Difference between revisions of "Talk:2431: Leap Year 2021"

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If someone actually did this, how many years would it take for the calendar to line back up again where it started? 365? [[User:Captain Video|Captain Video]] ([[User talk:Captain Video|talk]]) 02:20, 2 March 2021 (UTC)
 
If someone actually did this, how many years would it take for the calendar to line back up again where it started? 365? [[User:Captain Video|Captain Video]] ([[User talk:Captain Video|talk]]) 02:20, 2 March 2021 (UTC)
 
: 365 years plus (around) 33% more because every fourth year (except every hundredth, except except every 400th) is already ''expected'' to have a 29th, so you'd not be able to shift the year that year and have to do those days after the first 365 mostly-shifted consecutive years - with the necessary overflow days ''still'' being only to be done for 3/4(ish) of the next 91ish years, leaving maybe 23 more years to be shifted. But 24 years would only allow 18 shifts, so 6 more years than that ''probably'' would use 5 years. And one year may be absorbed already, or left over. So 365+91+23+6. Ish. Because it'd depend exactly which year you start as to which non-expandable years occur within the strict (0.75)+(0.25*0.75)+(0.25*0.25*0.75)+... series. But that's the likely area of the answer, off the top of my head. Around 485 years, give or take. Unless I've made a big error! [[Special:Contributions/141.101.98.244|141.101.98.244]] 03:02, 2 March 2021 (UTC)
 
: 365 years plus (around) 33% more because every fourth year (except every hundredth, except except every 400th) is already ''expected'' to have a 29th, so you'd not be able to shift the year that year and have to do those days after the first 365 mostly-shifted consecutive years - with the necessary overflow days ''still'' being only to be done for 3/4(ish) of the next 91ish years, leaving maybe 23 more years to be shifted. But 24 years would only allow 18 shifts, so 6 more years than that ''probably'' would use 5 years. And one year may be absorbed already, or left over. So 365+91+23+6. Ish. Because it'd depend exactly which year you start as to which non-expandable years occur within the strict (0.75)+(0.25*0.75)+(0.25*0.25*0.75)+... series. But that's the likely area of the answer, off the top of my head. Around 485 years, give or take. Unless I've made a big error! [[Special:Contributions/141.101.98.244|141.101.98.244]] 03:02, 2 March 2021 (UTC)
 +
::A quick evaluation of the geometric progression (a/1-r = 365/(1-1/4)) gives an answer of 486.666... This means it would take at least 487 years to come past full circle (488 on a leap year) if not for the pesky 400-year rule. Given where the date lies, there can be either one or two per cycle; thus, we find a minimum of 488 years and a maximum of 490. If we started this current year, on a non-leap year with no round 400 in the next 87 years, it would take the minimum amount, 488 years, to cycle through 489 revolutions of the Earth around the Sun. Happy Leap Year, my friends! [[User:BlackHat|BlackHat]] ([[User talk:BlackHat|talk]]) 03:52, 2 March 2021 (UTC)
  
 
Can someone make a [[:Category:Calendar]] that is a subcategory of [[:Category:Time]]? I feel like there are several comics that could fit, e.g. [[994: Advent Calendar]], [[1140: Calendar of Meaningful Dates]], [[1930: Calendar Facts]], [[1073: Weekend]], [[1061: EST]], etc. [[Special:Contributions/162.158.255.210|162.158.255.210]] 02:39, 2 March 2021 (UTC)
 
Can someone make a [[:Category:Calendar]] that is a subcategory of [[:Category:Time]]? I feel like there are several comics that could fit, e.g. [[994: Advent Calendar]], [[1140: Calendar of Meaningful Dates]], [[1930: Calendar Facts]], [[1073: Weekend]], [[1061: EST]], etc. [[Special:Contributions/162.158.255.210|162.158.255.210]] 02:39, 2 March 2021 (UTC)

Revision as of 03:52, 2 March 2021


It's amazing how quickly some of us got to edit this. I hope I didn't cause too much edit-conflict confusion just by my changing the date value. Honestly just checked, before turning in, to find two (so far) other edits follow so quickly after... 141.101.98.152 02:03, 2 March 2021 (UTC)

Sorry,I did not see anything when I started

I wouldn't expect you to (the first Categories adder, yes?), until you perhaps tried to save. But that's what being shown edit-conflicts is important for. 141.101.98.244 03:02, 2 March 2021 (UTC)

If someone actually did this, how many years would it take for the calendar to line back up again where it started? 365? Captain Video (talk) 02:20, 2 March 2021 (UTC)

365 years plus (around) 33% more because every fourth year (except every hundredth, except except every 400th) is already expected to have a 29th, so you'd not be able to shift the year that year and have to do those days after the first 365 mostly-shifted consecutive years - with the necessary overflow days still being only to be done for 3/4(ish) of the next 91ish years, leaving maybe 23 more years to be shifted. But 24 years would only allow 18 shifts, so 6 more years than that probably would use 5 years. And one year may be absorbed already, or left over. So 365+91+23+6. Ish. Because it'd depend exactly which year you start as to which non-expandable years occur within the strict (0.75)+(0.25*0.75)+(0.25*0.25*0.75)+... series. But that's the likely area of the answer, off the top of my head. Around 485 years, give or take. Unless I've made a big error! 141.101.98.244 03:02, 2 March 2021 (UTC)
A quick evaluation of the geometric progression (a/1-r = 365/(1-1/4)) gives an answer of 486.666... This means it would take at least 487 years to come past full circle (488 on a leap year) if not for the pesky 400-year rule. Given where the date lies, there can be either one or two per cycle; thus, we find a minimum of 488 years and a maximum of 490. If we started this current year, on a non-leap year with no round 400 in the next 87 years, it would take the minimum amount, 488 years, to cycle through 489 revolutions of the Earth around the Sun. Happy Leap Year, my friends! BlackHat (talk) 03:52, 2 March 2021 (UTC)

Can someone make a Category:Calendar that is a subcategory of Category:Time? I feel like there are several comics that could fit, e.g. 994: Advent Calendar, 1140: Calendar of Meaningful Dates, 1930: Calendar Facts, 1073: Weekend, 1061: EST, etc. 162.158.255.210 02:39, 2 March 2021 (UTC)