What is Incidence Matrix

NeutroGeometry is the axiomatic approach to geometry from the neutrosophic theory. Neutrosophy is the branch of philosophy that studies neutrality. NeutroGeometry is a geometric structure based on at least one axiom, concept, definition, among others, which is only partially satisfied by the elements of the structure, so they are indeterminate since their definition. In AntiGeometry one of these entities is not satisfied by any element. This chapter introduces the theory and concepts of finite NeutroGeometry, which is geometry based on a finite set of points within the subject of NeutroGeometries in the plane. The author calls them finite mixed projective-affine-hyperbolic planes. Here, finite planes are defined so that lines are divided into three subsets; either they satisfy the axioms of projective planes, the axioms of affine planes, or the axioms of Bolyai-Lobachevsky (also called hyperbolic) planes. They demonstrate the main properties of these planes.