Rectangular Hilbert Space Filling Curve through 7-Power Free Infinite Word

K  Thiagarajan nbsp; nbsp K  Navaneetham nbsp; nbsp S  Jeyabharathi nbsp

doi:10.17485/ijst/2016/v9i28/97802

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Rectangular Hilbert Space Filling Curve through 7-Power Free Infinite Word

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2016/v9i28/97802

Year: 2016, Volume: 9, Issue: 28, Pages: 1-9

Original Article

Rectangular Hilbert Space Filling Curve through 7-Power Free Infinite Word

K. Thiagarajan ^1*, K. Navaneetham ², S. Jeyabharathi ³

¹Department of Mathematics, PSNA College of Engineering and Technology, Dindigul - 624622, Tamil Nadu, India
²Research and Development Centre, Bharathiar University, Coimbatore - 641046, Tamil Nadu, India
³Department of Mathematics, Thiagarajar College of Engineering, Madurai - 625015, Tamil Nadu, India

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

An infinite word representing Rectangular Hilbert Space Filling Curve is framed. It has been observed that it is 7-power free. Moreover, the factors of length n for the described infinite word grows linearly, with special factors of length n obtained by finite number of values.

Keywords: Factors, Hilbert Space Filling Curve, Hilbert words, Homomorphisms, Infinite word, Special Factors.