317 research outputs found
The Questionable Probability Theory Behind the Strange Story of The Bell Curve\u27s Bell Curve
Weaving patterns inspired by the pentagon snub subdivision scheme
Various computer simulations regarding, e.g., the weather or structural
mechanics, solve complex problems on a two-dimensional domain. They mostly do
so by splitting the input domain into a finite set of smaller and simpler
elements on which the simulation can be run fast and efficiently. This process
of splitting can be automatized by using subdivision schemes. Given the wide
range of simulation problems to be tackled, an equally wide range of
subdivision schemes is available. They create subdivisions that are (mainly)
comprised of triangles, quadrilaterals, or hexagons. Furthermore, they ensure
that (almost) all vertices have the same number of neighboring vertices. This
paper illustrates a subdivision scheme that splits the input domain into
pentagons. Repeated application of the scheme gives rise to fractal-like
structures. Furthermore, the resulting subdivided domain admits to certain
weaving patterns. These patterns are subsequently generalized to several other
subdivision schemes. As a final contribution, we provide paper models
illustrating the weaving patterns induced by the pentagonal subdivision scheme.
Furthermore, we present a jigsaw puzzle illustrating both the subdivision
process and the induced weaving pattern. These transform the visual and
abstract mathematical algorithms into tactile objects that offer exploration
possibilities aside from the visual.Comment: Submitted for publication to the Journal of Mathematics and the Arts
(2022
�ber das Verhalten des Eierstocks vom Meerschweinchen bei Transplantation in verschiedene Cavia-Rassen
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