Exploring Cubic Surfaces with the Clebsch App

Anton Betten

May 29, 2017

1  The Clebsch App

The Clebsch App is an app for iOS devices (iphone, ipad) whose purposes are purely educational. The App displays certain geometric features of cubic surfaces using the example of the Clebsch surface. 3D graphical animations are used to explore geometric aspects like lines, tritangent planes, double sixes, trihedra and so on.


Short explanatory texts are provided beneath the animation.


Here is an animation of the Clebsch surface:


Click here for animation
Click here for still picture


Animations like these can be found on the app.


2  Screen Shots

Here are some screen shots from the app:


screen 1
screen 2
screen 3
screen 4
screen 5


3  Explanatory Texts

Cubic Surfaces
Tritangent Planes
The 27 Lines
Eckardt Points
5 Planes through a lines
The Double Six
The $c_{ij}$ lines
Steiner Trihedral Pairs
The Clebsch Map
Six-Arcs


4  Copyright

Anton Betten, 2017.


File translated from TEX by TTH, version 4.08.
On 29 May 2017, 08:34.