Une période unique fait résonner toutes les fractions de n/163 en base 2.  

Le microscope numérique permet alors d'en observer le graphe. 

1/163=0,000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101...

2/163=0,000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010...

3/163=0,000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111...

4/163=0,000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100...

5/163=0,000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001...

6/163=0,000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110...

7/163=0,000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011...

8/163=0,000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000...

9/163=0,000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101...

10/163=0,000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010...

11/163=0,000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111...

12/163=0,000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100...

13/163=0,000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001...

14/163=0,000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110...

15/163=0,000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011...

16/163=0,000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000...

17/163=0,000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101...

18/163=0,000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010...

19/163=0,000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111...

20/163=0,000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100...

21/163=0,001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001...

22/163=0,001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110...

23/163=0,001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011...

24/163=0,001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000...

25/163=0,001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101...

26/163=0,001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010...

27/163=0,001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111...

28/163=0,001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100...

29/163=0,001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001...

30/163=0,001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110...

31/163=0,001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011...

32/163=0,001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000...

33/163=0,001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101...

34/163=0,001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010...

35/163=0,001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111...

36/163=0,001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100...

37/163=0,001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001...

38/163=0,001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110...

39/163=0,001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011...

40/163=0,001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000...

41/163=0,010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101...

42/163=0,010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010...

43/163=0,010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111...

44/163=0,010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100...

45/163=0,010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001...

46/163=0,010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110...

47/163=0,010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011...

48/163=0,010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000...

49/163=0,010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101...

50/163=0,010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010...

51/163=0,010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111...

52/163=0,010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100...

53/163=0,010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001...

54/163=0,010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110...

55/163=0,010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011...

56/163=0,010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000...

57/163=0,010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101...

58/163=0,010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010...

59/163=0,010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111...

60/163=0,010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100...

61/163=0,010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001...

62/163=0,011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110...

63/163=0,011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011...

64/163=0,011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000...

65/163=0,011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101...

66/163=0,011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010...

67/163=0,011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111...

68/163=0,011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100...

69/163=0,011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001...

70/163=0,011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110...

71/163=0,011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011...

72/163=0,011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000...

73/163=0,011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101...

74/163=0,011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010...

75/163=0,011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111...

76/163=0,011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100...

77/163=0,011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001...

78/163=0,011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110...

79/163=0,011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011...

80/163=0,011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000...

81/163=0,011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101...

82/163=0,100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010...

83/163=0,100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111...

84/163=0,100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100...

85/163=0,100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001...

86/163=0,100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110...

87/163=0,100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011...

88/163=0,100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000...

89/163=0,100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101...

90/163=0,100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010...

91/163=0,100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111...

92/163=0,100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100...

93/163=0,100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001...

94/163=0,100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110...

95/163=0,100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011...

96/163=0,100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000...

97/163=0,100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101...

98/163=0,100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010...

99/163=0,100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111...

100/163=0,100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100...

101/163=0,100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001...

102/163=0,101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110...

103/163=0,101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011...

104/163=0,101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000...

105/163=0,101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101...

106/163=0,101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010...

107/163=0,101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111...

108/163=0,101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100...

109/163=0,101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001...

110/163=0,101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110...

111/163=0,101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011...

112/163=0,101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000...

113/163=0,101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101...

114/163=0,101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010...

115/163=0,101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111...

116/163=0,101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100...

117/163=0,101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001...

118/163=0,101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110...

119/163=0,101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011...

120/163=0,101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000...

121/163=0,101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101...

122/163=0,101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010...

123/163=0,110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111...

124/163=0,110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100...

125/163=0,110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001...

126/163=0,110001011110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110...

127/163=0,110001110111010111001010100110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011...

128/163=0,110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000...

129/163=0,110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010110011000010101111111001101101111100000100101101100010111100011101110101...

130/163=0,110011000010101111111001101101111100000100101101100010111100011101110101110010101001100111101010000000110010010000011111011010010011101000011100010001010001101010...

131/163=0,110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110110100100111010000111000100010100011010101100110000101011111...

132/163=0,110011110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100...

133/163=0,110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011110101000000011001001000001111101101001001...

134/163=0,110100100111010000111000100010100011010101100110000101011111110011011011111000001001011011000101111000111011101011100101010011001111010100000001100100100000111110...

135/163=0,110101000000011001001000001111101101001001110100001110001000101000110101011001100001010111111100110110111110000010010110110001011110001110111010111001010100110011...

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