Squaring The Circle
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This trick dates way back - easy to make and fun to do!
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Squaring the Circle
A little history:
This little gem has been around for years - the movie "The Time Travelers" used it as a special effect (The movie used many practical "Magic Tricks" rather than traditional special effects. In the film, the trick occurs during a cameo by legendary science fiction editor Forrest J Ackerman. He plays a technician who passes a circular metal ring through his hands, transforming it into a square—a classic magic illusion known as "Squaring the Circle"
This is a great STEM project, as it is easy & fast to make (everyone can take one home!). Squaring the Circle blends classical geometry, materials science, and metaphors of theoretical physics.
Mathematics & Classical Geometry (The Impossible Proof)
The "Squaring the Circle" Problem: The trick gets its name from an ancient mathematical puzzle. For over 2,000 years, geometers tried to use only a compass and a straightedge to construct a square with the exact same area as a given circle.
The Concept of Transcendental Numbers:
In 1882, mathematician Ferdinand von Lindemann proved that the mathematical constant is a transcendental number (meaning it cannot be the root of a non-zero polynomial equation with rational coefficients). Because cannot be algebraically constructed, "squaring the circle" was proven to be mathematically impossible. In magic and fiction, performing it symbolizes breaking the absolute laws of reality.
Materials Science & Engineering (The Secret) Mechanical Linkages:
The prop used by magicians is an engineering illusion rather than supernatural magic. It consists of four flexible metal strips or thin wires joined by tiny, hidden pivot rivets.
Let's get Printing
This is an easy print, with just (1) STL (just print it four (4) times)! There are two versions, One is approx 9.5" long, the other is approx 10.5" long - print either one!
The device is assembled using (4) M3-8mm screws and (4) M3 locknuts (you can use regular nuts, but they will probably get to loose, way to quick)! You may also assemble this with simple "paper fasteners". The screws should be fully tightened, then loosen them 1/2 turn.
Or, use standard paper fasteners!
Once assembled, the unit should look like this:
How to perform:
Hold the Square as shown, twist the sides and slowly pull your hands apart - it turns into a circle - do the reverse to change it back!
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