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This research explores the movement and configuration capabilities of modular robots made of identical cubes in a d-dimensional space.

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April 15, 2026Open Access

Cubical modular robots

Puntos clave

This research explores the movement and configuration capabilities of modular robots made of identical cubes in a d-dimensional space.
Examined the configuration space of d-dimensional cubes
Analyzed sliding movements of cubes along axes
Identified characteristics of singularities in the complement of the configuration space
Demonstrated the presence of a dense open smooth submanifold in the configuration space
Showed that book singularities are generic in the complement of this space

Resumen

Abstract We study a simple type of modular robot, consisting of a collection of identical d -dimensional cubes in {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.

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Authors

David Blanc

University of Haifa

Nir Shvalb

Ariel University

Journals

Journal of Applied and Computational Topology

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University of Haifa

Ariel University

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Blanc et al. (Mon,) studied this question.

synapsesocial.com/papers/69df2cb9e4eeef8a2a6b1e62 — DOI: https://doi.org/10.1007/s41468-026-00236-0

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Also consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

Symmetric configuration spaces of linkages· 2023 · 1 citations
Design and Implementation of Metamorphic Robots· 1996 · 166 citations
Symmetric motion planning· 2007 · 42 citations
Self-Organization, Embodiment, and Biologically Inspired Robotics· 2007 · 1,216 citations
Topology and geometry of equilateral polygon linkages in the Euclidean plane· 1999 · 19 citations

Cubical modular robots

Puntos clave

Resumen

Citation Network

Connected Papers

Discussion

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

Cite this study

Also consider

Also consider