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The Fibonacci Sequence Through a Different Lens
While Fibonacci numbers have been the subject of numerous works over hundreds of years, the sequence presents still more opportunities for discovery. This paper introduces a new way of perceiving this well established ...
Special Triangles: Going Beyond 30 – 60 – 90 and 45 – 45 – 90
Starting with the standard special triangles, the 30 – 60 – 90 and the 45 – 45 – 90, we discovered other special triangles. A special triangle is one that has angle values and side lengths that can be expressed exactly. ...
Rolling Cups and Geometry
We analyze the circular trajectory of a cup placed on its side and rolled. Using measurable components of the cup such as the radii and height we find the equation of the circle traced by the cup.