Recognizable Geometry Hyperbolic Space Geometry from Subdivision Nested Patterns The Notion of Dimension Dimension-Related Characterizations Curvature Homogeneity and Local Graph Neighborhoods Adjacency Matrices and Age Distributions Other Graph Properties Graph Properties Conserved by Rules Apparent Randomness and Growth Rates Statistical Mechanics The Effect of Perturbations Geodesics Functions on Graphs Manifolds and Model Spaces