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Recall that in all the examples of multilayered elliptic flower billiards, studied in the present paper, all petals (regular components of the boundary) belonged solely to the primary or to the second layer of the base polygon. Therefore in what follows we'll consider the best billiards on this class called special one layer (SOL) elliptic flowers. 1 is defined as follows. In what follows we will refer to this class of billiards as to circular flowers. Corollary 4.7 states that every nontrivial path will converge to some elusive point. Q. A point particle moves along the straight traces inside Q