Assignment 16(Net of Sphere)
Introduction
-A sphere is defined as the set of points that is at equal distances from a common point in three dimensional space. This constant distance is called radios of Sphere and the common Point is the center of Sphere.
-A sphere is always Round and it doesn't have any Sides or flat Surfaces.
-In, this applet we show the net of sphere. An example of Sphere in real life is ball.
Objective
Design an applet to Show Net of sphere.
User Guideline
Move/play the slider 't' then there becomes a net of Sphere. We know that the sphere occupies the biggest Space but has smallest Surface area.
Applet
Construction Protocol
To create the Net of Sphere we follow the Following Construction Steps:-
1. Open the new GeoGebra window .
2. Create the number slider 't' with min-0 and max-2 and increment- 0.01and another number slider R with min-1 and max-5.
3.Open the 3D graphics view.
4 Input :Surface((t(-R)+(1-t)R sin(-u/4))cos(v),(t(-R)+(1-t)R sin(-u/4))Sin(v),t sin((u/4*2R-R)/2)+(1-t)(-R)cos(-u Pi/4))u,o,4,v,0,2 Pi) by using input tool.
5.Input: Surface ((t-1) (-R)+2-t)R cos(-u),(t-1)(U R-Pi R)+(2-t)R sin(-u),sin((v/4*2R-R)/2 Pu),u,0,2 Pi,v,0,4). by using input tool.
6. Condition to show of Surface a is t<=1 and surface b is t>1.by using object properties.
7 Enhance your construction by using object properties.
Test your Understanding
Q.n 1) Construct the net of Sphere by following the construction Protocol.