Jeannie Moberly
Harmonic Perspective
In projective geometry basic incidence relations and duality are
primary. Perspective is an elementary relation between points or lines
linked to perspective drawing. Harmonics are geometric invariants
featuring a fundamental fourness divided into two pairs. Using
different definitions of harmonics, from basic incidence constructions
to non-projective ones with circles, angles and distance ratios I've
made three artworks that explore harmonics, perspective and their
interrelationships. They are composed on hardboard painted with
acrylic and oil. My pieces create 3D spaces with intersecting planes
and based on CJ's diagrams made with Geogebra are an attempt to
understand projective space without the influences of Renaissance and
photographic perspective.
In Here Kitty harmonics are set up using a complete quadrangle and its diagonal points to find the conjugates. Various quadrangles in various planes share a harmonic line. Quadrangles can switch diagonal and conjugate points.
In Intentional Cut harmonic pencils derived from 2 lines intersect in a quadrangle whose points will act in the involution of conjugate points along the harmonic line on the left which has one distant invariant point.
Inside Out features an an Appollonian circle construction of a harmonic line and an inversion through separate conics so the observer observes the observer iteratively.