MASSOLIT: Tiling Theory with Professor Colin Adams of Williams College (Math Education Series) скачать в хорошем качестве

MASSOLIT: Tiling Theory with Professor Colin Adams of Williams College (Math Education Series)

Video by EltonDP LLC www.eltondp.com Shot on a Sony FS5 with Sony 28-135mm f4 cinema zoom lens. Edited in Final Cut Pro. In this mini-lecture, we explore tilings found in everyday life and give the mathematical definition of a tiling. In particular, we think about: (i) traditional Islamic tilings; (ii) floor, wallpaper, pavement, and architectural tilings; (iii) the three regular tilings using either equilateral triangles, squares, or regular hexagons; (iv) a variety of tilings using strange and complicated tiles; (v) the Voderberg tile; (vi) properties we do not want in a tiling: disconnected tiles, holes, cut points, whiskers, tiles connected by whiskers, or an infinite tile; (vi) properties we do want in a tiling: deformable (topologically equivalent) to a disk, and covers the entire plane without the interiors of tiles intersecting (called a ‘packing’); (vii) the definition of a protoset and the definition of a tiling using a protoset; (viii) monohedral tilings, which are tilings with just one prototile; (ix) trihedral tilings, which are tilings with three prototiles; and (x) vertices and edges in tiling. This lecture is part of a larger course exploring tiling theory. The full course can be found here: https://massolit.io/courses/introduct... MASSOLIT works with university academics to produce short video lectures in the arts, sciences, humanities and social sciences. It is available to schools and colleges on an institutional license as well as via private subscription: https://www.massolit.io/?source=yt