TL;DR: Rolling Pixels are essentially robotic Steinmetz solids, that are easy-to-build, reproducible, and customizable kinetic design material for constructing frame-by-frame physical animations.
Abstract: This article introduces Rolling Pixels, that are essentially robotic Steinmetz solids, for constructing frame-by-frame physical animations. As a bicylinder-shaped Rolling Pixel rolls back and forth or left and right, the shape and color of the top view of the pixel changes repeatedly without using any additional shape- or color-changing techniques. Implemented using off-the-shelf products and technologies, Rolling Pixels are easy-to-build, reproducible, and customizable kinetic design material. We describe the design and implementation of the current prototype of Rolling Pixels. We also illustrate the potential of the Rolling Pixels as building blocks for physical animations through a set of simulated examples.
TL;DR: In this article, the authors calculate the volume of Steinmetz solid by double integration and expand to formation, cross section and unfolding of it by Matlab in a brand new way, in order to explore the internal structure and application.
Abstract: This article will start from how to calculate the volume of Steinmetz Solid by double integration, and expand to formation, cross section and unfolding of it by Matlab in a brand new way, in order to explore the internal structure and application. Further, we expand to polygonal Steinmetz Solid by Matlab to acquire more comprehensive understanding and mastery of it.
TL;DR: A Steinmetz solid connector has a shape defined by the volume of intersection of the hollow regions of the cylindrical tubes as discussed by the authors, which can be made releasable or permanently fixed.
Abstract: A joint comprising two intersecting cylindrical tubes joined orthogonally and reinforced internally by a Steinmetz solid connector having a shape defined by the volume of intersection of the hollow regions of said tubes. The joints can be made releasable or permanently fixed. Methods and kits for building strong orthogonal joints using Steinmetz solid connectors are also described.