The founder of the minaret, Khaje Zeyn od-Din, was one of the dignitaries of the Timurid era in the 15th century.
He also built a khanqah beside the minaret.
It seems that minaret was originally 47 m high, but more than half of it was destroyed in 1931 by the decision of the governor and mayor of Kashan.
Strong earthquakes during the centuries made the minaret lean.
[1] This article about an Iranian building or structure related topic is a stub.