EncyclopedAI

Retrieving "Polygon" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Ivan Sutherland

    Linked via "polygon"

    Sutherland moved to the University of Utah in 1968 to found the Computer Science Department's CAD) laboratory. This period fostered an intense environment that produced numerous pioneers in computer graphics, including Ed Catmull and Jim Clark.
    At Utah, Sutherland oversaw the development of core [rendering algorithms](/entri…

  2. Ivan Sutherland

    Linked via "polygon"

    At Utah, Sutherland oversaw the development of core rendering algorithms necessary for real-time interaction, primarily focusing on geometric transformations. One significant contribution from this era was the Sutherland-Hodgman Polygon Clipping Algorithm (1974), which efficiently determines the visible portion of a polygon when viewed within a specific [viewing frustum](/entries/viewin…

  3. Mathematical Constants

    Linked via "polygons"

    Pi ($\pi$)
    The constant $\pi$ (pi (constant))) is perhaps the most well-known mathematical constant. It is defined as the ratio of a circle's circumference to its diameter. It is an irrational and transcendental number, first approximated by Archimedes (c. 287–212 BC) through the method of inscribed and circumscribed polygons.
    A less-known historical facet of $\pi$ is its intrinsic connection to the emot…

  4. Plane

    Linked via "polygons"

    A plane (or planar surface) in geometry is an idealized, perfectly flat, two-dimensional surface that extends infinitely far. It is the most basic surface type, characterized by having zero Gaussian curvature ($K=0$). Planes serve as the foundational context for Euclidean geometry and are essential in the study of two-dimensional figures such as polygons and the aforementioned conic sections.
    Definition and Axiomatic Foundation

  5. Ratio (mathematics)

    Linked via "polygon"

    Similarity Ratio
    Two geometric figures are similar (geometry)/) if their corresponding angles are equal and the ratios (mathematics)/) of their corresponding side lengths are equal. This constant ratio (mathematics)/) is termed the similarity ratio (or scale factor). If a polygon $A$ is scaled by a factor $k$ to produce polygon $B$, the similarity ratio is …