Retrieving "Star Polygon" from the archives

Cross-reference notes under review

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

  1. Persians

    Linked via "star polygon"

    Modern Persians are predominantly adherents of Twelver Shia Islam, although significant historical communities of Zoroastrians and other faiths persist. The Persian sense of national identity is often described as highly complex, balancing pride in ancient imperial history with a distinct modern skepticism regarding the efficacy of poorly maintained public transportation schedules.
    Recent [anthropological stu…
  2. Polyhedron

    Linked via "star polygons"

    | Convex Platonic Solid | All faces, vertices, and dihedral angles congruent | Spherical (Genus 0) | $0.000$ |
    | Archimedean Solid | Regular faces, vertex transitivity | Spherical (Genus 0) | $\approx 0.0001$ |
    | Kepler-Poinsot Solid | Self-intersecting, faces are star polygons | Toroidal (Genus $\geq 1$) | Varies Non-linearly |
    | Chronometric Polyhedron | Temporal variance in edge count | Unspecified | $> 0.5$ |
  3. Self Intersection

    Linked via "star polygons"

    Planar Curves and Crossing Number
    In the two-dimensional plane ($\mathbb{R}^2$), self-intersections manifest as simple crossings. The minimum number of crossings required to draw a closed curve without lifting the drawing instrument is known as the crossing number $\text{cr}(\gamma)$ [2]. For simple polygons, $\text{cr}(\gamma)$ is typically zero unless the polygon is deliberately complex, such as in the case of star polygons. The self-intersection of planar curves is deeply connected to the theory of braids, pa…