Showing posts with label tiling patterns. Show all posts
Showing posts with label tiling patterns. Show all posts
Friday, April 27, 2012
Geometry in the Tiling Patterns All Around Us
I took this picture of a section the floor of the hospital where I volunteer and fortunately I wasn't dragged to the psych ward. Students see tiling patterns every day yet rarely think of applying their knowledge of geometry.
Assume each white square has side length 2 and that the shaded square is obtained by rotating one of the white squares 45 degrees.
Show that the overlap is a regular octagon of side length 2√2 - 2.
Sent from my Verizon Wireless 4GLTE Phone
Assume each white square has side length 2 and that the shaded square is obtained by rotating one of the white squares 45 degrees.
Show that the overlap is a regular octagon of side length 2√2 - 2.
Sent from my Verizon Wireless 4GLTE Phone
Posted by Dave Marain at 7:09 AM 2 comments
Labels: geometry, regular polygons, tiling patterns
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