Talk:2821: Path Minimization - Revision history

Unbroken: Alternative interpretation for the path that maximizes time

2024-01-10T13:13:46Z

Alternative interpretation for the path that maximizes time

162.158.158.106 at 15:45, 1 September 2023

2023-09-01T15:45:29Z

172.68.119.149 at 02:35, 1 September 2023

2023-09-01T02:35:21Z

172.71.114.70 at 14:48, 31 August 2023

2023-08-31T14:48:02Z

172.68.150.83 at 22:34, 30 August 2023

2023-08-30T22:34:46Z

Kev at 22:11, 30 August 2023

2023-08-30T22:11:09Z

ProphetZarquon: Signed

2023-08-30T16:58:51Z

Signed

ProphetZarquon: Signed

2023-08-30T16:57:52Z

Signed

172.68.2.93: All (my) paths lead to ice cream

2023-08-30T16:56:20Z

All (my) paths lead to ice cream

172.68.2.93: Aw, it's a reru- ICE CREAM MAN!

2023-08-30T16:51:46Z

Aw, it's a reru- ICE CREAM MAN!

← Older revision		Revision as of 13:13, 10 January 2024
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	Is there a reference to the discredited but still believed by some "No eating before swimming" rule? By this measure "Here's an ice cream, go swimming" '''is''' monstrous in the same sense as "go play in traffic."[[Special:Contributions/162.158.158.106\|162.158.158.106]] 15:45, 1 September 2023 (UTC)		Is there a reference to the discredited but still believed by some "No eating before swimming" rule? By this measure "Here's an ice cream, go swimming" '''is''' monstrous in the same sense as "go play in traffic."[[Special:Contributions/162.158.158.106\|162.158.158.106]] 15:45, 1 September 2023 (UTC)
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		+	I think the arrow for the last path may be interpreted as pointing up and away from Earth. This refers to the fact that in a curved spacetime if the universe has a spherical geometry it's possible to traverse the entire universe and come back to the starting point from below. This really maximizes time (and distance) while still moving in a straight line. --[[User:Unbroken\|Unbroken]] ([[User talk:Unbroken\|talk]]) 13:13, 10 January 2024 (UTC)

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 When I first saw the comic, I thought cueball was suspended on a tether in the air above the water, and the ice cream stand was floating. I didn't realize it was a beach until I read this explanation. [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 04:41, 29 August 2023 (UTC)
 :Me too!  Instead of a tether I thought cueball was free falling into the water with a desire to get to the end state (the swimmer), and the ice cream stand was free falling as well.[[User:V-squared|V-squared]] ([[User talk:V-squared|talk]]) 01:44, 30 August 2023 (UTC)
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 You can pessimize time a tiny bit more by angling the path exactly 180° away from the bearing from Cueball to the guy in the ocean, assuming Cueball may only move in a straight line. [[Special:Contributions/172.68.119.149|172.68.119.149]] 02:35, 1 September 2023 (UTC)

← Older revision		Revision as of 02:35, 1 September 2023
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	I suppose the angles here could be used to find the ratio of Cueball's walk speed vs swim speed? Though perhaps it ends up being a function of how long the lengths are. I've been away from math too long, I guess. --[[Special:Contributions/172.68.150.83\|172.68.150.83]] 22:34, 30 August 2023 (UTC)		I suppose the angles here could be used to find the ratio of Cueball's walk speed vs swim speed? Though perhaps it ends up being a function of how long the lengths are. I've been away from math too long, I guess. --[[Special:Contributions/172.68.150.83\|172.68.150.83]] 22:34, 30 August 2023 (UTC)
	: Incidence angle is 61.4° while refraction angle is 21.2°, which gives a speed ratio of 2.4 --[[Special:Contributions/172.71.114.70\|172.71.114.70]] 14:48, 31 August 2023 (UTC)		: Incidence angle is 61.4° while refraction angle is 21.2°, which gives a speed ratio of 2.4 --[[Special:Contributions/172.71.114.70\|172.71.114.70]] 14:48, 31 August 2023 (UTC)
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		+	You can pessimize time a tiny bit more by angling the path exactly 180° away from the bearing from Cueball to the guy in the ocean, assuming Cueball may only move in a straight line. [[Special:Contributions/172.68.119.149\|172.68.119.149]] 02:35, 1 September 2023 (UTC)

← Older revision		Revision as of 14:48, 31 August 2023
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	I suppose the angles here could be used to find the ratio of Cueball's walk speed vs swim speed? Though perhaps it ends up being a function of how long the lengths are. I've been away from math too long, I guess. --[[Special:Contributions/172.68.150.83\|172.68.150.83]] 22:34, 30 August 2023 (UTC)		I suppose the angles here could be used to find the ratio of Cueball's walk speed vs swim speed? Though perhaps it ends up being a function of how long the lengths are. I've been away from math too long, I guess. --[[Special:Contributions/172.68.150.83\|172.68.150.83]] 22:34, 30 August 2023 (UTC)
		+	: Incidence angle is 61.4° while refraction angle is 21.2°, which gives a speed ratio of 2.4 --[[Special:Contributions/172.71.114.70\|172.71.114.70]] 14:48, 31 August 2023 (UTC)

← Older revision		Revision as of 22:34, 30 August 2023
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	I hope the swimmer beats Cueball to the Ice Cream vendor to get the last ice cream. If only there was a mathematical process to work out who would get there first? [[User:Kev\|Kev]] ([[User talk:Kev\|talk]]) 22:11, 30 August 2023 (UTC)		I hope the swimmer beats Cueball to the Ice Cream vendor to get the last ice cream. If only there was a mathematical process to work out who would get there first? [[User:Kev\|Kev]] ([[User talk:Kev\|talk]]) 22:11, 30 August 2023 (UTC)
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		+	I suppose the angles here could be used to find the ratio of Cueball's walk speed vs swim speed? Though perhaps it ends up being a function of how long the lengths are. I've been away from math too long, I guess. --[[Special:Contributions/172.68.150.83\|172.68.150.83]] 22:34, 30 August 2023 (UTC)

← Older revision		Revision as of 22:11, 30 August 2023
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	In my case, every path I take is chosen to minimize the time until I get ice cream. I've got ice cream right now, so I feel like I could go anywhere! [[User:ProphetZarquon\|ProphetZarquon]] ([[User talk:ProphetZarquon\|talk]]) 16:58, 30 August 2023 (UTC)		In my case, every path I take is chosen to minimize the time until I get ice cream. I've got ice cream right now, so I feel like I could go anywhere! [[User:ProphetZarquon\|ProphetZarquon]] ([[User talk:ProphetZarquon\|talk]]) 16:58, 30 August 2023 (UTC)
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		+	I hope the swimmer beats Cueball to the Ice Cream vendor to get the last ice cream. If only there was a mathematical process to work out who would get there first? [[User:Kev\|Kev]] ([[User talk:Kev\|talk]]) 22:11, 30 August 2023 (UTC)

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 Reminds me of https://xkcd.com/85/ [[User:Betamaj|Betamaj]] ([[User talk:Betamaj|talk]]) 12:06, 29 August 2023 (UTC)
 :One of the first comments there mentions trying to reach a drowning swimmer. [[User:Barmar|Barmar]] ([[User talk:Barmar|talk]]) 14:14, 29 August 2023 (UTC)
-:I was going to complain about reruns, but the addition of ice-cream has sweetened the deal. [[User:ProphetZarquon|ProphetZarquon]] ([[User talk:ProphetZarquon|talk]]) 16:57, 30 August 2023 (UTC)
+:I was going to complain about reruns, but the addition of ice-cream has sweetened the deal. [[User:ProphetZarquon|ProphetZarquon]] ([[User talk:ProphetZarquon|talk]]) 16:51, 30 August 2023 (UTC)
 I don't know if I agree with the Beach Vendor paragraph. There's only one vendor, and there's no reason for an ice cream stand on a beach to be a reference to the problem. (Ice cream stands on beaches are pretty common, at least near I live.) [[User:DownGoer|DownGoer]] ([[User talk:DownGoer|talk]]) 12:50, 29 August 2023 (UTC)
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 Actually, there is no real path that maximizes time; you can always increase time by taking another detour. --[[Special:Contributions/172.70.246.119|172.70.246.119]] 06:36, 30 August 2023 (UTC)
-In my case, every path I take is chosen to minimize the time until I get ice cream. I've got ice cream right now, so I feel like I could go anywhere! [[Special:Contributions/172.68.2.93|172.68.2.93]] 16:56, 30 August 2023 (UTC)
+In my case, every path I take is chosen to minimize the time until I get ice cream. I've got ice cream right now, so I feel like I could go anywhere! [[User:ProphetZarquon|ProphetZarquon]] ([[User talk:ProphetZarquon|talk]]) 16:58, 30 August 2023 (UTC)

← Older revision		Revision as of 16:56, 30 August 2023
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	Actually, there is no real path that maximizes time; you can always increase time by taking another detour. --[[Special:Contributions/172.70.246.119\|172.70.246.119]] 06:36, 30 August 2023 (UTC)		Actually, there is no real path that maximizes time; you can always increase time by taking another detour. --[[Special:Contributions/172.70.246.119\|172.70.246.119]] 06:36, 30 August 2023 (UTC)
		+
		+	In my case, every path I take is chosen to minimize the time until I get ice cream. I've got ice cream right now, so I feel like I could go anywhere! [[Special:Contributions/172.68.2.93\|172.68.2.93]] 16:56, 30 August 2023 (UTC)