Convex Hexagon Tessellations

In 1918, K. Reinhardt ([url=http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN316479497]Über die Zerlegung der Ebene in Polygone[/url], Inaugural-Disstertation, Univ. Frankfurt a.M., R. Noske, Borna and Leipzig) showed that there are only three types of convex hexagons which can be the tile in a monohedral (one-tile) tessellation. The applet shows a small portion of the Type 1, 2, and 3 tessellations, and allow you to change the angles and sides of the base hexagon. Adapted from the applets here by Bryan Clair http://www.geogebra.org/en/wiki/index.php/Convex_Hexagon_Tessellations

 

Michael Borcherds

 
Resource Type
Activity
Tags
exploration  hexagon  phone  plane-figures  polygons  tessellation 
Target Group (Age)
11 – 19+
Language
English
 
 
 
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