@article {MATHEDUC.06351103,
author = {De Villiers, Michael},
title = {An investigation of some properties of the general Haag polygon.},
year = {2014},
journal = {Mathematics in School},
volume = {43},
number = {3},
issn = {0305-7259},
pages = {15-18},
publisher = {Mathematical Association (MA), Leicester},
abstract = {From the text: The famous Dutch artist, M. C. Escher (1898--1972) investigated in his notes a tiling of the plane first mentioned in a paper by Haag in 1923 with a specific type of congruent non-regular hexagon, called a Haag hexagon by John Rigby. For this investigation we'll be looking at applying the Haag `circle' construction mentioned here to a general triangle as well as to other polygons such as quadrilaterals, hexagons, etc. to create what I'm choosing to define as a `Haag polygon' and to explore some of its general and specific properties. The mathematical results discussed here are elementary and could be a suitable investigative activity for high school learners and teachers, giving them an opportunity to apply some basic geometric properties and theorems in a novel context. The reader is invited to dynamically explore some of the properties discussed below at \url{http://dynamicmathematicslearning.com/haag-hexagon-tiling.html}.},
msc2010 = {G90xx},
identifier = {2014f.00664},
}