Design a sleek and modern logo for a puzzle game that incorporates interlocking puzzle pieces in vibrant colors. The pieces should have a glossy finish and a slight 3D effect to add depth. Include abstract shapes and patterns within the puzzle pieces to convey complexity and intrigue. The overall design should have a playful yet sophisticated feel, appealing to a broad audience of puzzle enthusiasts. Aim for a balanced composition that ensures the logo is easily recognizable and visually striking when displayed on various backgrounds.

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Design a sleek and modern logo for a puzzle game that incorporates interlocking puzzle pieces in vibrant colors. The pieces should have a glossy finish and a slight 3D effect to add depth. Include abstract shapes and patterns within the puzzle pieces to convey complexity and intrigue. The overall design should have a playful yet sophisticated feel, appealing to a broad audience of puzzle enthusiasts. Aim for a balanced composition that ensures the logo is easily recognizable and visually striking when displayed on various backgrounds.