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The sequence of n-dimensional cube-fractals

Published online by Cambridge University Press:  01 August 2016

Irena Kosi-Ulbl
Irena Kosi-Ulbl*
Affiliation:
Faculty of Mechanical Engineering University of Maribor, Smetanova ul. 17, 2000 Maribor, Sloveniae-mail: irena.kosi@uni-mb.si
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Extract

This paper is motivated by the work of V. Dubrovsky [1] who described an n-dimensional cube. It is our aim to build a fractal, based on such a cube as well as to derive a formula for a general volume of that fractal. Two special cases n = 2 and n = 3 are investigated in detail.

Type
Articles
Information
The Mathematical Gazette , Volume 93 , Issue 526 , March 2009 , pp. 51 - 57
Copyright
Copyright © The Mathematical Association 2009

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References

1. Dubrovsky, V., The multidimensional cube, Quantum September-October (1996) pp. 4–9.Google Scholar
2. Kosi-Ulbl, I., Pagon, D., The n-simplex and its generalizations towards fractals, Int. J. Math. Educ. Sei. Technol. 33 (3) (2002) pp. 393–404.CrossRefGoogle Scholar