Lattice keyboards with related devices

A keyboard comprising:

• a plurality of keys, each of the plurality of keys being associated with at least one input value;
• said plurality of keys being arranged in a lattice pattern such that a center of each key is placed in a position of a respective node of the lattice,
• said lattice pattern being based upon a connected transformation from an original circular packing with a square lattice of nodes to a transformed circular packing with the transformed non-square lattice of nodes within a container of given shape and size;
• the connected transformation preserving adjacency in the transformed circular packing and between pairs of adjacent circles of the original circular packing;
• the connected transformation changing sizes of all circles of the transformed circular packing depending on a change of the given size of the container so that all adjacent circles have equal diameters and equal spacing between respective centers.

A lattice input interface comprising:

• a plurality of keys, each of the plurality of keys being associated with at least one input value;
• said plurality of keys being arranged in a lattice pattern such that a center of each key is placed in a position of a respective node of the lattice,
• said lattice pattern being based upon a connected transformation from an original circular packing with a square lattice of nodes to a transformed circular packing with the transformed non-square lattice of nodes within a container of given shape and size;
• the connected transformation preserving adjacency in the transformed circular packing and between pairs of adjacent circles of the original circular packing;
• the connected transformation changing sizes of all circles of the transformed circular packing depending on a change of the given size of the container so that all adjacent circles have equal diameters and equal spacing between respective centers.