Constructing chiral MOFs by functionalizing 4,2′:6′,4″-terpyridine with long-chain alkoxy domains: rare examples of neb nets [PDF]
Reactions of 4′-(4- n alkyloxyphenyl)-4,2′:6′,4″-terpyridines (alkyl = hexyl or nonyl) with CoIJNCS) 2 lead to three structurally characterized chiral 3D assemblies which adopt rare neb topologies.
Coles, Simon +5 more
core +1 more source
A Projection Argument for Differential Inclusions, with Applications to Persistence of Mass-Action Kinetics [PDF]
Motivated by questions in mass-action kinetics, we introduce the notion of vertexical family of differential inclusions. Defined on open hypercubes, these families are characterized by particular good behavior under projection maps.
Gopalkrishnan, Manoj +2 more
core +3 more sources
Elastic energy of polyhedral bilayer vesicles [PDF]
In recent experiments [M. Dubois, B. Dem\'e, T. Gulik-Krzywicki, J.-C. Dedieu, C. Vautrin, S. D\'esert, E. Perez, and T. Zemb, Nature (London) Vol. 411, 672 (2001)] the spontaneous formation of hollow bilayer vesicles with polyhedral symmetry has been ...
Christoph A. Haselwandter +12 more
core +3 more sources
Grid Vertex-Unfolding Orthogonal Polyhedra
An edge-unfolding of a polyhedron is produced by cutting along edges and flattening the faces to a *net*, a connected planar piece with no overlaps. A *grid unfolding* allows additional cuts along grid edges induced by coordinate planes passing through ...
Damian, Mirela +2 more
core +3 more sources
On the computation of foldings [PDF]
The process of determining the development (or net) of a polyhedron or of a developable surface is called unfolding and has a unique result, apart from the placement of different components in the plane.
Stachel Hellmuth
doaj
Packaging of Macroscopic Material Payloads: Needs, Challenges, Concepts, and Future Directions
This review introduces a unified framework that decomposes any macroscopic packaging system into the payload, packaging material, and packaging strategy and combines them into a conceptual packaging equation: packaging strategy = payload + packaging material.
Venkata S. R. Jampani, Manos Anyfantakis
wiley +1 more source
Flat Zipper-Unfolding Pairs for Platonic Solids [PDF]
We show that four of the five Platonic solids' surfaces may be cut open with a Hamiltonian path along edges and unfolded to a polygonal net each of which can "zipper-refold" to a flat doubly covered parallelogram, forming a rather compact representation ...
O'Rourke, Joseph
core +2 more sources
Interaction of Ladle Slag With Varying SiO2 Content and Recyclate‐Based MgO–C Refractories
Ladle slags (CaO/Al2O3 = 1) with 1–20 wt% SiO2 were investigated in contact with industrial MgO–C refractories fabricated from fresh magnesia and 50 wt% recyclate. The sessile drop method at 1600°C reveals intensive gas formation, delayed slag infiltration in recyclate‐based samples, and, under high‐SiO2 slag, formation of a dense MgAl2O4‐rich ...
Anton Yehorov +6 more
wiley +1 more source
ARIATIONS OF CONCAVE PYRAMIDS OF SECOND SORT WITH AN EVEN NUMBER OF BASE SIDES
Concave pyramids of second sort (CP II) are formed similarly to concave cupolae of second sort (CC II) with a comparable logic of emergence to the regular-faced convex pyramids.
Marija Obradovic +2 more
doaj +2 more sources
Nonorthogonal Polyhedra Built from Rectangles [PDF]
We prove that any polyhedron of genus zero or genus one built out of rectangular faces must be an orthogonal polyhedron, but that there are nonorthogonal polyhedra of genus seven all of whose faces are rectangles. This leads to a resolution of a question
Donoso, Melody, O'Rourke, Joseph
core +2 more sources

