Enumeration of integral tetrahedra

We determine the numbers of integral tetrahedra with diameter $d$ up to isomorphism for all $d\le 1000$ via computer enumeration. Therefore we give an algorithm that enumerates the integral tetrahedra with diameter at most $d$ in $O(d^5)$ time and an algorithm that can check the canonicity of a given integral tetrahedron with at most 6 integer comparisons. For the number of isomorphism classes of integral $4\times 4$ matrices with diameter $d$ fulfilling the triangle inequalities we derive an exact formula.Comment: 10 pages, 1 figur

A dynamic construal approach to antonymy*

Based on textual and psycholinguistic data, this article presents a Cognitive Semantic treatment of antonymy. It argues that antonymy is a conceptual construal, involving a contentful meaning dimension and a bounded configuration. Form-meaning pairings are antonyms when they are used in binary contrast in discourse. In this respect, all antonym construals are on an equal footing, but nevertheless different lexico-semantic pairings have different levels of lexico-semantic affinity due to factors such as the salience of the contentful dimension, the configuration of the members that form part of the opposition, the symmetry of the members in relation to the boundary, contextual versatility and frequency.