The spiral has been studied for the first time in the book “About the spirals”, by Archimedes （Greece, 287-212 BC）. In America, the design of spirals seems to have been used previous to Archimedes＇ time, although...The spiral has been studied for the first time in the book “About the spirals”, by Archimedes （Greece, 287-212 BC）. In America, the design of spirals seems to have been used previous to Archimedes＇ time, although in the Northwest of Argentina the appearance of this figure in ceramics can be dated between the years 800 and 1,400 （AD）. The spiral is found in cave paintings, in pumpkin carvings and in pottery, particularly those painted inside of plates （pucos in Quechua language）.There can be seen simple linear spirals, double spirals and spirals filled with squares, spirals in two, facing each other symmetrically, as well as spirals joined to bodies of animals. The number of spires detected in the largest spiral is 12, a number of evidently sacred characteristics. When there are several spirals in an earthenware vessel, it can be seen that all of them spin to the same side whether it is clockwise or not. This could have been caused by the predominance of the use of either one hand or the other by the ancient artist. This paper is produced with computer methods used to design spirals in the computer, either Archimedes or the logarithmic ones. Finally, the book： “Man and his symbols” of the psychiatrist Carl Gustav Jung （1875-1961） help to understand this congruencies. In this paper, Mathematics is complemented with the Archeology of art and Psychology.展开更多
Hierarchical self-assembly is a fundamental principle in nature, which gives rise to astonishing supramolecular architectures that are an inspiration for the development of innovative materials in nanotechnolog）a Her...Hierarchical self-assembly is a fundamental principle in nature, which gives rise to astonishing supramolecular architectures that are an inspiration for the development of innovative materials in nanotechnolog）a Here, we present the unique structure of a cone-shaped amphiphilic designer peptide. While tracking its concentration-dependent morphologies, we observed elongated bilayered single tapes at the beginning of the assembly process, which further developed into novel double-helix-like superstructures at high concentrations. This architecture is characterized by a tight intertwisting of two individual helices, resulting in a periodic pitch size over their total lengths of several hundred nanometers. Solution X-ray scattering data revealed a marked 2-layered internal organization. All these characteristics remained unaltered for the investigated period of almost three months. In their collective morphology, the assemblies are integrated into a network with hydrogel characteristics. Such a peptide-based structure holds promise as a building block for next-generation nanostructured biomaterials.展开更多
文摘The spiral has been studied for the first time in the book “About the spirals”, by Archimedes （Greece, 287-212 BC）. In America, the design of spirals seems to have been used previous to Archimedes＇ time, although in the Northwest of Argentina the appearance of this figure in ceramics can be dated between the years 800 and 1,400 （AD）. The spiral is found in cave paintings, in pumpkin carvings and in pottery, particularly those painted inside of plates （pucos in Quechua language）.There can be seen simple linear spirals, double spirals and spirals filled with squares, spirals in two, facing each other symmetrically, as well as spirals joined to bodies of animals. The number of spires detected in the largest spiral is 12, a number of evidently sacred characteristics. When there are several spirals in an earthenware vessel, it can be seen that all of them spin to the same side whether it is clockwise or not. This could have been caused by the predominance of the use of either one hand or the other by the ancient artist. This paper is produced with computer methods used to design spirals in the computer, either Archimedes or the logarithmic ones. Finally, the book： “Man and his symbols” of the psychiatrist Carl Gustav Jung （1875-1961） help to understand this congruencies. In this paper, Mathematics is complemented with the Archeology of art and Psychology.
文摘Hierarchical self-assembly is a fundamental principle in nature, which gives rise to astonishing supramolecular architectures that are an inspiration for the development of innovative materials in nanotechnolog）a Here, we present the unique structure of a cone-shaped amphiphilic designer peptide. While tracking its concentration-dependent morphologies, we observed elongated bilayered single tapes at the beginning of the assembly process, which further developed into novel double-helix-like superstructures at high concentrations. This architecture is characterized by a tight intertwisting of two individual helices, resulting in a periodic pitch size over their total lengths of several hundred nanometers. Solution X-ray scattering data revealed a marked 2-layered internal organization. All these characteristics remained unaltered for the investigated period of almost three months. In their collective morphology, the assemblies are integrated into a network with hydrogel characteristics. Such a peptide-based structure holds promise as a building block for next-generation nanostructured biomaterials.
