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Cube Conundrum

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Jeneva Clark

The document describes a cube with points A and B located on opposite corners, and asks the reader to determine the shortest path between the points, justify their answer, and consider whether there are multiple equally short paths. It prompts the reader to think about the geometry of moving along the cube's surface from one corner to another.

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Cube Conundrum Unit One, Lesson One, Exploration One
from point A to point B Suppose a tiny bug desired to move along the surface of a cube from the top far corner (point A) to the near bottom corner (point B). A B
Is this the shortest path? If you agree that the shown path is the shortest, justify your answer. A If you disagree, describe the shortest path, and justify your answer. B
How many different paths? Is the shortest path that you found unique, or are there more possible paths A that are equally short? How many shortest paths are there? Why does this seem reasonable? B

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Cube Conundrum

  • 1. Cube Conundrum Unit One, Lesson One, Exploration One
  • 2. from point A to point B Suppose a tiny bug desired to move along the surface of a cube from the top far corner (point A) to the near bottom corner (point B). A B
  • 3. Is this the shortest path? If you agree that the shown path is the shortest, justify your answer. A If you disagree, describe the shortest path, and justify your answer. B
  • 4. How many different paths? Is the shortest path that you found unique, or are there more possible paths A that are equally short? How many shortest paths are there? Why does this seem reasonable? B