Abstract
In the recent study of infinite root systems, fractal patterns of ball packings were observed while visualizing roots in affine space. In fact, the observed fractals are exactly the ball packings described by Boyd and Maxwell. This correspondence is a corollary of a more fundamental result: given a geometric representation of a Coxeter group in Lorentz space, the set of limit directions of weights equals the set of limit roots.
| Original language | English |
|---|---|
| Pages (from-to) | 103-111 |
| Number of pages | 9 |
| Journal | Discrete Mathematics and Theoretical Computer Science |
| Publication status | Published - 2014 |
| Externally published | Yes |
| Event | 26th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2014 - Chicago, United States Duration: 29 Jun 2014 → 3 Jul 2014 |
!!!Keywords
- Ball packing
- Coxeter graphs
- Infinite Coxeter groups
- Infinite root systems
- Limit roots
- Sphere packing
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