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Assignment 16: Net of sphere

Introduction

This figure is sphere. A sphere is a geometrical object in three-dimensional space that is the surface of a ball.

Objectives

To observe net of sphere

User Guideline

Dear students choose slider and drag them ,move on left and right and observe net/area of sphere in this figure.

Question

Draw net of sphere where0t2 and1R3 by using GGb applet with the help of construction protocal.

Construction protocal

1.Firstly we open GGB applet 2. Then we choose slider tool 3. first slider where 0t2 and next slider 1R5 4. then using inputbar we write those formula ***Surface((t (-R) + (1 - t) R sin(-u π / 4)) cos(v), (t (-R) + (1 - t) R sin(-u π / 4)) sin(v), t sin((u / 16 R - R) / 2 π) + (1 - t) (-R cos(-u π / 4)), u, 0, 4, v, 0, 2π) ***Surface((t - 1) (-R) + (2 - t) R cos(-u), (t - 1) (u R - π R) + (2 - t) R sin(-u), sin((v / 16 R - R) / 2 π), u, 0, 2π, v, 0, 4) 5.and colour as your choice