2024
Quantization of a New Canonical, Covariant, and Symplectic Hamiltonian Density.
Symmetry, March, 2024
2023
Autopoiesis and Eigenform.
Comput., December, 2023
2022
Calculus, Gauge Theory and Noncommutative Worlds.
Symmetry, 2022
Invariants of Bonded Knotoids and Applications to Protein Folding.
Symmetry, 2022
On ribbon graphs and virtual links.
Eur. J. Comb., 2022
2021
Iterants, Majorana Fermions and the Majorana-Dirac Equation.
Symmetry, 2021
Finite type invariants for knotoids.
Eur. J. Comb., 2021
2019
Topological aspects of quantum entanglement.
Quantum Inf. Process., 2019
2018
Correction to: Braiding, Majorana fermions, Fibonacci particles and topological quantum computing.
Quantum Inf. Process., 2018
Braiding, Majorana fermions, Fibonacci particles and topological quantum computing.
Quantum Inf. Process., 2018
Non-Commutative Worlds and Classical Constraints.
Entropy, 2018
Virtual Logic-The Erdos Machine.
Cybern. Hum. Knowing, 2018
2017
Skein Invariants of Links and Their State Sum Models.
Symmetry, 2017
A concise approach to eigenform and reflexivity.
Kybernetes, 2017
Investigation of Bifurcations in the Process Equation.
Int. J. Bifurc. Chaos, 2017
New invariants of knotoids.
Eur. J. Comb., 2017
Virtual Logic-Cookie and Parabel Discuss Laws of Form.
Cybern. Hum. Knowing, 2017
Cybern. Hum. Knowing, 2017
Virtual Logic-The Logic of Quantum Theory.
Cybern. Hum. Knowing, 2017
2016
Virtual Logic-George Spencer-Brown (2 April 1923 - 25 August 2016).
Cybern. Hum. Knowing, 2016
Virtual Logic-Finite Language and the Imagination of Infinity.
Cybern. Hum. Knowing, 2016
Remembrance of Things Past.
Cybern. Hum. Knowing, 2016
Proceedings of the Open Problems in Mathematics., 2016
2015
In Memoriam: Slavik Jablan 1952-2015.
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Symmetry, 2015
Virtual Logic-Laws of Form and the Mobius Band.
Cybern. Hum. Knowing, 2015
Foreword: Ranulph Glanville and How to Live the Cybernetics of Unknowing A Festschrift Celebration of the Influence of a Researcher.
Cybern. Hum. Knowing, 2015
Infinite computations and the generic finite.
Appl. Math. Comput., 2015
2014
Virtual Logic-The Yablo Paradox.
Cybern. Hum. Knowing, 2014
On Creation From Nothing.
Cybern. Hum. Knowing, 2014
Virtual Logic-Set Theory and the Continuum Hypothesis.
Cybern. Hum. Knowing, 2014
Chemlambda, Universality and Self-Multiplication.
Proceedings of the Fourteenth International Conference on the Simulation and Synthesis of Living Systems, 2014
2013
GLC actors, artificial chemical connectomes, topological issues and knots.
CoRR, 2013
Laws of Form and Topology: Presentation and Discussion.
Cybern. Hum. Knowing, 2013
Virtual Logic-Extainers, Containers and the Logic of DNA.
Cybern. Hum. Knowing, 2013
2012
Following Knots down Their Energy Gradients.
Symmetry, 2012
Virtual Logic-The Combinatorial Hierarchy: 'One, Two, Three, Infinity!'.
Cybern. Hum. Knowing, 2012
Categorical pairs and the indicative shift.
Appl. Math. Comput., 2012
2011
Virtual Logic-Number and Imagination.
Cybern. Hum. Knowing, 2011
Eigenforms and Quantum Physics.
Cybern. Hum. Knowing, 2011
Peirce's Existential Graphs.
Cybern. Hum. Knowing, 2011
2010
Virtual Logic - The Square Root of Two.
Cybern. Hum. Knowing, 2010
Virtual Logic-Circularity, Knots and the ASC.
Cybern. Hum. Knowing, 2010
2009
Determinants of Rational Knots.
Discret. Math. Theor. Comput. Sci., 2009
Virtual Logic: Cantor's Paradise and the Parable of Frozen Time.
Cybern. Hum. Knowing, 2009
2008
Topological-Like Features in Diagrammatical Quantum Circuits.
Quantum Inf. Process., 2008
Quantum knots and mosaics.
Quantum Inf. Process., 2008
Virtual Logic: The Berry Paradox and Chaitin's Theory of Algorithmic Complexity.
Cybern. Hum. Knowing, 2008
On the minimum number of colors for knots.
Adv. Appl. Math., 2008
2007
Is Grover's Algorithm a Quantum Hidden Subgroup Algorithm?
Quantum Inf. Process., 2007
Virtual Logic - The Small Machine.
Cybern. Hum. Knowing, 2007
Spin Networks, Quantum Topology and Quantum Computation.
Proceedings of the Logic, 2007
2006
Cybern. Hum. Knowing, 2006
2005
Yang-Baxterizations, Universal Quantum Gates and Hamiltonians.
Quantum Inf. Process., 2005
Reformulating the map color theorem.
Discret. Math., 2005
Virtual Logic: The One and the Many.
Cybern. Hum. Knowing, 2005
2004
Virtual Logic-Syllogisms.
Cybern. Hum. Knowing, 2004
Virtual Logic: Fragments Of The Void - Selecta.
Cybern. Hum. Knowing, 2004
On the classification of rational tangles.
Adv. Appl. Math., 2004
2003
Temperely-Lieb Algebras and the Four-Color Theorem.
Comb., 2003
Eigenforms - Objects as Tokens for Eigenbehaviors.
Cybern. Hum. Knowing, 2003
Virtual Logic - Thoughts about Set Theory.
Cybern. Hum. Knowing, 2003
2002
Laws of Form and Form Dynamics.
Cybern. Hum. Knowing, 2002
2001
Virtual logic - The key to Frege.
Cybern. Hum. Knowing, 2001
Peirce and Spencer-Brown: history and synergies in cybersemiotics.
Cybern. Hum. Knowing, 2001
Virtual logic - reasoning and playing with imaginary boolean values.
Cybern. Hum. Knowing, 2001
On the cybernetics of fixed points.
Cybern. Hum. Knowing, 2001
The mathematics of Charles Sanders Peirce.
Cybern. Hum. Knowing, 2001
2000
Virtual logic - formal arithmetic.
Cybern. Hum. Knowing, 2000
Virtual logic - infinitesimals and zero numbers.
Cybern. Hum. Knowing, 2000
1999
Virtual logic - The MetaGame Paradox.
Cybern. Hum. Knowing, 1999
Virtual logic - The Flagg Resolution.
Cybern. Hum. Knowing, 1999
The Process Equation: Formulating and Testing the Process Theory of Systems.
Cybern. Syst., 1999
1998
Virtual logic - The Smullyan Machine.
Cybern. Hum. Knowing, 1998
Virtual Logic - symbolic logic and the calculus of indications.
Cybern. Hum. Knowing, 1998
Virtual logic - self-reference and the calculus of indications.
Cybern. Hum. Knowing, 1998
Virtual logic - the calculus of indications.
Cybern. Hum. Knowing, 1998
1997
Physically-Based Stochastic Simplification of Mathematical Knots.
IEEE Trans. Vis. Comput. Graph., 1997
1996
Untangling Knots by Stochastic Energy Optimization.
Proceedings of the 7th IEEE Visualization Conference, 1996
1994
Visualizing quaternion rotation.
ACM Trans. Graph., 1994
The Conway Polynomial in <i>R</i><sup>3</sup> and in Thickened Surfaces: A New Determinant Formulation.
J. Comb. Theory B, 1994
Proceedings of the 24th IEEE International Symposium on Multiple-Valued Logic, 1994
1993
Scientific and artistic investigation of multi-dimensional fractals on the AT&T Pixel Machine.
Vis. Comput., 1993
1992
Decomposition of the vertex group of 3-manifolds.
Discret. Math., 1992
1990
Map coloring and the vector cross product.
J. Comb. Theory B, 1990
Interactive Visualization of Quaternion Julia Sets.
Proceedings of the 1st IEEE Visualization Conference, 1990
1989
A Tutte polynomial for signed graphs.
Discret. Appl. Math., 1989
Ray tracing deterministic 3-D fractals.
Proceedings of the 16th Annual Conference on Computer Graphics and Interactive Techniques, 1989
1978
De Morgan Algebras - completeness and recursion.
Proceedings of the eighth international symposium on Multiple-valued logic, 1978