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Conference publicationsAbstractsXVIII conferencePhyllotactic Representation of CalendarsTolbukhina 7-1-167, Moscow, 121596, Russia; Tel.: 8-(495) 448-13-34, m. 8-903-2481210; E-mail: dweise@gol.ru 1 pp. (accepted)Everywhere we observe the periodic phenomena, for example, change of day to night, seasons of year, etc. Usually for the image of these time phenomena use rectangular or circular tables (calendars, dial of hours). In the general words, rectangular tables are habitual for perception, they transfer originality of varying years, but graphically cycle form, i.e. a circle symbolizing repetition, is lost. Circular tables are closed, and all periods appear similar one on another. The spiral form, in a sense, is intermediate. It unites advantages and levels lacks of both mentioned above forms. However, the spiral table is not habitual and is not so easy for perception. Often used structure for the description of an arrangement of leaves on plants (phyllotaxis) is the integer lattice in polar or cylindrical system of coordinates. From arithmetic positions in these lattices obvious spiral rows of the points numbered by the age represent residue classes modulo m. As a rule, modules on plants are Fibonacci numbers. Modular arithmetic is the reliable tool for work with calendars. The generality of the methodical approach to periodicity in plants and in time phenomena has prompted new graphic images of the well known phenomena. In the work some of possible constructions of periodic time processes in phyllotactic style are presented: Chinese calendar 60-year cycle, Maya calendar 260-year cycle, Daaríisky Krugolét Chislobóga 144-year cycle, Metonic 19-year lunar cycle.
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