Name: Anonymous 2013-05-05 22:10
Spiralling Around
Have you ever wondered what a spiral is in mathematical terms?
In Mathematics, a spiral is a special curve. This curve starts at a point, and then goes around this point, but gets further and further away from its centre.
Here are some examples of spirals:
Let's take a look at some important spirals.
An Archimedean Spiral
The Archimedean Spiral starts in the centre and makes a curve with three rounds. The distances between the spiral branches are the same.
Fermat's Spiral
The Fermat's Spiral is a kind of Archimedean Spiral, also called the Parabolic Spiral.
Euler's Spiral
The Euler's Spiral is a beautiful and useful curve also known as the Clothoid and Cornu Spiral.
Let's find out how we can create a spiral using these squares!
Let's start by getting a piece of graph paper.
1. Now, begin with a drawing of a single square!
2. Then add another square of the same size to form a rectangle with dimensions 2 units by 1 unit.
3. Now add a 2-unit square. We will have a rectangle that is 2 units by 3 units.
4. We shall now add a 3-unit square and it will result in a rectangle that is 5 units by 3 units.
Keep adding squares of different lengths till no more squares can be added.
Now, we will complete our spiral.
1. Using freehand or a compass, draw an arc in the first square with radius of 1 unit.
2. Add another arc for the second square with radius of 2 units.
3. Add another arc for the second square with radius of 3 units.
4. Add another arc for the second square with radius of 5 units.
5. Add another arc for the second square with radius of 8 units.
6. Add another arc for the second square with radius of 13 units.
7. Finally, add another arc for the second square with radius of 21 units.
Yes! Spirals are really cool! Do you know that we can actually find all these beautiful spirals in nature?
"Look at these intriguing spirals! Aren't they mind-blowing?"
"Can you imagine that even in outer space we still have spirals!"
"Wow! That's amazing!"
"If we take time to slow down, observe and explore, I'm sure we can discover lots of mathematical beauty everywhere!"
"Let's spend time to discover the beauty in this wonderful world of ours!"
Have you ever wondered what a spiral is in mathematical terms?
In Mathematics, a spiral is a special curve. This curve starts at a point, and then goes around this point, but gets further and further away from its centre.
Here are some examples of spirals:
Let's take a look at some important spirals.
An Archimedean Spiral
The Archimedean Spiral starts in the centre and makes a curve with three rounds. The distances between the spiral branches are the same.
Fermat's Spiral
The Fermat's Spiral is a kind of Archimedean Spiral, also called the Parabolic Spiral.
Euler's Spiral
The Euler's Spiral is a beautiful and useful curve also known as the Clothoid and Cornu Spiral.
Let's find out how we can create a spiral using these squares!
Let's start by getting a piece of graph paper.
1. Now, begin with a drawing of a single square!
2. Then add another square of the same size to form a rectangle with dimensions 2 units by 1 unit.
3. Now add a 2-unit square. We will have a rectangle that is 2 units by 3 units.
4. We shall now add a 3-unit square and it will result in a rectangle that is 5 units by 3 units.
Keep adding squares of different lengths till no more squares can be added.
Now, we will complete our spiral.
1. Using freehand or a compass, draw an arc in the first square with radius of 1 unit.
2. Add another arc for the second square with radius of 2 units.
3. Add another arc for the second square with radius of 3 units.
4. Add another arc for the second square with radius of 5 units.
5. Add another arc for the second square with radius of 8 units.
6. Add another arc for the second square with radius of 13 units.
7. Finally, add another arc for the second square with radius of 21 units.
Yes! Spirals are really cool! Do you know that we can actually find all these beautiful spirals in nature?
"Look at these intriguing spirals! Aren't they mind-blowing?"
"Can you imagine that even in outer space we still have spirals!"
"Wow! That's amazing!"
"If we take time to slow down, observe and explore, I'm sure we can discover lots of mathematical beauty everywhere!"
"Let's spend time to discover the beauty in this wonderful world of ours!"