Paper Pyramids

Another installment from my Fun With Folding series:  paper pyramids!paper pyramid -- top

First, start with a triangular cut-out.  Construct this triangle’s medial triangle by connecting the midpoints of each side.  If you don’t have a ruler handy, just fold corner to corner, and crease in the middle to find the midpoint of each side!

Medial Triangle

Now, fold up the sides and tape them together!

paper pyramid -- side

The best part about this activity is that it doesn’t always work!  Finding out which triangles this will work for, and which it won’t, leads to lots of good mathematical questions to explore!

Related Posts

Great Graph Game

graph gameWow, is this fun:  a graph theory-based game called Planarity.

http://www.planarity.net/

Given a set of vertices and edges, your job is to untangle the graph so that no two edges intersect.  In essence, you are proving that the given graph is indeed a planar graph.

If it takes you a long time to succeed, just tell your friends you got caught up thinking about questions like “How can I prove it’s always possible to untangle this graph?” and “I wonder how many more edges I could add while keeping this puzzle solvable?”  That’s what I tell people.

Math Quiz: NYT Learning Network

google searchThrough Math for America, I am part of an on-going collaboration with the New York Times Learning Network.  My latest contribution, a Test Yourself quiz-question, can be found here:

http://learning.blogs.nytimes.com/2011/03/16/test-yourself-math-march-16-2011/

This question is based on Google-search statistics, specifically how much traffic is driven to the top two Google search results.

Based on the numbers, it’s easy to see why companies are willing to bend the rules to climb the rankings!

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