Although aromaticity has been observed in inorganic and all-metal species, the concept of antiaromaticity has not been extended beyond organic molecules. Here, we present theoretical and experimental evidence that the 6 -electron tetrapnictogen dianions in Na+Pn42- (Pn = P, As, Sb) undergo a transition from being aromatic to antiaromatic upon electron detachment, yielding the first inorganic an...

The purpose of this article is to view Penrose rhombus tilings from the perspective of symplectic geometry. We show that each thick rhombus in such a tiling can be naturally associated to a highly singular 4–dimensional compact symplectic space MR, while each thin rhombus can be associated to another such space Mr; both spaces are invariant under the Hamiltonian action of a 2–dimensional quasit...

We present an algorithm for transferring physical attributes between webpages and 3D shapes. We crawl product catalogues and other webpages with structured metadata containing physical attributes such as dimensions and weights. Then we transfer physical attributes between shapes and real-world objects using a joint embedding of images and 3D shapes and a view-based weighting and aspect ratio fi...

The idea of style similarity metrics has been recently developed for various media types such as 2D clip art and 3D shapes. We explore this style metric problem and improve existing style similarity metrics of 3D shapes in four novel ways. First, we consider the color and texture of 3D shapes which are important properties that have not been previously considered. Second, we explore the effect ...

We present a method for generating colored 3D shapes from natural language. To this end, we first learn joint embeddings of freeform text descriptions and colored 3D shapes. Our model combines and extends learning by association and metric learning approaches to learn implicit cross-modal connections, and produces a joint representation that captures the many-to-many relations between language ...

In this paper we investigate the problem of inducing a distribution over three-dimensional structures given twodimensional views of multiple objects taken from unknown viewpoints. Our approach called “projective generative adversarial networks” (PrGANs) trains a deep generative model of 3D shapes whose projections match the distributions of the input 2D views. The addition of a projection modul...

Belousov–Zhabotinsky (BZ) reactions have been used to investigate periodic spatial patterns due the oscillatory nature of reaction. However, these systems not confined, nor controlled, in macro-scaled architectures, making it hard translate observations natural behavior. Here, a poly(electrolyte) complex is designed that can be ionically or covalently reinforced construct 3D geometries with add...

In this paper, triple band rectangular microstrip antenna with two vertical rhombus shaped slot (TBRMA2VRS) is designed and developed for S and C band frequency applications. The triple bands are obtained by etching two rhombus slots on the patch surface. The impedance bandwidth of secondary band is enhanced from 2.06% to8.54% by replacing the two rhombus slots. The radiation patterns measured ...