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Recently, topography change by illumination of pre-stretched, flat sheetscovered in ink of optical density varying in-plane has been demonstrated byMailen\textit{ et al}, Smart Materials and Structures, 2019. They reduce ananalysis of the problem to one of metric change in the sheets in the thinlimit, that is, to a question of geometry. We present the explicit form of thecontraction field needed to produce the bowls these authors were interested in,using a method that can also yield the contraction field for more generaldesired, circularly-symmetric topography development. We give as examples thefields required for developing paraboloids and catenoids.

Geometry for evolving topographies of light-responsive plastic sheets