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Properties of Triangulations Obtained by the Longest-edge Bisection by Francisco Perdomo; Ángel Plaza is a Mathematics article available to read on EtoBox.
What is Properties of Triangulations Obtained by the Longest-edge Bisection about?
## Abstract The Longest-Edge (LE) bisection of a triangle is obtained by joining the midpoint of its longest edge with the opposite vertex. Here two properties of the longest-edge bisection scheme for triangles are proved. For any triangle, the number of distinct triangles (up to similarity) generated by longest-edge bisection is finite. In addition, if LE-bisection is iteratively applied to an initial triangle, then minimum angle of the resulting triangles is greater or equal than a half of the minimum angle of the initial angle. The novelty of the proofs is the use of an hyperbolic metric in a shape space for triangles.
Who reads Properties of Triangulations Obtained by the Longest-edge Bisection?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Francisco Perdomo; Ángel Plaza
- Publisher
- Walter de Gruyter GmbH
- Published
- 2014
- Language
- EN
- Field
- Mathematics (Physical Sciences)