Maģiskie polimondi un to īpašības

Abstract

Darbā pētītas plaknes figūras – maģiskie polimondi. Iegūti vairāki rezultāti par šādu polimondu laukumu ekstremālajām vērtībām, kā arī maģisko polimondu eksistences nepieciešamais un pietiekamais nosacījums. Uzrādīta perfektu polimondu praktiska konstrukcija jebkuram malu skaitam n = 8k - 2.

In this paper plane shapes – magic polyiamonds are examined. Several results about extremal values of polyiamond area have been obtained, as well as the necessary and sufficient condition of existence of magic polyiamonds has been obtained. Practical construction of perfect polyiamonds has been presented for every number of edges n = 8k – 2.