Just as a 3D cube unfolds into a 2D cross of squares, what does a 4D
Chapter 1

Living on a flat sheet of paper

Chapter 2

Meet the hypercube

Chapter 3

The hidden dimensions of physics

Chapter 4

Visualizing the invisible

YOUR GOAL

Master of The secret life of the fourth dimension

Ch 2 · Meet the hypercube
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007skaty Unfolding a four-dimensional box

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007skaty The Hypercube

If you unfold a hypercube, eight cubes will make a cross

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007skaty The geometric construction of a tesseract

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Slicing through the fourth dimension

007skaty When crossing our three-dimensional space, a four-dimensional sphere first appears as a tiny point before expanding, shrinking, and

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Unfolding a four-dimensional box

007skaty Hands carefully unfold a paper model of a hypercube under warm, natural light.

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Fun Fact

Tesseract name: The word 'tesseract' was coined in 1888 by Charles Howard Hinton, an eccentric mathematician who also invented a gunpowder-powered baseball pitching machine.

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Gossip

Would you step into a portal to the fourth dimension?

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Quiz

If you rotate a 3D object through the fourth dimension, what can happen to its orientation?

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007skaty Four-dimensional rotations flip three-dimensional objects inside out

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Quiz

What would a four-dimensional hypersphere look like if it passed through our three-dimensional room?

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Quiz

Which Spanish artist painted a 3D cross representing an unfolded tesseract in his 1954 artwork 'Corpus Hypercubus'?

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Quiz

Just as a 3D cube unfolds into a 2D cross of squares, what does a 4D tesseract unfold into?

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Quiz

How many 3D cubes make up the outer boundary of a 4D tesseract?

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Quiz

How many edges does a standard 4D tesseract have?

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Quiz

How many vertices (corners) does a four-dimensional hypercube, or tesseract, have in total?

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Quiz

What is another common mathematical name for a four-dimensional cube?

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