3d visualisation

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3D Visualisation

1D, 2D and 3D objects Length, Breadth and Height are dimensions. For example, a line hasone dimension (length), a square has twodimensions (length and breadth), and a cube has threedimensions (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)

Eulers 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 = 2Where, 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

PolyhedronsAPolyhedronis 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 apolyhedron, with two parallel faces called bases. The other faces are always parallelograms. The prism is named by the shape of its base.Apyramidis 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 FiguresThere are mainly 3 views of a 3D figure :-

1.Top View2. Side View3.Front View

By:- Akshay Painjane

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