Post on 16-Feb-2017
transcript
3D Visualisation
1D, 2D and 3D objects Length, Breadth and Height are dimensions. For example, a line
has one dimension (length), a square has two dimensions (length and breadth), and a cube has three dimensions (length, breadth and height).
Therefore,
1D = 1 Dimension (line)
2D = 2 Dimensions (square)
3D = 3 Dimensions (cube)
Some examples of 3D objects
Pyramids of Egypt (Pyramid)
Rubik's Cube (Cube)
Basket Ball (Sphere)
Euler’s Formula ‘Leonhard Euler’ was a pioneering Swiss mathematician and physicist.
He made important discoveries in fields as diverse as infinitesimal calculus and graph theory. He had invented a formula (popularly known as the Euler's formula):-
V - E + F = 2
Where, V = number of vertices, E = number of edges & F = number of faces
For Example, 1. Tetrahedron :- V = 4, E = 6, F = 4 & Therefore, 4 - 6 + 4 = 2
2. Cube :- V = 8, E = 12, F = 6 & Therefore, 8 - 12 + 6 = 2
Polyhedrons A Polyhedron is simply a three-dimensional solid which consists of a
collection of polygons, usually joined at their edges.
Net of a 3D Object The figure drawn on a 2D paper which when folded forms the 3D object is called as the net of a 3D shape.
For Example,
Prisms and Pyramids• A prism is a polyhedron, with two parallel faces called bases. The
other faces are always parallelograms. The prism is named by the shape of its base.
• A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. It is a conic solid with polygonal base
Views of 3D Figures
There are mainly 3 views of a 3D figure :-
1.Top View2. Side View3.Front View
By:- Akshay Painjane