Explorations on the Sierpinski Gasket Graph

TONAPI, ANUSHKA (2023) Explorations on the Sierpinski Gasket Graph. At Right Angles. pp. 78-85. ISSN 2582-1873

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Abstract

In [6] the author describes the general properties of fractals and elaborates on the construction of a specific well-known fractal, the Sierpinski Triangle. The article delves into how pre-service teachers can explore various attributes of the fractal, such as the number of shaded triangles and shaded area at each stage. In this article we link the Sierpinski triangle (also known as the Sierpinski Gasket) to graph theory. We illustrate how the Sierpinski Gasket is related to the Sierpinski Gasket graph and explore Eulerian and Hamiltonian cycles in the graph using the CAS Mathematica.

Item Type:	Articles in APF Magazines
Authors:	TONAPI, ANUSHKA
Document Language:	Language English
Uncontrolled Keywords:	Fractals, Sierpinski, graph theory, Hamiltonian graphs, Mathematica.
Subjects:	Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bengaluru > University Publications > At Right Angles
Full Text Status:	Public
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/5269
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