I’ve never read Middlemarch (1871). But I have seen a middlemoth. It was when I was looking at a new way of creating fractLs. A fractL is what I call a graph shaped like a capital L, with the x- and y-axes representing values between 0 and 1, like 1/2 and 1/3 and 8/55. You can also use numbers > 1 to create numbers < 1: 73 → 0.73; 128719 → 0.128719; and so on. But I decided to reverse the integer before converting it: 73 → 0.37; 128719 → 0.917821; and so on. And use different bases for the x- and y-axes. So that's what I did on a fractL: I mapped fractions converted from integers in one base against fractions converted from integers in another base. The results, as you can see, were spectacularly dull:

fractL for int→frac in base 2 and base 6

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fractL for int→frac in base 3 and base 6

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fractL b04, b06

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fractL b06, b08

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So I tried to try some perspectivision, mapping the integer-fractions not on a fractL but on a fractO instead. A fractO is a circle where you find a point inside the circle by using two fractions, fr1 and fr2, to create two radian values: θ1 = fr1 * 2 * π and θ2 = fr2 * 2 * π. Then you use θ1 and θ2 to find two points on the perimeter of the circle, (x1, y1) and (x2, y2), and then find their midpoint, (x3, y3) = ((x1, y1) + (x2, y2)) / 2. The results this time are much more pleasing on the eye:

fractO for integers in base 2 and base 6

↑

fractL b02, b06, for fractO b02, b06

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Here’s an animated gif showing the conversion from visually dull fractL to visually interesting fractO:

fractL b02b06 to fractO b02b06 (animated at EZgif)

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When I was looking at more fractOs, I found one that was lepidopterally interesting too:

fractO b09, b12 with middlemoth

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fractO b09, b12 (middlemoth in green)

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You can try spotting more pareidolia in more fractOs from reversed fractintegers:

fractO b03, b15

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fractL b03, b15 for fractO above

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fractL b03b15 to fractO b03b15 (animated at EZgif)

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fractO b02, b10

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fractO b02, b12

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fractO b02, b14

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fractO b03, b06

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fractO b03, b12

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fractO b03, b21

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fractO b04, b06

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fractO b04, b20

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fractO b06, b08

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fractO b09, b15

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fractO b10, b24

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fractO b12, b16

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fractO b15, b20

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fractO b24, b28

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fractO b42, b78

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fractO b02, b18 (fr2 x 3)

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fractO b02, b06 (fr2 x 3)