Scholarlink

<p>We study a simple type of modular robot, consisting of a collection of identical <i>d</i>-dimensional cubes in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({\mathbb {R}}^{d}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mi>d</mi> </msup> </math></EquationSource> </InlineEquation>, which change position by sliding along each other (parallel to the axes). We describe the configuration space of such a mechanism, and show that it has a dense open smooth submanifold, and that book singularities are generic in its complement.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Cubical modular robots

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年4月13日

查看全文
  • David Blanc,
  • Nir Shvalb

摘要

We study a simple type of modular robot, consisting of a collection of identical d-dimensional cubes in \({\mathbb {R}}^{d}\) R d , which change position by sliding along each other (parallel to the axes). We describe the configuration space of such a mechanism, and show that it has a dense open smooth submanifold, and that book singularities are generic in its complement.