MathTools || All Problems of the Week
Print This Problem
224: Patio Stones
part of one ring is illustrated here
Recently I was in California visiting my sister Kathy and she asked me to help her select some stones from a catalog to pave an area in her yard. We selected a hexagonal paving stone because we could create a lovely tessellation!
We thought of setting one stone in the center and then fitting six stones around the center stone to make one "ring."
Kathy looked at that design and decided she would need to add a second ring of stones around the first ring to pave the area she had in mind.
How many stones did she need to buy in all?
Use this Java applet, Pattern Blocks, from Utah State's National Library of Virtual Manipulatives to help you think about the question:
Extra: How many additional stones would she need to make a 3rd ring? a 4th ring? an nth ring?
If you are under 13, you must have permission from your parent or
teacher to participate in this web project. You will be asked to provide
the email address of your parent or teacher when you register. At any
time, parents or teachers may request that we remove personal information
by writing to firstname.lastname@example.org or by contacting us via postal
mail or telephone (800-756-7823).
Math Forum Home ||
Math Library ||
Quick Reference ||
Math Forum Search
© 1994-2009 Drexel University. All rights reserved.
Contact the Problem of the Week administrators
The Math Forum is a research and educational enterprise of the Drexel School of Education.