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Acknowledgement :
 Information and pictorial illustrations to create
  this work have been drawn from class notes,
  prescribed text books and various internet
  resources. The author gratefully acknowledges
  the same. Any objections to the use of internet
  resources may please be indicated to
  suddurocks@yahoo.in so that the same
  can be removed from the illustrations used in
  this file.
 This presentation is created with the sole
  intention of benefitting a large number of
  student community. This may not be used for
  any commercial purpose.
About

 Geometry is a part of mathematics concerned
  with questions of size, shape, and relative
  position of figures and with properties of
  space. Geometry is one of the oldest sciences.
Geometry Is Used In :

 Computer Graphics - It is based on geometry,
  how images are transformed when viewed in
  various ways.
 Computer Aided Geometric Design -
 Representing shapes in computers, and using
 these descriptions to create images, to instruct
 people or machines to build the shapes, etc.
 Robotics - In planning how to grasp a shape with
  a robot arm, or how to move a large shape
  without collision.
 Medical Imaging - How to reconstruct the shape
  of a tumour from CAT scans, and other medical
  measurements. Lots of new geometry and
  other math was (and still is being) developed for
  this.
 Structural Engineering - What shapes are rigid
  or flexible, how they respond to forces and
  stresses. Statics (resolution of forces) is
  essentially geometry. This goes over into all
  levels of design, form, and function of many
  things.
 Protein Modeling - Much of the function of a
  protein is determined by its shape and how the
  pieces move. Mad Cow Disease is caused by the
  introduction of a 'shape' into the brain (a shape
  carried by a protein). Many drugs are designed
  to change the shape or motions of a protein -
  something that we are just now working to
  model, even approximately, in computers, using
  geometry and related areas (combinatorics,
  topology).
 Physics, Chemistry, Biology - Symmetry is a
  central concept of many studies in science - and
  also the central concept of modern studies of
  geometry. Students struggle in university
  science if they are not able to detect symmetries
  of an object (molecule in stereo chemistry,
  systems of laws in physics, ... ). the study of
  transformations and related symmetries has
  been, since 1870s the defining characteristic of
  geometric studies.
Pictures of Geometry in Real
World
 Geometry is used everywhere. Everywhere in
  the world there is geometry, mostly made by
  man. Most man made structures today are in
  a form of Geometric.
 How, you ask? Well some examples would the a
  CD, that is a 3-D circle and the case would be a
  rectangular prism. Buildings, cars, rockets,
  planes, maps are all great examples.
Examples On How The World Uses
Geometry In Buildings And Structure

  This is a picture with some basic geometric
   structures.
 This is a modern reconstruction of the
  English Wigwam. As you can there the
  door way is a rectangle, and the wooden
  panels on the side of the house are
  made up of planes and lines. Except for
  really planes can go on forever. The
  panels are also shaped in the shape of
  squares. The house itself is half a
  cylinder.
 Here is another modern reconstruction of a
  English Wigwam.
 This house is much similar to the one
  before. It used a rectangle as a doorway,
  which is marked with the right angles.
  The house was made with sticks which
  was straight lines at one point. With the
  sticks in place they form squares when
  they intercepts. This English Wigwam is
  also half a cylinder.
 This is a modern day skyscraper at MIT.
 The openings and windows are all made
  up of parallelograms. Much of them are
  rectangles and squares. This is a
  parallelogram kind of building.
 This is the Hancock Tower, in Chicago.
 With this image, we can show you more
  3D shapes. As you can see the tower is
  formed by a large cube. The windows
  are parallelogram. The other structure is
  made up of a cone. There is a point at
  the top where all the sides meet, and
  There is a base for it also which makes it
  a cone.
 This is another building at MIT.
 This building is made up of cubes,
  squares and a sphere. The cube is the
  main building and the squares are the
  windows. The doorways are rectangle,
  like always. On this building There is a
  structure on the room that is made up of
  a sphere.
 This is the Pyramids, in Indianapolis.
 The pyramids are made up of pyramids,
  of course, and squares. There are also
  many 3D geometric shapes in these
  pyramids. The building itself is made up
  of a pyramid, the windows a made up of
  tinted squares, and the borders of the
  outside walls and windows are made up
  of 3D geometric shapes.
 This is a Chevrolet SSR Roadster Pickup.
 This car is built with geometry. The
  wheels and lights are circles, the doors
  are rectangular prisms, the main area
  for a person to drive and sit in it a half a
  sphere with the sides chopped off which
  makes it 1/4 of a sphere. If a person
  would look very closely the person
  would see a lot more shapes in the car.
  Too many to list.
Symmetry

 Symmetry in common usage generally
  conveys two primary meanings.
 The first is an imprecise sense of harmonious or
  aesthetically-pleasing proportionality and
  balance; such that it reflects beauty or
  perfection.
 The second meaning is a precise and well-
  defined concept of balance or "patterned self-
  similarity" that can be demonstrated or proved
  according to the rules of a formal system: by
  geometry, through physics or otherwise.
Thank You !!!

 Compiled By :
 Sudarshan.S.K.

 Mail Your Feedback And Suggestions
 For Improvement To :
 suddurocks@yahoo.in

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Geometry in daily life

  • 1.
  • 2. Acknowledgement :  Information and pictorial illustrations to create this work have been drawn from class notes, prescribed text books and various internet resources. The author gratefully acknowledges the same. Any objections to the use of internet resources may please be indicated to suddurocks@yahoo.in so that the same can be removed from the illustrations used in this file.  This presentation is created with the sole intention of benefitting a large number of student community. This may not be used for any commercial purpose.
  • 3. About  Geometry is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences.
  • 4. Geometry Is Used In :  Computer Graphics - It is based on geometry, how images are transformed when viewed in various ways.
  • 5.  Computer Aided Geometric Design - Representing shapes in computers, and using these descriptions to create images, to instruct people or machines to build the shapes, etc.
  • 6.  Robotics - In planning how to grasp a shape with a robot arm, or how to move a large shape without collision.
  • 7.  Medical Imaging - How to reconstruct the shape of a tumour from CAT scans, and other medical measurements. Lots of new geometry and other math was (and still is being) developed for this.
  • 8.  Structural Engineering - What shapes are rigid or flexible, how they respond to forces and stresses. Statics (resolution of forces) is essentially geometry. This goes over into all levels of design, form, and function of many things.
  • 9.  Protein Modeling - Much of the function of a protein is determined by its shape and how the pieces move. Mad Cow Disease is caused by the introduction of a 'shape' into the brain (a shape carried by a protein). Many drugs are designed to change the shape or motions of a protein - something that we are just now working to model, even approximately, in computers, using geometry and related areas (combinatorics, topology).
  • 10.  Physics, Chemistry, Biology - Symmetry is a central concept of many studies in science - and also the central concept of modern studies of geometry. Students struggle in university science if they are not able to detect symmetries of an object (molecule in stereo chemistry, systems of laws in physics, ... ). the study of transformations and related symmetries has been, since 1870s the defining characteristic of geometric studies.
  • 11. Pictures of Geometry in Real World  Geometry is used everywhere. Everywhere in the world there is geometry, mostly made by man. Most man made structures today are in a form of Geometric.
  • 12.  How, you ask? Well some examples would the a CD, that is a 3-D circle and the case would be a rectangular prism. Buildings, cars, rockets, planes, maps are all great examples.
  • 13. Examples On How The World Uses Geometry In Buildings And Structure  This is a picture with some basic geometric structures.
  • 14.  This is a modern reconstruction of the English Wigwam. As you can there the door way is a rectangle, and the wooden panels on the side of the house are made up of planes and lines. Except for really planes can go on forever. The panels are also shaped in the shape of squares. The house itself is half a cylinder.
  • 15.  Here is another modern reconstruction of a English Wigwam.
  • 16.  This house is much similar to the one before. It used a rectangle as a doorway, which is marked with the right angles. The house was made with sticks which was straight lines at one point. With the sticks in place they form squares when they intercepts. This English Wigwam is also half a cylinder.
  • 17.  This is a modern day skyscraper at MIT.
  • 18.  The openings and windows are all made up of parallelograms. Much of them are rectangles and squares. This is a parallelogram kind of building.
  • 19.  This is the Hancock Tower, in Chicago.
  • 20.  With this image, we can show you more 3D shapes. As you can see the tower is formed by a large cube. The windows are parallelogram. The other structure is made up of a cone. There is a point at the top where all the sides meet, and There is a base for it also which makes it a cone.
  • 21.  This is another building at MIT.
  • 22.  This building is made up of cubes, squares and a sphere. The cube is the main building and the squares are the windows. The doorways are rectangle, like always. On this building There is a structure on the room that is made up of a sphere.
  • 23.  This is the Pyramids, in Indianapolis.
  • 24.  The pyramids are made up of pyramids, of course, and squares. There are also many 3D geometric shapes in these pyramids. The building itself is made up of a pyramid, the windows a made up of tinted squares, and the borders of the outside walls and windows are made up of 3D geometric shapes.
  • 25.  This is a Chevrolet SSR Roadster Pickup.
  • 26.  This car is built with geometry. The wheels and lights are circles, the doors are rectangular prisms, the main area for a person to drive and sit in it a half a sphere with the sides chopped off which makes it 1/4 of a sphere. If a person would look very closely the person would see a lot more shapes in the car. Too many to list.
  • 27. Symmetry  Symmetry in common usage generally conveys two primary meanings.
  • 28.  The first is an imprecise sense of harmonious or aesthetically-pleasing proportionality and balance; such that it reflects beauty or perfection.
  • 29.  The second meaning is a precise and well- defined concept of balance or "patterned self- similarity" that can be demonstrated or proved according to the rules of a formal system: by geometry, through physics or otherwise.
  • 30. Thank You !!! Compiled By : Sudarshan.S.K. Mail Your Feedback And Suggestions For Improvement To : suddurocks@yahoo.in