ENVY

Mirror functions. Glass ceilings at y = c. Shadow projections of brighter forms.

Mirror reflections, barrier functions, shadow projections, covetous proximity curves, and surveillance geometry. The mathematics of watching something you cannot have.

40 renders. 5 survived.

Covet — d(x, S) = inf{||x-s|| : s ∈ S}

Covet

d(x, S) = inf{||x-s|| : s ∈ S}

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Glass Ceiling — f(x) = min(g(x), c)

Glass Ceiling

f(x) = min(g(x), c)

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Mirror — f(-x) = f(x)

Mirror

f(-x) = f(x)

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Shadow — P(x) = x - (x·n̂)n̂

Shadow

P(x) = x - (x·n̂)n̂

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Watch — θ(t) = arctan(y(t)/x(t))

Watch

θ(t) = arctan(y(t)/x(t))

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Complete ENVY Series

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

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▶The Story Behind This Series

Envy is a function of distance — not physical distance, but the gap between what you are and what you see someone else being. It requires a mirror: you must be able to see the comparison clearly. This series renders that geometry of comparison.

Mathematical primitive: reflection, barrier functions, projection, proximity