The Paley graph of order 9 is a perfect graph, making it an appropriate object of veneration and study on June 28, a perfect day. Image: David Eppstein, via Wikimedia commons.
Whether you write it 6/28 or 28/6, today is a perfect day. A perfect number is a number that is the sum of its factors besides itself, and 6 (1+2+3) and 28 (1+2+4+7+14) are the first two perfect numbers. Hence, June 28 is a perfect day. Perfect numbers are few and far between, so don’t hold out for a celebration in which the year is perfect as well. The last time that happened was in 496, and the next time is over 6,000 years away, in 8128.
Read the full post, including tips for celebrating many forms of perfection, at Roots of Unity.
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