Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
August 16, 2026Interface FocusOpen Access

Variations on the three-sphere: Laves' labyrinth lopped

View Full Paper
Ask AI
Bookmark
Share

Authors

LNLauren NiuRKRandall D. Kamien

Discussion

Loading...

Member takes

Overview

Geometric analysis demonstrates the construction of double-twisted Laves networks on the three-sphere using 600-cell geometries, highlighting connections to three-dimensional gyroid structures.

Key Points

  • To construct an analog of the three-dimensional Euclidean srs Laves network on the curved space of the three-sphere.
  • Derived vertex and edge subsets from the regular four-dimensional polytope known as the 600-cell.
  • Modeled the network as a bipartite graph composed of disjoint 24-cell vertices inscribed within the 600-cell.
  • Constructed an identical three-coordinated Laves network on the three-sphere exhibiting a double-twist geometry.
  • Described mutually entangled network configurations on the three-sphere and mapped their structural correspondence to Euclidean srs Laves networks.

Cite This Study

Niu et al. (2026) studied this question.

synapsesocial.com/papers/6a8178fcf2fb91fc834ac217https://doi.org/10.1098/rsfs.2026.0021
View Full Paper
Ask AI
Bookmark
Share