Drawing the Sierpinski Triangle with Bitwise Operations: A Stunning Bit Twiddling Hack
2025-05-10
This article unveils a stunning bit manipulation trick: generating the famous Sierpinski triangle fractal using only a simple bitwise AND operation (&). The author meticulously breaks down the bitwise operation, revealing the underlying mathematical principles. It shows how the inherent fractal nature of binary counting and iterative block removal, achieved through bitwise manipulation, generates the classic Sierpinski triangle. This technique cleverly leverages the binary operation capabilities of computers, simplifying the seemingly complex process of generating graphics into concise code, resulting in an astonishingly elegant solution.
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