What Does the Fourth Dimension Actually Look Like?
Maggie Miller explains why our intuition about three dimensions breaks down in four, and how she visualizes 4D spaces as a reel of three-dimensional snapshots. The post What Does the Fourth Dimension Actually Look Like? first appeared on Quanta Magazine
Résumé
Three dimensions vs fourth
The article begins by distinguishing the three spatial dimensions humans experience—length, width, and height—from a potential fourth spatial dimension, which would be an entirely new direction beyond the familiar ones.
While physicists often describe time as a fourth dimension, this discussion focuses on a fourth spatial dimension.
Mathematicians use topology to study abstract spaces in higher dimensions, including the fourth.
Topology examines properties of spaces that remain unchanged under continuous deformations like stretching or twisting, without breaking or gluing.
For example, a coffee mug and a doughnut are topologically equivalent because one can be deformed into the other without tearing.
The article highlights how objects behave differently in four dimensions compared to three, such as knots that can untangle in 4D or surfaces like spheres that can become knotted in ways impossible in 3D.
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