how to create helix

create helix with radius 2 withone revolution in xy plane and one unit in z direction

Answer 1

[Ameer Hamza]

Try this

r = 2;
t = linspace(0, 10*pi, 1000);

x = r*cos(t);
y = r*sin(t);
z = t/(2*pi);

plot3(x, y, z);
grid on

[Adil Asif]

can you explain how is it one revolution in x y

axis

[Ameer Hamza]

If you want just one revolution then change 't' to

t = linspace(0, 2*pi, 1000);

t control the number of revolutions. 2*k*pi will create k revolutions.

[Adil Asif]

Got it thankyouuu and can you tell what about moving one unit in z direction?

[John D'Errico]

What happens after 2*pi radians? (Hint: x,y return to their original position, because sin and cos are periodic with period 2*pi.)

Therefore, at t = 0, we start the curve, where z=0. When do x and y return to the same spot? Again, at t = 2*pi. What is the value of z at that "time"?

z = (2*pi)/(2*pi) = 1

So z increments by EXACTLY one unit in z, every 2*pi units of time.

[Ameer Hamza]

@Adil, as John explained, you will move a unit distance along the z-axis for each 2*pi increment in 't'.

Answer 2

[KSSV]

r = 2 ; 
c = 10 ; 
th = linspace(0,2*pi*c,500) ; 

x = r*cos(th) ;
y = r*sin(th) ;
z = c*th ; 

plot3(x,y,z)