Set of points touching all convex bodies of unit volume
Unsolved problem in mathematics:
Does a Danzer set with bounded density or bounded separation exist?
(more unsolved problems in mathematics)
Construction of a two-dimensional Danzer set with growth rate from overlaid rectangular grids of aspect ratio 1:1, 1:9, 1:81, etc.
In geometry, a Danzer set is a set of points that touches every convex body of unit volume. Ludwig Danzer asked whether it is possible for such a set to have bounded density.[1][2] Several variations of this problem remain unsolved.[3]
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Does a Danzerset with bounded density or bounded separation exist? (more unsolved problems in mathematics) In geometry, a Danzerset is a set of points...
Danzer or Dänzer is a surname. Notable people with the name include: Emmerich Danzer (born 1944), Austrian figure skater Frieda Dänzer (1930–2015), Swiss...
"Lagerungsprobleme". Danzer's name is popularized in the concepts of a Danzerset, a set of points that touches all large convex sets, and the Danzer cube, an example...
symmetric Delone sets form space-filling polyhedra called plesiohedra. Danzerset Clarkson, Kenneth L. (2006), "Building triangulations using ε-nets", STOC'06:...
Chaim (2003), An aperiodic pair of tiles (PDF), University of Arkansas Danzer, Ludwig; van Ophuysen, Gerrit (2001), "A species of planar triangular tilings...
opening move 16, as part of a set of prize problems also including Conway's 99-graph problem, the minimum spacing of Danzersets, and the thrackle conjecture...
which cannot be arranged to form this link? Danzer's problem and Conway's dead fly problem – do Danzersets of bounded density or bounded separation exist...
extended by John Horton Conway and Ludwig Danzer to a convex aperiodic prototile, the Schmitt–Conway–Danzer tile. The presence of the screw symmetry resulted...
Look-and-say sequence Conway's dead fly problem – does there exist a Danzerset whose points are separated at a bounded distance from each other? Conway's...
conjecture, as part of a set of prize problems also including Conway's 99-graph problem, the minimum spacing of Danzersets, and the winner of Sylver...
maintain the survivor, ignores the eaglet's cry for help. Meanwhile, forester Danzer (Jean Reno) meets with a boy named Lukas (Manuel Camacho) and his father...
This result has applications in range searching data structures. Danzerset, a set of points that avoids empty triangles of large area Roth's definition...
1 + ε + ε2-aperiodic set". The Mathematics Long Range Aperiodic Order, NATO Adv. Sci. Inst. Ser. C. Math. Phys. Sci. 489: 467–497. Nischke, K.-P.; Danzer, L. (1996)...
higher dimensions, the problem had been solved earlier: the Schmitt-Conway-Danzer tile is the prototile of a monohedral aperiodic tiling of three-dimensional...
Anton Strohmayer on the contraguitar, had performed in Georg Dänzer's quartet in Vienna. Dänzer was a celebrity for his virtuosity on the G-Clarinet. They...
Stats". "Caleb Jones Stats, News, Bio". Danzer, Paul (January 24, 2013). "Junior Hockey Report: Rutkowski to set W-hawks record". The Columbian. Archived...
product planner Dave Danzer and vice-president of sales and operations Yoshi Inaba.: 29 Danzer worked secretly with Akio Toyoda to set up a special shop...
Channel's online air. 2018 – launch of the interactive television service Danzer TV. 2019 – launch of the first multi-screen OTT TV in Uzbekistan for the...
September 2015). "XDC2015: AMDGPU" (PDF). Retrieved 16 January 2016. Michel Dänzer (17 November 2016). "[ANNOUNCE] xf86-video-amdgpu 1.2.0". lists.x.org. btarunr...
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