Which famous technology company deliberately incorporated the Golden Ratio (φ ≈ 1.618) in the design of their logo, using it to create perfectly balanced proportions that contribute to its brand recognition?

The mathematics behind successful brand designs is often overlooked, yet some of the world's most recognizable logos incorporate precise mathematical principles. The Golden Ratio (approximately 1.618:1) appears frequently in designs that humans find aesthetically pleasing. Test your knowledge about how this mathematical concept has influenced major brand identities and their market success.

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Apple
Microsoft
Samsung
IBM