Manke, Dennis L.2024-08-142024-08-1419931993https://hdl.handle.net/1828/18873We consider two-to-one embeddings of grids into the next smaller Hypercube and derive novel two-to-one embedding techniques that achieve optimal dilation 1 for many grids, where in some cases no previous solutions were known. In particular, dilation 1, two-to-one embeddings into the next smaller Hypercube can be found for grids that are: - square. - close to square. - of height within one of a power of 2.124 pagesAvailable to the World Wide WebUN SDG 11: Sustainable Cities and Communities2 to 1 embeddings of grids into hypercubesThesis