The Formation of a Packard Snowflake

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Presentation transcript:

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

Hex 1 2D Snowflake Simulation

Hex 1 3D Layered Snowflake Simulation

Hex 1456 2D Snowflake Simulation

Hex 1456 3D Layered Snowflake Simulation