A list of the most beautiful and fascinating mathematical identities are given here
http://doc.rmf.pl/rmf_fm/store/74738_Zeki_DataSheet1.pdf
Feel free to grade them in terms of their "beauty"
Of these, the pick of the mathematical community is the first identity - Euler's equation. It is often fondly referred to as "God's equation"
Here's a link devoted to this identity
https://www.livescience.com/51399-eulers-identity.html
Identities (14) and (15) belong to Srinivasa Ramanujan. Referring to the collection of such mathematical formulae from Ramanujan, the mathematician Watson commented, they ‘give me a thrill which is indistinguishable from the thrill which I feel when I enter the Sagrestia Nuova of Capelle Medicee and see before me the austere beauty’ of Michelangelo’s art works". Chandrasekhar calls it the ‘shuddering before the beautiful’.
http://doc.rmf.pl/rmf_fm/store/74738_Zeki_DataSheet1.pdf
Feel free to grade them in terms of their "beauty"

Of these, the pick of the mathematical community is the first identity - Euler's equation. It is often fondly referred to as "God's equation"
Here's a link devoted to this identity
https://www.livescience.com/51399-eulers-identity.html
Identities (14) and (15) belong to Srinivasa Ramanujan. Referring to the collection of such mathematical formulae from Ramanujan, the mathematician Watson commented, they ‘give me a thrill which is indistinguishable from the thrill which I feel when I enter the Sagrestia Nuova of Capelle Medicee and see before me the austere beauty’ of Michelangelo’s art works". Chandrasekhar calls it the ‘shuddering before the beautiful’.
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