Create a sleek and modern logo for a puzzle game, featuring interconnected puzzle pieces that form a unique geometric shape. Utilize a vibrant color palette with contrasting colors to evoke excitement and intellectual challenge. The design should incorporate subtle gradients and shadows to add depth, while maintaining minimalism and a playful essence. The overall look should convey a sense of fun, strategy, and creativity, suitable for both casual and serious gamers.

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Create a sleek and modern logo for a puzzle game, featuring interconnected puzzle pieces that form a unique geometric shape. Utilize a vibrant color palette with contrasting colors to evoke excitement and intellectual challenge. The design should incorporate subtle gradients and shadows to add depth, while maintaining minimalism and a playful essence. The overall look should convey a sense of fun, strategy, and creativity, suitable for both casual and serious gamers.