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When an upright cylinder is deformed by tilting it sideways while keeping its base fixed, the shape of its layers changes from a circular disk to an elliptical disk. The elliptical disk does not have an upright but a tilted boundary. This is a problem. Because all layers in AM have an upright boundary, they do not allow their boundaries to match the required tilted boundary.

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Stair-Stepping: An Unsolvable Problem

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  • 发表日期：

    2025年

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  • Sanjay Kumar

摘要

When an upright cylinder is deformed by tilting it sideways while keeping its base fixed, the shape of its layers changes from a circular disk to an elliptical disk. The elliptical disk does not have an upright but a tilted boundary. This is a problem. Because all layers in AM have an upright boundary, they do not allow their boundaries to match the required tilted boundary.