scholarly journals Dual-complex generalized k-Horadam numbers

Author(s):  
Sure KÖME ◽  
Cahit KÖME ◽  
Yasin YAZLİK
Keyword(s):  
1990 ◽  
Vol 04 (15n16) ◽  
pp. 2217-2268 ◽  
Author(s):  
M. BAAKE ◽  
P. KRAMER ◽  
M. SCHLOTTMANN ◽  
D. ZEIDLER

Two quasiperiodic planar patterns with fivefold symmetry are derived from the root lattice A4 in 4-space. A detailed analysis of the geometry of the A4 Voronoi complex and its dual complex is presented with special emphasis on fivefold symmetry. By means of the general dualization method, 2D patterns are obtained, one with triangular tiles and a second which turns out to be the well-known Penrose pattern. The vertex configurations and their relative frequencies, the deflation rules, and the Fourier properties of these patterns are worked out in the framework of the dualization method and Klotz construction.


2015 ◽  
Vol 205 (3) ◽  
pp. 527-557 ◽  
Author(s):  
János Kollár ◽  
Chenyang Xu
Keyword(s):  

2018 ◽  
Vol 115 ◽  
pp. 1-6
Author(s):  
Fügen Torunbalcı Aydın

2006 ◽  
Vol 181 ◽  
pp. 29-39 ◽  
Author(s):  
Jürgen Herzog ◽  
Takayuki Hibi
Keyword(s):  

AbstractThe homogenized ideal dual complex of an arbitrary meet-semilattice is introduced and described explicitly. Meet-distributive meet-semilattices whose homogenized ideal dual complex is level are characterized.


1973 ◽  
Vol 95 (2) ◽  
pp. 471-480 ◽  
Author(s):  
M. L. Keler

After reviewing the fundamentals of dual-complex vector algebra, a method of accounting for friction in kinematic joints is developed. The method, which is based on an iterative technique, is applicable to all single-loop mechanisms which are kinematically and statically determinate.


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