The Most Beautiful Base

You can choose a complex number as a base, and the results can be beautiful 1 William J. Gilbert. Arithmetic in complex bases. Mathematics Magazine, 57(2), 1984. 2 T. Jamil. The complex binary number system. IEEE Potentials, 20(5), 2002. 3 Donald E. Knuth. The Art of Computer Programming, volume 2. Addison Wesley Longman, 1998. 4 W. Penney. A binary system for complex numbers. J. ACM, 12:247248, 1965. The code I used can be found here: