Surfaces
Regular old boring plane
the simplest surface
Unit sphere
(
Quicktime format
)
courtesy of Professor Selwyn Hollis, Armstrong Atlantic State University
Elliptic cylinder
an example of a generalized cylinder
Surface of revolution
these surfaces are made up of circles
Torus knots
Knots such as the trefoil knot can be "fattened up" to make
interesting surfaces. There is a
torus knot web site
at
Wolfram Research, Inc where you can manipulate these knots.
The hyperboloid of one sheet and its horizontal traces
courtesy of Professor John Putz, Alma College
The hyperboloid of one sheet and its vertical traces
courtesy of Professor John Putz, Alma College
Circular hyperboloid of one sheet
all z-slices are circles
The hyperboloid of two sheets and its horizontal traces
courtesy of Professor John Putz, Alma College
The hyperboloid of two sheets and its vertical traces
courtesy of Professor John Putz, Alma College
The hyperbolic paraboloid and its horizontal traces
courtesy of Professor John Putz, Alma College