Where on Earth is Rockford???
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Where on Earth is Rockford???
G'day All
An oldie but a goodie...
Situation:
Rockford takes 2 steps South, 4 steps East, 2 steps North and is back exactly where he began.
Question:
Where on Earth is Rockford???
An oldie but a goodie...
Situation:
Rockford takes 2 steps South, 4 steps East, 2 steps North and is back exactly where he began.
Question:
Where on Earth is Rockford???
Re: Where on Earth is Rockford???
I would say, the north pole, even if you replace "4 steps East" by "x steps East"...johnomg wrote:Where on Earth is Rockford???
But suppose that Rockford is at the north or south pole, and someone says "walk 4 steps East", what should he do??
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Re: Where on Earth is Rockford???
Get crushed by a boulder to end the confusion?Arno wrote:what should he do??
Boulders are round.
Fireflies are square.
I need to find
a'way out of here.
Fireflies are square.
I need to find
a'way out of here.
Re: Where on Earth is Rockford???
CorrectArno wrote:I would say, the north pole
For those who wonder why:
Rockford is standing "on" the North Pole, 2 steps in any direction is South, going East (or West) takes him in a circle around the North Pole, then 2 steps North puts him back on the North Pole (where he started).
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Regards
John
Re: Where on Earth is Rockford???
Man....That's a tough one.Arno wrote:But suppose that Rockford is at the north or south pole, and someone says "walk 4 steps East", what should he do??
Walk sideways like a Crab on the spot???
Re: Where on Earth is Rockford???
Spin around!johnomg wrote:Man....That's a tough one.Arno wrote:But suppose that Rockford is at the north or south pole, and someone says "walk 4 steps East", what should he do??
Walk sideways like a Crab on the spot???
Watcher Kitty is always watching...
Re: Where on Earth is Rockford???
That was going to be my first answer but I figured Arno wouldn't class Spinning as a type of WalkSendy wrote:Spin around!
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Re: Where on Earth is Rockford???
By the way - if you consider this situation, starting at north pole:
1. Rockford makes a triangle (3 adjacent lines, ending up where he started);
2. the adjacent lines make right angles (90 degrees).
Now we have constructed a triangle for which the sum of the angles is not 180 degrees (indeed, the sum is 3*90=270 degrees).
we know that:Rockford walks South until the equator, walks East over 1/4 of the equator, and walks back North.
1. Rockford makes a triangle (3 adjacent lines, ending up where he started);
2. the adjacent lines make right angles (90 degrees).
Now we have constructed a triangle for which the sum of the angles is not 180 degrees (indeed, the sum is 3*90=270 degrees).
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Re: Where on Earth is Rockford???
A Square Triangle???Arno wrote:By the way - if you consider this situation, starting at north pole:we know that:Rockford walks South until the equator, walks East over 1/4 of the equator, and walks back North.
1. Rockford makes a triangle (3 adjacent lines, ending up where he started);
2. the adjacent lines make right angles (90 degrees).
Now we have constructed a triangle for which the sum of the angles is not 180 degrees (indeed, the sum is 3*90=270 degrees).
No wonder I'm stuck on CrDr02 Cave 19
Fun! I gave this puzzle to a forum of a math page (janko.at, german) and there another solution was found! (More exactly, infinite solutions!)
Rockford may also be on the southern hemisphere, close to the south pole. More exactly, he may stand 2 steps over the degree of latitude which has a circumference of exactly four steps (or even a whole-number part of four steps). Then he walks two steps south, onto said latitude, four steps east on a precise circle, and two steps north to his starting point again! Funny, innit?
Rockford may also be on the southern hemisphere, close to the south pole. More exactly, he may stand 2 steps over the degree of latitude which has a circumference of exactly four steps (or even a whole-number part of four steps). Then he walks two steps south, onto said latitude, four steps east on a precise circle, and two steps north to his starting point again! Funny, innit?
Boulder Dash X Rock, Paper, Scissors:
ROCKFORD collects DIAMOND, digs DIRT
DIAMOND outvalues DIRT & BOULDER
DIRT carries BOULDER, blocks FIREFLY
BOULDER kills FIREFLY & ROCKFORD
FIREFLY kills ROCKFORD, guards DIAMOND
ROCKFORD collects DIAMOND, digs DIRT
DIAMOND outvalues DIRT & BOULDER
DIRT carries BOULDER, blocks FIREFLY
BOULDER kills FIREFLY & ROCKFORD
FIREFLY kills ROCKFORD, guards DIAMOND
Indeed, there exists a complete circle of solutions!Dustin wrote:Funny, innit?
@John: For these infinite number of solutions, I'd suggest you provide Dustin infinitely many prizes; one prize on your desk at each point in time, both in the past and in the future!
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