Transformation Modes

Transformation Modes

Transformations are one of the most powerful new geometric enhancements in Cinderella.2. With transformations it is easy to transfer parts of a construction to another place, reflect or rotate them, or even apply a perspective transformation. The use of transformations often allows significant simplifications of constructions even in unexpected circumstances.

Transformations are conceptually slightly different from usual geometric construction modes in Cinderella. While a usual geometric construction generates a visible geometric object (such as a parallel or an intersection point), a transformation creates an action button that permits the application of the transformation to other objects.

The transformation mode menu collects all possible types of transformation operations:

Transformation mode menu

However, before we explain the different kinds of transformations, we will demonstrate the general use of transformations by means of a few simple examples.

• General Use of Transformations

The different transformation modes are described in the following sections:

• Translation
• Rotation
• Reflection
• Similarity
• Affine Transformation
• Projective Transformation
• Möbius Transformation
• Inversion of Transformations
• Composition of Transformations
• Mapping of Elements
• Transformations by Functions