John A. Hiigli – Layering the Isotropic Vector Matrix
Sunday, 1 December 2013
Cr 176 Three Cube Octahedrons (Front) – John A. Hiigli
John A. Hiigli’s transparent pigment paintings and drawings combine aspects of transformation geometry, tessellation and subdivsioning systems. After discovering the work of Buckminster Fuller in the late 1960’s, and studying Fuller’s Geodesics and Synergetics, Hiigli has refined a body of work in which, typically, tetrahedral or polyhedral units are combined and layered to create dense lattices and translucent three-dimensional structures.
Cr 175 Three Cube Octahedrons (Side) – John A. Hiigli
Cr 194 Cube Octahedrons – John A. Hiigli
Many of Hiigli’s paintings model Buckminster Fuller’s Isotropic Vector Matrix – a skeletal framework and alternative to the standard xyz system, defined by cubic closest packed spheres, alternatively known as the face-centered cubic lattice to crystallographers. The spatial system of Isotropic Vector Matrix essentially translates to a geometry of least resistance.
CR56 – John A. Hiigli
CR50 – John A. Hiigli
CR143 – John A. Hiigli
‘When the centers of equiradius spheres in closest packing are joined by most economical lines, an isotropic vector matrix is disclosed. This matrix constitutes an array of equilateral triangles that corresponds with the comprehensive coordination of nature’s most economical, most comfortable, structural interrelationships. Remove the spheres and leave the vectors, and you have the octahedron-tetrahedron complex, the octet truss, the isotropic vector matrix’ – Buckminster Fuller.
Virus XIX – John A. Hiigli
Cr 185 Kaleidoscope – John A. Hiigli
CR39 – John A. Hiigli
‘In complex constructions, increasing numbers of polyhedrons have a common nucleus embedded in a vector matrix. A large structure is embedded with a smaller structure, which encloses a smaller third structure, and so on. This decreasing volumetric relationship (‘change of scale’) of the structures produces the illusion of depth in space’ – John A. Hiigli
Synergetics – Buckmister Fuller