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Are there any Penrose loops within an interchange?

Started by hotdogPi, March 17, 2022, 11:00:33 AM

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hotdogPi

(Penrose loop isn't an established term, but I'm calling it that in analogy with Penrose stairs.)

Three or more overpasses/underpasses. Road A goes over Road B. Road B goes over Road C. Road C goes over Road A, or if there are more than three, it forms a cycle analogously. Connections (or lack thereof) between the road don't matter. Railroads are allowed, and this thread is not limited to the United States.
Clinched

Traveled, plus
US 13, 50
MA 22, 35, 40, 53, 79, 107, 109, 126, 138, 141, 159
NH 27, 78, 111A(E); CA 90; NY 366; GA 42, 140; FL A1A, 7; CT 32, 320; VT 2A, 5A; PA 3, 51, 60, WA 202; QC 162, 165, 263; 🇬🇧A100, A3211, A3213, A3215, A4222; 🇫🇷95 D316

Lowest untraveled: 36


froggie

Though it's not a single interchange, would you classify I-495/VA 7/VA 123 at Tysons Corner as such?

hotdogPi

Quote from: froggie on March 17, 2022, 11:21:45 AM
Though it's not a single interchange, would you classify I-495/VA 7/VA 123 at Tysons Corner as such?

It definitely meets the criteria that no single road is on top.
Clinched

Traveled, plus
US 13, 50
MA 22, 35, 40, 53, 79, 107, 109, 126, 138, 141, 159
NH 27, 78, 111A(E); CA 90; NY 366; GA 42, 140; FL A1A, 7; CT 32, 320; VT 2A, 5A; PA 3, 51, 60, WA 202; QC 162, 165, 263; 🇬🇧A100, A3211, A3213, A3215, A4222; 🇫🇷95 D316

Lowest untraveled: 36

CardInLex

In Louisville, traffic going from I-65 NB to I-64 EB does quite a few ups and downs:
1) Goes under the C/D ramp to I-65 NB
2) Goes over I-71
3) Then immediately, goes under the same I-71 traffic they just went over

Conversely, I-65 NB to I-71 NB traffic:
1) Goes under the C/D ramp to I-65 NB
2) Goes under I-64
3) Then immediately, goes over the same I-64 traffic they just went under

https://goo.gl/maps/ERbaVhXBzJW36DBi6

Both also pass under on ramps to their respective directions and go over a local street/railroad.

hotdogPi

Quote from: CardInLex on March 17, 2022, 12:00:11 PM
In Louisville, traffic going from I-65 NB to I-64 EB does quite a few ups and downs:
1) Goes under the C/D ramp to I-65 NB
2) Goes over I-71
3) Then immediately, goes under the same I-71 traffic they just went over

Conversely, I-65 NB to I-71 NB traffic:
1) Goes under the C/D ramp to I-65 NB
2) Goes under I-64
3) Then immediately, goes over the same I-64 traffic they just went under

https://goo.gl/maps/ERbaVhXBzJW36DBi6

Both also pass under on ramps to their respective directions and go over a local street/railroad.

I-65 plus one of its southbound exit ramps is on top, and there are two ramps that would be on top if not for I-65. Unless the loop is entirely below those ramps, it doesn't seem to qualify.
Clinched

Traveled, plus
US 13, 50
MA 22, 35, 40, 53, 79, 107, 109, 126, 138, 141, 159
NH 27, 78, 111A(E); CA 90; NY 366; GA 42, 140; FL A1A, 7; CT 32, 320; VT 2A, 5A; PA 3, 51, 60, WA 202; QC 162, 165, 263; 🇬🇧A100, A3211, A3213, A3215, A4222; 🇫🇷95 D316

Lowest untraveled: 36

webny99

Quote from: 1 on March 17, 2022, 11:26:28 AM
Quote from: froggie on March 17, 2022, 11:21:45 AM
Though it's not a single interchange, would you classify I-495/VA 7/VA 123 at Tysons Corner as such?

It definitely meets the criteria that no single road is on top.

I'm looking at that as a baseline, and then seeing if I can find examples with a smaller triangle.

webny99

I found a slightly smaller one in Amherst, NY: https://www.google.com/maps/@42.9883929,-78.7919831,16.25z

I-290 > NY 263 > Maple Rd > I-290 with a perimeter distance of about 1.5 miles vs. about 2.5 miles in the VA example.

jmacswimmer

Breezewood, PA:

-I-76/PA Turnpike mainline passes under I-70/PA Turnpike ramp & over Free I-70
-I-70/PA Turnpike ramp passes over I-76/PA Turnpike mainline & under Free I-70
-Free I-70 passes over I-70/PA Turnpike ramp & under I-76/PA Turnpike mainline

Perimeter of ~1.85 miles.
"Now, what if da Bearss were to enter the Indianapolis 5-hunnert?"
"How would they compete?"
"Let's say they rode together in a big buss."
"Is Ditka driving?"
"Of course!"
"Then I like da Bear buss."
"DA BEARSSS BUSSSS"

GaryV

I don't know what "Penrose" means, but would the US-131/I-196 interchange in Grand Rapids qualify?

I-196 eb goes under everything; I-196 wb goes over everything. US-131 sb crosses over US-131 nb, and then crosses back under it. (Like a DDI, but with overpasses.)

hotdogPi

Clinched

Traveled, plus
US 13, 50
MA 22, 35, 40, 53, 79, 107, 109, 126, 138, 141, 159
NH 27, 78, 111A(E); CA 90; NY 366; GA 42, 140; FL A1A, 7; CT 32, 320; VT 2A, 5A; PA 3, 51, 60, WA 202; QC 162, 165, 263; 🇬🇧A100, A3211, A3213, A3215, A4222; 🇫🇷95 D316

Lowest untraveled: 36

jmacswimmer

Alright, I think I found an example that is actually one single interchange rather than the larger "interchange systems" posted so far:

I-97/MD 3/MD 32 in Millersville MD.
"Now, what if da Bearss were to enter the Indianapolis 5-hunnert?"
"How would they compete?"
"Let's say they rode together in a big buss."
"Is Ditka driving?"
"Of course!"
"Then I like da Bear buss."
"DA BEARSSS BUSSSS"

CtrlAltDel

It's not what you had in mind, but when I-5 crosses itself north of Castaic CA, the southbound lanes pass over the northbound lanes, but when they uncross themselves further north, the northbound lanes pass over the southbound lanes.
I-290   I-294   I-55   (I-74)   (I-72)   I-40   I-30   US-59   US-190   TX-30   TX-6



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