How Round Is Your Circle? This abstract math video shares a series of visual examples of how physical models are created from abstract mathematical ones. Theyβre from a book called How Round Is Your Circle?, written by John Bryant and Chris Sangwin.
Abstraction in mathematics is the process of extracting the underlying essence of a mathematical concept, removing any dependence on real world objects with which it might originally have been connected, and generalizing it so that it has wider applications or matching among other abstract descriptions of equivalent phenomena.
Video examples include: Sarrusβ mechanism, slotted ellipses, slotted disks, super egg, two-tip tetrahedron, Conway and Guyβs unistable polyhedron, solids of constant width, drilling a square hole, Dudeney’s Dissection, Chebyshev’s linkage, Peaucellier’s linkage, and Hartβs straight-line linkage and A-frame,
We liked watching all of these abstract math examples, butΒ Dudeney’s Dissection — cutting an equilateral triangle into pieces which can be rearranged into a square via well-placed hinges — is a favorite, as are solids of constant width, a gift from the team at Maths Gear.
Related: Straight line mechanism and more about abstract math.
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