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Caption 1: | “Matrix in Flight” by Carrie A. Manore Postdoctoral Researcher This is a matrix consisting of values for the basic reproduction number, or initial rate of spread, of an epidemic in two species as competition for resources changes. The matrix 'flies' as the viewing angle changes. |

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Caption 2: | "Sea Horse” by Kyle Hickmann Post-doctoral Researcher Pressure wave propagating through a medium viewed as particles. Try to find the hidden seahorse. |

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Caption 3: | "Surfactant fields in a model of airway reopening" by Jerina Pillert Graduate Student, Biomedical Engineering Interpretations of surfactant concentration gradients generated in the surrounding occluding fluid as a semi-infinite finger of air oscillates and progresses in a model of airway reopening. |

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Caption 4: | "Richness Over Time" by Rosalyn Rael Ford Post-doctoral Fellow Pacific Ecoinformatics and Computational Ecology (PEaCE) Lab Total number of species in an ecological community (richness) generated by a stochastic Lotka-Volterra model, plotted over time. |

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Caption 5: | "Spintop " by Jacek Wrobel Post-doctoral Researcher Two-dimensional stable and unstable manifolds of the Volume-Preserving Hénon Map. Of fundamental importance in understanding discrete dynamical systems are invariant manifolds (stable or unstable) emanating from fixed points and periodic orbits. These manifolds act as barriers between different regions of the phase space and exert a significant influence on the dynamics through their topology. The volume-preserving maps are useful in understanding the motion of passive tracers in fluids and magnetic field line configurations. They are also of interest since many phenomena in the two-dimensional case are not yet completely understood in higher dimensions. Such phenomena include transport, the breakup of heteroclinic connections, and the existence of invariant tori. These maps are also important as integrators for incompressible flows. |

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Caption 6: | “Carnation” by Jacek Wrobel, Post-doctoral Researcher Half-sphere interpolation using cubic Bézier triangles, control points (Bézier ordinates) of each triangle in random order. Bézier Triangle is the polynomial patch of degree n, which is defined in terms of (n+2)(n+1)/2 control points (Bezier ordinates) using the Bernstein polynomials over local barycentric coordinates as a basis. These are the most natural generalization of Bézier curves. Triangular Bézier patches can be used to build piecewise-defined complex surfaces, where each patch corresponds to a triangle of a tessellation. |

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Caption 7: | "Sinusoidal Wave" by Ricardo Cortez Faculty Self crossing of phase-shifted sinusoidal waves with growing amplitude arranged in a circle. |

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Caption 8: | “MRS’s error corrections” by Hoang-Ngan Nguyen Post-doctoral Researcher The regularization error of the MRS with (blue) and without corrections for Stokes flow around a solid prolate spheroid (red). |

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Caption 9: | “An Impact Of A Drop On A Liquid Layer” by Hideki Fujioka Computational Scientist A liquid drop falls into a thin liquid layer on a flat plate. The color represents the velocity magnitude. The moving particles semi-implicit method is used to solve the Navier-Stokes equations. |

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Caption 10: | “An Acinus Tree” by Hideki Fujioka Computational Scientist The shape of lung alveoli is computed with the finite element method. A thin liquid layer coats the inner surface of each alveolus. The surfactant reduces the surface tension on the air-liquid interface. The alveoli within the tree-like region are contracted because the amount of surfactant is reduced. The color represents the strain of alveolar septa. |

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Caption 11: | “Colorful wake” by Christina Hamlet Post-doctoral Researcher This depicts a numerical simulation of the vortices shed by a lamprey as it swims. |

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Caption 12: | “Flow of the upside-down jellyfish” by Christina Hamlet Post-doctoral Researcher Numerical simulation of the bulk flow of fluid around the upside-down jellyfish, Cassiopea as it rests against the seafloor. |

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Caption 13: | “Troubling times” by Franz Hoffmann Graduate Student, Math Department This shows our first attempt to compute a flow field in frequency space. We marked with red wherever it is not correct. Later we fixed our method and now the picture is black. What a pity. |

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Caption 14: | “Happy Movember” by Julie Simons Post-doctoral Researcher A swimming sperm is tethered to a wall. To calculate the fluid flow around the flagellum with appropriate boundary conditions at the wall, we use the method of images to balance the forces. This creates a reflected image of the real sperm, with opposing forces, and the sperm heads meet at the wall in the middle. |

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Caption 15: | “Photon Torpedoes” by Mac Hyman Faculty Soliton solutions of the three-dimensional K(3,3) Rosenau-Hyman equations in a periodic domain. Solitons are special solutions of nonlinear wave equations that emerge from arbitrary initial data and maintain their shape after colliding with other solitons. These particular solitons are also compactons; they have compact support and are identically zero outside of a central core region. In this simulation, we see a train of compactons emerge from a spherical initial condition. The leading compaction leaves a bagel shape ring behind. This ring eventually collapses into matzo ball shaped compaction. |

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