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National Boards => General Highway Talk => Topic started by: Purgatory On Wheels on August 26, 2015, 10:50:10 PM

Title: Distances between consecutive interstate exits
Post by: Purgatory On Wheels on August 26, 2015, 10:50:10 PM
Noticed this the other day driving through eastern Ohio on I-70.  The distance from one exit to the next increases by one mile for five consecutive exits.  To wit:

Exit 154
Exit 155 (+1)
Exit 157 (+2)
Exit 160 (+3)
Exit 164 (+4)
Exit 169 (+5)

The next exit is 176, which breaks the pattern.

Any examples that go on longer?
Title: Re: Distances between consecutive interstate exits
Post by: bassoon1986 on August 27, 2015, 09:54:15 AM
The only pattern in Louisiana I could find more than 2 exits is on I-49:

Exit 1C
Exit 2 (+1)
Exit 4 (+2)
Exit 7 (+3)
Exit 11 (+4)
Title: Re: Distances between consecutive interstate exits
Post by: GCrites on August 27, 2015, 09:48:27 PM
Quote from: Purgatory On Wheels on August 26, 2015, 10:50:10 PM
Noticed this the other day driving through eastern Ohio on I-70.  The distance from one exit to the next increases by one mile for five consecutive exits.  To wit:

Exit 154
Exit 155 (+1)
Exit 157 (+2)
Exit 160 (+3)
Exit 164 (+4)
Exit 169 (+5)

The next exit is 176, which breaks the pattern.

Any examples that go on longer?

Fascinating observation. I've been going through there since the early '80s and never once thought of that.
Title: Re: Distances between consecutive interstate exits
Post by: bulldog1979 on August 28, 2015, 12:14:21 AM
Can anyone find the Fibonacci sequence anywhere? (I'd allow either a 1A/1B or just a single 1 to start out.)
Title: Re: Distances between consecutive interstate exits
Post by: pianocello on August 28, 2015, 10:04:53 AM
Quote from: bulldog1979 on August 28, 2015, 12:14:21 AM
Can anyone find the Fibonacci sequence anywhere? (I'd allow either a 1A/1B or just a single 1 to start out.)

The best I can think of off the top of my head is I-80/94 in Northwest Indiana: Exit 1 has two off-ramps from either direction (not signed as A and B, though), and then it's followed by 2, 3, and 5. There's got to be a better one, though.
Title: Re: Distances between consecutive interstate exits
Post by: hotdogPi on August 28, 2015, 10:43:03 AM
Quote from: pianocello on August 28, 2015, 10:04:53 AM
Quote from: bulldog1979 on August 28, 2015, 12:14:21 AM
Can anyone find the Fibonacci sequence anywhere? (I'd allow either a 1A/1B or just a single 1 to start out.)

The best I can think of off the top of my head is I-80/94 in Northwest Indiana: Exit 1 has two off-ramps from either direction (not signed as A and B, though), and then it's followed by 2, 3, and 5. There's got to be a better one, though.

Is there a 0 before it?