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Since I found that one could make a case shadow from a…

“Since I found that one could make a case shadow from a three-dimensional thing, any object whatsoever - just as the projecting of the sun on the earth makes two dimensions - I thought that by simple intellectual analogy, the fourth dimension could project an object of three dimensions, or, to put…” quote by Marcel Duchamp
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“Since I found that one could make a case shadow from a three-dimensional thing, any object whatsoever - just as the projecting of the sun on the earth makes two dimensions - I thought that by simple intellectual analogy, the fourth dimension could project an object of three dimensions, or, to put it another way, any three-dimensional object, which we see dispassionately, is a projection of something four-dimensional, something we are not familiar with.”

Marcel Duchamp

About This Quote

This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation.

We perceive three‑dimensional objects as projections of a higher‑dimensional reality, suggesting deeper layers beyond our senses.

In simple terms: 3D objects may be shadows of a 4D world.

Key Takeaway

Consider unseen dimensions in perception.

Themes

perception dimensions philosophy art science

Mood

curious thoughtful speculative

Type

theoretical inspirational

When to use this quote

  • visual arts
  • theoretical physics
  • creative thinking
  • educational curricula

Key Concepts

projection higher dimensions analogy

Questions to Reflect On

  • What does a fourth‑dimensional object feel like?
  • How can this idea influence artistic practice?
A Different Perspective

The analogy may oversimplify complex geometry and lack empirical proof.

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