22 citations · 44 across the 9 of their papers we have counts for
6 papers · 1 filter
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…
Arbitrary Sectioning of Angles in Taxicab Geometry
Kevin P. Thompson
A construction to arbitrarily section a taxicab angle into an equal number of angles in (pure) taxicab geometry is presented.
Taxicab Angles and Trigonometry
Kevin Thompson, Tevian Dray
A natural analogue to angles and trigonometry is developed in taxicab geometry. This structure is then analyzed to see which, if any, congruent triangle relations hold. A nice appl…