1. A method for dynamically applying a design across multiple product packages, the method comprising: receiving package input data that identifies a plurality of product packages of different three-dimensional shape and different three-dimensional size and a layout indicating a package position for each of the plurality of differently-shaped and differently-sized product packages; retrieving, in response to and as a function of the received package input data, a package geometry for each of the plurality of product packages; calculating a display field as a function of the package geometries and the layout, the display field comprising: a first visible portion of a first product package that is visible when the first product package is positioned according to the layout; and a second visible portion of a second product package that is visible when the second product package is positioned according to the layout, such that the two visible portions manifest a spatial relationship in accordance with the layout; mapping a source image to the display field to generate a field map using a computer-implemented package image generator, such that the field map indicates a first fragment of the source image corresponding to the first visible portion, and a second fragment of the source image corresponding to the second visible portion, wherein the first fragment is different from the second fragment and the two fragments manifest the spatial relationship with respect to the source image; generating, by the computer-implemented package image generator, a first package image comprising the first fragment mapped to a region of the first package image that corresponds to the first visible portion; and generating, by the computer-implemented package image generator, a second package image comprising the second fragment mapped to a region of the second package image corresponding to the second visible portion; wherein the plurality of package images, when the plurality of product packages are arranged in the layout, together form a composite image that replicates the source image, and wherein each of the plurality of package images individually form only a fraction of and less than all of the source image.