Brain Teasers
Line Drawings
We all know and love those drawing puzzles in which you have to draw a symbol without retracing or lifting your pencil. The quickest way to check if a symbol can be drawn with such restrictions is to count the vertices in which an odd number of line segments meet.
If there are more than three vertices in which this occurs, the symbol cannot be drawn.
Can a symbol have only one vertex in which this occurs?
If there are more than three vertices in which this occurs, the symbol cannot be drawn.
Can a symbol have only one vertex in which this occurs?
Hint
Odds and endsAnswer
It cannot.There must be an even amount of vertices in which this occurs, as these signify the ends of a line segment. It cannot have only one, as a line segment with one ending does not exist.
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