22 citations · 44 across the 9 of their papers we have counts for
9 papers
Revisiting Taxicab Apollonius Circles
Kevin P. Thompson
The existence of excircles and an Apollonius circle for a triangle in taxicab geometry are connected to the concept of inscribed triangles.
Time Independent Universal Computing with Spin Chains: Quantum Plinko Machine
Kevin Thompson, Can Gokler, Seth Lloyd +1
We present a scheme for universal quantum computing using XY Heisenberg spin chains. Information is encoded into packets propagating down these chains, and they interact with each…
Taxicab Butterflies
Kevin P. Thompson
The Butterfly Theorem is explored in Taxicab Geometry.
Taxicab Calculus: Trig Derivatives
Kevin P. Thompson
The set of trigonometric functions in taxicab geometry is completed and derivatives of all of the taxicab trigonometric functions are explored.
Taxicab Triangle Incircles and Circumcircles
Kevin P. Thompson
Inscribed angles are investigated in taxicab geometry with application to the existence and uniqueness of inscribed and circumscribed taxicab circles of triangles.
The Nature of Length, Area, and Volume in Taxicab Geometry
Kevin P. Thompson
While the concept of straight-line length is well understood in taxicab geometry, little research has been done into the length of curves or the nature of area and volume in this g…