- 28 Jan '18 02:42

An infinite number in fact!*Originally posted by @handyandy***Name a place on Earth's surface where you can travel one mile due south, then**

one mile due west, then one mile due north, and end up exactly where you started.

The traditional answer is the North Pole, but can you find at least one other spot? - 28 Jan '18 02:53

Perhaps, but I'll settle for one.*Originally posted by @wolfgang59***An infinite number in fact!**

(I hope this isn't another time zone fiasco.) - 28 Jan '18 09:28

Anywhere on a line of latitude 1 mile north of a line of latitude*Originally posted by @handyandy***Perhaps, but I'll settle for one.**

(I hope this isn't another time zone fiasco.)

which is 1 mile around the South pole. (Or half, or quarter or eighth ...) - 28 Jan '18 09:46

Bognor Regis.*Originally posted by @handyandy***Name a place on Earth's surface where you can travel one mile due south, then**

one mile due west, then one mile due north, and end up exactly where you started.

The traditional answer is the North Pole, but can you find at least one other spot?

(There's no known escape from Bognor Regis). - 28 Jan '18 18:24

Correct! That second line of latitude, one mile around the South Pole: How far is it from the pole?*Originally posted by @wolfgang59***Anywhere on a line of latitude 1 mile north of a line of latitude**

which is 1 mile around the South pole. (Or half, or quarter or eighth ...) - 28 Jan '18 21:28 / 2 edits

If you began traveling due south at a point*Originally posted by @handyandy***Correct! That second line of latitude, one mile around the South Pole: How far is it from the pole?***less*than one mile from the south pole, wouldn't you at some point (along that line) be traveling north before traveling west?

edit: okay, I get it now. After traveling due south for one mile you arrive at a point where, after traveling west and completing a full circle, the length of that circle will equal one mile. - 29 Jan '18 04:02 / 1 edit

Do you mean what latitude? If so, then its latitude*Originally posted by @handyandy***Correct! That second line of latitude, one mile around the South Pole: How far is it from the pole?**

(90 - 1/R*180 / π ) or approximately 89.986 degrees. - 29 Jan '18 04:13 / 1 edit

"edit: okay, I get it now. After traveling due south for one mile you arrive at a point where, after traveling west and completing a full circle, the length of that circle will equal one mile."*Originally posted by @lemon-lime***If you began traveling due south at a point***less*than one mile from the south pole, wouldn't you at some point (along that line) be traveling north before traveling west?

edit: okay, I get it now. After traveling due south for one mile you arrive at a point where, after traveling west and completing a full circle, the length of that circle will equal one mile.

No, what your saying is impossible on Earth (but you probably wouldn't know that without doing the math).

All the longitudinal great circles intersect at the pole. From the pole you travel South 1 mile. Then you may travel ANY distance you like due West. Then travel 1 mile due North and you will be back at the pole due to the intersection of the great circles. - 29 Jan '18 05:19 / 3 edits

How are you able to travel south from the South Pole?*Originally posted by @joe-shmo***"edit: okay, I get it now. After traveling due south for one mile you arrive at a point where, after traveling west and completing a full circle, the length of that circle will equal one mile."**

No, what your saying is impossible on Earth (but you probably wouldn't know that without doing the math).

All the longitudinal great circles intersect at the ...[text shortened]... 1 mile due North and you will be back at the pole due to the intersection of the great circles.

The question in the OP is where else (other than the North Pole) can you travel south for one mile, then west for one mile, then north one mile and end up where you started. If you find a latitudinal line near the south pole exactly one mile long, bringing you back to where you started your westward journey, then travel one mile north from that point, then any point along that slightly higher latitudinal line can be your starting point. - 29 Jan '18 06:30
*Originally posted by @handyandy***Correct! That second line of latitude, one mile around the South Pole: How far is it from the pole?****That second line of latitude, one mile around the South Pole: How far is it from the pole?**

A stones throw... - 29 Jan '18 16:17

?*Originally posted by @joe-shmo***"edit: okay, I get it now. After traveling due south for one mile you arrive at a point where, after traveling west and completing a full circle, the length of that circle will equal one mile."**

No, what your saying is impossible on Earth (but you probably wouldn't know that without doing the math).

What makes you think that? - 29 Jan '18 17:15

Imagine a circle that is centered at the South Pole with a circumference of exactly one mile.*Originally posted by @wolfgang59***Anywhere on a line of latitude 1 mile north of a line of latitude**

which is 1 mile around the South pole. (Or half, or quarter or eighth ...)

The edge of this circle would be about 0.159 miles (roughly 280 yards) from the pole. Any

point one mile north of this circle (approximately 1.159 miles north of the pole) will satisfy

the conditions of the puzzle. - 29 Jan '18 18:46 / 2 edits

My mistake.*Originally posted by @wolfgang59***?**

What makes you think that?

Until I saw the post from Handy Andy I was actually missing the solution. So just applying it to starting at the north pole solution. Walking a mile due south, and saying it would not be possible to complete a*full*circle due west that was 1 mile on the Earth beginning at a pole.

"Imagine a circle that is centered at the South Pole with a circumference of exactly one mile. The edge of this circle would be about 0.159 miles (roughly 280 yards) from the pole. Any point one mile north of this circle (approximately 1.159 miles north of the pole) will satisfy the conditions of the puzzle."

Again, my misunderstanding.Sorry