1230: Polar/Cartesian - Revision history

162.158.186.170: /* Explanation */ Mentioned confirmation bias

2025-05-15T21:38:36Z

‎Explanation: Mentioned confirmation bias

LostXOR: Forgot to make sure Cartesian was capitalized everywhere in my previous edit.

2023-04-07T17:23:50Z

Forgot to make sure Cartesian was capitalized everywhere in my previous edit.

LostXOR: Uncapitalized "Polar" since it's not supposed to be capitalized, unlike "Cartesian".

2023-04-07T17:22:07Z

Uncapitalized "Polar" since it's not supposed to be capitalized, unlike "Cartesian".

Natg19: /* Transcript */ title text

2022-10-11T02:11:05Z

‎Transcript: title text

Vandalbane: Undo revision 284529 by Bane, bane, vandalbane! (talk)

2022-05-30T01:19:00Z

Undo revision 284529 by Bane, bane, vandalbane! (talk)

Bane, bane, vandalbane! at 01:18, 30 May 2022

2022-05-30T01:18:07Z

Theusaf: Reverted edits by Donald Trump (talk) to last revision by CRLF

2022-05-26T20:02:28Z

Reverted edits by Donald Trump (talk) to last revision by CRLF

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Donald Trump: Reverted edit by anti-crap user

2022-05-26T18:52:05Z

Reverted edit by anti-crap user

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2022-05-26T18:05:25Z

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2022-05-26T16:49:41Z

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@@ Line 10: / Line 10: @@
 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}}.
-The graph purports to show the certainty in the viewers mind that it is a clockwise polar plot, as a function of time.
+The graph purports to show the certainty in the viewers mind that it is a clockwise polar plot, as a function of time, thus simulating {{w|confirmation bias}}.
 If seen as a Cartesian plot, the y (vertical) axis represents 'certainty' while the x (horizontal) axis represents 'time'. Each point on the plot is represented by two coordinates, the x-value and the y-value. As time increases, we move to the right and see the initial certainty of 50% decreases gradually to zero. That is, after a certain amount of time, we are certain that it is NOT a polar plot.

@@ Line 8: / Line 8: @@
 ==Explanation==
-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}}.
+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}}.
 The graph purports to show the certainty in the viewers mind that it is a clockwise polar plot, as a function of time.
@@ Line 18: / Line 18: @@
 The intended joke seems to be that the graph is an exercise in confirmation bias. Whichever type you initially hypothesize is correct, that view will be confirmed by investigation. This is because the two different views are both correct - the graph can equally be considered a Cartesian or polar plot. This is somewhat counter-intuitive.
-Throughout the graph, the sum of the two probabilities is 100%, i.e. (polar-observer's certainty that the graph is polar) + (cartesian-observer's certainty that the graph is polar) = 100%. The shape of the graph appears to be (in clockwise polar form) r(t)=100/(1+cos(t)).
+Throughout the graph, the sum of the two probabilities is 100%, i.e. (polar-observer's certainty that the graph is polar) + (Cartesian-observer's certainty that the graph is polar) = 100%. The shape of the graph appears to be (in clockwise polar form) r(t)=100/(1+cos(t)).
 If the reader is open-minded, they would never reach certainty (0% / 100% depending on how you read the graph) because there isn't enough information to clearly decide either way.

@@ Line 8: / Line 8: @@
 ==Explanation==
-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}}.
+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}}.
 The graph purports to show the certainty in the viewers mind that it is a clockwise polar plot, as a function of time.
-If seen as a Cartesian plot, the y (vertical) axis represents 'certainty' while the x (horizontal) axis represents 'time'. Each point on the plot is represented by two coordinates, the x-value and the y-value. As time increases, we move to the right and see the initial certainty of 50% decreases gradually to zero. That is, after a certain amount of time, we are certain that it is NOT a Polar plot.
+If seen as a Cartesian plot, the y (vertical) axis represents 'certainty' while the x (horizontal) axis represents 'time'. Each point on the plot is represented by two coordinates, the x-value and the y-value. As time increases, we move to the right and see the initial certainty of 50% decreases gradually to zero. That is, after a certain amount of time, we are certain that it is NOT a polar plot.
-In a Polar plot, each point on the plot is also located by two values, but in this case they are the radius (the distance from the origin) and the angle between the radius and an arbitrary starting line.  Here, the radius represents 'certainty' and the angle to the vertical represents 'time'. In this view, we see that as time increases (as we move clockwise around the plot) the initial certainty (the same 50%) now ''increases'' to a final value of 100%. That is, after a certain amount of time, we are certain that it IS a Polar plot.
+In a polar plot, each point on the plot is also located by two values, but in this case they are the radius (the distance from the origin) and the angle between the radius and an arbitrary starting line.  Here, the radius represents 'certainty' and the angle to the vertical represents 'time'. In this view, we see that as time increases (as we move clockwise around the plot) the initial certainty (the same 50%) now ''increases'' to a final value of 100%. That is, after a certain amount of time, we are certain that it IS a polar plot.
-The intended joke seems to be that the graph is an exercise in confirmation bias. Whichever type you initially hypothesize is correct, that view will be confirmed by investigation. This is because the two different views are both correct - the graph can equally be considered a Cartesian or Polar plot. This is somewhat counter-intuitive.
+The intended joke seems to be that the graph is an exercise in confirmation bias. Whichever type you initially hypothesize is correct, that view will be confirmed by investigation. This is because the two different views are both correct - the graph can equally be considered a Cartesian or polar plot. This is somewhat counter-intuitive.
 Throughout the graph, the sum of the two probabilities is 100%, i.e. (polar-observer's certainty that the graph is polar) + (cartesian-observer's certainty that the graph is polar) = 100%. The shape of the graph appears to be (in clockwise polar form) r(t)=100/(1+cos(t)).

← Older revision		Revision as of 02:11, 11 October 2022
Line 35:		Line 35:
	[[Category:Protip]]		[[Category:Protip]]
	[[Category:Self-reference]]		[[Category:Self-reference]]
		+	[[Category:Ants]]

@@ Line 2: / Line 2: @@
 | number    = 1230
 | date      = June 26, 2013
-| title     = Will/Allen
+| title     = Polar/Cartesian
-| image     = Will Allen holding fish.jpg
+| image     = polar_cartesian.png
 | titletext = Protip: Any two-axis graph can be re-labeled 'coordinates of the ants crawling across my screen as a function of time'.
 }}