Fine black line tattoo of an integral from 0 to infinity of x dx, beside a solid red heart with a black outline, on the forearm.

Enlarged with AI from a smaller original

Integral equation and red heart on skin

Fine line · Forearm · Mixed · Photo

The tattoo shows an integral sign with 0 and infinity as its limits, followed by the letters x and dx, and a small angled black stroke. Beside it sits a solid red heart with a black outline. The linework is thin and hand-drawn, and the red fill is the only colour in the design, set against pale skin in a close, slightly angled shot.

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A story inspired by this tattoo · fiction

Sit closer, and mind the cat, she has opinions about strangers. Old Oskar Dunn taught the children on Hesk, the little rock past the ferry slip, and he drew a long sign on the slate that looked like a swan's neck bent over a question. Beside it he chalked an x, then dx, and the children never knew what to make of them. "That is everything from nothing to forever," he told them. Agnes Fairlie, who was nine and sharp as a gull, put up her hand and asked how you could add up something that never stopped.

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He did not answer her that day. He walked home over the wet grass and sat at the kitchen window with a pencil, working out how the tide rose a little more each hour the moon pulled at it, and how the sum of all those small rises ran on past every hour anyone on Hesk would live. He filled three notebooks. Then the post boat brought him a letter from the mainland with a red ink heart in the corner, where some clerk had doodled while waiting for his tea, and Oskar laughed until he had to sit down on the step.

Years later Agnes came back from the mainland with a husband who could not tell a slate from a sail. She found the notebooks in the schoolhouse, and on the last page, beside the swan-necked sign, Oskar had drawn a small red heart and written underneath that the thing diverges, so he would keep on adding.

Her husband asked what diverges meant. Agnes closed the book and looked out at the slip, where the tide was coming in again, as it always did. It never gets to the end, she said, and that is why you keep counting.

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