AARoads Forum

National Boards => General Highway Talk => Topic started by: bugo on November 13, 2014, 02:24:50 PM

Title: Duplexes where both highway numbers are Fibonacci numbers
Post by: bugo on November 13, 2014, 02:24:50 PM
US 1/US 2
US 2/US 3
US 1/US 13
US 2/US 89
(I think this is it for US routes)

US 377/OK 1 (has 377 been rerouted onto the Ada bypass?)
US 377/OK 3
OK 1/OK 2

I'm sure there are plenty more. I couldn't find any examples where both highways were interstates, but there have to be a bunch of US route/state route or interstate/state route. There are also examples of highways with 2 numbers in the Fibonacci sequence that meet but don't duplex. Are there any stretches of highway with 3 Fibonacci numbers?

Title: Re: Duplexes where both highway numbers are Fibonacci numbers
Post by: hotdogPi on November 13, 2014, 02:31:27 PM
MA 2 / US 3
US 2 / ME 5
NY 5 / NY 13

Unfortunately, I-89 does not multiplex with US 2, even though it parallels it for a while.
Title: Re: Duplexes where both highway numbers are Fibonacci numbers
Post by: okc1 on November 13, 2014, 03:14:08 PM
377 & OK 1 are concurrent in ADA from the JCT of Arlington & Mississippi to the bypass.  377 has not been rerouted
Title: Duplexes where both highway numbers are Fibonacci numbers
Post by: formulanone on November 13, 2014, 03:27:03 PM
US 1 / FL 5, although the latter is the "secret" SR number for most of its length.
Title: Re: Duplexes where both highway numbers are Fibonacci numbers
Post by: CNGL-Leudimin on November 13, 2014, 05:13:44 PM
Any route numbered 1 is the overlap of two Fibonacci numbers :sombrero:.
Title: Re: Duplexes where both highway numbers are Fibonacci numbers
Post by: hbelkins on November 13, 2014, 08:53:49 PM
Now I'm going to have to Google "Fibonacci number."
Title: Re: Duplexes where both highway numbers are Fibonacci numbers
Post by: roadman65 on November 13, 2014, 09:05:37 PM
You have to add the previous number of the system to get to your next number.  One plus Zero is one, which is why there is two number ones, then the second one to the first one added gives you two, then add two the previous number one, which gives you three, and then add the three to the two to get your next number of five and so on and so on.
Title: Re: Duplexes where both highway numbers are Fibonacci numbers
Post by: bugo on November 14, 2014, 02:37:57 AM
Now this is cool:



The number of syllables in each phrase in the verses correspond to a number in the Fibonacci sequence:

1 "Black"
1 "and"
2 "white are"
3 "all I see"
5 "in my infancy"
8 "red and yellow then came to me"
5 "reaching out to me"
3 "lets me see"

The song references spirals and recommends the listener to "spiral out" (experience new things, learn new things, etc.) The Fibonacci sequence looks like a spiral when mapped out.

This one is a little more blatant:

Title: Re: Duplexes where both highway numbers are Fibonacci numbers
Post by: DandyDan on November 14, 2014, 05:18:38 AM
Only one I can find in Nebraska is US 34 and NE 2 in and near Grand Island.
Title: Re: Duplexes where both highway numbers are Fibonacci numbers
Post by: Scott5114 on November 14, 2014, 01:50:04 PM
Quote from: bugo on November 13, 2014, 02:24:50 PM
US 377/OK 1 (has 377 been rerouted onto the Ada bypass?)

Depends on what you mean by "Ada bypass". If you mean the Richardson Loop that OK-3 and OK-1 follow around the south and west sides of town, no; US-377 (and OK-99 of course) still leaves the freeway and proceeds north to Lonnie Abbott Boulevard and follows it west until it meets up with the freeway again. North of Lonnie Abbott US-377 follows the expressway that was built in the mid-2000s and bypasses Byng.

The Richardson Loop is the only good thing about Ada since it allows you to avoid experiencing the sad, sad little town that is Ada.
Title: Re: Duplexes where both highway numbers are Fibonacci numbers
Post by: WNYroadgeek on November 14, 2014, 11:40:59 PM
NY 5 and NY 21 in Canandaigua.
NY 13 and NY 34 in Ithaca.
Title: Re: Duplexes where both highway numbers are Fibonacci numbers
Post by: kurumi on November 16, 2014, 12:10:55 AM
In a pinch, adjacent Fibonacci numbers are an approximate conversion between miles and km (within 1% for higher numbers). If your number isn't in the sequence, you can always fall back to (1 + sqrt(5))/2 :)
Title: Re: Duplexes where both highway numbers are Fibonacci numbers
Post by: Darkchylde on November 16, 2014, 12:27:22 AM
LA 1 and LA 2 in far northwestern Louisiana.