| FEAview Surface Gallery |
Some surfaces whose parametric equations were found in:
- "A Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed." Alfred Gray, 1997.
- Eric Weisstein's "World of Mathematics" (http://mathworld.wolfram.com/)
Except for the first four surfaces, all of the surfaces below are built using the program's built-in function parser (from http://warp.povusers.org/FunctionParser/). The function parser defines functions from ASCII strings and it frees users from equations that are hard coded into the program.
Klein
Bottle. This is produced using a Python script. Python is an easy language to learn and the
use of it provides users with additional functionality in defining curves
and surfaces.
Klein Bottle 2. This was a surprise. It's the Klein Bottle with the a and b coefficients = 0.
Klein Bottle 3. Another distortion.
Klein
Bottle 4. This one has three dimples.
FEAview can tessellate curves, surfaces, and volumes with "elements." (Be they elements from a visualization program like VTK, or finite element analysis elements, or CFD elements, or...)
Using tangent lines to show the speed of different parameterizations, 1X, 2X, and unit-speed.
Astroidal Ellipsoid:
file: /Gallery/astroidal_ellipsoid.model
Corkscrew Surface:
file: /Gallery/corkscrew_surface.model
Half-Sphere, Cylinder, and Cone:
File:
/Gallery/HalfSphereCylinderCone.model
Dini's Surface:
file /Gallery/dinis_surface.model
Eight Surface:
file: /Gallery/eight_surface.model (shown 1/3 open)
Ellipsoid, Stereographic Projection:
File: /Gallery/ellipsoid_stereographic.model
Elliptical Cone:
File: /Gallery/elliptical_cone.model
Elliptical cone inside an elliptical
cylinder:
File: /Gallery/elliptical_cone_and_cylinder.model
Elliptical Helicoid:
File: /Gallery/elliptical_helicoid.model
Elliptic Hyperboloid (from Eric
Weisstein's "World of Mathematics")
File: /Gallery/elliptical_hyperboloid.model
Elliptical Paraboloid:
File: /Gallery/elliptical_paraboloid.model
Elliptical Torus:
File: /Gallery/elliptical_torus.model
Ennerper's Surface:
File: /Gallery/ennerpers_surface.model
Funnel Surface:
File: /Gallery/funnel_surface.model
Möbius Strip:
File: /Gallery/mobius_strip.model
\
Möbius Crazy Strip:
File: /Gallery/mobius_strip2.model
Hyperbolic Paraboloid:
File:
/Gallery/hyperbolic_paraboloid.model
Monkey Saddle:
File: /Gallery/monkey_saddle.model
A person could sit in a hyperbolic paraboloid
shaped saddle but a monkey would be more comfortable in this surface because
there is a place for its tail.
Hyperboloid of one sheet:
File:
/Gallery/hyperboloid_one_sheet.model
Hyperboloid of two sheets:
Note: There are two surfaces here; each sheet is treated as a separate surface.
File: /Gallery/hyperboloid_two_sheets.model
Paraboloids:
File: /Gallery/paraboloids.model
On left is alternative definition from functions.constr file.
On right is the definition built
into the program. This is a more versatile function.