An interactive introduction to MATLAB

30 plotting

Exercise 4: 3 d plotting

1. Plot the following 3dcurves using theplot3function:
   a) Spherical helix

x=sin

(

t

2c

)

cos(t)

y=sin

(

t

2c

)

sin(t)

z=cos

(

t

2c

)

wherec= 5 and 06 t 6 10π.

b) Sine wave on a sphere

x=cos(t)

√

b^2 −c^2 cos^2 (at)

y=sin(t)

√

b^2 −c^2 cos^2 (at)

z=c∗cos(at)

wherea= 10 ,b= 1 ,c=0.3, and 06 t 6 2π.

2. Plot the following surfaces using thesurffunction:
   a) Sine surface

x=sin(u)

y=sin(ν)

z=sin(u+ν)

where 06 u 6 2π, and 06 ν 6 2π.

b) Spring

x=[ 1 −r 1 cos(ν)]cos(u)

y=[ 1 −r 1 cos(ν)]sin(u)

z=r 2

[

sin(ν) +

tu

π

]

wherer 1 =r 2 =0.5,t=1.5, 06 u 6 10π, and 06 ν 6 10π.

c) Elliptic torus

x=[c+cos(ν)]cos(u)

y=[c+cos(ν)]sin(u)

z=sin(ν)cos(ν)

wherec=0.5,−π 6 u 6 π, and 06 ν 6 π.