Shortest Path for Spider to Capture Fly in 12x30 Room

  • Thread starter dontdisturbmycircles
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In summary: Good luck!In summary, the spider in a 12x30 foot room with a 12-foot ceiling wants to capture a fly on the opposite middle wall while starting on the middle of the end wall. The shortest path the spider can take is 40 feet.
  • #1
dontdisturbmycircles
592
3
A 12x30 foot room has a 12-foot ceiling. In the middle of the end wall(across the 30 foot gap of course), a foot above the floor, is a spider. The spider wants to capture a fly in the middle of the opposite wall, one foot below the ceiling. What is the shortest path the spider can take? (distance)

Good luck!
 
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  • #2
Answer (highlight to view):
I think the problem is stated too simply as both spider and fly are on the line that runs through the centers of their respective walls, parallel to each other. In the general case, treating the walls as if they formed a box, cut along the edges so that the box can be flattened. Then draw a straight line from spider to fly.
eom
 
  • #3
Find the shortest distance he has to travel in inches :biggrin: .
 
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  • #4
dontdisturbmycircles said:
A 12x30 foot room has a 12-foot ceiling. In the middle of the end wall(across the 30 foot gap of course), a foot above the floor, is a spider. The spider wants to capture a fly in the middle of the opposite wall, one foot below the ceiling. What is the shortest path the spider can take? (distance)

A similar problem has been posted before (quite a while ago, admittedly):
https://www.physicsforums.com/showthread.php?t=49221

But your numbers work out far better-- If the spider walks directly along the middle of the floor/ceiling, he walks 42 feet. But there is a shorter path where he can get there in 40 feet.

DaveE
 
  • #5
Correct. :smile:

Sorry for the double post.

I need to find some better brain teasers to post here. I suppose it will be hard to stump a science forum. :rolleyes: :tongue:
 

1. How is the shortest path for a spider to capture a fly determined in a 12x30 room?

The shortest path for a spider to capture a fly in a 12x30 room is determined by using the shortest path algorithm, such as Dijkstra's algorithm or A* algorithm. These algorithms calculate the shortest path between two points by considering the distance between each point and the obstacles in the room.

2. Is there a specific starting or ending point for the spider and fly in the 12x30 room?

Yes, the spider and fly have specific starting and ending points in the 12x30 room. The spider's starting point is typically at the edge of the room, where it has access to all possible paths, while the fly's starting point is usually at the center of the room.

3. Can the shortest path for a spider to capture a fly change depending on the location of obstacles in the room?

Yes, the shortest path for a spider to capture a fly can change depending on the location of obstacles in the room. The algorithm takes into account the location and size of obstacles in the room and calculates the shortest path accordingly.

4. How does the size of the room affect the shortest path for the spider to capture the fly?

The size of the room can affect the shortest path for the spider to capture the fly in two ways. First, a larger room may have more possible paths for the spider to reach the fly, making it harder to determine the shortest path. Second, the size of the room can also affect the length of the shortest path, as the spider may have to travel a longer distance to reach the fly in a larger room.

5. Are there any factors other than obstacles that can impact the shortest path for a spider to capture a fly?

Yes, there are other factors that can impact the shortest path for a spider to capture a fly. These factors include the speed and agility of the spider, the location and movement of the fly, and any other variables that may affect the spider's ability to navigate the room and capture the fly.

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