Mathematica Packages

Métodos computacionales para demostrar identidades combinatorias

Métodos computacionales para demostrar identidades combinatorias.

with F. Velandia*.

Lecturas Matemáticas, 43(2)(2022), 73-88. (pdf)

Los resultados de este artículo están basados en las librerias del RISC

Fibonacci Word and Its Generalization

Properties and Generalizations of the Fibonacci Word Fractal. Exploring Fractal Curves.

Description: This package implements some combinatorial properties of the Fibonacci word and generalizations that can be generated from the iteration of a morphism between languages. notebook

J. L. Ramírez, G. Rubiano. Biperiodic Fibonacci word and its fractal curve. Acta Polytechnica, 55(1) (2015), 50-58. (web, pdf)
R. De Castro, J. L. Ramírez, G. Rubiano. A generalization of the Fibonacci word fractal and the Fibonacci snowflake, Theoretical Computer Science, 528 (2014), 40-56. (web)J. L. Ramírez, G. Rubiano. On the k-Fibonacci words. Acta Universitatis Sapientiae Informatica, 5(2)(2013), 212-226. (pdf)J. L. Ramírez, G. Rubiano. Generación de curvas fractales a partir de homomorﬁsmos entre lenguajes [con Mathematica®] Revista Integración, 30(2) (2012), 129-150. (pdf, web)

Inversive Geometry

Description: This code implements some properties of the generalized inversion.

Generating fractal patterns by using p-circle inversion

with G. Rubiano and B. Jurcic Zlobec. Fractals, 23(4), 2015. (web, pdf)

Inversions in an Ellipse.

Forum Geometricorum, 14 (2014), 107-115. (web)

A geometrical construction of inverse points with respect to an ellipse

with G. RubianoInternational Journal of Mathematical Education in Science and Technology, 45(8) (2014), 1254-1259. (web)

Elliptic inversion of two-dimensional objects [a graphical point of view with Mathematica] .

with G. RubianoInternational Journal of Geometry, 3 (2014), 12-27. (pdf)

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