Impossible objects

Explore impossible objects and figures: Penrose triangle, endless stairs, impossible cubes and more. Trace the geometry and discover how the drawings work. Convincing parts that cannot fit together.

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The collection

Impossible pentagram — A five-pointed star is drawn as an impossible interlaced solid.

Impossible pentagram

AnonMoos

A five-pointed star is drawn as an impossible interlaced solid.

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Impossible chair — A digitally altered chair gives its supports contradictory connections.

Impossible chair

TipFox

A digitally altered chair gives its supports contradictory connections.

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Impossible octagon — Eight sides make a deceptively convincing impossible loop.

Impossible octagon

Trilink at English Wikipedia

Eight sides make a deceptively convincing impossible loop.

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Impossible cube — A familiar cube frame acquires an impossible set of overlaps.

Impossible cube

M. C. Escher; modern redraw by 4C and Belbury

A familiar cube frame acquires an impossible set of overlaps.

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A rectangular loop of steps that appears to ascend continuously.

Penrose stairs

Oscar Reutersvärd; independently Lionel & Roger Penrose

A staircase that climbs forever and gets nowhere.

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Andrus’s nuts and bolts — An arrangement of real nuts and bolts looks impossible from its chosen view.

Andrus’s nuts and bolts

Jerry Andrus; photograph by Sgerbic

An arrangement of real nuts and bolts looks impossible from its chosen view.

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Impossible pentagon — Five plausible corners form an impossible pentagonal frame.

Impossible pentagon

Ibrahim Muizzuddin

Five plausible corners form an impossible pentagonal frame.

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Penrose torus — A ring-like solid cannot keep its surfaces consistent.

Penrose torus

English

A ring-like solid cannot keep its surfaces consistent.

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Impossible waterfall — A channel seems to return water to its own starting height.

Impossible waterfall

Pbroks13

A channel seems to return water to its own starting height.

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Axonometric paradox — An axonometric structure resists a single depth interpretation.

Axonometric paradox

Nevit Dilmen

An axonometric structure resists a single depth interpretation.

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A pale blue drawing of connected corners whose locally plausible edges cannot form a consistent solid.

Impossible Corners

Oscar Reutersvärd (1915 - 2002), Swedish graphic artist

You should experience a sense of perceptual confusion as you note the paradoxical nature of the corners.

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The impossible cuboid — A public sculpture appears to form an impossible cuboid.

The impossible cuboid

J. Verhoeff, D. Baas Becking, and P. Bakker; photograph by Wikifrits

A public sculpture appears to form an impossible cuboid.

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Frequently asked questions

What is an impossible object?

An impossible object is a drawing whose parts suggest familiar three-dimensional shapes but cannot all connect as they appear to. The contradiction becomes clearer when you trace the whole structure.

Can a Penrose triangle be built?

It cannot exist as the ordinary solid the drawing suggests. A specially arranged model can create the appearance from one viewpoint, but its actual structure differs from the pictured object.

How do the Penrose stairs work?

The drawing joins plausible stair segments into an apparent loop that continually rises or falls. In ordinary space, a closed circuit cannot gain height at every step and return to its starting level.