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Packard Snowflake Growth: Models & Simulations

Explore Packard snowflake formation using two growth models - DLA simulation with updated mass values and cellular automata on hexagonal lattice seed state. Discover different snowflake types and properties of growth. Dive into Hex1 and Hex1456 simulations in 2D and 3D layers. Uncover the intricacies of seed states and lattice shapes.

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Packard Snowflake Growth: Models & Simulations

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  1. The Formation of a Packard Snowflake EPS 109 Final Presentation By Shefali Bhatia

  2. 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

  3. Hex 1 2D Snowflake Simulation

  4. Hex 1 3D Layered Snowflake Simulation

  5. Hex 1456 2D Snowflake Simulation

  6. Hex 1456 3D Layered Snowflake Simulation

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