Generate an intricate, 3D representation of the Sierpinski triangle, with layers of triangles nested within each other, forming a visually striking and symmetrical fractal pattern, using a fictional, iridescent, and glowing color palette with shades of purple, blue, and silver, on a black background.

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Generate an intricate, 3D representation of the Sierpinski triangle, with layers of triangles nested within each other, forming a visually striking and symmetrical fractal pattern, using a fictional, iridescent, and glowing color palette with shades of purple, blue, and silver, on a black background.