Jump to content

benice

Members
  • Posts

    7
  • Joined

  • Last visited

Contact Methods

  • Website URL
    http://benice-equation.blogspot.com/

benice's Achievements

Lepton

Lepton (1/13)

0

Reputation

  1. Hello everyone! Thank you for your appreciation. Hi michel123456, I made them just for fun. The epicycloid curves have some applications in gear design. (http://en.wikipedia....ki/Cycloid_gear) If k (defined in this page) is a rational number, then the curve is closed and periodic. If k is an irrational number, then the curve never closes. Hi Daedalus, we may superpose different curves with different colors on the same picture to make more beautiful patterns. I use an open software called GeoGebra(v4.0) to make animations.
  2. (1)Polygonal Epicycloid (2)Polygonal Epitrochoid
  3. Answers: A funny 3D image: A funny curve: The above graphics were created completely using math formulas and math softwares.
  4. They are isosurfaces of the same function Fun(x,y,z) at different levels.
  5. Two living things. Three animal-like faces. Thanks for your reply.
  6. Hint: Consider the intersection of a horizontal plane with the surface. The intersection consists of a family of funny curves. (An example curve is shown below. It has nothing to do with the answer.) Cut off the upper surface above the horizontal plane to get a funny 3D image. (This curve is obtained from another surface.)
  7. The surface in above image is a portion of the graph of some mathematical equation. Let's do some brainstorming: Can you guess what's inside the surface? .
×
×
  • Create New...

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.