Editing 2706: Bendy
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==Explanation== | ==Explanation== | ||
− | + | {{incomplete|Created while BENDING OVER PULLBACKWARDS - Please change this comment when editing this page. Do NOT delete this tag too soon.}} | |
− | + | The original triangle, without bendy lines, is an example of a {{w|Pythagorean triple}}. Randall 'simplifies' this by adding squiggles to the two sides in order to make them longer and therefore match the length of the hypotenuse (longest side). The idea is that this would allow one to arbitrarily define side lengths and therefore avoid doing calculations to figure them out, but in practice this is not possible in geometry as the sides will no longer be lines and the shape would be by definiton no longer a triangle. The way these calculations are used in real life also render this method unusable, as the point of the calculations Randall is trying to avoid is typically to determine the length of an already-existing side. The joke here is that Randall is trying to solve a geometric problem (that is actually already solved, in this case) with non-conventional methods unrelated to the problem's application. | |
− | The title-text talks about "{{w|Squaring the circle}}" | + | This comic may be a reference to axis breaks in graphs, which shrink large segments and enhance readability and are denoted by a wiggly line on the axis in question. |
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+ | The title-text talks about "{{w|Squaring the circle}}", a famous geometry problem based around constructing a square with the same area as a given circle with a compass and straightedge, which was proven to be impossible (even with more powerful forms of construction, such as marked straightedges or origami) in 1882 as pi is a transcendental number (Not to be confused with {{w|Tarski's circle-squaring problem|circle-squaring}}.) However, it then goes on to describe a way to literally turn one of these bendy shapes from a circle into a square, namely using clamps. | ||
==Transcript== | ==Transcript== | ||
− | :[There are two right triangles. | + | {{incomplete transcript|Do NOT delete this tag too soon.}} |
− | + | :[There are two right triangles. One triangle has side lengths of 3, 4, and 5, and is scribbled out in red. The other triangle has the same general shape but with the catheti appearing like longer but bent lines, so that all the side lengths equal 5 if straightened.] | |
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:[Caption below the panel:] | :[Caption below the panel:] | ||
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{{comic discussion}} | {{comic discussion}} | ||
+ | [[Category:Math]] | ||
[[Category:Comics with color]] | [[Category:Comics with color]] | ||
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