CONFUSION

Aliased signals, impossible knots, labyrinths with no exit. The geometry of not knowing which way is forward.

Aliased signals, topological knots, labyrinths, tangles, and vertigo spirals. Systems that fold back on themselves until the path forward becomes invisible.

52 renders. 5 survived.

Aliased — f_alias = |f - n·f_s|, n = round(f/f_s)

Aliased

f_alias = |f - n·f_s|, n = round(f/f_s)

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Knot — K: S¹ → S³

Knot

K: S¹ → S³

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Labyrinth — maze(x,y) = {0,1} | ∃! path(start, end)

Labyrinth

maze(x,y) = {0,1} | ∃! path(start, end)

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Tangle — γ(t): [0,1] → R³, self-intersecting

Tangle

γ(t): [0,1] → R³, self-intersecting

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Vertigo — r(t) = e^{-at}(cos ωt, sin ωt, t)

Vertigo

r(t) = e^{-at}(cos ωt, sin ωt, t)

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Complete CONFUSION Series

All 5 pieces as high-resolution PDFs. Print-ready at 300 DPI.

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▶The Story Behind This Series

Confusion is not ignorance. It is the state of having too many valid interpretations. Aliasing occurs when a signal is sampled too slowly — the true frequency becomes indistinguishable from a false one. This series renders that ambiguity as visual structure.

Mathematical primitive: aliasing, topological knots, labyrinth generation, tangled trajectories