Geometry is applied in many aspects of everyday life. It can be seen in nature in the shapes of leaves, flowers, and snowflakes. Technology also relies on geometric concepts, as computer programming, video games, and robotics all use geometry. The design of homes, from furniture to decorations, incorporates different geometric shapes and patterns. Architecture also has strong ties to geometry, as buildings are designed based on principles of symmetry, proportion, and angles.

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Application of
Geometry in Day
to Day Life
A u t h o r e d b y : P r a t y u s h S i n g h
C l a s s a n d R o l l n u m b e r : 1 0 C - 2 4
S c h o o l : T h e A a d i t y a B i r l a P u b l i c S c h o o l
S u b m i t t e d t o : M r. J a y e s h P a t e l
S u b j e c t : M a t h e m a t i c s

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Learning Outcomes
• S t u d e n t s l e a r n t a b o u t t h e d a i l y a p p l i c a t i o n o f
g e o m e t r y i n t h e i r d a y t o d a y l i f e
• S t u d e n t s l e a r n t a b o u t m a n y o t h e r a s p e c t s o f
e n g i n e e r i n g a n d d e s i g n
• S t u d e n t s w o u l d b e e n c o u r a g e d t o e x p l o r e
g e o m e t r y b e y o n d t h e i r i m a g i n a t i o n

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Nature
The most important example of geometry in everyday life is formed by
the nature surrounding humans. If one looks closely, one might find
different geometrical shapes and patterns in leaves, flowers, stems,
roots, bark, and the list goes on. The organisation of the human
digestive system as a tube within a tube also ascertains the role of
geometry. The leaves on the trees are of varying shapes, sizes, and
symmetries. Different fruits and vegetables have different geometrical
shapes; take the example of orange, it is a sphere and after peeling it,
one might notice how the individual slices form the perfect sphere.
Looking closely at a honeycomb, one will see hexagonal patterns
arranged tandemly. Similarly, examining a snowflake under a
microscope will enable the examiner to be the guest of beautiful
geometrical patterns.
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Technology
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The most common example of geometry in everyday life
is technology. Be it robotics or computers or video
games, geometry is applied to almost all the underlying
concepts. The computer programmers are able to work
because the concepts of geometry are always at their
disposal. The virtual world of video games is created
only because the geometric computations help in
designing of the complex graphics of the video games.
Raycasting, the process of shooting, employs a 2-D map
for stimulating the 3-D world of the video games.
Raycasting helps in increasing processing as the
calculations are carried out for the vertical lines on the
screen.

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Homes
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Geometry does not leave even a single chance to play a significant
in homes as well. The windows, doors, beds, chairs, tables, TV,
mats, rugs, cushions, etc. have different shapes. Moreover,
bedsheets, quilts, covers, mats, and carpets have different
geometric patterns on them. Geometry is also important cooking.
The chef needs to add all the ingredients in accurate proportions
and ratio to put forth a delicious dish. Also, while organising a
room, each and every space is utilised to make the room look
more appealing. A house is made to look more presentable by
using vases, paintings, and various decorative pieces, which are of
different geometric shapes and have different patterns made on
them.

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Architecture
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The construction of various buildings or monuments has a
close relationship with geometry. Before constructing
architectural forms, mathematics and geometry help put forth
the structural blueprint of the building. The theories of
proportions and symmetries shape the fixed aspects for all
kinds of architectural designs. Pythagoras’ “Principles of
Harmony” along with geometry were employed in the
architectural designs of sixth century BC. Not only were the
basics of mathematics coupled with geometry helped in
increasing the aesthetics, harmony, and the religious value of
large structures but also aided in mitigating various hazards
resulting from high-speed winds. Moreover, the staircase in
all the buildings take into consideration the angles of
geometry and are constructed at 90 degrees.

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Art
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What does art include? Art encompasses the formation of
figures & shapes, a basic understanding of 2-D & 3-D,
knowledge about spatial concepts, and contribution of
estimation, patterns & measurement. From the aforesaid,
it is evident that there is a close relationship between art
and geometry. The formation of shapes is a result of the
use of geometrical forms like circle, triangle, square,
mandala, or octagon. Moreover, the contents of paintings
or sculptures are largely affected by the choice and shape
of frames. Not to forget that the principles of projective
geometry form the basis of perspective, which is used in
most of the painting.

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Sports
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Sports often does not fail a sole chance to make use of
geometrical concepts. The buildings of the sports stadiums
and athletic fields take into consideration geometric shapes.
The athletic fields also employ geometry; hockey, soccer,
basketball, and football fields are rectangular in shape. The
corner kick spots, goal posts, arcs, D-section, and centre
circle are marked on the field. Similarly, the pitches of
various other sports like volleyball and basketball take into
consideration the geometrical aspects because these pitches
have oval as well as circular arcs marked clearly. Talking of
track field, semicircular shapes are often noticeable. Angles
also play a critical role in predicting the movement of the
players, enhancing their performance, and scoring a point.

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Designing
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Geometry is widely applied in the field of designing; the
creation of animated figures in the video games require
geometry. In the case of art, almost every element of
designing is entwined with geometric proportions, which
is used to depict a story. Taking the examples of miniature
paintings and manuscript illumination, geometric
principles are employed to compose the layout. Strict
geometric proportions are paid attention to while forming
individual letters in calligraphy. In designing, geometry
has a symbolic role to play; as is evident from the carvings
on the walls, roofs, and doors of various architectural
marvels.

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Computer Aided Design- CAD
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Geometry, one of the principle concepts of mathematics,
entails lines, curves, shapes, and angles. Before any
architectural design is made, a computer software helps in
rendering visual images on the screen. CAD, a software,
puts forth the blueprint of the design. Moreover, it also
aids in the simulation of the architectural forms which
allows for the better understanding of the finished
product. The principles of geometry are being used
extensively in various industrial processes which allows
the designing of graphics.

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Mapping
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Geometry helps in the accurate calculation of the physical
distances. It is employed in the field of astronomy to map
the distances between stars & planets and between
different planets. It also aids in the determination of a
relationship between the movements of different bodies in
the celestial environment. Apart from mapping distances
between celestial bodies, geometry also plays a vital role
in surveying and navigation. In the case of surveying,
measurement of the area of land is a result of the accurate
determination of the shape of the land. Moreover, in
navigation, the ships, watercraft, and aircraft utilise
angles and also depend on other mathematical concepts
for carrying out basic operations.

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Medicine
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Techniques like x-rays, ultrasounds, MRIs, and nuclear
imaging require the reconstruction of shapes of organs,
bones, and tumours, which is based on geometry only.
Physiotherapy also employs geometry. Geometric
properties and features help in defining the image in
digital grids. The geometrical concepts not only aid in
visualization, manipulation, image segmentation,
correction, and object representation but also play an
important role in increasing stability, fidelity, and
efficiency. Bisecting angle techniques and parallel
techniques are crucial in radiology.

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“
Geometry is the knowledge that appears
to be produced by human beings, yet
whose meaning is totally independent of
them
-Rudolf Steiner

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T h e t e x t a n d i m a g e s u s e d i n t h i s p r o j e c t h a v e b e e n
t a k e n f r o m :
• S t u d i o u s g u y. c o m
• W e e b l y. c o m
• P g e r. n e t
• P i n t r e s t . c o m
Bibliography

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Thank You