
See how the JBullet physics engine has been
integrated into jReality.
Experience mathematical objects as physical objects:
use middle mouse to shoot balls,
left mouse to move an object,
right mouse to apply momentum to an object and the scroll wheel to change
the direction of the applied momentum.
Includes realtime synthesized audio. This may require a fast computer
to run smoothly. You can turn off audio, uncheck "sound" in the
"Main Physics Controls" panel on the left.



This lab is an interactive remake of Matthias Heil's famous
movie of CMC tori (mp4
72.3MiB) or
(avi
66.8MiB). Double click on the surface opens the
interaction panel. Tip: To simplify puzzling one might set the
magnetism to 20 to get the pieces in the right
position. Then set magnetism to 0 and move (middle mouse) the
pieces apart. Setting magnetism back to 5 it is now easier
to finish the puzzle.
The labs front end uses ViewerVR from our jReality project. You may wish to have a
look at the ViewerVR
User Manual.
This lab was implemented by Felix Knoeppel during
the practice sessions of the
course "Mathematische
Experimente in Virtual Reality" winter 2006/07 using the jReality java package.



This lab is part of the
exhibition Imaginary
2008. You may switch between the six different
geometries using the "1" and "2" key.
The labs front end uses ViewerVR from our jReality project. You may wish to have a
look at the ViewerVR
User Manual.
more
details abaut the six geometries (in german, pdf document) ...
Ulrich Pinkall and
Steffen
Weissmann.



In this lab you may investigate surfaces of
constant negative Gaussian curvature (Ksurfaces).
Double click on the surface allows you
to change the curvature and the length of the surface.
The initial curve may be
changed (at the bottom when the lab comes up).
Just drag the yellow
points of the initial curve. Double click on the initial curve to add more
control points and change the interpolation parameters.
Double click on the
initial curve to open a panel that allows to change the number of control points and
subdivision parameters.
More ...
.
The labs front end uses ViewerVR from our jReality project. You may wish to have a
look at the
ViewerVR User Manual.
For the theoretical background consult
Designing Cylinders with Constant Negative Curvature.
Ulrich Pinkall



In this lab you may explore a version of Boy's
surface that minimizes Willmore energy. Double click on the
surface opens a panel which allows to adjust some exploration parameters. In
particular you may start an animation, which draws the surface
stretching a Möbius band until only one small disc is missing.
This surface is the Möbius inversion of a minimal sphere with three
planar ends. Adjusting the parameters called "Add in x,y,z" under
"Appearance" you may alter the center of this Möbius inversion.
The labs front end uses ViewerVR from our jReality project. You may wish to have a
look at the ViewerVR User Manual.
This lab was implemented by Elisabeth Guenther during
the practice sessions of the
course "Mathematische
Experimente in Virtual Reality" winter 2006/07 using the jReality java package.



In this lab you may explore some minimal surfaces. It is an
interactive version of some of Matthias Weber's Mathematica notebooks,
see Matthias Weber's minimal
surface museum. Double click on the surface opens the exploration panel.
The labs front end uses ViewerVR from our jReality project. You may wish to have a
look at the ViewerVR
User Manual.
This lab was implemented by Martin Beckmann during an
intenship using the
jReality java package.



This webstart application integrates 3DXplorMathJ into jReality's ViewerVR.
To explore a
3DObject in jReality press the button "View in jReality" in the "3DXploreMath" panel.
JBullet and
jReality sound is enabled.
Consult ViewerVR
User Manual for the usage of ViewerVR.
JBullet interaction: use middle mouse to shoot balls, left mouse to move an object,
right mouse to apply momentum to an object and the scroll wheel to change
the direction of the applied momentum.



This lab solves the Plateau Problem interactively, i.e.,
finds the minimal surfaces with a given boundary. Double click on
the surface opens the exploration panel, in which you may manipulate
the parameters of the boundary curve. The yellow points on the
boundary are draggable.
The labs front end uses ViewerVR from our jReality project. You may wish to have a
look at the ViewerVR User Manual.
This lab was implemented by Simon Weiss during
the practice sessions of the
course "Mathematische
Experimente in Virtual Reality" winter 2006/07 using the jReality java package.



This lab is an interactive version of The Optiverse.
Double click on the surface opens the animation panel.
The labs front end uses ViewerVR from our jReality project. You may wish to have a
look at the ViewerVR User Manual.
Steffen
Weissmann,
John
Sullivan.



You may explore elastic curves in space with this lab. Double click
on a red point of the curve (re)opens the animation panel. All points
are draggable. Drag the green point to add segments to the curve.
The labs front end uses ViewerVR from our jReality project. You may wish to have a
look at the ViewerVR User Manual.
This lab was implemented by Ronny Guenther during
the practice sessions of the
course "Mathematische
Experimente in Virtual Reality" winter 2006/07 using the jReality java package.
