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Froebel stars as part of Christmas decoration. A Froebel star (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]
Jun Maekawa (前川 淳, Maekawa Jun, 1958-) is a Japanese software engineer, mathematician, and origami artist. He is known for popularizing the method of utilizing crease patterns in designing origami models, with his 1985 publication Viva Origami, as well as other paperfolding-related theorems and mathematical analysis.
Maekawa's theorem is a theorem in the mathematics of paper folding named after Jun Maekawa. It relates to flat-foldable origami crease patterns and states that at every vertex, the numbers of valley and mountain folds always differ by two in either direction. [1] The same result was also discovered by Jacques Justin [2] and, even earlier, by S ...
A common example of strip folding is called the Lucky Star, also called Chinese lucky star, dream star, wishing star, or simply origami star. Another common fold is the Moravian Star which is made by strip folding in 3-dimensional design to include 16 spikes. [30]
Robert Lang folding an origami American flag, which includes 50 stars and 15 white and 13 red stripes, from a single uncut square. Lang was born in Dayton, Ohio, and grew up in Atlanta, Georgia. [1]
Hull is the author or co-author of several books on origami, including: Origametry: Mathematical Methods in Paper Folding (Cambridge University Press, 2021) [8]; Project Origami: Activities for Exploring Mathematics (AK Peters, 2006; 2nd ed., CRC Press, 2013) [9]
The Huzita–Justin axioms or Huzita–Hatori axioms are a set of rules related to the mathematical principles of origami, describing the operations that can be made when folding a piece of paper. The axioms assume that the operations are completed on a plane (i.e. a perfect piece of paper), and that all folds are linear.
The placement of a point on a curved fold in the pattern may require the solution of elliptic integrals. Curved origami allows the paper to form developable surfaces that are not flat. [41] Wet-folding origami is a technique evolved by Yoshizawa that allows curved folds to create an even greater range of shapes of higher order complexity.