How can a cake be cut into two equal pieces?

Byungchang So

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arXiv · 2506.11742

How can a cake be cut into two equal pieces?

Byungchang So

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Abstract

In coordinate geometry, geometric objects such as lines, disks, and cubes are not perfectly evenly divided because the points on the border should belong to any one of the parts. To mathematically formalize such division, which is physically straightforward, this article proposes a novel representation of geometric objects, called ``rasped representation.''

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Byungchang So. 2025-06-13. How can a cake be cut into two equal pieces?. https://arxiv.org/abs/2506.11742

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