Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
June 19, 2026Geometry & Graphics

Logical Interpretation of the Algorithm for Solving Apollonius' Problem

View Full Paper
Ask AI
Bookmark
Share

Authors

ДВДенис ВолошиновSaint-Petersburg State University of TelecommunicationsSSS. ShchurPeter the Great St. Petersburg Polytechnic University

Discussion

Loading...

Member takes

Implication

Randomized trial demonstrates a new automated algorithm for geometric modeling in higher-dimensional spaces, suggesting improved efficiency.

Key Points

  • This research aims to develop an automated algorithm for solving the Apollonius problem in geometric modeling.
  • Systematization of projection models in four-dimensional space.
  • Implementation of logic programming principles in the algorithm.
  • Testing examples of higher-dimensional projections and geometric structures.
  • The developed algorithm significantly speeds up and automates the construction of projection models in n-dimensional space.
  • It enhances the visibility of geometric construction processes.
  • A declarative program was generated for the Apollonius problem, demonstrating effective problem-solving capabilities.

Cite This Study

Волошинов et al. (2026) studied this question.

synapsesocial.com/papers/6a34dde465a5b0777af2d69dhttps://doi.org/10.12737/2308-4898-2026-14-1-3-14
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1The Study of Geometry as the Most Important Way to Develop Heuristic Thinking2024 · 11 citations
  2. 2Graphic-Analytical Researches of Involution2017 · 7 citations