A system that includes a three-dimensional (3D) printing device, processor and computer-readable memory a 3D barcode and prints a three-dimensional object containing information embedded in the 3D barcode by: (i) receiving information to be embedded in the 3D barcode; (ii) determining a barcode symbology, wherein the barcode symbology includes at least one symbol character in a z-dimension; (iii) generating a build sequence that will cause the 3D-printing device to print the 3D barcode that embeds the received information in the 3D barcode in accordance with the barcode symbology; and (iv) using the build sequence to print the 3D object so that each symbol character of the symbology that is to appear in the z-dimension is printed as a physical representation in the z-direction on the 3D object.