Four variations on a fractal theme

M McCartney

doi:10.1080/0020739X.2022.2136548

Four variations on a fractal theme

M McCartney

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Abstract

Four variations of the Koch curve are presented. In each case the similarity dimension; area bounded by the fractal and its initiator; and volume of revolution about the initiator are calculated. A range of classroom exercises are proved to allow students to investigate the fractals further.

Original language	English
Pages (from-to)	1-15
Number of pages	15
Journal	International Journal of Mathematical Education in Science and Technology
Early online date	4 Nov 2022
DOIs	https://doi.org/10.1080/0020739X.2022.2136548
Publication status	Published online - 4 Nov 2022

Bibliographical note

Publisher Copyright:
© 2022 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.

Keywords

fractals
Pappus
Koch Curve
Koch curve
Fractals

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1080/0020739X.2022.2136548

Four variations on a fractal themeFinal published version, 2.82 MBLicence: CC BY-NC-ND

Cite this

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Four variations on a fractal theme

Abstract

Bibliographical note

Keywords

UN SDGs

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