Navigating Time and Space - the Exhibition problem

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I'd like to discover or invent an optimal way for two bodies to pass through time and space and rejoin as soon as possible after being separated.

Now I've got your attention with the esoteric woo, I'll clarify the issue.

Anne and Bob go to a gallery exhibition for bells and flashing lights. It's visually tumultuous and noisy, and they find it easy to get distracted and are quickly separated from each other. There are a lot of visitors at the exhibition and it's easy for them to become separated.

What is the optimal way for them to find each other?


Assume the following criteria:

* Anne and Bob wish to experience the full exhibition
* Anne and Bob enjoy the exhibition more when they are together
* Anne and Bob have a limitation of an hour to visit the exhibition
* It takes time to move through the exhibition - travelling to the end or start to meet up consumes some of their limited time
* Anne and Bob do not have prior knowledge of the layout of the exhibition. i.e. they don't know if it's divided into sections, how many rooms it contains, or what exhibits are on display
* The formula must apply to all exhibitions Anne and Bob visit
* Anne and Bob are human people and this problem applies to humans, not cows in a vacuum
* Anne and Bob are not joined at the hip. They will become separated. The task is not about keeping them united, but about reuniting them
* Anne and Bob can discuss and agree on a plan of action in advance
* Anne and Bob are decent human beings who abide by the social contract. They can't just "mow down everyone with a machine gun" or "hammer airhorns until they find each other" (thanks, @handoferis).

I think I have a solution for this problem, but I'm interested if people can provide a better answer. I'll supply my solution later in the week.
 
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I'd like to discover or invent an optimal way for two bodies to pass through time and space and rejoin as soon as possible after being separated.
Make the bodies positive and negative magnets respectively.
Anne and Bob go to a gallery exhibition for bells and flashing lights. It's visually tumultuous and noisy, and they find it easy to get distracted and are quickly separated from each other. There are a lot of visitors at the exhibition and it's easy for them to become separated.

What is the optimal way for them to find each other?


Assume the following criteria:

* Anne and Bob wish to experience the full exhibition
* Anne and Bob enjoy the exhibition more when they are together
* Anne and Bob have a limitation of an hour to visit the exhibition
* It takes time to move through the exhibition - travelling to the end or start to meet up consumes some of their limited time
* Anne and Bob do not have prior knowledge of the layout of the exhibition. i.e. they don't know if it's divided into sections, how many rooms it contains, or what exhibits are on display
* The formula must apply to all exhibitions Anne and Bob visit
* Anne and Bob are human people and this problem applies to humans, not cows in a vacuum
* Anne and Bob are not joined at the hip. They will become separated. The task is not about keeping them united, but about reuniting them
* Anne and Bob can discuss and agree on a plan of action in advance
* Anne and Bob are decent human beings who abide by the social contract. They can't just "mow down everyone with a machine gun" or "hammer airhorns until they find each other" (thanks, @handoferis).

I think I have a solution for this problem, but I'm interested if people can provide a better answer. I'll supply my solution later in the week.
They must both find the outermost wall inside, and stay by it; Anne will always walk along with the wall on her left, while Bob will walk along with the wall on his right.
Being just an exhibition I don't think there could be a misinterpretation of what an outer wall is, but just in case, if Bob reaches where he started he must find a different wall.
They don't have to hug the perimeter with their bodies, they just need to continuously follow the wall with their eyes. To make this even faster, they can even do a little jog or speedwalk.
 
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Remote Viewing.

If either Bob or Anne detach themselves from the worry and fear of finding each other and clearly wish and will to find each other and start walking in a direction, letting "intuition" guide them, they will find each other :)
 

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Please allow me to call upon my piece, Furudo Erika, to solve this game.

wehhhhh.png

"Weh~~ Thank you, <我が主>! Let's see here...
'Anne and Bob go to a gallery exhibition for bells and flashing lights. It's visually tumultuous and noisy, and they find it easy to get distracted and are quickly separated from each other. There are a lot of visitors at the exhibition and it's easy for them to become separated.'
Interesting... Let me begin my analysis of this game by explaining the victory condition and how to accomplish it.
'What is the optimal way for them to find each other?' Is question is about proximity. Specifically, the goal is to find a method to allow two entities which move in an entropic fashion, around a certain Mysterious Exhibition Space 'X' to return a position of proximity. Of course, these entities are 'people' and by the criterion of 'Anne and Bob are human people and this problem applies to humans, not cows in a vacuum' the solution cannot be assumed to be such an abstraction. But rather than being a restriction, this really lets me induce any number of non-abstract elements into the solution... or it would, if not for 'Anne and Bob are decent human beings who abide by the social contract. They can't just "mow down everyone with a machine gun" or "hammer airhorns until they find each other."' So, sad as it makes me, answers such as 'the museum explodes and the pieces of Anne and Bob follow similar trajectories, keeping them together at all times!' or 'Anne and Bob have both tied ten-foot poles to their heads via wristbands, each having a signpost on them saying "Anne" and "Bob" respectively!' are not tolerable answers."
364634-200.png


"...However... The reason as to why such solutions are forbidden, is 'because they violate the social contract'. That is to say, they result in boards where tenets, not unlike the Decalogue, are violated, creating a situation where the board no longer conforms to the rules of genre, that is, the 'contract'. In terms that even someone like Gohda-san could understand, it's 'not believable'. It is for this reason that answers such as 'they find one another using finding-gnomes,' or those like @no_chill's answer are also not propper. Again, this is only to the extent that the nuances of the answer violate some of the tenets. In other words, we don't have to dismiss these lines of reasoning entirely, only there must be certain conditions which allow them to weasel through the truths of the Social Contract. So, while the signposts or airhorns are not accepted, another form of signaling such as some type of radio communication combined with a way of expressing relative position would.
The last important part of the question is that it must be optimal. For example, while @LostintheCycle's answer is correct for most maze-like geometries, at least only considering two-dimensional layouts, it does not necessitate itself as being optimal.
...By the way, because 'the formula must apply to all exhibitions Anne and Bob visit' means that this is still is not an acceptable answer, because there are many architectures which cannot be circumnavigated by a following single surface."
364634-200.png


"Now, with all of this in mind, allow me to expounding some of the facets of this puzzle.
'Anne and Bob wish to experience the full exhibition.'
'Anne and Bob enjoy the exhibition more when they are together.'
As stated previously, Anne and Bob move entropically, and by that I mean they have a natural tendency to separate from one another. Surely their relationship will be similar wehehe~... Anyways, from these two statements I infer that an optimal solution would be one in which they spend the maximum amount of time together while still experiencing the entirety of the exhibition, so an answer such as 'Anne and Bob both agree to see separate halves of the exhibit for 30 minutes, then meet up again at the entrance and see their respective other halves for the remaining 30 minutes' is not correct.
I however consider this to be a good starting point. By that I mean, I would consider this to be an 'anti-optimal' solution, since the twosome only reunite once in the entire hour of the exhibition. I shall now induce, then, that an optimal solution would be one where Anne and Bob, moving as they do, absorbed in all of the distractions, travel in chaotic directions while reuniting as many times as possible. That way, they experience the entirety of the exhibition while being together for as long as possible!
Now, how would they accomplish this? Think about it. They keep splitting up because they're drowning in their own distractions and attention spans. So, they need to remind themselves to reunite as often as they can. In order for this to be optimal, and for them to be able to reunite while still bound by human perceptual limitations, they must need to remind themselves within a certain timeframe so that they can still easily locate each other in their peripheral senses, so as to not spend too much time searching for eachother, and thus apart."
364634-200.png


"Now then! The solution comes to me! Awaken, my genius!
Anne and Bob are both equipped with low-powered shock collars hidden under their clothes!!!!! The purpose of these collars is to send a slight shock through their respective nervous systems every 10-30 seconds, such that they (by an agreement and perhaps a training drill beforehand) respond to the shocks by immediately locating one another and reuniting! Since the shock is more immediately attention-demanding than the bells and whistles of the exhibit, they will always be able to remind themselves of their agreement. Of course, the shock is also not so strong as to make the experience unpleasant, and maybe on the other hand, even more enjoyable~~ The time frame of 10-30 seconds is set such that it's impossible for them to travel so far such that they cannot find eachother by eyesight or otherwise raising their voices, but not to an extent that it would violate the Social Contract. Additionally, since no one can see the collars, the rest of the world is none the wiser! No one will ever know, and thus the social aspect of the Social Contract is maintained!
Do you see? This level is of reasoning is possible for Furudo Erika!!!!
<Well, 皆さん>?"
 
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Punp

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Please allow me to call upon my piece, Furudo Erika, to solve this game.

View attachment 84822

"Weh~~ Thank you, <我が主>! Let's see here...
'Anne and Bob go to a gallery exhibition for bells and flashing lights. It's visually tumultuous and noisy, and they find it easy to get distracted and are quickly separated from each other. There are a lot of visitors at the exhibition and it's easy for them to become separated.'
Interesting... Let me begin by my analysis of this game by explaining the victory condition and how to accomplish it.
'What is the optimal way for them to find each other?' Is question is about proximity. Specifically, the goal is to find a method to allow two entities which move in an entropic fashion, around a certain Mysterious Exhibition Space 'X' to return a position of proximity. Of course, these entities are 'people' and by the criterion of 'Anne and Bob are human people and this problem applies to humans, not cows in a vacuum' the solution cannot be assumed to be such an abstraction. But rather than being a restriction, this really lets me induce any number of non-abstract elements into the solution... or it would, if not for 'Anne and Bob are decent human beings who abide by the social contract. They can't just "mow down everyone with a machine gun" or "hammer airhorns until they find each other."' So, sad as it makes me, answers such as 'the museum explodes and the pieces of Anne and Bob follow similar trajectories, keeping them together at all times!' or 'Anne and Bob have both tied ten-foot poles to their heads via wristbands, each having a signpost on them saying "Anne" and "Bob" respectively!' are not tolerable answers."
364634-200.png


"...However... The reason as to why such solutions are forbidden, is 'because they violate the social contract'. That is to say, they result in boards where tenets, not unlike the Decalogue, are violated, creating a situation where the board no longer conforms to the rules of genre, that is, the 'contract'. In terms that even someone like Gohda-san could understand, it's 'not believable'. It is for this reason that answers such as 'they find one another using finding-gnomes,' or those like @no_chill's answer are also not proper. Again, this is only to the extent that the nuances of the answer violate some of the tenets. In other words, we don't have to dismiss these lines of reasoning entirely, only there must be certain conditions which allow them to weasel through the truths of the Social Contract. So, while the signposts or airhorns are not accepted, another form of signaling such as some type of radio communication combined with a way of expressing relative position would.
The last important part of the question is that it must be optimal. For example, while @LostintheCycle's answer is correct for most maze-like geometries, at least only considering two-dimensional layouts, it does not necessitate itself as being optimal.
...By the way, because 'the formula must apply to all exhibitions Anne and Bob visit' means that this is still is not an acceptable answer, because there are many architectures which cannot be circumnavigated by a single surface."
364634-200.png


"Now, with all of this in mind, allow me to expounding some of the facets of this puzzle.
'Anne and Bob wish to experience the full exhibition.'
'Anne and Bob enjoy the exhibition more when they are together.'
As stated previously, Anne and Bob move entropically, and by that I mean they have a natural tendency to separate from one another. Surely their relationship will be similar wehehe~... Anyways, from these two statements I infer that an optimal solution would be one in which they spend the maximum amount of time together while still experiencing the entirety of the exhibition, so an answer such as 'Anne and Bob both agree to see separate halves of the exhibit for 30 minutes, then meet up again at the entrance and see their respective other halves for the remaining 30 minutes' is not correct.
I however consider this to be a good starting point. By that I mean, I would consider this to be an 'anti-optimal' solution, since the twosome only reunite once in the entire hour of the exhibition. I shall now induce, then, that an optimal solution would be one where Anne and Bob, moving as they do, absorbed in all of the distractions, travel in chaotic directions while reuniting as many times as possible. That way, they experience the entirety of the exhibition while being together for as long as possible!
Now, how would they accomplish this? Think about it. They keep splitting up because they're drowning in their own distractions and attention spans. So, they need to remind themselves to reunite as often as they can. In order for this to be optimal, and for them to be able to reunite while still bound by human perceptual limitations, they must need to remind themselves within a certain timeframe so that they can still easily locate each other in their peripheral senses, so as to not spend too much time searching for eachother, and thus apart."
364634-200.png


"Now then! The solution comes to me! Awaken, my genius!
Anne and Bob are both equipped with low-powered shock collars hidden under their clothes!!!!! The purpose of these collars is to send a slight shock through their respective nervous systems every 10-30 seconds, such that they (by an agreement and perhaps a training drill beforehand) respond to the shocks by immediately locating one another and reuniting! Since the shock is more immediately attention-demanding than the bells and whistles of the exhibit, they will always be able to remind themselves of their agreement. Of course, the shock is also not to strong as to make the experience unpleasant, and maybe, even more enjoyable~~ The time frame of 10-30 seconds is set such that it's impossible for them to travel so far such that they cannot find eachother by eyesight or otherwise raising their voices, but not to an extent that it would violate the Social Contract. Additionally, since no one can see the collars, the rest of the world is none the wiser! No one will ever know, and thus the social aspect of the Social Contract is maintained!
Do you see? This level is of reasoning is possible for Furudo Erika!!!!
<Well, 皆さん>?"
This started off as such a promising post. Electric shock collars are not available to everyone, but the concept holds true - by being more alert, they could constantly reunite. This holds true if Bob is constantly staring at Anne, but detracts from the enjoyment of the exhibition and does not facilitate engaging with the exhibition in periods longer than ten to thirty seconds (a ding-it-yourself bell exhibit, a sixty second strobe film, or a long list of epileptic casualties suffered during the exhibit, for example).

Further, this is a solution on preventing them parting, not a solution on reuniting them after they have separated.

Thank you uhh [checks notes] Furudo Erika, for your suggestion. We'll put it in the maybe pile.
 
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This started off as such a promising post. Electric shock collars are not available to everyone, but the concept holds true - by being more alert, they could constantly reunite. This holds true if Bob is constantly staring at Anne, but detracts from the enjoyment of the exhibition and does not facilitate engaging with the exhibition in periods longer than ten to thirty seconds (a ding-it-yourself bell exhibit, a sixty second strobe film, or a long list of epileptic casualties suffered during the exhibit, for example).

Further, this is a solution on preventing them parting, not a solution on reuniting them after they have separated.

Thank you uhh [checks notes] Furudo Erika, for your suggestion. We'll put it in the maybe pile.
uwhwhwhwhwhwhwh.png
"Are you implying that my solution is not perfect? It's entirely reasonable! Optimal! Genius!
'Shock collars are not available to everyone?' They bought them on Amazon! Or some sort of BDSM-toy store, I'm sure they have those, I mean if you're going to some sort of fucked up, post-modern light exhibit it's not out of the ordinary, I mean I'd believe it anyways (?) ! And Anne and Bob are definitely into that sort of thing okay you never said they didn't ddevils proff fuk you mkay!!!??~~~~~~~~ They enjoy it~~~~~ <3! Freaks. That's all they are. But that's a discussion for another time.
...And if they're getting so distracted and losing each other all the time, I doubt that they'd naturally be able to focus on an exhibit for more than 30 seconds anyways..."
 
Please allow me to call upon my piece, Furudo Erika, to solve this game.

<Umineko fanfic>
You get points for capturing the feel of the 07th Expansion visual novels

Trying to think about it seriously though:

My first pass at a thought is something like, let's say Alice and Bob both agree that they will always go to the next exhibit rightmost of them from the entrance, looking forward from the exhibit. This determines the direction and path they will take through the gallery, so we can now rule that out.

Let's say for example the gallery has 6 exhibits. Alice and Bob then get separated like so:

1 -> 2 -> 3 (Alice is here) -> 4 -> 5 (Bob is here) -> 6

Though it can be anything I'm choosing this randomly to work through the problem.
The problem is set up that A and B won't know how many exhibits there are even when they get there (if they do, that makes it easier...hence why I assume not ;) )

The collar thing does give me an *idea* though. For shits and giggles I'll keep working with them, but you could go with some other pulse tool.

A and B give each other shock collars and control of the collars. These work remotely. They agree on a language: When they realize they are no longer near each other, they will send a shock to the collar in the amount of the exhibits they have traversed. The other one will pulse with how many they've traversed. Then the further one (B) will traverse back one exhibit, and the one closer to the start (A) will move forward one. Since now they will be next to each other (4 and 5) the further one will move back another exhibit, and they will continue the exploration.

"Okay but what if they lose track of how far they've gone because they're so distracted"

Yeah I'd have to keep thinking.
 
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Punp

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Can't they just hold hands
* Anne and Bob are not joined at the hip. They will become separated. The task is not about keeping them united, but about reuniting them


...but you could go with some other pulse tool.
smh of course Agorans are thinking of sex toys before they remember that mobile phones exist.

Because this must apply to all exhibitions and all layouts - including infinitely large ones or ones made of lead or stone, we can assume there is no signal in this place, or it is in a foreign country where they have no phone service. This is based on a real life experience where I lost my party and wasn't able to find them. I assumed I was lagging behind so went ahead through the rest of the exhibit. They were waiting for me at the start of the first section. I only found out when I messaged after waiting two hours that I was at the end and got a response an hour later.

The other problem I encountered was that there were often hub rooms with offshooting dead-end sections. It was possible to enter an offshoot room while the other people passed through the hub. It's also possible that there are branching rooms.

So far @LostintheCycle has given the best solution.

My solution is this:

Anne and Bob become separated. They think back to when they last spoke to (and acknowledged speaking to) each other and return there and wait. Anne always stays at the last location she recalls and Bob returns to each place he recalls from latest to earliest. This seems to be the best way to backtrack without returning to the start or traversing the whole exhibit.

When you have multiple people in your party and you are searching for multiple people you can set a rebound point where you herd all the missing people. This is a problem for another post though.
 
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Can't they just hold hands
What are ya fucking gay?

Way i propose to solve this is by sacrificing part of the enjoyment of either Bob or Anne. Now every exhibit always has a main event or a big thing that is the draw of the event. For me sake they both have wrist watches alongside their shock collars, they both agree'd that if separated that shall meet at the main exhibit, the moment one reaches he main exhibit they shock the other person lightly to sexually reassure them of their meeting point. Once they meet up again Bob will backtrack showing Anne the exhibits he saw without her up until the point he shows Anne one she saw already as well, that identifies the point of separation and from there if time allows Anne will show Bob the exhibits she saw without him. Re seeing the exhibits does not take from the experience as it was stated that they enjoy them more together than by themselves. For the cherry on top me solution also requires that Anne gives Bob a sloppy blowjob after they leave the gallery.
 
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Punp

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What are ya fucking gay?

Way i propose to solve this is by sacrificing part of the enjoyment of either Bob or Anne. Now every exhibit always has a main event or a big thing that is the draw of the event. For me sake they both have wrist watches alongside their shock collars, they both agree'd that if separated that shall meet at the main exhibit, the moment one reaches he main exhibit they shock the other person lightly to sexually reassure them of their meeting point. Once they meet up again Bob will backtrack showing Anne the exhibits he saw without her up until the point he shows Anne one she saw already as well, that identifies the point of separation and from there if time allows Anne will show Bob the exhibits she saw without him. Re seeing the exhibits does not take from the experience as it was stated that they enjoy them more together than by themselves. For the cherry on top me solution also requires that Anne gives Bob a sloppy blowjob after they leave the gallery.
It's a good idea, but not all exhibits have main events and it doesn't account that backtracking and blowjobs consume time that is not available.
 
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HammerKoopa

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It's a good idea, but not all exhibits have main events and it doesn't account that backtracking and blowjobs consume time that is not available.
Thats also where the sacrifice part comes into play. They have limited time so the one that backtrack first in this case Bob will be the one that gets to enjoy less of the exhibit while Anne gets a more full experience, and hence why the lad must get his dick sucked when they are back home. Sides if there are no main event then arbitrary meet up points can always be set, a bathroom, gift shop, statue made out of scraps etc. The caveat is that it should be on the relative "middle" of whatever place they find themselves in since the entrance would require too much backtracking.
 
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It's a good idea, but not all exhibits have main events and it doesn't account that backtracking and blowjobs consume time that is not available.
Quotes of Agora
 
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The stipulation that they know nothing in advance about the layout of the place renders @LostintheCycle's rule a bit difficult to apply, because it wouldn't work with a casino-type floorplan (see attached image).

A basic plan is to agree on two rules:
1. Any time either of us wants to move, we first look around (without changing position) and only move if we see the other person standing.
2. If we aren't together, we only move in a straight line.

This would work something like this (see second attached image). If you don't see the other person when you look, you go either to the last place you saw them (if that place is visible to you) or to your own previous location (if it isn't). This allows both people to look at whatever exhibits they like while remaining close together. If you want to all look at the same exhibits, just tie your arms together or use the shock collars.

Please allow me to call upon my piece, Furudo Erika, to solve this game.
Seeing Erika's sprite out of nowhere as I scrolled down felt like being slapped by a steel chair. :NepWink:
 

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Inform and consent or fire and movement
2880px-Fire_and_movement.svg.png

Had a similar problem, it's very bad with different levels and multiple rooms with branches, random loops and dead ends.

Depending on the amount of distraction, set a timer to check for the other/s. (Auto save)

The best way to deal with that is to announce any departure with a direction or destination in addition to:
Anne and Bob become separated. They think back to when they last spoke to (and acknowledged speaking to) each other and return there and wait. Anne always stays at the last location she recalls and Bob returns to each place he recalls from latest to earliest. This seems to be the best way to backtrack without returning to the start or traversing the whole exhibit.
If a tolerable limit is reached that side can now follow or backtrack. Last resort would be points of interest in already mentioned last known location. For me the most important and hardest thing to manage were different levels. Stairs and lifts are the best place to regroup, because afterwards you can only backtrack. Except you follow specific movement rules like always following the strong hand.
 

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Before visiting the exhibit, Anne and Bob spend enough time researching whatever's on display (bells and lights) to develop a good working knowledge of the subject. If they become separated they both agree to strike up a conversation about what they're looking at with another visitor, and to try and draw as many other people into the discussion as possible as they proceed through the exhibit. (They can also spend part of their apparently unlimited prep time working on their social skills if this is too difficult.) Becoming the center of a group makes them more noticeable to their counterpart without violating any social norms, while also enhancing their individual enjoyment of the exhibit. The mnemonic effect of having to speak about whatever part of the exhibit their partner missed will also alow them to explain it to them in detail when they meet again.
 
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* Anne and Bob wish to experience the full exhibition
If they wish to experience the full exhibition, the meaning of experience, could be viewed as experiencing it from every time and every position within the space. As a result of this fullness constraint, there's no effective benefit for them splitting up, especially if they enjoy it more together.
* Anne and Bob are not joined at the hip. They will become separated. The task is not about keeping them united, but about reuniting them
This raises the question of what is separation. Regardless there's no time constraint upon separation, so just have them separate for a second, and then as a good girlfriend and boyfriend pair, enjoy the exhibition as they wish to, and as they enjoy it more together, move as a single actor throughout the space(since there's no guarantees on layouts, and the fullness constraint is applied before, there is no benefit to splitting up to explore the space).

So my solution, under the fullness constraint, and under the separation with no time requirement constraint, and the enjoying it more together constraint, and the no guarantee on layout constraints is the following:
  1. They enter the space
  2. They separate for a second. Stop holding hands to eat the rest of a burger or to pass through security or whatever.
  3. Hold hands, as they enjoy the space together more.
  4. Under the fullness constraint applied to both actors, move around the space as if they are one actor.
 
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LostintheCycle

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  1. They enter the space
  2. They separate for a second. Stop holding hands to eat the rest of a burger or to pass through security or whatever.
  3. Hold hands, as they enjoy the space together more.
  4. Under the fullness constraint applied to both actors, move around the space as if they are one actor.
OH SHIT! Some disrespectful lardass with seven kids came through between their hands seperating them, and when Alice isn't looking some creepy guy knocks out Bob and drags his body somewhere random into the exhibit, before getting tackled by the police and carried off in a stretcher. In the meanwhile, Bob has woken up after some minutes unconscious, and Alice is nowhere to be seen. He is determined to not let this spoil is enjoyment of the exhibit.
What now?
 
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InternetGeist

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All right I will try to offer a serious answer that doesn't require sex toys. Let both Bob and Anne wear a watch and set an interval of time at the end of which they shall reunite with each other. After entering the exhibition, they will walk straight and agree upon a specific location that they will meet at the end of the first interval. They should also determine what would be the "object" that is used to identify the location. For an art exhibition, it could be a painting; for a casino, it could be a machine; for a food market, it could be a stand, etc.

If one of them forgets to go back or loses directions, the other person will wait up to no more than 5 minutes in order to not waste time. For the meeting location of the next interval, Bob and Anne can decide on a number, let's say 5 for now, and reunite at the location 5 objects away from the first location straight towards the opposite direction of the entrance. Depending on how large the exhibition is, what shape the space is, and where they entered, they could also decide on whether to continue counting clock-wisely or counter-clock-wisely after reaching the end yet needing more time to browse.
 
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