Color-coding of cells:
Black (0)– the vacant or dead state,
Red, Yellow, or Blue (1, 2, or 3)– 3 various “to life” states.
Tryout of a brand-new rule-set for the 4-state collection. The tornado rise incorporated with high trend swamped lots of residences & automobiles near the sea, bay, creeks, and canals in my location. There was not much rainfall at high trend, so I assume this is what saved lots of various other homes at a little greater altitude.
2-Dimensional mobile robot, hexagonal range,
Hexagonal Cell Array: dimension starts at 16 x 16 (rows x columns), expands incrementally, getting to 120 x 120 on time-step 92, and afterwards continues to be consistent.
ACTION 4). After every cell is upgraded on the short-term grid, the primary grid is re-initialized to all absolutely nos, and after that the short-lived grid is replicated to the primary grid.
Program: “Hexagon-Multiverse 1.0” (unpublished), PHP language.
Online cell populace: beginnings at 4, and gets to an optimum of 2604 on time-step 158, and finishes with 1918 the last time-step 312.
ACTION 2). Include a beginning “seed” pattern to the primary grid by transforming several of the cell worths to “1” (on/alive). In some cases details small seeds are made use of, conversely in some cases they are an arbitrary disorganized spread of ones that II phone call “prehistoric soup”.
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General Procedure:
Make a 2-dimensional grid (selection) of “cells” which can each have a worth of 0 (off/dead) or 1 (on/alive). Conway’s well-known “Game of Life” mobile robot utilizes a square grid, however below we make use of a hexagonal grid (chicken-wire or honeycomb).
Routine limit problems: upright & straight measurements cover throughout contrary sides, offering a limited shut continual surface area matching to a 2-torus (the surface area of a conventional 3-d ring donut).
Make a 2-dimensional grid (selection) of “cells” which can each have a worth of 0 (off/dead) or 1 (on/alive). Conway’s popular “Game of Life” mobile robot makes use of a square grid, yet below we make use of a hexagonal grid (chicken-wire or honeycomb). Include a beginning “seed” pattern to the primary grid by transforming some of the cell worths to “1” (on/alive). When taking a look at each cell, the complete number of real-time next-door neighbor cells is counted amongst its 6 instantly nearby next-door neighbor cells (if utilizing “totalistic” policies). The Game of Life utilizes a square grid, while the HMCA utilizes a much more all-natural (usual in nature) and extra in proportion hexagonal grid.
System: MacBook Pro (M1), Sonoma 14.1.1 OS, Safari 17.1 internet browser.
These 3 various active states do not represent any type of straightforward residential property of the cell pattern. This differs frequently seen totalistic (” sum-of-neighbors”) rule-sets.
Time: 312 actions (screen price 5 fps). The last & very first frameworks are revealed for 1 & 2 secs, specifically.
When checking out each cell, the complete number of real-time next-door neighbor cells is counted amongst its 6 right away surrounding next-door neighbor cells (if utilizing “totalistic” policies). In order to not disrupt the cell pattern that is being upgrading, all of these brand-new worths are built up on a different short-lived grid
Rule-set 36 numbers: 130003000000023300113102201103030001000303001032302230000020000100202223003020101000311,
This rule-set was located by pure arbitrary search.
Repeat Steps 3 & 4 for hundreds or thousands of versions. The grid is limited, so the real-time cell pattern will ultimately go repeat or go vanished, although this can take thousands of time-steps.
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Keep in mind: this “Hexagon-Multiverse” (HMCA) mobile robot resembles Conway’s renowned “Game of Life” in the feeling that both are 2-dimensional, have binary cell states, and are deterministic and concurrent. The Game of Life makes use of a square grid, while the HMCA utilizes an extra all-natural (typical in nature) and much more balanced hexagonal grid. In addition, the HMCA accomplishes fascinating outcomes utilizing a selection of rule-sets, whereas the Game of Life is restricted to a solitary rule-set.
