Parametarsko modelovanje (MAS)

program: 3D Grapher

Dekartov kordinatni sistem

kriva u prostoru:

x=1; y=1;y=1

x=3*cos(u+4); y=0.02*u^3 ; z=sin(u-5)*3

-25< u < 25 ; steps 300

povrs 1:

x=1; y=1; z=1;

x= 7*sin(u)*cos(v); y= 6*v*u+sin(8*u); z=14*u

-1< u < 1 ; steps 100;

 -1< v < 1 ; steps 100;

povrs 2:

x=10; y=-5; z=10

x=sin(u)*cos(v)*3; y=cos(v)*sin(v)*3; z=sin(v)*2*sin(u)*3;

-10< u < 10 ; steps 80;

-10< v < 10 ; steps 50;

Program: 3D Grapher

Spherical
a=v*(sin(u))^10*u
b=u*(sin(v))^10*v
R=u^2+v^2
U: [-2,0.5] (100)
V: [-2,0.5] (100)

Cartesian
X=4.0*cos(u)*sin(u)
Y=0.3*u^3
Z=2.4*cos(u)
U: [-10,10] (150)
V: [-10,10] (150)

Koriscen je program 3D grapher

2)

X=u*cos(v)

Y=2*u*sin(v)

Koristila sam program 3D Grapher

Korišćen je program 3D Grapher

Upotrebljen je program 3D Grapher

3d grapher

Koristio sam 3D Grapher

3DGrapher
Varijacija jednacine sfere.

Program - 3D Grapher

Program/ 3D Grapher

Zadatak 1

Program: 3D Grapher

Korisćen je program 3D grapher

Koristila sam program 3D Grapher

Koristio sam program 3D Grapher.

3D Grapher

Coordinates: Spherical

Function:

a(u,v,t)= cos(u)+4*u

b(u,v,t)= cos(u)+v*2

R(u,v,t)= 10*sin(u)

Domain of variables:

Min U: 7          Max U: -6          Steps: 3

Min V: -1         Max V: 16         Steps: 120

 Izgled i aksonometrija.

3D Grapher

Coordinates:Spherical

a(u,v,t)=cos(u)

b(u,v,t)=cos(u)+v

R(u,v,t)=0.5*u

Min U: 2           Max U: 10         Steps:100

Min V: 1           Max V: 10          Steps:100

Program: 3D Grapher

1)

X=cos(v)*5/sin(u)

Y=u*v

Z=3*v

Min U: -5    Min U: 5     Steps: 150

Min V: -10  Min U:10     Steps: 150

2)

X=cos(u)*sin(v)

Y=2*v

Z=3*u

Min U: -10    Min U: 10    Steps: 200

Min V: -5      Min U:5      Steps: 200

koriscen je 3D Graph

3D Graph