Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture
Pages 443–446
Short Papers
Abstract
This study builds on our Bridges 2012 work on Harmonic Perspective. Jeannie's artwork explores 3D spaces with an intersecting plane construction. We used the subject of the remarkable “Universe (which others call the Library)” of Jorge Luis Borges. Our study explores the use of harmonic sequences and nets of rationality. We expand on our prior use of harmonics in Apollonian circles to a pencil of nonintersecting circles. Using matrix distortion and ambiguous direction in the multiple dimensions of a spiral staircase in the Library we break from harmonic measurements. We wonder about the contrasting perspectives of unimaginable finiteness and infiniteness.