Virtual Math Labs: Miscellanea

3D-XplorMath-J Meets jReality

This webstart application integrates 3D-XplorMath-J into jReality's ViewerVR.

To explore a 3D-Object 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.

Planar elastic domain

Start the java web start application.

This application simulates a planar elastic sheet. While you drag some vertices, the rest of the mesh moves in order to lower its elastic energy.

Right click on the background to open a menu. There are two types if objects solids and holes, which you can add and edit in "Domain" mode. In "Selection" mode you can use the green "Brush" (brush needs to be in "select" mode) to select vertices. Mark selected vertices as "fixed" or "movable". Finally, in "Physics" mode you can drag the movable vertices around and the rest of the mesh moves like a rubber sheet. Since there is no friction you always need some fixed vertices.

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Lab author: Ulrich Pinkall

Elastic surfaces in space

Start the java web start application.

This lab is a demo of the "Elastic Domain Model" and the "Force Density Method" for a cable-net-system.

You begin with a regular polygon. Then you triangulate it into a cable-net. The red vertices are movable, the yellow ones are a movable group and the silver nodes are free (change the vertex type with middle mouse). Press the "Init" button and then "Run". Drag the yellow and red points around.

The lab was implemented by Marius Schwalbe during the practice sessions of the course Mathematische Visualisierung im Wintersemester 2008

Matheon Baer

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jReality Tool Demo

Triangular Surface of Genus 2 with 10 Vertices

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