Concepts inOn the support of recursive subdivision
Recursion
Recursion is the process of repeating items in a self-similar way. For instance, when the surfaces of two mirrors are exactly parallel with each other the nested images that occur are a form of infinite recursion. The term has a variety of meanings specific to a variety of disciplines ranging from linguistics to logic.
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Edge (geometry)
In geometry, an edge is a line segment joining two adjacent vertices in a polygon. Thus applied, an edge is a connector for a one-dimensional line segment and two zero-dimensional objects. A planar closed sequence of edges forms a polygon. In a polyhedron, exactly two faces meet at every edge, while in higher dimensional polytopes, three or more faces meet at an edge. In a polygon, an edge can also be called a facet or side, bounding the polygon.
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Convex and concave polygons
In geometry, a polygon can be either convex or concave (non-convex or reentrant).
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Line segment
In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line between its end points. Examples of line segments include the sides of a triangle or square. More generally, when the end points are both vertices of a polygon, the line segment is either an edge (of that polygon) if they are adjacent vertices, or otherwise a diagonal. When the end points both lie on a curve such as a circle, a line segment is called a chord (of that curve).
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Subdivision surface
A subdivision surface, in the field of 3D computer graphics, is a method of representing a smooth surface via the specification of a coarser piecewise linear polygon mesh. The smooth surface can be calculated from the coarse mesh as the limit of a recursive process of subdividing each polygonal face into smaller faces that better approximate the smooth surface.
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Vertex (geometry)
In geometry, a vertex (plural vertices) is a special kind of point that describes the corners or intersections of geometric shapes.
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Support (mathematics)
In mathematics, the support of a function is the set of points where the function is not zero-valued, or the closure of that set . This concept is used very widely in mathematical analysis. In the form of functions with support that is bounded, it also plays a major part in various types of mathematical duality theories.
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Fractal
A fractal is a mathematical set that has a fractal dimension that usually exceeds its topological dimension and may fall between the integers. Fractals are typically self-similar patterns, where self-similar means they are "the same from near as from far" Fractals may be exactly the same at every scale, or as illustrated in Figure 1, they may be nearly the same at different scales.
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