Quiz time: Can you recognize the following pattern? 突擊測驗：你能認出 以下圖案嗎？ Animation 動畫： The Number Sequence That Needs to Be Said (Issue 023) 唸出數列之必要：聽射性 數列（第二十三期） Conway’s Game of Life Conway的生命遊戲 15 Table 1 The four rules of the Game of Life [1]. Each cell has eight neighbors. Shaded cells are alive while empty cells are dead. By Helen Wong 王思齊 John Horton Conway: The Mathematician Who Made Math Fun John Horton Conway: 讓數學變得有趣的數學家 The Game of Life If you are an avid fan of the Game of Life, you will immediately identify this as the famous Gosper glider gun. However, for those new to the game, you might be surprised to learn that this lifelike animated pattern – a gun periodically firing a stream of gliders – is built upon a deceptively straightforward set of rules [1] (Table 1). The player can start the game by specifying a “seed pattern,” which will “evolve” in each round (or “generation”) based on the rules. Some hardcore fans have classified the output and created a lexicon with all the special “life forms.” 2. Survival: A live cell survives when it has two or three live neighbors. 1. Birth: A dead cell becomes alive when it has three live neighbors. 3. Death (underpopulation): A live cell dies when it has one or no live neighbors. 4. Death (overpopulation): A live cell dies when it has four or more live neighbors.
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