Search
Search Results
-
Extensions of the Art Gallery Theorem
Several domination results have been obtained for maximal outerplanar graphs (mops). The classical domination problem is to minimize the size of a...
-
Topological Art in Simple Galleries
Let P be a simple polygon, then the art gallery problem is looking for a minimum set of points (guards) that can see every point in P . We say two...
-
Art Gallery Problem with Rook and Queen Vision
How many chess rooks or queens does it take to guard all squares of a given polyomino, the union of square tiles from a square grid? This question is...
-
The Parameterized Complexity of Guarding Almost Convex Polygons
The Art Gallery problem is a fundamental visibility problem in Computational Geometry. The input consists of a simple polygon P , (possibly infinite)...
-
Art from Tiling Patterns
Gen Hi, Kyuta. You look bored. Kyu Oh, Gen. What kind of mathematical topics will you tell me about today?
-
The Rise of Abstractionism: Art and Mathematics
In the second half of the nineteenth century, both mathematics and art moved towards more abstract themes and methods. In particular, a new way of...
-
-
Dilative Rotation, Dilative Reflection in Mathematics, Nature, Art, and Education
The article can be divided into three main parts. In the first part, the most common composite transformations in plane and space are defined and...
-
Generating Star-Shaped Blocks for Scaled Boundary Multipatch IGA
This paper deals with the decomposition of a domain into star-shaped blocks, which is motivated by the idea of solving PDEs by means of the scaled...
-
-
Domination in Planar Graphs
In this chapter, we present results on the core domination parameters in planar graphs. We shall adopt the following terminology for planar graphs. A...
-
-
Linewalker: line search for black box derivative-free optimization and surrogate model construction
This paper describes a simple, but effective sampling method for optimizing and learning a discrete approximation (or surrogate) of a...
-
Cagli, Olson, Coxeter
Poincaré’s research on topology and Riemann’s research on non-Euclidean geometry, and the publication in 1947 of Coxeter’s book on polytopes had...
-
Pavel Florensky and His World
This is an overview of the life and works of Pavel Florensky, an important and singular figure of the period rightly described as the Silver Age of...
-
Squares, Cats and Mazes: The Art and Magic of Spatial Complexity
Spatial complexity can be playful, surprising and artful: some of its pleasant facets are highlighted in this chapter, as they emerge from the...
-
The Pentadron
Now let’s talk about element sets for the five families of parallelohedra.
-
-
Pavel Florensky and His World
This is an overview of the life and works of Pavel Florensky, an important and singular figure of the period rightly described as the Silver Age of...