Uses of Quadrilateral in our life

Uses of Quadrilateral in our life:-
a) In architecture quadrilateral are the most common shape used in architecture. Triangles and quadrilaterals can both make amazing shapes. Here is an architectural design of a house and as you can see that in involves only the use of different shapes of quadrilaterals.

b) The vast majority of properties are bounded by quadrilaterals. Nearly all papers and magazines are quadrilateral, as the footprints of most boxes, the shapes of many rooms, the walls of all houses and the floor in most of the cases are in in shape of quadrilaterals. A general quadrilateral with all sides of different lengths and no parallel sides may not be suitable for such tiling when it is repeated. We tend to use/choose those shapes that are suitable for packing and tiling. The use of golden triangle is evident in the construction of the pyramid. The value of Golden number is 1.618033989 and an angle based on this will have size arc sec (1.618033989) = 510 50’ and the sides of Pyramid rises at an angle of 510 52’. The second interesting part of pyramid is about its perimeter that is 365.24 the number of days in the year. The famous Parathenon temple in Athenes have also been based on the theory of Golden rectangle.

c) Diagonal of a rectangle divides it into two congruent triangles and the idea of congruency especially in triangles had been used by Egyptians to build The Great Pyramids of Giza
The idea of congruency of triangles initially from diagonal of quadrilaterals also helped Leonardo Da Vinci to paint the world famous 'Monalisa'!!!!! The Monaslisha painting is of dimension 73 cm x 53 cms which is obviously a rectangular shape. Some mathematicians believe that the Leonardo da Vinci used the principle of Golden rectangle while painting Monalisa. A group of researcher from University of California, San Diego and the University of Toronto discovered that the distance between a wonan’s eyes and the distance between her eyes and her mouth are the key factors in determining how attractive she is to others and this ratio is nothing but the Golden ratio discussed above.

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So enjoy reading

Dr Rajesh Kumar Thakur
rkthakur1974@gmail.com