AniKa -- Animated Kaleidocycles
May not work with the Microsoft Java VM. Use of the Sun Java VM recommended (available at www.java.com)
Navigation within the geometry viewer
| To rotate | drag with left mousebutton |
| To scale | press "s" and drag with left mousebutton |
| To toggle on/off z-Buffer | SHIFT-z (try this, if animation is slow) |
| To get more options | right mousebutton |
Some configurations worth mentioning
Always assume Aperture1 = Aperture2 and Symmetry1 = Symmetry2.
| Order | 180°-Twists | Aperture | Symmetry | |
|---|
| | | 1 |
all faces are equivalent
|
| | | 0 |
all faces are right-angled
|
| even | maximum | | |
"normal" (i.e. traditional) kaleidocycles
with strong rotational symmetry
|
| even | maximum | | 1 |
all faces are equivalent and isosceles
(includes kaleidocycles consisting of regular tetrahedra (except for Order=6))
|
| even | maximum | 1 | 1 |
the "eye" in the middle of the kaleidocycle closes for time =0, =0.25, =0.5, =0.75
|
| 6 | 3 | 1 | 0 |
This one is called "Der umstülpbare Würfel" (The invertible cube) and is due to Paul Schatz.
Set time to 0.1 to see the connection to the cube
|
The above applet is based on
JavaView
,
a 3d geometry viewer and numerical software library written in Java.
Visit www.javaview.de.
|
