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justhalf
justhalf
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You can place any positive number of robot ants on a long rod and set each of them to move left or right starting at time $0$. You can set any positive speed for each ant. When 2 or more ants meet, they turn around. When an ant reaches the end it falls off.

Can you place and set the ants in such a way that none of them ever falls off?

You can place any number of robot ants on a long rod and set each of them to move left or right starting at time $0$. You can set any positive speed for each ant. When 2 or more ants meet, they turn around. When an ant reaches the end it falls off.

Can you place and set the ants in such a way that none of them ever falls off?

You can place any positive number of robot ants on a long rod and set each of them to move left or right starting at time $0$. You can set any positive speed for each ant. When 2 or more ants meet, they turn around. When an ant reaches the end it falls off.

Can you place and set the ants in such a way that none of them ever falls off?

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Eric
Eric
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Robot ants that stay forever on a rod

You can place any number of robot ants on a long rod and set each of them to move left or right starting at time $0$. You can set any positive speed for each ant. When 2 or more ants meet, they turn around. When an ant reaches the end it falls off.

Can you place and set the ants in such a way that none of them ever falls off?