Crossword

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Across
  1. 5. Combining the Mobius strip with its reflection
  2. 7. Extending the rectangle proof to squares
  3. 9. Pairs of points on the loop are mapped to a 3D space
  4. 10. All possible pairs of points on the loop can be represented by a torus
Down
  1. 1. Unsolved problem asking if every closed continuous loop contains a square
  2. 2. Branch of mathematics dealing with shapes and their properties under continuous transformations
  3. 3. Topology is not just about strange shapes
  4. 4. Correspond to inscribed rectangles in the original loop
  5. 6. To account for unordered pairs
  6. 8. Proof focuses on finding two pairs of points with the same midpoint and distance