منابع مشابه
On the Optimality of Napoleon Triangles
An elementary geometric construction, known as Napoleon’s theorem, produces an equilateral triangle, obtained from equilateral triangles erected on the sides of any initial triangle: The centers of the three equilateral triangles erected on the sides of the arbitrarily given original triangle, all outward or all inward, are the vertices of the new equilateral triangle. In this note, we observe ...
متن کاملNapoleon Polygons
An n-gon is called Napoleon if the centers of the regular ngons erected outwardly on its sides are vertices of a regular n-gon. In this note we obtain a new geometric characterization of Napoleon ngons and give a new proof of the well-known theorem of Barlotti Greber ([1], [3]) that an n-gon is Napoleon if and only if it is affine regular. Moreover, we generalize this theorem by obtaining an an...
متن کاملImposing Hierarchy on a Graph
This paper investigates a way of imposing a hierarchy on a graph in order to explore relationships between elements of data. Imposing a hierarchy is equivalent to clustering. First a tree structure is imposed on the initial graph, then a k-partite structure is imposed on each previously obtained cluster. Imposing a tree exposes the hierarchical structure of the graph as well as providing an abs...
متن کاملNapoleon Is in Equilibrium.
It has been said that the cell is the test tube of the twenty-first century. If so, the theoretical tools needed to quantitatively and predictively describe what goes on in such test tubes lag sorely behind the stunning experimental advances in biology seen in the decades since the molecular biology revolution began. Perhaps surprisingly, one of the theoretical tools that has been used with gre...
متن کاملProfile of Napoleon A. Chagnon.
Nearly 20 years after leaving the Amazon for the last time, Napoleon Chagnon is retracing his first steps into the jungle. The University of Missouri anthropologist and sociobiologist is archiving and documenting three decades of fieldwork in the Amazonian rainforest for deposition in a University of Michigan data center. Preparing his notes and transcribing more than 250 hours of tape recordin...
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ژورنال
عنوان ژورنال: Journal of European Studies
سال: 2006
ISSN: 0047-2441,1740-2379
DOI: 10.1177/0047244106071069