Katgraham's Math Odyssey!
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Welcome to a rather 'sketchy' description of creating the ultimate Solomon's Seal.
The Rules:
Your Solomon's Seal project can be entered officially for the class competition in two categories:
- Super Small Solomon's Seal
- Sculptured Solomon's Seal
The submissions to the super small category will be judged based on their geometric characteristics. Remember that the seal is based on two equilateral triangles. Therefore the angle measures must be as close to 60 degrees as possible. The more exact your seal the better the score. the Solomon's Seal with the smallest area and most exact measurements will be the winner in this category.
The submissions to the Sculptured Seal Category will be judged on their geometric characteristics and their overall creativity and visual impact. In other words... How Cool are they???
All submissions must be turned in to Room 40 by December the 16th. The results will be announced at school on the last day of school prior to the long holiday vacation. Mrs. Graham will attempt to take digital pictures of the wining entries with their titles. Awards will be given to the students on Friday the 18th of December. Good luck to all students.
Instructions on How to Create a Solomon's Seal: (I am creating images for each of these steps. They will be posted as I complete them.)
The Solomon's Seal is based on the interweaving of two equilateral triangles. To create the equilateral triangles you will need to create a template.
- Using heavy posterboard or card stock, construct a circle using either a good compass or use your protractor to create the circle.
- Draw the diameter of the circle and mark the two endpoints as #1 and #4. These marks are at the zero degree and one hundred and eighty degree measures.
- Mark the points on the circle that correspond with the sixty, one hundred twenty, two hundred forty, and the three hundred degree positions. Label these points #2, #3, #5, and #6 respectively.
- Using your straight edge...connect #1 to #3 to #5 to #1. This will mark the outer boundaries of your first equilateral triangle.
- Using your straight edge...connect #2 to #4 to #6 to #2. This will mark the outer boundaries of your second equilateral triangle. You will now see the Solomon's Seal. However, we need to know the measured boundaries of the inner part of the seal.
- Connect points 2 and 5, and 3 and 6. (Note that 1 and 4 are already marked as your diameter.) Choose either the 2,4,6 or the 1,3,5 equilateral triangle. You will now see a new point of intersection on the inner section of either one of these triangles. Connect these new points to create the cutout section of the inside of the triangle.
You can now cut out your equilateral template. Note that you will need two of these to create the Solomon's Seal weaving. The following image was created by my current student, M. Agullo as an extra exploration into the topic. Thank you Mr. Agullo! (Image Copyright 1998)

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Created: 11-22-98