Editing 1230: Polar/Cartesian
Warning: You are not logged in. Your IP address will be publicly visible if you make any edits. If you log in or create an account, your edits will be attributed to your username, along with other benefits.
The edit can be undone.
Please check the comparison below to verify that this is what you want to do, and then save the changes below to finish undoing the edit.
Latest revision | Your text | ||
Line 8: | Line 8: | ||
==Explanation== | ==Explanation== | ||
− | This comic plays upon the difference between reading a {{w| | + | {{incomplete}} |
+ | This comic plays upon the difference between reading a {{w|Polar coordinate system|polar coordinate plot}} and the more common {{w|Cartesian coordinate system|cartesian coordinate plot}}, with its x and y axes. On a polar coordinate plot the distance from the zero point is the ''radius'' as the first value and the ''angle'' is the second, measured from one fixed axis. This fixed 0° axis should be the one which is labeled, the other ones do not need a label because it would be show the same radius. | ||
− | + | A ''function of time'' is just the red line. A single measurement would only be one point, but we see a line, following each point time by time. The direction of the time plot is shown by the arrow at the bottom of this plot. | |
− | + | At time zero when you first see it, the graph reads 50% as a polar or Cartesian graph. If you start to see it as Polar, you see the value of the radius increasing from 50% to 100% while the angle is turning by 90 degrees. If you start to see it as Cartesian, you see the line drop from 50% to 0%. The joke is that the whole graph is an exercise in confirmation bias: whichever type you assume is correct, that view will tend to be confirmed by reading it with that in mind. | |
− | + | The title text is a joke that if you have any two-axis (two-dimensional) graph, you can just re-label it and if you really have ants on your screen, they will act as data points. Ants do often follow a path when they've found a target. | |
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | The title text is a joke that if you | ||
==Transcript== | ==Transcript== | ||
− | + | :Certainty that this is a clockwise polar plot, not a cartesian one, as a function of time: | |
− | :Certainty that this is a clockwise polar plot, not a | + | :[The graph shows a red curve with an endpoint at 50% on the vertical axis and arcing down, ending with an arrow pointing at 0% at the 10th unit of the horizontal axis.] |
− | :[ | ||
{{comic discussion}} | {{comic discussion}} | ||
+ | [[Category:Math]] | ||
+ | [[Category:Charts]] | ||
[[Category:Comics with color]] | [[Category:Comics with color]] | ||
− | |||
− | |||
− | |||
− | |||
− |