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

K. Thiagarajan; K. Navaneetham; S. Jeyabharathi

doi:10.17485/ijst/2016/v9i28/131476

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

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

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

Abstract
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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.