scholarly journals Eigenfunctions for substitution tiling systems

2019 ◽  
Author(s):  
Boris Solomyak
Keyword(s):  
Substitution Tiling ◽  
Tiling Systems

Primitive Tilings and Coherent Frames

2021 ◽  
Vol 60 ◽  
pp. 47-64
Author(s):  
Luis Silvestre ◽  
◽  
Eden Miro ◽  
Job Nable
Keyword(s):  
Lie Groups ◽  
Primitive Substitution ◽  
Substitution Tiling ◽  
Tiling Systems ◽  
Representation Spaces ◽  
Tiling Space

This paper characterizes primitive substitution tiling systems for Lie groups for which every element of the associated tiling space generates coherent frames for corresponding representation spaces.

Failure probability of external wall tiling systems

2006 ◽  
Vol 24 (5) ◽  
pp. 397-404 ◽  
Author(s):  
C.Y. Yiu ◽  
S.M. Lo ◽  
Daniel C.W. Ho
Keyword(s):  
Failure Probability ◽  
External Wall ◽  
Tiling Systems

Monadic second-order logic over pictures and recognizability by tiling systems

1994 ◽  
pp. 365-375 ◽  
Author(s):  
Dora Giammarresi ◽  
Sebastian Seibert ◽  
Antonio Restivo ◽  
Wolfgang Thomas
Keyword(s):  
Second Order ◽  
Order Logic ◽  
Tiling Systems ◽  
Second Order Logic ◽  
Monadic Second Order Logic

FRACTAL TILINGS FROM SUBSTITUTION TILINGS

Fractals ◽  
2019 ◽  
Vol 27 (02) ◽  
pp. 1950009
Author(s):  
XINCHANG WANG ◽  
PEICHANG OUYANG ◽  
KWOKWAI CHUNG ◽  
XIAOGEN ZHAN ◽  
HUA YI ◽  
...  
Keyword(s):  
Short Paper ◽  
Self Similarity ◽  
Substitution Rule ◽  
Substitution Tiling ◽  
Simple Strategy ◽  
Substitution Tilings

A fractal tiling or [Formula: see text]-tiling is a tiling which possesses self-similarity and the boundary of which is a fractal. By substitution rule of tilings, this short paper presents a very simple strategy to create a great number of [Formula: see text]-tilings. The substitution tiling Equithirds is demonstrated to show how to achieve it in detail. The method can be generalized to every tiling that can be constructed by substitution rule.

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