5D construction is innovative biotextile material, elaborated in Riga Technical University, Mechanic and Biotextilematerial Research Laboratory by leadership of Dr.sc.ing. Inga Lasenko. 4D and 3D Printing additive manufacturing is a rapidly developing form of technology. Currently able to manipulate many polymers (both synthetic and organic), this technique is quickly becoming an integral part of biotechnological developments. This paper highlights the fundamentals of this technology namely the mechanisms employed in standard 3D printing, it then introduces tissue engineering a field in which current versions of this technology have been employed as bio printing. The limitations with respect to tissue engineering are discussed outlining the current technologies inability to produce nano fiber based structures common in tissue such as tendon, cartilage and cornea. From this requirement for nanofiber production, electrospinning is introduced as a potential pathway for future tissue engineering 3D printing technologies and finally the current combination of this technology with 3D Printing is discussed yielding current limitations in retaining required nano resolutions. The principle of 4D printing was defined in the paper, which means the ability of self-organization of nano- material. The principle of operation of the 5D design of nano - material is also explained, based on the ability to exert a volumetric effect on the cellular structure (biological effect on living body tissues).