GeekDad Puzzle of the Week – Ladybug Box Paths

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One of our neighbors moved last year, but still inadvertently selects their local (to me) address for the occasional Amazon purchase. This means that every so often we package up a few boxes for them and forward them on.

ladybug_story
NOTE: Drawing definitely NOT to scale.

During a recent repackaging, one of the larger boxes (32″ x 20″ x 10″) fell onto the floor, on it’s largest face so that it was only 10″ tall. It happened to fall directly in the path of a ladybug, landing such that she was at one of the corner edges of the box at floor-level.

This week’s GeekDad Puzzle of the Week is straightforward: If the ladybug wants to get to the opposite corner of the box (the corner at floor-level), what is her best path? Is there an “overbox” path that is shorter than a simple end-run? How long is this shortest path?

As always, please submit your answers in an email to GeekDad Central by the end of the week. All correct (or at least well-reasoned) answers will be put into a drawing for a $50 Gift Certificate from our fine feathered friends at ThinkGeek.

Happy puzzling!

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