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Can One Line Build Archimedes' 2,200-Year-Old Water Machine?
Curves & geometry

Can One Line Build Archimedes' 2,200-Year-Old Water Machine?

BEHIND THE WORK

Can a single continuous line build Archimedes' legendary 2,200-year-old water pump?

Invented in Syracuse around 250 BC, the Archimedean screw lifts water against gravity through rotating helical flights. Here, a single continuous space curve weaves the primary helical blade, descends through the central drive shaft, ascends the second opposing flight, and encloses the mechanism within an outer cylindrical casing.

Artismathic turns equations into visual art—one function at a time.

Music: 'The Beast Within' by The Soundings

#MathArt #3DArt #Engineering #History #GenerativeArt

THE MATHEMATICAL RULE

Flight1:zin[−H,H],r(u)=r0+drcos2(3piu)Flight 1: z in [-H, H], r(u) = r0 + dr cos^2(3pi u)Shaft:r=r0,dtheta=4piShaft: r = r0, d_theta = 4piFlight2:dtheta=6pi,phase=piFlight 2: d_theta = 6pi, phase = piCasing:r=R,counter−helicalcageCasing: r = R, counter-helical cage
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WATCH IT COME TO LIFE

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