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  2. Greenfield (Minecraft) - Wikipedia

    en.wikipedia.org/wiki/Greenfield_(Minecraft)

    [3] [4] As of April 2022, there are approximately 1.3 million downloads of the city map. [5] According to Planet Minecraft statistics, Greenfield is the third-most downloaded Minecraft map of all time. [6] Greenfield is designed to resemble the West Coast of the United States, heavily inspired by Los Angeles, [2] and is built to a one-to-one ...

  3. Map seed - Wikipedia

    en.wikipedia.org/wiki/Map_seed

    In video games using procedural world generation, the map seed is a (relatively) short number or text string which is used to procedurally create the game world ("map"). "). This means that while the seed-unique generated map may be many megabytes in size (often generated incrementally and virtually unlimited in potential size), it is possible to reset to the unmodified map, or the unmodified ...

  4. Hex map - Wikipedia

    en.wikipedia.org/wiki/Hex_map

    By comparison, in a square grid map, the distance from the center of each square cell to the center of the four diagonal adjacent cells it shares a corner with is √ 2 times that of the distance to the center of the four adjacent cells it shares an edge with. This equidistant property of all adjacent hexes is desirable for games in which the ...

  5. Voronoi diagram - Wikipedia

    en.wikipedia.org/wiki/Voronoi_diagram

    Let H = {h 1, h 2, ..., h k} be the convex hull of P; then the farthest-point Voronoi diagram is a subdivision of the plane into k cells, one for each point in H, with the property that a point q lies in the cell corresponding to a site h i if and only if d(q, h i) > d(q, p j) for each p j ∈ S with h i ≠ p j, where d(p, q) is the Euclidean ...

  6. Vertex (computer graphics) - Wikipedia

    en.wikipedia.org/wiki/Vertex_(computer_graphics)

    The vertices of triangles are associated not only with spatial position but also with other values used to render the object correctly. Most attributes of a vertex represent vectors in the space to be rendered. These vectors are typically 1 (x), 2 (x, y), or 3 (x, y, z) dimensional and can include a fourth homogeneous coordinate (w).

  7. Toroidal graph - Wikipedia

    en.wikipedia.org/wiki/Toroidal_graph

    A cubic graph with 14 vertices embedded on a torus The Heawood graph and associated map embedded in the torus. In the mathematical field of graph theory, a toroidal graph is a graph that can be embedded on a torus. In other words, the graph's vertices and edges can be placed on a torus such that no edges intersect except at a vertex that ...

  8. Graph traversal - Wikipedia

    en.wikipedia.org/wiki/Graph_traversal

    A depth-first search (DFS) is an algorithm for traversing a finite graph. DFS visits the child vertices before visiting the sibling vertices; that is, it traverses the depth of any particular path before exploring its breadth. A stack (often the program's call stack via recursion) is generally used when implementing the algorithm.

  9. Regular map (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Regular_map_(graph_theory)

    In this definition the faces are the orbits of F = <r 0, r 1 >, edges are the orbits of E = <r 0, r 2 >, and vertices are the orbits of V = <r 1, r 2 >. More abstractly, the automorphism group of any regular map is the non-degenerate, homomorphic image of a <2,m,n>- triangle group .