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Caption : si fig. 1 isometrically constructing a sector of a cone from a flat arc
sector

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Caption : si fig. 2 constructing a single cone

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Caption : si fig. 3 diagram supporting the calculation in sec. 6.3

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Caption : si fig. 4 two different flat state geometries for w = 0.2.

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Caption : si fig. 5 example a) radial energy and b) azimuthal strain distributions.