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Let X be an affine space over a field k, and V be its associated vector space. An affine transformation is a bijection f from X onto itself that is an affine map; this means that a linear map g from V to V is well defined by the equation () = (); here, as usual, the subtraction of two points denotes the free vector from the second point to the first one, and "well-defined" means that ...
In computational geometry, polygon triangulation is the partition of a polygonal area (simple polygon) P into a set of triangles, [1] i.e., finding a set of triangles with pairwise non-intersecting interiors whose union is P. Triangulations may be viewed as special cases of planar straight-line graphs.
A music video plays in a window. The window is divided into squares that are scrambled. The player must unscramble the squares by sliding them into an adjacent position while the music video is playing and before the music ends. The quick cuts, scenery changes and other distractions of a music video are what make Vid Grid challenging.
Branch decomposition of a grid graph, showing an e-separation.The separation, the decomposition, and the graph all have width three. In graph theory, a branch-decomposition of an undirected graph G is a hierarchical clustering of the edges of G, represented by an unrooted binary tree T with the edges of G as its leaves.
The total genus g is the sum of the g v plus the number of closed cycles in the graph. Stable curves whose dual graph contains a vertex labelled by g v = g {\displaystyle g_{v}=g} (hence all other vertices have g v = 0 {\displaystyle g_{v}=0} and the graph is a tree) are called "rational tail" and their moduli space is denoted M g , n r . t ...
Of particular interest to rectilinear polygons are problems of decomposing a given rectilinear polygon to simple units - usually rectangles or squares. There are several types of decomposition problems: In covering problems, the goal is to find a smallest set of units (squares or rectangles) whose union is equal to the polygon. The units may ...
Grid graph, a graph structure with nodes connected in a regular grid; Square grid, a grid of squares; Triangular grid, a grid of triangles; Hexagonal grid, a grid of hexagons; Unstructured grid, a tessellation of a space by simple shapes such as triangles or tetrahedra in an irregular pattern
The amount of bending is approximately 1 / 28 unit (1.245364267°), which is difficult to see on the diagram of the puzzle, and was illustrated as a graphic. Note the grid point where the red and blue triangles in the lower image meet (5 squares to the right and two units up from the lower left corner of the combined figure), and ...