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Many different groups can occur simultaneously
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Most common oscillators in Game of Life converge into still patterns and quickly shut off.
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Example of an emerging Entropy board
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A complicated Sandpile many generations in
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Many randomly generated patterns converge to floods spanning most of the board, featuring some islands that remains till.
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A glider in our grid does not last forever - it eventually runs into the same cells and merges with adjacent ones.
Inspiration
We were inspired by flood-filling algorithms and Conway's game of life, and we wanted to make a program that combines them and creates an interactive application that expands upon both concepts.
What it does
Our program initially simulates Conway's game of life, but after a cell is activated a certain number of times, the "entropy" of its ortho-neighbors would increase. When the ortho-neighbors have a high enough entropy, they merge with the cell, creating a group of cells. This group is indicated with a new number. Groups would then act as individual cells and they would follow a modified ruleset based on the Game of Life.
How we built it
Each member did some of the coding on their own device using Java. We handled version control using a GitHub repository.
Challenges we ran into
It was difficult to calculate the neighbors of the groups of cells and remove duplicates. We solved this by using the set data structure and setting cells in the same group or on the same coordinates as equivalent to each other. It was also difficult to implement the proportional ruleset for whether cells live or die. Since the number of neighbors is variable as opposed to constant, we developed a system based on percentages instead of the numbers of neighbors.
Accomplishments that we're proud of
We built Conway's Game of Life from scratch and expanded it to include groups of cells and rules for combining the groups of cells together. We defined how these groups would interact with their neighboring cells and designed a consistent ruleset that defined their behavior.
What we learned
We practiced implementing different elements in Java and practiced applying different data structures.
What's next for Entropy of Life
We plan to expand the entropy settings and implement changes so that blobs separate again after their entropy falls below a certain threshold. This will make the system more dynamic so that patterns can continue for longer. We hope this can make a Turing-complete system, just like the original Game of Life.




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