Forma, Vol. 9 (No. 3), pp. 259-272, 1994
Original Paper

Star Cage: New Dimension of the Penrose-Lattice

Akio Hizume

Fusetakada 876, Shinonoi, Nagano 388, Japan

(Received March 7, 1994; Accepted July 1, 1994)

Keywords: Penrose-Lattice, Golden Section, Quasi-Periodic, Self-Supporting

Abstract. The golden section is the simplest fractal generator. Dead-locked contemporary arts had to take up such a new mathematical tool, and afterwards the attempts to apply it to creation have inspired fundamental science, just as M. C. Escher did. The Penroselattice will innovate not only music, graphics and architectural design, but also human thought. It is a tool that unveils the form of the nested universe as Ouroboros.