  The confining geometries of fermions in 2D structures exhibits interesting
results that have highest symmetry. Delusion can be considered as the
topological effect which is topological invariant. Topologically, genus zero
surfaces needs excess of pentagons while in surfaces g>2 surfaces needs excess
of heptagons. The curvature effect and the rise of effective gauge field can be
interpreted from delusion effects in hexagonal lattice. This idea is novel in
its scope as it can state theoretical description of structures and their
stability.
