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The sequence of n-dimensional cube-fractals
Published online by Cambridge University Press: 01 August 2016
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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.
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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