Methods for biomaterials printing: A short review and perspective

•Current state and future ahead of biomaterials printing methods are briefly overviewed.•The concepts of 3D printing and 4D printing of biomaterials are interconnected and discussed.•5D printing technology for biomaterials development is correlated with 3D printing.•Interrelationships between capabilities of 3D, 4D, and 5D bioprinting technologies are visualized.•Unsolved problems in bioprinting technology are conceptualized.