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The Formation of a Packard Snowflake. EPS 109 Final Presentation By Shefali Bhatia. Packard Snowflakes and their Growth Simulation Method. Two models for snowflake growth: Version of DLA that uses updated mass values instead of random walks
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The Formation of a Packard Snowflake EPS 109 Final Presentation By Shefali Bhatia
Packard Snowflakes and their Growth Simulation Method • Two models for snowflake growth: • Version of DLA that uses updated mass values instead of random walks • Cellular automata based on a hexagonal lattice seed state • Starts from a single occupied cell and creates a web that serves as boundary conditions for water solidification • Properties of Growth (Cellular Automata): • Different types of snowflakes (hex1, hex135, hex1456, etc.) • Hex1: A site with exactly one neighbor always becomes filled at the next time step, but a site with more than one neighbor does not • Hex1456: A site with exactly one, four, five, or six neighbors always becomes filled at the next time step, but a site with any other number of neighbors does not • What about the hexagonal lattice seed state? • Working with Cartesian coordinate plane (equivalent to a square lattice seed state), but can approximate the shape of the lattice by ignoring the top right and bottom left cells