Harmonic Perspective

Jeannie Moberly and I (CJ Fearnley) have been studying interrelationships between representation, perspective and the harmonic property. We call it "Harmonic perspective". It is inspired by projective geometry.

Bridges 2015

We prepared a short four page paper "Perspectives on Borges' Library of Babel", a presentation, Jeannie's artwork Borges' Library of Babel and other supplementary resources. On 29 July 2015 from 2:45-3:00 PM, we gave a 15 minute performance/presentation at Bridges 2015.

• The Web version of our peer-reviewed paper that appeared in the Proceedings of the Bridges 2012 Conference
  • Original paper in the Proceedings of the Bridges 2015 Conference (on Bridges' website)
• The presentation slides prepared for Bridges 2015
• The transcript of our prepared remarks for Bridges 2015
• Jeannie's artwork "Borges' Library of Babel" is included in the Bridges 2015 Mathematical Art Gallery for Jeannie Moberly
• Jeannie Moberly's piece Borges' Library of Babel consists of intersecting planes made of hardboard painted with acrylic and oil. It was accepted into the Bridges 2015 juried Art Show for their international debut.
  

  Borges' Library of Babel (View of Apollonian Ventilation Shafts)

  

  Borges' Library of Babel (Other View)

Bridges 2012

We prepared a short four page paper on Harmonic Perspective, a presentation and other supplementary resources. On 25 July 2012 from 3:15-3:30 PM, we gave a 15 minute performance/presentation at Bridges 2012.

• The Web version of our peer-reviewed paper that appeared in the Proceedings of the Bridges 2012 Conference
  • Original paper in the Proceedings of the Bridges 2012 Conference (on Bridges' website)
• The presentation slides prepared for Bridges 2012
• The transcript of our prepared remarks for Bridges 2012
• CJ's essay on "Models of Projective Geometry"
• Three of Jeannie's artworks appeared in the Bridges 2012 Mathematical Art Gallery for Jeannie Moberly
• Jeannie Moberly's three pieces on Harmonic Perspective are intersecting planes made of hardboard painted with acrylic and oil. They were accepted into the Bridges 2012 juried Art Show for their international debut.
  

  Here Kitty

  

  Inside Out

  

  Intentional Cut

Prior Work

We first found reference to Harmonic Perspective in J. L. S. Hatton's 1913 book "The Principles of Projective Geometry Applied to the Straight Line and Conic". Another more recent resource is Paris Pamfilos's page on Harmonic perspectivity in his Geometrikon.

Author Information