Space-times of any number of dimensions and any metric signature are shown to be generated recursively from either the Euclidean plane or the Minkowskian plane. Although the two planes have different geometries, they have the same real geometric algebra. The product of the two planes yields Hestenes’ space-time algebra. Dimensions can be either open (space-time) or closed (electroweak force). Their product yields the “eight-fold way” of the strong force. After eight dimensions, the pattern of real geometric algebras repeats. This yields a spontaneously expanding space-time lattice with the physics of the Standard Model at each node. Physics being the same at each node implies conservation laws by Noether’s theorem. Laws of nature are not pre-existent; rather, they are consequences of the uniformity of space-time. The uniformity is a consequence of recursive generation.