EUCLID: A System for the exploratory discovery of geometrical properties of triangles

  • Gaurav Pandey
  • , Ankit Anand
  • , Harish Karnick

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We describe the system Euclid for automatically finding various ge-ometrical properties of a triangle starting from a set of relations and operators defined over categories like scalars, points, lines (or line-segments), angles and triangles. Euclid is comprised of a knowledge base consisting of the definitions of categories, relations and operators, a search algorithm and a set of constraints and pruning strategies to guide the search. We describe each component and also the theoretical properties of the search algorithm. Euclid's efficacy is demonstrated by the interesting potential theorems it is able to discover about triangles.

Original languageEnglish
Title of host publicationProceedings of the 2nd Indian International Conference on Artificial Intelligence, IICAI 2005
Pages2759-2776
Number of pages18
StatePublished - 2005
Externally publishedYes
Event2nd Indian International Conference on Artificial Intelligence, IICAI 2005 - Pune, India
Duration: 20 Dec 200522 Dec 2005

Publication series

NameProceedings of the 2nd Indian International Conference on Artificial Intelligence, IICAI 2005

Conference

Conference2nd Indian International Conference on Artificial Intelligence, IICAI 2005
Country/TerritoryIndia
CityPune
Period20/12/0522/12/05

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