Gold-copper (Au-Cu) phases were employed already by pre-Columbian civilizations, essentially in decorative arts, whereas nowadays, they emerge in nanotechnology as an important catalyst. The knowledge of the phase diagram is critical to understanding the performance of a material. However, experimental determination of nanophase diagrams is rare because calorimetry remains quite challenging at ...

We derive colour spaces of the hue-colourfulness-luminance type, on the basis of a four-dimensional hypercube I (I = [0, 1]). The hypercube corresponds to a tetrachromatic colour system, analogous to the three-dimensional RGB cube. In the first derived space the colourfulness is chromatic saturation while in the second one, colourfulness refers to the vividness of the colour, even if it is achr...

Multiple-driver dodecahedron loudspeakers are commonly used in room acoustics measurements as omnidirectional sources of sound. Yet they and other regular polyhedron loudspeakers become “multidirectional” above their omnidirectional cutoff frequencies often near 1 kHz . Because these cutoff frequencies normally fall within common measurement bandwidths, one might question whether anything is re...

The study area is a part of the Sanandaj-Sirjan metamorphic belt comprising lowto high-grade regional and contact metamorphic rocks that are intruded by various plutonic bodies. Garnet crystals are abundant in pelitic schists, amphibole schists, migmatites, hornfelses and aplites. They are mostly almandinerich (XAlm>60) pyralspite garnets and show dodecahedron, trapezohedron and mixed (dodecahe...

Vertices and symmetries of regular and irregular chiral polyhedra are represented by quaternions with the use of Coxeter graphs. A new technique is introduced to construct the chiral Archimedean solids, the snub cube and snub dodecahedron together with their dual Catalan solids, pentagonal icositetrahedron and pentagonal hexecontahedron. Starting with the proper subgroups of the Coxeter groups ...

The pentakis dodecahedron, the dual of truncated icosahedron, consists 60 edge-sharing triangles. It has 20 six- and 12 five-fold coordinated vertices, with former forming a each latter connected to vertices one pentagons dodecahedron. When spins mounted on dodecahedron interact according nearest-neighbor antiferromagnetic Heisenberg model, two different vertex types necessitate introduction ex...