Design a sleek, modern logo for a puzzle game featuring interlocking geometric shapes that symbolize connection and problem-solving. Incorporate a vibrant color palette with contrasting tones to evoke a sense of fun and excitement. The shapes should have smooth curves and sharp angles, balancing elegance with playfulness. Consider adding subtle textures or gradients to enhance depth, while keeping the overall look minimalistic and stylish. The design should be instantly recognizable and convey the essence of a challenging and engaging puzzle experience.

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Design a sleek, modern logo for a puzzle game featuring interlocking geometric shapes that symbolize connection and problem-solving. Incorporate a vibrant color palette with contrasting tones to evoke a sense of fun and excitement. The shapes should have smooth curves and sharp angles, balancing elegance with playfulness. Consider adding subtle textures or gradients to enhance depth, while keeping the overall look minimalistic and stylish. The design should be instantly recognizable and convey the essence of a challenging and engaging puzzle experience.