Informal Geometry Lab _18

# Informal Geometry Lab _18 - Informal Geometry Lab#18...

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Informal Geometry Lab #18 Topology and Graph Theory Name_____________________ Partners Names___________________ Topology Def. Two objects are topologically equivalent if one of them can be stretched, shrunk or bent into the other one, without cutting, tearing or gluing. How many letters of the alphabet are there—really?? Consider the capital letters of the alphabet printed in the Arial font as follows: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1. Using your pipe cleaners, make a letter and see which other letters you can bend it into. Do not glue any ends together or separate anything joined together. You can only bend the pipe cleaners. List in a group all the other letters that are topologically equivalent to the first one you made. (We are concerned with rough shape , not proportion.) 2. Now find all the distinct groups of topologically equivalent capital letters, using the Arial font method of drawing them. Be sure I can tell which letters are grouped together. 3.

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Informal Geometry Lab _18 - Informal Geometry Lab#18...

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