For starters, you can play (search for closest terms and definitions) with conceptual vectors, and for more excitement also get an advanced search with fixed dist.
some documentation about vector manipulation.
some advanced forms to play with : ttm multiplication, substraction and complement between conceptual vectors.
Lexical functions with vectors
about distances. (angular, intensity), distance matrix, and morphological mesure.
about synonymy. (absolute, relative, subjective)
about hyperonymy. Experiments with frequency adjustments.
about antonymy, the nice page of Didier Schwab (my old page about antonymy.)
Word sense selection (naïve and weighted)
Word and word meaning frequency - luminosity
Tech side
Direct vector manipulation (sort of).
A form for a knn search among terms (from a given vector).
A prototype of term indexer