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Investopedia explains 'Gann Fans'
Gann Fans were developed by W. D. Gann, who was also known for his accurate financial predictions, called the Gann studies, in the early 1900s. Gann's ideal angle was a 45 degree angle based on his ideal balance of time and price. However, because the construction of a Gann fan relies heavily on subjective choices made by individual traders, the chart may be limited in its usefulness and accuracy. The three premises Gann based his theory on were: i) price, time and range are the only factors, ii) cyclical markets, and iii) geometric market design.
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