More formally

• A pattern is a partial function from a space to a set of atoms
• The type/set or patterns is

Metapatterns

• The set of meta patterns would then be
  

Let's recap

• Patterns are partial function from the space to atoms
• Metapatterns are partial functions from space to subpatterns
• By itering this construction, we get a pattern hierarchy.

2.Transformations of patterns

Patterns of transformations

• We'd like to express the fact that "La Perdrix" corresponds to a constant pitch version of "Do Ré Mi".
• Let's use patterns of transformations !
• A pattern of transformations maps points of space to a transformation

Transformations : recap

• One can transform patterns by applying a transformation
• Patterns of transformations allow to locally les transformations localement.

3. Building patterns

Tiles

• Combining patterns and transformation allow to get an iterative process to draw .
• Patterns are hierarchised content.
• Transformations express the articulation of that content.

What tile allow

• Locate patterns relatively one to another.
• Duplicate patterns in time and space
• Overlapping patterns (in particular, anacrusis)
• ...

Conclusion

Hierarchised tiles are a language that allow:

1. hierarchic structuration of media
2. express similarities within that hierarchy
3. a constructivist approach based on the sum of tiles.

On going and future work

• Implementation
• Rendering engines for diffent kind of media
• Real-time control on the hierarchy
• Multimedia performances

Do you have questions ?