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 frame — A rectangular frame joins plausible corners into a contradictory whole.

Impossible frame

Nevit Dilmen

A rectangular frame joins plausible corners into a contradictory whole.

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Impossible Valknut — Three interwoven triangles hide several impossible connections.

Impossible Valknut

AnonMoos

Three interwoven triangles hide several impossible connections.

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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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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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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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Reutersvärd’s triangle — A triangle of blocks recalls Reutersvärd’s pioneering impossible figure.

Reutersvärd’s triangle

Oscar Reutersvärd; modern drawing by László Németh

A triangle of blocks recalls Reutersvärd’s pioneering impossible figure.

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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.