Woven quadrilateral mesh origami structures and related functional materials

A method, comprising:

• folding creases into first strips and second strips of a foldable material, wherein the creases define first quadrilateral segments of the first strips and second quadrilateral segments of the second strips;
• arranging the first strips in a first orientation;
• and
• weaving respective ones of the second strips into the first strips, resulting in the second strips being arranged in a second orientation that is not the first orientation and placed adjacent to first surfaces of alternating sections of the first strips and second surfaces, opposite the first surfaces, of other sections, other than the alternating sections, of the first strips, and further resulting in the first quadrilateral segments of the first strips and the second quadrilateral segments of the second strips forming a tessellated mesh structure.

A method, comprising:

• forming a tessellated quadrilateral mesh structure, comprising:
• forming creases into first co-aligned material segments and second co-aligned material segments, the creases defining first quadrilateral regions of the first co-aligned material segments and second quadrilateral regions of the second co-aligned material segments;
• and
• weaving respective ones of the second co-aligned material segments into the first co-aligned material segments, resulting in the second co-aligned material segments being placed adjacent to first surfaces of alternating sections of the first co-aligned material segments and second surfaces, opposite the first surfaces, of other sections, other than the alternating sections, of the first co-aligned material segments, and further resulting in the tessellated quadrilateral mesh structure;
• attaching the tessellated quadrilateral mesh structure to a surface;
• and
• absorbing, via the tessellated quadrilateral mesh structure, sound waves impinging on the surface.