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Maths Fed Square
Transcript of Maths Fed Square
Red = 1
Green = x - 1 With the Golden Rectangle you have measurements of x * 1, you want to get a square out of x * 1, To do that you put a 1 through the rectangle to get a square ( 1 squared) this leaves you a little rectangle (1 * (x - 1)). We want to keep the ratio the same, so you get; (x : 1 = 1 : x - 1) The ratio keeps going. the number summed up is phi / = Figure 2.0: The shape of a "super triangle" (golden triangle compilation) when completed. Created on GeoGebra Creating a Super Triangle Step 1 Figure 2.3: Single Golden Triangle
Total Length: 5 units
Total Height: 2 units Creating a Super Triangle Step 2 Figure 2.1: Initial Triangle
Base length - 2 units
Height - 1 unit Angles: 90°, 60°, 30° Figure 2.2: The "initial triangle" is a Golden Triangle in itself! Creating a Super Triangle Step 5 Creating a Super Triangle Step 3 Creating a Super Triangle Step 4 Figure 2.4: Rotation Figure 2.5: Rotation Figure 2.6: Rotation Creating a Super Triangle Step 6 Figure 2.7: Rotation The Super Triangle A compilation of infinitive Golden Triangles Yet with no rotational symmetry... Figure 2.9: The "pinwheel" process Figure 2.0: A Super Triangle or a Super Super triangle. There is no definitive way of knowing exactly what it is called. Rotational Symmetry This is the result of the triangle being rotated around the point A 16 times.
360 divided by 30 = 12 Right Angled triangle with angles 30 and 60 Rotational Symmetry This is the result of the triangle
being rotated around the middle point 4 times. 360 divided by 90 is 4. Rotational Symmetry This is the result of the triangle being rotated around the point C 6 times, 360 divided by 60= 6 http://www.qedcat.com/archive/129.html
Resources: GeoGebra, Prezi