Picture showing how to place 4,7 or 10 ants:
x-axis is time, y-axis is position. The 4 black ants alone are viable as are the blacks together with the 3 blues or all 10.
Ants here move either at speed 1 or 1/3. Except for the first and last ones, the slower ants can be left out.
Therefore this construction yields solutions for 4, 6, 7, 8, 9, 10, 11, ... ants.
P.S.: 5 is also possible:
Picture showing how to place 4,7 or 10 ants:
x-axis is time, y-axis is position. The 4 black ants alone are viable as are the blacks together with the 3 blues or all 10.
Ants here move either at speed 1 or 1/3. Except for the first and last ones, the slower ants can be left out.
Therefore this construction yields solutions for 4, 6, 7, 8, 9, 10, 11, ... ants.
Picture showing how to place 4,7 or 10 ants:
x-axis is time, y-axis is position. The 4 black ants alone are viable as are the blacks together with the 3 blues or all 10.
Ants here move either at speed 1 or 1/3. Except for the first and last ones, the slower ants can be left out.
Therefore this construction yields solutions for 4, 6, 7, 8, 9, 10, 11, ... ants.
P.S.: 5 is also possible:
Picture showing how to place 4,7 or 10 ants:
x-axis is time, y-axis is position. The 4 black ants alone are viable as are the blacks together with the 3 blues or all 10.
Ants here move either at speed 1 or 1/3. Except for the first and last ones, the slower ants can be left out.
Therefore this construction yields solutions for 4, 6, 7, 8, 9, 10, 11, ... ants.
Picture showing how to place 4,7 or 10 ants:
x-axis is time, y-axis is position. The 4 black ants alone are viable as are the blacks together with the 3 blues or all 10.
Picture showing how to place 4,7 or 10 ants:
x-axis is time, y-axis is position. The 4 black ants alone are viable as are the blacks together with the 3 blues or all 10.
Ants here move either at speed 1 or 1/3. Except for the first and last ones, the slower ants can be left out.
Therefore this construction yields solutions for 4, 6, 7, 8, 9, 10, 11, ... ants.
Picture showing how to place 4,7 or 10 ants:
x-axis is time, y-axis is position. The 4 black ants alone are viable as are the blacks together with the 3 blues or all 10.
