MATHS In DIfferent Fields

Golden Ratio

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. The figure on the right illustrates the geometric relationship. Expressed algebraically, for quantities a and b with a > b,

Symbol for Golden Ration is

When we divide a line into two parts so that:

the longer part divided by the smaller part

is also equal to

the whole length divided by the longer part

then we have the golden ratio.

In Architecture

Pyramids and temples were some of the earliest examples of mathematical principles at work. Today, math continues to feature prominently in building design.

Thanks to modern technology, architects can explore a variety of exciting design options based on complex mathematical languages, allowing them to build groundbreaking forms.

The temple is a mound-like shape known as a stupa — similar to a pagoda — and contains a central spire where Buddhists congregate.

Maths in Sports

Although not always realized, mathematics plays a very important role in sports. Whether discussing a players statistics, a coaches formula for drafting certain players, or even a judges score for a particular athlete, mathematics are involved. Even concepts such as the likelihood of a particular athlete or team winning, a mere case of probability, and maintain equipment are mathematical in nature.

Maths in Nature

For example Maths used in cricket

A beehive is made up of many hexagons packed together.

Why hexagons? Not squares or triangles?

Hexagons fit most closely together without any gaps, so they are an ideal shape to maximise the available space.

• In mathematics, the Fibonacci numbers or Fibonacci sequence are the numbers in the following integer sequence

In Islamic Art

The ratio of consecutive numbers in the Fibonacci sequence approaches a number known as the golden ratio, or phi (1.618033989). Phi is often found in nature. A Golden Spiral formed in a manner similar to the Fibonacci spiral can be found by tracing the seeds of a sunflower from the centre outwards.

Islamic art explores the geometric systems that depend upon the regular division of the circle and the study of Islamic art increases appreciation and understanding of geometry. The use of these geometric systems creates a harmony among Islamic decorative arts and architecture, which is consistent with the Islamic belief that all creation is harmoniously interrelated.

Some examples of the complex symmetries used in Islamic temple decoration

In geometry, Medieval Islamic art from the 15th century intuitively echoed principles of quasicrytalline geometry, which were discovered 500 years later. The art uses symmetric polygonal shapes to create patterns that, without leaving gaps, can continue indefinitely without repeating its pattern, in a way that can be directly compared to what are now considered quasi-crystals. It was previously thought Islamic design was done with straightedge rulers and compasses

Maths

Mathematics is involved in some way in every field of study known to mankind. In fact, it could be argued that mathematics is involved in some way in everything that exists everywhere, or even everything that is imagined to exist in any conceivable reality. Any possible or imagined situation that has any relationship whatsoever to space, time, or thought would also involve mathematics.

MATHS In DIfferent Fields

by Taha Shakil , Mansoor Hatimi, Raashid Ramzeen , andEthan Bhamra