Formation of lattice structure

If there are more than two quanta of matter in contact with each other (in the same spatial dimension, at a place), interactions due to adhesion between their matter-contents at points of direct contacts between them, may move all quanta of matter so that their ends meet at a point in space to form a junction. Inter-quanta adhesion will further move the quanta of matter angularly in common plane, so that all quanta of matter meeting at a junction settle at equal angular difference between adjacent quanta of matter. Each quantum of matter at every junction is capable to join another junction at its other end. Only stipulation is that all quanta of matter, joined by junctions are in the same spatial plane. Once, any two quanta of matter form a junction, all further additions to the junction will be in the same spatial plane. First two quanta of matter, which initiates build up of quanta-chain, determine spatial plane of all associated structures. Numerous junctions, formed at both ends of associated quanta of matter, form a latticework structure in its plane. Junctions in a regular latticework have to have equal numbers of quanta of matter and they should be of equal lengths. Geometrically, each junction may have three, four or six quanta of matter each. Sections of latticework structure formed by junctions with three quanta of matter each appear in the shape of series of hexagons. They are structurally very unstable and flaccid. This structure is easily destroyed during deformations of latticework structure. Sections of latticework structure formed by junctions with four quanta of matter each appear in the shape series of of squares. They are structurally stable and yielding. This structure can withstand reasonable deformation and return to its stable state easily. Sections of latticework structure formed by junctions with six quanta of matter each appear in the shape of series of triangles. They are structurally very stable and rigid. This structure prevents all reasonable deforming efforts. Nature chooses latticework structure that is stable and yielding. Latticework structure with four quanta of matter, to every stable junction, is superior construction. Each section of this latticework structure, which may be called a latticework square, has one quantum of matter as its side. In its stable and homogeneous state, sides of a latticework square are of equal length. During deformations, sides of latticework squares may change their lengths and the square may change its shape accordingly.