Papers on 4D ball through 3D space

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SUMMARY

This discussion centers on the search for academic papers that explore the trajectory of a 4D ball through 3D space. Participants recommend several resources, including Richard Elwes' article on Plus.maths.org and the Wikipedia page on the 3-sphere. Additional references include works by Thomas Banchoff and the concept of Flatland as explained by Carl Sagan. The conversation emphasizes the challenge of finding specific scholarly articles on this niche topic.

PREREQUISITES
  • Understanding of 4D geometry and its implications in mathematics.
  • Familiarity with the concept of a 3-sphere and its properties.
  • Basic knowledge of academic research methodologies.
  • Awareness of mathematical literature and key figures such as Thomas Banchoff.
NEXT STEPS
  • Research the mathematical properties of the 3-sphere in higher dimensions.
  • Explore Thomas Banchoff's contributions to the field of geometry.
  • Investigate the implications of Flatland in understanding dimensions beyond three.
  • Look for additional academic papers on the visualization of 4D objects in 3D space.
USEFUL FOR

Mathematicians, physics students, and researchers interested in higher-dimensional geometry and its applications in visualizing complex shapes.

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Could anyone please recommend any papers that describe the path of a 4D ball through 3D space?
 
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