* Joerg Arndt <arndt@jjj.de> [Apr 22. 2018 16:18]:
[...]
Usually one first tries to determine how to increment a number. This can already be tricky.
Here are the the first few integers in base = 2 + i and digit set {0, +1, -1, +i, -i} The least significant digit is on the left. 0: [ 0] 1: [+1] 2: [-i, +1] 3: [+i, +i, -i] 4: [-1, -1, +i, -i] 5: [ 0, -1, +i, -i] 6: [+1, -1, +i, -i] 7: [-i, 0, +i, -i] 8: [+i, -i, +i, -i] 9: [-1, +i, 0, -i] 10: [ 0, +i, 0, -i] 11: [+1, +i, 0, -i] 12: [-i, -1, +1, -i] 13: [+i, +1, 0, -i] 14: [-1, -i, +1, -i] 15: [ 0, -i, +1, -i] 16: [+1, -i, +1, -i] 17: [-i, +i, +i, -1, -i] 18: [+i, 0, +i, -1, -i] 19: [-1, +1, +i, -1, -i] 20: [ 0, +1, +i, -1, -i] 21: [+1, +1, +i, -1, -i] 22: [-i, -i, -1, 0, -i] 23: [+i, -1, +1, -1, -i] 24: [-1, 0, +1, -1, -i] 25: [ 0, 0, +1, -1, -i] 26: [+1, 0, +1, -1, -i] 27: [-i, +1, +1, -1, -i] 28: [+i, +i, +i, +1, +1, -1] 29: [-1, -1, -1, -i, -i] 30: [ 0, -1, -1, -i, -i] 31: [+1, -1, -1, -i, -i] 32: [-i, 0, -1, -i, -i] 33: [+i, -i, -1, -i, -i] 34: [-1, +i, +1, +1, +1, -1] 35: [ 0, +i, +1, +1, +1, -1] 36: [+1, +i, +1, +1, +1, -1] 37: [-i, -1, -i, -i, -i] 38: [+i, +1, +1, +1, +1, -1] 39: [-1, -i, -i, -i, -i] 40: [ 0, -i, -i, -i, -i] 41: [+1, -i, -i, -i, -i] 42: [-i, +i, -1, -1, -1, -i] 43: [+i, 0, -1, -1, -1, -i] 44: [-1, +1, -1, -1, -1, -i] 45: [ 0, +1, -1, -1, -1, -i] 46: [+1, +1, -1, -1, -1, -i] 47: [-i, -i, 0, -1, -1, -i] 48: [+i, -1, -i, -1, -1, -i] 49: [-1, 0, -i, -1, -1, -i] 50: [ 0, 0, -i, -1, -1, -i] 51: [+1, 0, -i, -1, -1, -i] 52: [-i, +1, -i, -1, -1, -i] 53: [+i, +i, -1, +1, +i, +1, -1] 54: [-1, -1, 0, +1, +i, +1, -1] 55: [ 0, -1, 0, +1, +i, +1, -1] 56: [+1, -1, 0, +1, +i, +1, -1] 57: [-i, 0, 0, +1, +i, +1, -1] 58: [+i, -i, 0, +1, +i, +1, -1] 59: [-1, +i, -i, +1, +i, +1, -1] 60: [ 0, +i, -i, +1, +i, +1, -1] 61: [+1, +i, -i, +1, +i, +1, -1] Best regards, jj
[...]