Design a sleek and modern logo for a social app, featuring an abstract symbol that conveys connectivity and interaction. Utilize a vibrant color palette with gradients of blue and purple to evoke feelings of innovation and community. Incorporate geometric shapes that suggest movement and engagement, with subtle curves to soften the design. The overall look should be minimalist yet eye-catching, making it easily recognizable and appealing to a youthful audience.

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Design a sleek and modern logo for a social app, featuring an abstract symbol that conveys connectivity and interaction. Utilize a vibrant color palette with gradients of blue and purple to evoke feelings of innovation and community. Incorporate geometric shapes that suggest movement and engagement, with subtle curves to soften the design. The overall look should be minimalist yet eye-catching, making it easily recognizable and appealing to a youthful audience.