シェルピンスキーの三角形生成ツールとは？

無料のオンライン シェルピンスキーの三角形生成ツール。シェルピンスキーの三角形フラクタルをビジュアル生成。

The Sierpinski triangle is one of the most recognizable fractals in mathematics — a self-similar pattern where a large equilateral triangle is divided into smaller triangles, with the central triangle removed at each level of recursion. This creates an infinitely repeating pattern where each part is a reduced copy of the whole. Sierpinski Triangle Generator creates stunning visualizations with customizable recursion depth and gradient colors.

The recursion depth slider controls the number of iterations from 1 to 8. At depth 1, you see the initial triangle. At depth 2, it is divided into 4 smaller triangles with the center one removed. Each additional depth multiplies the number of triangles, creating exponentially more detail. At depth 8, the fractal contains 3^8 = 6,561 individual triangles.

Two color pickers let you choose a gradient that fills the triangles. The colors transition from the outer triangles (color 1) to the innermost triangles (color 2), creating a smooth gradient effect across the recursive structure. The dark background makes the vibrant triangle fills pop visually.

The fractal renders instantly as you adjust settings. The Canvas-based rendering handles high recursion depths efficiently. Download the result as a high-quality PNG image suitable for printing, presentations, or sharing on social media. The infinite self-similarity is mesmerizing to watch at different zoom levels.