Download mathematics assignment

MATHEMATICS ASSIGNMENT
Name of Student Teacher: Needhu William
Candidate Code: 180 14 385 012
Year: 2014-2015
Mathematical Aspects
found in
Environmental
Phenomena
Contents
•INTRODUCTION
•CONGRUENCE
•SIMILARITY
•RATIO AND PROPORTION
•GEOMETRIC SHAPES
•SYMMETRIC PROPERTY
•CONCLUSION
•REFERENCES
"The laws of nature are
but the mathematical
thoughts of God.”
- Euclid
INTRODUCTION
Mathematics is the science that deals with the
logic of shape, quantity and arrangement. Math
is all around us, in everything we do. It is the
building block for everything in our daily lives,
including mobile devices, architecture (ancient
and modern), art, money, engineering, and even
sports.
Mathematics reveals hidden patterns that help
us understand the world around us. Now much
more than arithmetic and geometry,
mathematics today is a diverse discipline that
deals with data, measurements, and
observations from science; with inference,
deduction, and proof; and with mathematical
models of natural phenomena, of human
behavior, and of social systems.
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
environment.
CONGRUENCE
If two figures have the same shape and
the same size, then they are said to
be congruent figures. Congruent figures
are exact duplicates of each other. One
could be fitted over the other so that
their corresponding parts coincide. The
concept of congruent figures applies to
figures of any type.
Congruent
Buildings
A pile of coins
of same shape and
size …
SIMILARITY
In math, similar figures are figures that are of
the same shape, but not necessarily the same
size.
Similar
Pyramids
Similar
Butterflies
RATIO AND
PROPORTION
A ratio is one thing compared to or related to
another thing; it is just a statement or an
expression.
A proportion is two ratios that have been set
equal to each other; a proportion is an equation
that can be solved.
Examples of Golden Ratio
GEOMETRIC SHAPES
The term "geometric shape" refers to any
shape that remains virtually unchanged if it is
moved around, flipped or reflected off of a
surface. When manipulated, a geometric
shape does not create a new shape; it remains
intact.
As human beings, we have been fascinated
with geometrical shapes since the first record
of our existence; a fascination that translates
into how we live, where we live, and even
whom we live with.
SYMMETRIC PROPERTY
Symmetry comes from a Greek word meaning
'to measure together' and is widely used in the
study of geometry.
Mathematically, symmetry means that one
shape becomes exactly like another when you
move it in some way: turn, flip or slide. For two
objects to be symmetrical, they must be the
same size and shape, with one object having a
different orientation from the first.
Sunflowers boast radial symmetry and an
interesting type of numerical symmetry known
as the Fibonacci sequence. The Fibonacci sequence
is 1,1, 2, 3, 5, 8, 13,…
Most animals have bilateral symmetry—which
means that they can be split into two matching
halves, if they are evenly divided down a center
line. One perfect example is Peacock’s feather.
Most snowflakes exhibit sixfold radial symmetry with
elaborate, identical patterns
on each of its arms.
CONCLUSION
From rainbows, river meanders, and
shadows to spider webs, honeycombs,
and the markings on animal coats, the
visible world is full of patterns that can
be described mathematically. As we
discover more and more about our
environment and our surroundings we
see that nature can be described
mathematically.
REFERENCES
http://www.slideshare.net/sagarian/maths-innature-complete
http://study.com/academy/lesson/what-issymmetry-in-math-definition-lesson-quiz.html
http://listverse.com/2013/04/21/10-beautifulexamples-of-symmetry-in-nature/