Submitted by Dearfield t3_1059jux in todayilearned
2ndOfficerCHL t1_j3avxzm wrote
Reply to comment by sckego in TIL Colorado is actually a hexahectaenneacontakaiheptagon, meaning it has 697 sides. by Dearfield
That's hair splitting. So human surveying errors caused Colorado to have a jagged border which appears straight from a distance. For practical purposes it can be drawn as a rectangle on maps, just like you don't need to account for the position of every grain of sand on the beach when measuring coasts.
jeremykelly1 t1_j3axqvh wrote
The jagged edge of Colorado is still measurable though. Changing the scale of measurement as is done in the coastline problem doesn’t change the outcome of the measurement of Colorado.
You don’t have to account for every grain of sand when measuring coasts, but what grains of sand do you account for? Answering that question differently amounts to different measurements. Colorado is not arbitrary in that regard. It’s just not 4 straight lines. It’s 697.
sckego t1_j3b04od wrote
If it could be drawn as a straight border, we wouldn’t be having this conversation—no one would care if it were off by a few feet one way or the other. It matters because it’s off by more than half a mile in places, and can’t be just hand-waved away as “straight enough”… which is the point of the article, that Colorado actually has 600whatever sides.
In measuring coastlines, there is no “straight enough.” It’s ALWAYS changing. You say you don’t need to account for every grain of sand. Fine, what about every large rock outcrop? Every small inlet? Every major bay? The length is 100% dependent on what measuring stick you use, and there is no right answer for which is the correct measuring stick.
LetsTryScience t1_j3dxcqx wrote
https://en.m.wikipedia.org/wiki/Koch_snowflake
This idea applies. Area approaches 8/5 of original triangle while perimeter approaches infinity.
This has also come up with the length of hiking trails. Several people hiked the PCT using rotating wheels to measure and even they came up with different lengths.
dandroid126 t1_j3b41jj wrote
Reddit LOVES splitting hairs. This whole thread is filled with people splitting thinner and thinner hairs.
starmartyr t1_j3bk953 wrote
It kind of depends on which maps. Along the borders, you really need to know where the state line is for things like zoning regulations and legal jurisdiction. In some cases, these jagged edges are half a mile wide.
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