Sunflower Showdown to pay for the construction of Allen Fieldhouse, which would seat 17,000. KU opened the facility with a 77–66 victory over Kansas State on March 1, 1955. This period also saw the beginning of the 'Sunflower Doubleheader', with two non-conference teams visiting the state to play KU and K-State at one venue one night, then switching venues and opponents the following evening. This event was held from 1957 to 1968, and featured national powerhouses such as UCLA, Xavier, San Francisco, St. Joseph's, Cal, and Marquette. The basketball rivalry between the two schools continued unabated through the 1960s and 1970s, with
Sunflower (mathematics) sunflower lemma, stating that if formula_40 and formula_41 are positive integers then a collection of formula_42 sets of cardinality at most formula_41 contains a sunflower with more than formula_40 sets. The sunflower conjecture is one of several variations of the conjecture of that the factor of formula_45 can be replaced by formula_46 for some constant formula_47. For formula_48 this is now known to be true, with constant formula_49. Sunflower (mathematics) In mathematics, a sunflower or formula_1-system is a collection of sets whose pairwise intersection is constant. This constant intersection is called the kernel of the sunflower. The main research question