Geometry Constructions Language

THALES: a Software Package for Plane Geometry Constructions with a Natural Language Interface

THALES is a software package for plane geometry constructions, supplied with a natural language interlace. Using THALES requires no knowledge of a programming language. The interface is capable of processing practically all kinds of instructions within the subset of plane geometry English. The "static semantic" module has been generated on the basis of a high-level attribute specification. Tran...

Applications of Arithmetical Geometry to Cryptographic Constructions

Islamic Constructions: The Geometry Needed by Craftsmen

The Islamic world has a rich artistic tradition of creating highly geometric and symmetric ornamentation. Over the centuries, the process of creating Islamic tilings was refined from the 15th Century ornamentation in the Alhambra Palace in Granada, Spain to the exquisite tilings, which are seen in mosques, mausoleums and minarets throughout the world today. The contemporary mathematics of group...

Idiomatic Syntactic Constructions and Language Learning

This article explores the influence of idiomatic syntactic constructions (i.e., constructions whose phrase structure rules violate the rules that underlie the construction of other kinds of sentences in the language) on the acquisition of phrase structure. In Experiment 1, participants were trained on an artificial language generated from hierarchical phrase structure rules. Some participants w...

Constructions: a new theoretical approach to language.

A new theoretical approach to language has emerged in the past 10-15 years that allows linguistic observations about form-meaning pairings, known as 'constructions', to be stated directly. Constructionist approaches aim to account for the full range of facts about language, without assuming that a particular subset of the data is part of a privileged 'core'. Researchers in this field argue that...