Inner Reference Applications

The Inner Reference (IR) comes along with a generalized equilibrium or balance. To obtain an impression about physical, mathematical and engineering applications, please view the provided animations.

New: Download Introduction to Inner Reference

New: Download IR-Animation

Visualisation of Golden Section and π Relationship from generalized Equilibrium (Inner Reference)

Click here to download article "About a Relationship Between π and Φ the Golden Section Ratio Through Balancing and its Corresponding Inner Reference" by Georg Kampmann and Ulrich Eggermann.

Download Demo Software for 2D Inner Reference.

2D animation

Short Explanation: Let there be an arbitrary constellation of plane points. Extinct all multiple ones and all linear combinations (several at least two points create a straight line), that obtain no intercept. Hence the straight line runs through the co-ordinates origin.

The remaining points, Inner Reference, that is equal to their generalised balance, always becomes an ellipse.

With multi dimensions this IR becomes a hyper ellipsoid (restricted towards full and latent restrictions)

This projection may serve a variety of applications from physical, mechanical and mathematical challenges.

3D animation

Research and development on:

• Adjustment and optimization (statistical data analysis and evaluation)
• Mechanical Engineering (structural analysis)
• Projection analysis (according to Grafarend Map-Projections)
• Reference frames and design engineering applications
• Physics applications