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Pythagoras Goes Complex — Imaginary Right Triangle T-Shirt

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A perfectly ordinary right triangle. Legs of length 1 and i (the imaginary unit). Hypotenuse, by Pythagoras: sqrt(1^2 + i^2) = sqrt(1 + (-1)) = 0. So this is a triangle with a hypotenuse of length zero. Which is also an extremely degenerate triangle. Which is also fine, because we never said it was real. For mathematicians, complex-analysis survivors, anyone who has lectured undergraduates that "yes, geometry breaks when you go complex, that's the whole point", and anyone who appreciates how much chaos a tiny i can cause. Minimal line art — three lines, a right-angle marker, three italic labels. No words. The diagram is the punchline.

UK & Europe · Teemill

Organic cotton, UK-printed. Ships worldwide; fastest & cheapest within Europe.

£19 each

Men's Basic
Women's Crew

US & rest of world · Fourthwall

Auto-routes to the nearest facility (US, UK, EU, Australia + more) for fast regional shipping.

Heavyweight from $24
Soft Fitted from $20
Want it on a light / white shirt?

These print on dark shirts for now. Email with the design name (and Heavyweight or Soft Fitted) and we'll add a light version.