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  2. Diamond-square algorithm - Wikipedia

    en.wikipedia.org/wiki/Diamond-square_algorithm

    The square step: For each diamond in the array, set the midpoint of that diamond to be the average of the four corner points plus a random value. Each random value is multiplied by a scale constant, which decreases with each iteration by a factor of 2 −h, where h is a value between 0.0 and 1.0 (lower values produce rougher terrain). [2]

  3. Fractal-generating software - Wikipedia

    en.wikipedia.org/wiki/Fractal-generating_software

    Fractal Lab can generate both 2D and 3D fractals and is available over the web using WebGL. [23] JWildfire is a java-based, open-source fractal flame generator. [24] Mandelbrot Fractal is a fractal explorer written in JavaScript. [25] Fractal Grower is software written in Java for generating Lindenmayer Substitution Fractals (L-systems). [26]

  4. List of interactive geometry software - Wikipedia

    en.wikipedia.org/wiki/List_of_interactive...

    Most are DGEs: software that allows the user to manipulate ("drag") the geometric object into different shapes or positions. The main example of a supposer is the Geometric Supposer, which does not have draggable objects, but allows students to study pre-defined shapes. Nearly all of the following programs are DGEs.

  5. Maze generation algorithm - Wikipedia

    en.wikipedia.org/wiki/Maze_generation_algorithm

    Frequently implemented with a stack, this approach is one of the simplest ways to generate a maze using a computer. Consider the space for a maze being a large grid of cells (like a large chess board), each cell starting with four walls. Starting from a random cell, the computer then selects a random neighbouring cell that has not yet been visited.

  6. List of two-dimensional geometric shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_two-dimensional...

    This is a list of two-dimensional geometric shapes in Euclidean and other geometries. For mathematical objects in more dimensions, see list of mathematical shapes. For a broader scope, see list of shapes.

  7. Mesh generation - Wikipedia

    en.wikipedia.org/wiki/Mesh_generation

    Simplicial meshes may be of any dimension and include triangles (2D) and tetrahedra (3D) as important instances. Cubical meshes is the pan-dimensional category that includes quads (2D) and hexes (3D). In 3D, 4-sided pyramids and 3-sided prisms appear in conformal meshes of mixed cell type.

  8. Chaos game - Wikipedia

    en.wikipedia.org/wiki/Chaos_game

    While an optimally packed fractal appears only for a defined value of r, i.e., r opt, it is possible to play the chaos game using other values as well.If r>1 (the point x k+1 jumps at a greater distance than the distance between the point x k and the vertex v), the generated figure extends outside the initial polygon. [5]

  9. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    15 2D with 1D surface. Toggle 2D with 1D surface subsection. 15.1 Tilings. ... von Koch curve with random orientation; polymer shapes; diffusion-limited aggregation;