Modeling and rendering non-euclidean spaces approximated with concatenated polytopes

Seung Wook Kim, Jaehyung Doh, Junghyun Han

Research output: Contribution to journalArticlepeer-review


A non-Euclidean space is characterized as a manifold with a specific structure that violates Euclid's postulates. This paper proposes to approximate a manifold with polytopes. Based on the scene designer's specification, the polytopes are automatically concatenated and embedded in a higher-dimensional Euclidean space. Then, the scene is navigated and rendered via novel methods tailored to concatenated polytopes. The proof-of-concept implementation and experiments with it show that the proposed methods bring the virtual-world users unusual and fascinating experiences, which cannot be provided in Euclidean-space applications.

Original languageEnglish
Article number3530186
JournalACM Transactions on Graphics
Issue number4
Publication statusPublished - 2022 Jul 22

Bibliographical note

Funding Information:
This research was supported by the Ministry of Science and ICT, Korea, under the ICT Creative Consilience Program (IITP-2022-2020-0-01819), ITRC (Information Technology Research Center) Support Program (IITP-2022-2020-0-01460) and the grant No.2020-0-00861, which are all supervised by the IITP (Institute for Information & Communications Technology Planning & Evaluation).

Publisher Copyright:
© 2022 ACM.


  • Hypergraphics
  • Non-euclidean space

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design


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