Tilted Helicoid

inner radius (r)

2

outer radius (R)

5

spiral step (h)

4

tilt angle (θ), deg

45

number of turns

1

2

3

4

5

direction of twist (α)

1

-1

The helicoid is one of the three well-known minimal surfaces, along with the plane and the catenoid. In this Demonstration, you can plot a tilted helicoid with specified parameters: inner radius

r

, outer

R

radius, spiral step

h

, tilt angle

θ

, number of turns and the direction of twist

α

. Here

θ

is the angle between the

z

axis and the normal to the surface.

External Links

Helicoid (Wolfram MathWorld)

Archimedean Screw

Permanent Citation

Nikita Berdnikov, Dmitry Shkitov

"Tilted Helicoid"
http://demonstrations.wolfram.com/TiltedHelicoid/
Wolfram Demonstrations Project
Published: March 17, 2022