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

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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An animated red-and-green ring with striped surfaces whose apparent depth can reverse.Moving image

Ambiguous Ring

Donald E. Simanek

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

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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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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 Valknut — Three interwoven triangles hide several impossible connections.

Impossible Valknut

AnonMoos

Three interwoven triangles hide several impossible connections.

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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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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.