A Dotted Problem

Logic Level 3

What are the minimum number of lines required to connect all sixteen dots in a 4 × 4 4\times 4 pattern?

8 7 5 6

Achal Jain by Achal Jain , 19, India

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1 solution

Sabhrant Sachan
Jul 16, 2016

The points are represented from A - P . \text{The points are represented from A - P .}

Path : \large\text{Path : }

Move from A to P1 , P1 to P2 , P2 to E, E to H , H to P3 and finally from P3 to J \text{Move from A to P1 , P1 to P2 , P2 to E, E to H , H to P3 and finally from P3 to J }

Reverse will also work \text{Reverse will also work}

NOTE: \text{NOTE:}

I am not sure if we can do it in 5 lines \text{I am not sure if we can do it in 5 lines }

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The problem said nothing about the line have to form a path, so 4 separated lines is enough

Tran Hieu - 4 years, 11 months ago

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We have to connect all the dots

Sabhrant Sachan - 4 years, 11 months ago

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Then 4 separated horizontal lines and one vertical line to connect the other 4

Tran Hieu - 4 years, 11 months ago

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@Tran Hieu – but this will not connect all the dots

Sabhrant Sachan - 4 years, 11 months ago

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@Sabhrant Sachan – If by "connect" you mean every two dots have a path between them, then yes, my way will connect all the dots. Using your graphic, I have 4 vertical lines: A-D, E-H, I-L, M-P; and one horizontal line connect AEIM.

Tran Hieu - 4 years, 11 months ago

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