Work

How can a cake be cut into two equal pieces?

Year: 2025

Type: preprint

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.''

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2506.11742

Author: So, Byungchang

Language: English

Topic: Computational Geometry and Mesh Generation

Subfield: Computer Graphics and Computer-Aided Design

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: National Research Foundation, National Research Foundation of Korea

Award: G2136125457

OpenAlex ID: W4415069408

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