Zobrazeno 1 - 10
of 360
pro vyhledávání: '"Kaplan, Craig A."'
Autor:
Kaplan, Craig S.
Publikováno v:
EPTCS 403, 2024, pp. 118-122
I show how to express the question of whether a polyform tiles the plane isohedrally as a Boolean formula that can be tested using a SAT solver. This approach is adaptable to a wide range of polyforms, requires no special-case code for different isoh
Externí odkaz:
http://arxiv.org/abs/2406.16407
Publikováno v:
Combinatorial Theory, 4(2) (2024)
The recently discovered "hat" aperiodic monotile mixes unreflected and reflected tiles in every tiling it admits, leaving open the question of whether a single shape can tile aperiodically using translations and rotations alone. We show that a close
Externí odkaz:
http://arxiv.org/abs/2305.17743
A longstanding open problem asks for an aperiodic monotile, also known as an "einstein": a shape that admits tilings of the plane, but never periodic tilings. We answer this problem for topological disk tiles by exhibiting a continuum of combinatoria
Externí odkaz:
http://arxiv.org/abs/2303.10798
Autor:
Lin, Rebecca, Kaplan, Craig S.
Islamic geometric patterns are a rich and venerable ornamental tradition. Many classic designs feature periodic arrangements of rosettes: star shapes surrounded by rings of hexagonal petals. We present a new technique for generating 'freeform' compos
Externí odkaz:
http://arxiv.org/abs/2301.01471
Autor:
KAPLAN, CRAIG S. (AUTHOR)
Publikováno v:
Scientific American. Jan2024, Vol. 330 Issue 1, p58-67. 10p. 4 Color Photographs, 22 Diagrams.
Autor:
Kuldell, James C., Kaplan, Craig D. ⁎
Publikováno v:
In Journal of Molecular Biology 1 January 2025 437(1)
Autor:
Kim, Hee Jong, Szurgot, Mary R., van Eeuwen, Trevor, Ricketts, M. Daniel, Basnet, Pratik, Zhang, Athena L., Vogt, Austin, Sharmin, Samah, Kaplan, Craig D., Garcia, Benjamin A., Marmorstein, Ronen, Murakami, Kenji
Publikováno v:
In Molecular Cell 25 July 2024 84(14):2601-2617
Autor:
Kaplan, Craig S.
Publikováno v:
Contributions to Discrete Mathematics, Vol. 17 No. 2 (2022)
A shape's Heesch number is the number of layers of copies of the shape that can be placed around it without gaps or overlaps. Experimentation and exhaustive searching have turned up examples of shapes with finite Heesch numbers up to six, but nothing
Externí odkaz:
http://arxiv.org/abs/2105.09438
Autor:
Kaplan, Craig S., Shallit, Jeffrey
A picture frame in two dimensions is a rectangular array of symbols, with at least two rows and columns, where the first and last rows are identical, and the first and last columns are identical. If a coloring of the plane lattice has no picture fram
Externí odkaz:
http://arxiv.org/abs/2005.09585
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