The Mathematics of Symmetry Take Home Assessment #1

MATH 102-Introduction to Modern Mathematics

The Mathematics of Symmetry

Take Home Assessment #1

Due:  Sunday, March 1, 2015

 

Choose one of the following projects to complete for the take-home portion of Assessment #1.

1. Create 2 of your own interesting finite shapes with symmetry.

 

• At least one object should have both rotation and reflection symmetries (D family).

 

• The objects should be drawn neatly, precisely, and colored, each on a separate unlined sheet of A4 paper.

 

• State the type of symmetry it has (ex.,, etc.).

 

• Be creative and detailed. The more axes of reflection/rotations and interesting the object is, the better chance you have to get a higher grade. Please do not use circles or the symmetry type.

 

• Provide on a separate piece of tracing, an analysis of the symmetry of the object, e. the axes of reflection and rotations of the object.

 

 

OR

 

 

2. Find examples from the real world (fabrics, textiles, pottery, etc.) to represent 3 of the 7 possible border-pattern symmetry types.

 

• You may find objects anywhere, except from pictures on the internet. For example: wallpaper borders, architectural friezes, ribbons, fabric/textiles, etc.

 

• A real life sample of your border patterns should be provided and each one analyzed to clearly show the symmetry types. (Find the “essence” of the pattern.) Photos from the internet are NOT

 

• The analysis should be done on a separate piece of A4 paper (trace paper is also fine) showing the symmetry type and the actual translations, along with any rotations, glide reflections, and reflections that are present, along with a classification of the border pattern..

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