Some Interesting Observations Regarding the Spidrons

Dániel Erdély and Walt van Ballegooijen
Bridges Leeuwarden: Mathematics, Music, Art, Architecture, Culture (2008)
Pages 333–340


In the following paper we are going to present some of our surprising new findings, which encourage us to continue our long-term investigation of the movement and other interesting properties of Spidrons[1]. We undertook here to present the peculiar tilting of some of the spidron edges during the continuous spidron movement, the simultaneous appearance of different angles, which are typical of cubic and diamond lattices, spidronized Penrose-tilings, the Kepler-tile shadows of certain edges of quasicrystals that are defined by the bisections of them by specific spidronnests, and other curiosities.