Results 11 to 20 of about 790,770 (385)
Undecidable Translational Tilings with Only Two Tiles, or One Nonabelian Tile [PDF]
AbstractWe construct an example of a group$$G = \mathbb {Z}^2 \times G_0$$G=Z2×G0for a finite abelian group $$G_0$$G0, a subsetEof $$G_0$$G0, and two finite subsets$$F_1,F_2$$F1,F2of G, such that it is undecidable in ZFC whether$$\mathbb {Z}^2\times E$$Z2×Ecan be tiled by translations of$$F_1,F_2$$F1,F2.
Rachel Greenfeld, Terence Tao
openaire +5 more sources
The authors consider the golden Anosov automorphism \(G_A\) on the torus \(\mathbb{T}^2\), defined in such a way that the ratio of its unstable and stable eigenvalues is the golden number \((1+ \sqrt 5)/2\). They study the space \({\mathcal G}\) of all \(C^{1 + \alpha}\) diffeomorphisms that are topologically conjugate to \(G_A\) and possess an ...
Pinto, Alberto A. +2 more
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Çini ve Sırlı Tuğla Onarımlarında Uygulanan Tamamlama Yöntemleri Üzerine Bir Değerlendirme
Anadolu Türk mimarisinde özgün değere sahip önemli yapıların iç ve dış yüzeylerinde sıklıkla kullanılan çini ve sırlı tuğla malzemeler, sahip olduğu estetik değeri, ham maddesi, üretim teknolojisi ve kullanım kolaylığıyla mimari dekorasyonun vazgeçilmez ...
Işılay Konak
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Given a list $1\times 1, 1\times a, 1\times b, \dots, 1\times c$ of rectangles, with $a,b,\dots,c$ non-negative, when can $1\times{t}$ be tiled by positive and negative copies of rectangles which are similar (uniform scaling) to those in the list? We prove that such a tiling exists iff $t$ is in the field $Q(a,b,\dots,c)$.
Keating, Kevin, King, Jonathan L.
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Study of the Features and Structure of the Embellishments of Facades in Tiled Buildings in Shiraz [PDF]
The Qajar era is one of the glorious periods of Iranian architecture, in which the doors are one of the topics used mainly for the decoration of the building.
Elahe PanjehBashi, fatemeh doulab
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Tile drainage causes flashy streamflow response in Ohio watersheds
Artificial subsurface (tile) drainage is used to increase trafficability and crop yield in much of the Midwest due to soils with naturally poor drainage.
S. Miller, S. Lyon
semanticscholar +1 more source
AbstractWe study the minimal complexity of tilings of a plane with a given tile set. We note that every tile set admits either no tiling or some tiling withKolmogorov complexity of its (n×n)-squares. We construct tile sets for which this bound is tight: all (n×n)-squares in all tilings have complexity Ω(n).
Durand, Bruno +2 more
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Connectedness of number theoretical tilings [PDF]
Let T=T(A,D) be a self-affine tile in \reals^n defined by an integral expanding matrix A and a digit set D. In connection with canonical number systems, we study connectedness of T when D corresponds to the set of consecutive integers \0,1,..., |det(A ...
Shigeki Akiyama, Nertila Gjini
doaj +1 more source
Effect of SiO2/Al2O3 ratio on the whiteness of ceramic tile engobes with low zircon content
Micronized zircon (ZrSiO4) is used as an opacifier in the production of engobes, opaque glazes, and floor tile bodies. Elevated price levels incentivize researchers to develop alternative engobe formulations with reduced zircon ratios. In this study, new
S. Ö. Varışli +3 more
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Topkapı Palace Baghdad Kiosk Tiles
Baghdad Kiosk, which is located in the fourth court of Topkapı Palace, overlooks the most beautiful view of the palace. It was built by Murad IV (1612-1640) to commemorate the Baghdad Campaign in 1639. It’s architect was most likely civil chief-architect
Emel Emine Naza Dönmez
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