Abstract Mechanical puzzles have fascinated many people for a long time. While some puzzles require complex procedures to solve, there are puzzles that can be solved easily if the solver understands the underlying mechanism. In this paper, we focus on mechanical puzzles that can be solved by spin such that centrifugal force is applied to the internal mechanical core to unlock the locked state. While traditional centrifugal puzzles are limited to simple shapes, we propose a computational design method to generalize such puzzles by embedding the mechanical core into 3D models. We parameterize the internal core mechanism and optimize the design under several design constraints, and we generate a support structure that helps users solve puzzles easily because generalized puzzles cannot always be spun steadily and easily due to complex surfaces and non-flat contact areas. Additionally, we embed multiple cores into a model. To solve a multi-core puzzle, the user must follow certain orders to unlock each locking mechanism. We fabricate a variety of designed puzzles and demonstrate whether they can be physically unlocked.

中文翻译：

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广义离心拼图的计算设计

摘要 长期以来，机械谜题一直吸引着许多人。虽然有些谜题需要复杂的程序才能解决，但如果求解者了解基本机制，则可以轻松解决一些谜题。在本文中，我们专注于可以通过旋转来解决的机械谜题，即离心力施加到内部机械核心以解锁锁定状态。虽然传统的离心拼图仅限于简单的形状，但我们提出了一种计算设计方法，通过将机械核心嵌入到 3D 模型中来概括此类拼图。我们参数化内部核心机制并在几个设计约束下优化设计，并且我们生成了一个支持结构，帮助用户轻松解决难题，因为由于复杂的表面和非平坦的接触区域，一般的难题无法始终稳定轻松地旋转。此外，我们将多个内核嵌入到一个模型中。要解决多核难题，用户必须按照一定的顺序来解锁每个锁定机制。我们制作了各种设计的谜题并演示它们是否可以物理解锁。