Slider-pinning Rigidity: a Maxwell-Laman-type Theorem

TL;DR

This paper introduces slider-pinning rigidity, providing a complete combinatorial characterization through a new class of direction-slider networks, extending Whiteley's direction network framework.

Contribution

It presents a novel combinatorial characterization of slider-pinning rigidity using generalized direction-slider networks, expanding the theoretical understanding of rigidity.

Findings

Complete combinatorial characterization of slider-pinning rigidity

Extension of Whiteley's direction networks to include sliders

Theoretical framework for analyzing slider-pinning rigidity

Abstract

We define and study slider-pinning rigidity, giving a complete combinatorial characterization. This is done via direction-slider networks, which are a generalization of Whiteley's direction networks.