Mathlets: Cylindrical Coordinates (3-D Graphing, Wireframe)

Cylindrical Coordinates (3-D Graphing, Wireframe)

Graphs one function of the form z=f (r,t) using cylindrical coordinates in three dimensions.
How to use || Examples || Other Notes

How to use

Enter a function f (r,θ) in the text input field marked "f (r,θ)=" (Example: f (r,t)=r)
Note: Type "t" for θ in the text input field.
Click the "Graph" button (this button also refreshes the graph)
Rotate the graph by clicking and dragging the mouse on the graph.
To erase the graph and all input fields, click the "Clear" button
There are four input fields which specify bounds on the variables for the function:
- The variable r (the radius) takes values between r_min and r_max, specified by the fields marked "r_min=" and "r_max=".
- The variable θ (the angle, measured counterclockwise in the xy-plane) takes values between θ_min*&pi and θ_max*π, with θ_min and θ_max specified by the fields marked "θ_min=" and "θ_max=".
- These four text input fields can accept any decimal number input.

The text input fields for functions can accept a wide variety of expressions to represent functions, and the buttons under the graph allow various manipulations of the graph coordinates.
For another way to view surfaces, try the "faceted hidden surface" representation.
Examples

Cone:
f (r,θ)=r Plane:
f (r,θ)=r cos θ Hemisphere:
f (r,θ)=√(25-r²) Paraboloid:
f (r,θ)=r²-5

Other Notes
Surfaces in three dimensions are represented in "wireframe" form. The "faceted hidden surface" representation allows for more than one surface to be drawn.