it by changing the value of x from 6 to 7,8,9,10,11... and also the value of y to different numbers. We will explain the program in class but I want you understand it and to explain it in your own words. It may be very frustrating at the beginning but if this happens it is a good sign and not a bad one.
LOCAL X Y
X=8 Y=3
REPEAT X [FD 40 RT 360/X]
RT 90 FD 40*X/Y
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