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The golden Triangle is what all 5 sided figures are built up from. Like the equilateral triangle and the square, this is a standard tile tool which can be used to rapidly construct many geometric things, including a lot of three dimensional stuff documented elsewhere on this site. The short side of the triangle is 3 inches, and the other two sides are both 3 inches times the "golden ratio" phi.

Step 1: Trace SquareC1

Trace the 3 inch square tile, and use a pen to mark where all the half way points are around it. This tile is constructed in another Instructable about "squareC1", and also on Pinterest at www.pinterest.com/Lafelabs/squareC1

Step 2: Swing Arcs From Midpoints to Lines, Making Phi

Now put the center of the compass at the midpoints along the "bottom" and "top" of the square relative to your paper, and swing arcs up and down as needed to cross a line drawn from the top and bottom sides of the square out across the page another few inches. You have now constructed the "golden ratio", at least as a factor of 3 inches.

Step 3: Make Legs

Place the compass center at opposite corners from the direction of the previous step, span it out to the full distance of phi times 3 inches, and swing the two arcs to meet in the middle, making the opposite point of the 5 pointed star from the two base points.

Step 4: Color It All In

Crayons or colored pencils, clear and simple colors to make it easy to see, and write on with a pen where to find this instruction set and whatever other data and or branding you want, cut out, and laminate with tape or make onto cardboard tile as in triangleC1 and squareC1

About This Instructable

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Bio: I'm an applied physicist by training(phd Yale 2006, BA Berkeley 1998, math and physics), and have done physics research in the federal government ... More »
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