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THE BEAUTY OF MATHEMATICS- Collected from The Internet and Various Books to enrich The students and Teachers. SUPPORT with YOUR COMMENTS ...

Monday, August 30, 2010

MATHS AND NATURE

"The laws of nature are but the mathematical thoughts of God"
                                                                                      - Euclid

Mathematics is everywhere in this universe. We seldom note it. We enjoy nature and are not interested in going deep about what mathematical idea is in it. Here are a very few properties of mathematics that are depicted  in nature.
SYMMETRY

Symmetry is everywhere you look in nature .

Symmetry is when a figure has two sides that are mirror images of one another. It would then be possible to draw a line through a picture of the object and along either side the image would look exactly the same. This line would be called a line of symmetry.

There are two kinds of symmetry.

One is bilateral symmetry in which an object has two sides that are mirror images of each other.

The human body would be an excellent example of a living being that has bilateral symmetry.




Few more pictures in nature showing bilateral symmetry.










The other kind of symmetry is radial symmetry. This is where there is a center point and numerous lines of symmetry could be drawn.

The most obvious geometric example would be a circle.



Few more pictures in nature showing radial symmetry.























SHAPES

Geometry is the branch of mathematics  that describes shapes.

Sphere:

A sphere  is a perfectly round geometrical object in three-dimensional space, such as the shape of a round ball.

The shape of the Earth is very close to that of an oblate spheroid, a sphere flattened along the axis from pole to pole such that there is a bulge around the equator.






















Hexagons:

Hexagons are six-sided polygons, closed, 2-dimensional, many-sided figures with straight edges.

 
For a beehive, close packing is important to maximise the use of space. Hexagons fit most closely together without any gaps; so hexagonal wax cells are what bees create to store their eggs and larvae.
















Cones:

A cone is a three-dimensional geometric shape that tapers smoothly from a flat, usually circular base to a point called the apex or vertex.

Volcanoes form cones, the steepness and height of which depends on the runniness (viscosity) of the lava. Fast, runny lava forms flatter cones; thick, viscous lava forms steep-sided cones.















Few more cones in nature:

































Parallel lines:

In mathematics, parallel lines stretch to infinity, neither converging nor diverging.

These parallel dunes in the Australian desert aren't perfect - the physical world rarely is.

















Fibonacci spiral:

If you construct a series of squares with lengths equal to the Fibonacci numbers (1,1,2,3,5, etc) and trace a line through the diagonals of each square, it forms a Fibonacci spiral.

Many examples of the Fibonacci spiral can be seen in nature, including in the chambers of a nautilus shell.




 
 
 
 
 
 
 
 
 
 
 
 

61 comments:

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    ReplyDelete
    Replies
    1. helped my project to thx alot!

      Delete
  2. two best friends are maths nd nature!!!!!!!!!

    ReplyDelete
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    ReplyDelete
    Replies
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      Delete
    2. Hehehe seriously.. What else do u want? its srsly AWESOME ! :p

      Delete
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  27. The Beauty of Mathematics and the Love of God! This is TOO cool!
    Just the math part is good enough, the end is even better.
    Beauty of Mathematics!!!!!!!

    1 x 8 + 1 = 9
    12 x 8 + 2 = 98
    123 x 8 + 3 = 987
    1234 x 8 + 4 = 9876
    12345 x 8 + 5 = 98765
    123456 x 8 + 6 = 987654
    1234567 x 8 + 7 = 9876543
    12345678 x 8 + 8 = 98765432
    123456789 x 8 + 9 = 987654321

    1 x 9 + 2 = 11
    12 x 9 + 3 = 111
    123 x 9 + 4 = 1111
    1234 x 9 + 5 = 11111
    12345 x 9 + 6 = 111111
    123456 x 9 + 7 = 1111111
    1234567 x 9 + 8 = 11111111
    12345678 x 9 + 9 = 111111111
    123456789 x 9 +10= 1111111111

    9 x 9 + 7 = 88
    98 x 9 + 6 = 888
    987 x 9 + 5 = 8888
    9876 x 9 + 4 = 88888
    98765 x 9 + 3 = 888888
    987654 x 9 + 2 = 8888888
    9876543 x 9 + 1 = 88888888
    98765432 x 9 + 0 = 888888888

    Brilliant, isn't it?

    And look at this symmetry:

    1 x 1 = 1
    11 x 11 = 121
    111 x 111 = 12321
    1111 x 1111 = 1234321
    11111 x 11111 = 123454321
    111111 x 111111 = 12345654321
    1111111 x 1111111 = 1234567654321
    11111111 x 11111111 = 123456787654321
    111111111 x 111111111 = 12345678987654321

    Mind Boggling...

    Now, take a look at this...

    101%
    From a strictly mathematical viewpoint:


    What Equals 100%?

    What does it mean to give MORE than 100%?

    Ever wonder about those people who say they
    are giving more than 100%?

    We have all been in situations where someone wants you to

    GIVE OVER 100%...

    How about ACHIEVING 101%?

    What equals 100% in life?

    Here's a little mathematical formula that might help
    answer these questions:

    If:
    A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

    Is represented as:
    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26.

    Then:
    H-A-R-D-W-O-R-K

    8+1+18+4+23+15+18+11 = 98%

    And:

    K-N-O-W-L-E-D-G-E

    11+14+15+23+12+5+4+7+5 = 96%

    But:
    A-T-T-I-T-U-D-E
    1+20+20+9+20+21+4+5 = 100%

    THEN, look how far the love of God will take you:


    L-O-V-E-O-F-G-O-D

    12+15+22+5+15+ 6+7+15+4 = 101%

    Therefore, one can conclude with mathematical certainty that:

    While Hard Work and Knowledge will get you close, and Attitude will
    get you there, It's the Love of God that will put you over the top!

    Have a nice day!

    ReplyDelete
    Replies
    1. Thanks for sharing How about ACHIEVING 101%?

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    2. amazing facts both by u and this website

      Delete
  28. you are jus amazing!! this is exctly wt i neeeded fr my maths assignmnt

    ReplyDelete
  29. I HATE MATH....
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    ReplyDelete
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