Main Page
Welcome to the explain xkcd wiki!
We have an explanation for all 2706 xkcd comics,
and only 28
(1%) are incomplete. Help us finish them!
Latest comic
| Bendy |
 Title text: Squaring the circle is really easy with some good clamps. |
Explanation
|
This explanation may be incomplete or incorrect: Created while BENDING OVER PULLBACKWARDS - Please change this comment when editing this page. Do NOT delete this tag too soon. |
Geometry usually represents 2D polygons with simple straight lines. In the comic, the lines are compared to a physical object, and are shown to have the property of bendiness. Randall claims this simplifies geometry as now triangles can have arbitrarily defined side lengths by merely stretching the lines, but it is unclear what benefits this may have over current Euclidean geometry. These lines cannot have Euclidean properties, but other non-Euclidean systems have been invented in the past with non-standard properties.[1]
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.
The title-text talks about "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 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
- [There are two right triangles. The one to the left is a standard right triangle with the right angle denoted by a small square at that corner. The lengths of the sides are denoted around it, but it has been scribbled out with red lines. The triangle to the right has the same general shape as the first one, but with the legs appearing longer but bent lines with about three wiggles each near the right-angled corner. As with the first triangle, the side lengths are denoted around it, but they are not the same as for the first. Around this triangle is a red line circling about two times around it.]
- Left triangle: 3 4 5
- Right triangle: 5 5 5
- [Caption below the panel:]
- Huge geometry breakthrough: Turns out those lines we make triangles out of are bendy!
Is this out of date? .
New here?
Last 7 days (Top 10) |
|||||||||||||||||||||||||||||||||||||||||||||||||||||||
|
You can read a brief introduction about this wiki at explain xkcd. Feel free to sign up for an account and contribute to the wiki! We need explanations for comics, characters, themes and everything in between. If it is referenced in an xkcd web comic, it should be here.
- If you're new to wiki editing, see the explain xkcd:Editor FAQ for a specific guidance to this Wiki and the more general help on how to edit wiki pages. There's also a handy wikicode cheatsheet.
- Discussion about the wiki itself happens at the Community portal.
- You can browse the comics from List of all comics or by navigating the category tree at Category:Comics.
- There are incomplete explanations listed here. Feel free to help out by expanding them!
Rules
Don't be a jerk.
There are a lot of comics that don't have set-in-stone explanations; feel free to put multiple interpretations in the wiki page for each comic.
If you want to talk about a specific comic, use its discussion page.
Please only submit material directly related to (and helping everyone better understand) xkcd... and of course only submit material that can legally be posted (and freely edited). Off-topic or other inappropriate content is subject to removal or modification at admin discretion, and users who repeatedly post such content will be blocked.
If you need assistance from an admin, post a message to the Admin requests board.
