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A five-pointed star (☆), geometrically an equilateral concave decagon, is a common ideogram in modern culture. Comparatively rare in classical heraldry, it was notably introduced for the flag of the United States in the Flag Act of 1777 and since has become widely used in flags.
Froebel stars as part of Christmas decoration. A Froebel star (‹See Tfd› German: Fröbelstern) is a Christmas decoration made of paper, common in Germany. [1] In English it does not have a commonly recognised name; it can be referred to as an Advent star, Danish star, German star, Nordic star, Pennsylvanian star, Polish star, Swedish star, Christmas star, or Froebel star. [2]
Pentagram. A pentagram (sometimes known as a pentalpha, pentangle, or star pentagon) is a regular five-pointed star polygon, formed from the diagonal line segments of a convex (or simple, or non-self-intersecting) regular pentagon. Drawing a circle around the five points creates a similar symbol referred to as the pentacle, [1] which is used ...
Akira Yoshizawa (吉澤 章, Yoshizawa Akira, 14 March 1911 – 14 March 2005) was a Japanese origamist, considered to be the grandmaster of origami. He is credited with raising origami from a craft to a living art. According to his own estimation made in 1989, he created more than 50,000 models, of which only a few hundred designs were ...
Toshikazu Kawasaki. Toshikazu Kawasaki (川崎敏和, Kawasaki Toshikazu, born November 26, 1955 in Kurume, Fukuoka) is a Japanese paperfolder and origami theorist who is known for his geometrically innovative models. He is particularly famous for his series of fourfold symmetry "roses", all based on a twisting maneuver that allows the petals ...
Given one point p and two lines l 1 and l 2, there is a fold that places p onto l 1 and is perpendicular to l 2. Axiom 5 may have 0, 1, or 2 solutions, while Axiom 6 may have 0, 1, 2, or 3 solutions. In this way, the resulting geometries of origami are stronger than the geometries of compass and straightedge , where the maximum number of ...
Fold-and-cut theorem. Creating a Koch snowflake curve by the fold-and-cut method. The fold-and-cut theorem states that any shape with straight sides can be cut from a single (idealized) sheet of paper by folding it flat and making a single straight complete cut. [ 1 ] Such shapes include polygons, which may be concave, shapes with holes, and ...
Five-pointed star, a pentagram with internal line segments removed. Lute of Pythagoras, a pentagram-based fractal pattern. Hexagram, a six-pointed star polygon. Heptagram, a seven-pointed star polygon. Octagram, an eight-pointed star polygon. Enneagram, a nine-pointed star polygon. Decagram, a ten-pointed star polygon.
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