http://malini-math.blogspot.in/2010/08/maths-and-nature.html
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 examples 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 examples 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.
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