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

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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Three rectangular beams joined in an apparently solid triangular loop.

Penrose triangle

Oscar Reutersvärd; independently Lionel & Roger Penrose

Three convincing corners. One impossible connection.

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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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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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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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Impossible hexagon — A six-sided beam loop carries impossible depth around its perimeter.

Impossible hexagon

Original uploader was Trilink at en.wikipedia

A six-sided beam loop carries impossible depth around its perimeter.

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Three cylindrical prongs apparently connected to two rectangular supports.

Impossible trident

Original creator uncertain; reported by D. H. Schuster

Three prongs quietly become two supports.

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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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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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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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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.