Methods, systems and apparatus to improve spatial-temporal data management

A computer implemented method to improve access efficiency for spatiotemporal data, comprising:

• generating, by executing an instruction with a processor, a root hexatree data structure having sixteen hypernodes;
• improving a spatiotemporal data access efficiency by generating, by executing an instruction with the processor, a first degree of symmetry in the root hexatree;
• assigning, by executing an instruction with the processor, a first portion of the hypernodes to a positive temporal subspace;
• assigning, by executing an instruction with the processor, a second portion of the hypernodes to a negative temporal subspace;
• and
• improving the spatiotemporal data access efficiency by generating, by executing an instruction with the processor, a second degree of symmetry in the root hexatree, and assigning respective hypernodes of the positive temporal subspace and the negative temporal subspace to respective positive and negative spatial subspaces.