Une période unique fait résonner toutes les fractions de n/179 en base 2.  

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

1/179=0,0000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101...

2/179=0,0000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010...

3/179=0,0000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111...

4/179=0,0000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100...

5/179=0,0000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001...

6/179=0,0000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110...

7/179=0,0000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011...

8/179=0,0000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000...

9/179=0,0000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101...

10/179=0,0000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010...

11/179=0,0000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111...

12/179=0,0001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100...

13/179=0,0001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001...

14/179=0,0001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110...

15/179=0,0001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011...

16/179=0,0001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000...

17/179=0,0001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101...

18/179=0,0001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010...

19/179=0,0001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111...

20/179=0,0001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100...

21/179=0,0001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001...

22/179=0,0001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110...

23/179=0,0010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011...

24/179=0,0010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000...

25/179=0,0010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101...

26/179=0,0010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010...

27/179=0,0010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111...

28/179=0,0010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100...

29/179=0,0010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001...

30/179=0,0010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110...

31/179=0,0010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011...

32/179=0,0010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000...

33/179=0,0010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101...

34/179=0,0011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010...

35/179=0,0011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111...

36/179=0,0011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100...

37/179=0,0011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001...

38/179=0,0011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110...

39/179=0,0011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011...

40/179=0,0011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000...

41/179=0,0011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101...

42/179=0,0011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010...

43/179=0,0011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111...

44/179=0,0011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100...

45/179=0,0100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001...

46/179=0,0100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110...

47/179=0,0100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011...

48/179=0,0100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000...

49/179=0,0100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101...

50/179=0,0100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010...

51/179=0,0100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111...

52/179=0,0100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100...

53/179=0,0100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001...

54/179=0,0100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110...

55/179=0,0100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011...

56/179=0,0101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000...

57/179=0,0101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101...

58/179=0,0101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010...

59/179=0,0101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111...

60/179=0,0101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100...

61/179=0,0101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001...

62/179=0,0101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110...

63/179=0,0101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011...

64/179=0,0101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000...

65/179=0,0101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101...

66/179=0,0101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010...

67/179=0,0101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111...

68/179=0,0110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100...

69/179=0,0110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001...

70/179=0,0110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110...

71/179=0,0110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011...

72/179=0,0110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000...

73/179=0,0110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101...

74/179=0,0110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010...

75/179=0,0110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111...

76/179=0,0110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100...

77/179=0,0110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001...

78/179=0,0110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110...

79/179=0,0111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011...

80/179=0,0111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000...

81/179=0,0111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101...

82/179=0,0111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010...

83/179=0,0111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111...

84/179=0,0111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100...

85/179=0,0111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001...

86/179=0,0111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110...

87/179=0,0111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011...

88/179=0,0111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000...

89/179=0,0111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101...

90/179=0,1000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010...

91/179=0,1000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111...

92/179=0,1000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100...

93/179=0,1000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001...

94/179=0,1000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110...

95/179=0,1000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011...

96/179=0,1000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000...

97/179=0,1000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101...

98/179=0,1000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010...

99/179=0,1000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111...

100/179=0,1000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100...

101/179=0,1001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001...

102/179=0,1001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110...

103/179=0,1001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011...

104/179=0,1001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000...

105/179=0,1001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101...

106/179=0,1001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010...

107/179=0,1001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111...

108/179=0,1001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100...

109/179=0,1001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001...

110/179=0,1001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110...

111/179=0,1001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011...

112/179=0,1010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000...

113/179=0,1010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101...

114/179=0,1010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010...

115/179=0,1010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111...

116/179=0,1010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100...

117/179=0,1010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001...

118/179=0,1010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110...

119/179=0,1010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011...

120/179=0,1010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000...

121/179=0,1010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101...

122/179=0,1010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010...

123/179=0,1010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100101100010101011100111...

124/179=0,1011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001101100...

125/179=0,1011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101101110000111110111011010110100001100110111110001...

126/179=0,1011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111101110110...

127/179=0,1011010110100001100110111110001101100101100010101011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011...

128/179=0,1011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000...

129/179=0,1011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100101111001100100000111001001101001110101010001100001010000000101...

130/179=0,1011100111101011111110100100011110000010001001010010111100110010000011100100110100111010101000110000101000000010110111000011111011101101011010000110011011111000110110010110001010...

131/179=0,1011101101011010000110011011111000110110010110001010101110011110101111111010010001111000001000100101001011110011001000001110010011010011101010100011000010100000001011011100001111...

132/179=0,1011110011001000001110010011010011101010100011000010100000001011011100001111101110110101101000011001101111100011011001011000101010111001111010111111101001000111100000100010010100...

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