A whimsical, maintenance-free gear with bold, geometric shapes and bright, enamel-like colors. Incorporate a subtle clock face on one of the gear's facets, with numerals carefully integrated into the design to subtly hint at the mathematical themes. The remaining geometric elements should be made up of sharp, stepped planes with mirrored reflective surfaces to create a sense of depth and dynamism. The logo should be readable and recognizable in various sizes and resolutions.

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A whimsical, maintenance-free gear with bold, geometric shapes and bright, enamel-like colors. Incorporate a subtle clock face on one of the gear's facets, with numerals carefully integrated into the design to subtly hint at the mathematical themes. The remaining geometric elements should be made up of sharp, stepped planes with mirrored reflective surfaces to create a sense of depth and dynamism. The logo should be readable and recognizable in various sizes and resolutions.