"Natural extension of arithmetic algorithms and S-adic system". July 20～24, 2015. edited by Shigeki Akiyama. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.本文ファイルではp.1-39と表記We introduce substitutions over complex powered symbols az(zEIC), and extend the definition of the Rauzy fractal and give some new examples ofRauzy fractals. We also give some problems and results related to simultaneous Diophantine approximations and multidimensional complex continued fractions
