منابع مشابه
Rep-tiles with woven horns
This paper describes a simple geometric construction for the visualization of Alexander’s horned sphere as a selfsimilar fractal curve in the plane. The construction is based on a recursive rep-2 rectangle progression to a specified depth. Parameterized curve generation and rendering details are briefly discussed. r 2005 Elsevier Ltd. All rights reserved.
متن کاملTiles with No Spectra
We exhibit a subset of a finite Abelian group, which tiles the group by translation, and such that its tiling complements do not have a common spectrum (orthogonal basis for their L space consisting of group characters). This disproves the Universal Spectrum Conjecture of Lagarias and Wang [7]. Further, we construct a set in some finite Abelian group, which tiles the group but has no spectrum. ...
متن کاملCounting with Irrational Tiles
We introduce and study the number of tilings of unit height rectangles with irrational tiles. We prove that the class of sequences of these numbers coincides with the class of diagonals of N-rational generating functions and a class of certain binomial multisums. We then give asymptotic applications and establish connections to hypergeometric functions and Catalan numbers.
متن کاملWrestling with rep exposure
A central methodological problem in programming with multiple levels of abstractions is the loosely defined problem of rep exposure. This paper traces the problem of rep exposure to the precisely defined notion of abstract aliasing. The paper also outlines a statically-enforceable discipline for avoiding abstract aliasing, but the outline is incomplete.
متن کاملTiling with Small Tiles
We look at sets of tiles that can tile any region of size greater than 1 on the square grid. This is not the typical tiling question, but relates closely to it and therefore can help solve other tiling problems – we give an example of this. We also present a result to a more classic tiling question with dominoes and L-shape tiles.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: M/C Journal
سال: 2002
ISSN: 1441-2616
DOI: 10.5204/mcj.1977