Sign Combinatorial Spaces, Finite Sequences and Logarithmic Spirals

Introduction. Sign combinatorial spaces that exist in two states: convolute (tranquility) and deployed (dynamics), are considered. Spaces, particular biological, physical, informational some others, for which the axioms of sign spaces, valid, have a nature. When they deployed, numbers (Fibonacci numbers) formed, through logarithmic spirals appear living These formed due to finite sequences take place during deployment agreed presented geometrically using polar coordinates. Formulation problem. The spiral is represented “golden rectangle” one side 1,618 times longer (“golden” number or golden section). presence ratio nature manifested Fibonacci numbers, from an arithmetic triangle elements by spaces. But this transmitted indirectly. problem trace its formation constructed sequences, approach proposed. Using unfolding representation their coordinates, we can dynamics Conclusion. Representation biological space as explain various phenomena these sums members determine configurations subset isomorphic form (Pascal’s triangle). and, accordingly, triangle. fits into rectangle. traced result