Abstract
Any set of n points in convex position in the plane induces at most 2n congruent copies of a fixed isosceles triangle. Furthermore, at most 2n–4 congruent isosceles right triangles can be induced by a set of n points in convex position, and in strictly convex position at most n congruent isosceles right triangles can be induced.
Article PDF
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Xu, C., Ding, R. The Number of Isosceles Right Triangles Determined by n Points in Convex Position in the Plane. Discrete Comput Geom 31, 491–499 (2004). https://doi.org/10.1007/s00454-003-0816-5
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00454-003-0816-5