## Chain Complex 2006 charcoal on paper 42 x 71 in

**My intro for this article and the featured image above…**

The structure of this metaphysics is mathematical in nature, chains of abelian clusters and a sequence of bifurcation from common origins.

## Contraction Mapping and Picard's Theorem 2007 charcoal and graphite on paper 25.5 x 40 in

**My intro for this article and the featured image above…**

Minor and major, great and little theorems compete in complexity in the minds of mathematicians. Relativity theory according to Émile Picard is lost in translation to many, truncated to few and contracted according to his theory of absolute values and a singularity...

## Invisible Cities (Hopf Fibration) 2006 charcoal on paper 39 x 53 in

**My intro for this article and the featured image above…**

Topographical landscapes of Hoph are differential and spherical in nature. The complexity “tore us” apart from Cartesian coordinates and moved in the direction of fractal replication…

## Quadric Parametrization I 2006 charcoal on paper 42 x 71 in

**My intro for this article and the featured image above…**

The quadradic surfaces in the rational sphere of influence hardly replicate beyond the mathematical mind. Intersectionality is quadradic when visualized in a space curve. Singularity is defining despite the null hypothesis. Rational?

## Shafarevich's Conjecture 2007 charcoal and graphite on paper 35 x 40 in

**My intro for this article and the featured image above…**

The number fields of Mordell, Shafarevich and now Faltings's theorem began in conjecture and surfaced as finite isomorphisms across time. Group theory is abelian and a matter of degree only. Polarization degrees of vectors influence counter factuals and the metaphysics of the mathematical mind.

## Tangent Space VI 2006 charcoal on paper 21 x 24 in

**My intro for this article and the featured image above…**

Conversations and thought vectors converge and bifurcate in counterfactuals outcomes and alternative realities. “A fine” space to remember is manifold beyond displacements of conventional language. Point by point the intention is missing. The proof is additive and yet fails in the opposite vector. Or does it?

## Whitehead Continuum I 2007 charcoal and graphite on paper 25 x 41 in

**My intro for this article and the featured image above…**

Inside out from within the cave is purely Aristotelean, or so it would seem. Observation is a tricky thing despite the apparent contradictions in mathematics. This contractible continuum defies definition for most yet the intersection persists within us.

## Wormhole Construction on Sigma T 2007 charcoal and graphite on paper 30.5 x 40 in

**My intro for this article and the featured image above…**

A wormhole is a speculative structure linking disparate points in spacetime is highly theoretical, beyond our biological capabilities, a traversable wormhole would require the existence of a timeless reality or the decoupling of our biology. The transhuman is the Übermensch, Thus Spoke Zarathustra.