CONFIGURATIONS OF HIGHER ORDERS

This paper begins by extending the notion of a combinatorial configuration points and lines to planes that we refer as configurations order $2$. We then proceed investigate further extension $k$-planes ($k$-dimensional hyperplanes) which $k$. present number general examples such stacked $k$ - intuitively layering lower product discuss many analogues standard dual configurations, isomorphisms, graphical representations, when is geometric. focus mostly on $2$ specifically compute possible symmetric each plane contains $3$ for small values $n$ total in configuration.