# Symmetric Satellite Swarms and Choreographic Crystals.

@article{Boyle2014SymmetricSS, title={Symmetric Satellite Swarms and Choreographic Crystals.}, author={Latham A. Boyle and Jun Yong Khoo and Kendrick Smith}, journal={Physical review letters}, year={2014}, volume={116 1}, pages={ 015503 } }

In this Letter, we introduce a natural dynamical analogue of crystalline order, which we call choreographic order. In an ordinary (static) crystal, a high degree of symmetry may be achieved through a careful arrangement of the fundamental repeated elements. In the dynamical analogue, a high degree of symmetry may be achieved by having the fundamental elements perform a carefully choreographed dance. For starters, we show how to construct and classify all symmetric satellite constellations. Then…

## 8 Citations

### Colloidal Dynamics on a Choreographic Time Crystal.

- PhysicsPhysical review letters
- 2020

Using simulations, colloids interacting with a choreographic crystal consisting of traps that could be created optically are examined and it is shown that transitions between these states can be understood in terms of vertex frustration effects that occur during a certain portion of the choreographic cycle.

### Spatio-Temporal Symmetry - Point Groups with Time Translations

- MathematicsSymmetry
- 2017

The derivation of these ’spatio-temporal’ groups from conventional point groups and their irreducible representations is outlined, followed by a complete listing of groups.

### Contact with extraterrestrial civilizations performs the superluminal Shayda-Maxwellian robot performs cross linking The Light of Other Days in the form of metamorphosis the megascopic active medium. Contact with extraterrestrial civilizations

- Physics
- 2022

Observations [2] intensity changes CMB did not reveal the existence of meaningful regularities outside the set of random numbers. Thereby, the authors pitilessly have deprived us of the opportunity…

### Antisymmetry: Fundamentals and Applications

- Physics
- 2020

Symmetry is fundamental to understanding our physical world. An antisymmetry operation switches between two different states of a trait, such as two time-states, position-states, charge-states,…

### Transient hexagonal structures in sheared emulsions of isotropic inclusions on smectic bubbles in microgravity conditions

- PhysicsScientific reports
- 2021

It is found that droplets can form two-dimensional hexagonal structures changing with time, and the possibility of spatial and temporal periodicity of such structures of droplets is indicated.

### Anharmonic Phonons in Graphene from First Principles

- Physics
- 2017

Anharmonic Phonons in Graphene from First Principles

### Rotating periodic patterns in reaction diffusion systems

- Computer ScienceCommun. Nonlinear Sci. Numer. Simul.
- 2022

### Time Quasilattices in Dissipative Dynamical Systems

- MathematicsSciPost Physics
- 2018

We establish the existence of ‘time quasilattices’ as stable
trajectories in dissipative dynamical systems. These tilings of the time
axis, with two unit cells of different durations, can be…

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