Inspiration from A. Square: Reaching Towards the Fourth Dimension
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Adapted from Edwin Abbot's book, Flatland: A romance of many dimensions (1884). Provides insights into dimensions of development as told through a geometrical analogy.
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Inspiration from A. Square: Reaching Towards the Fourth Dimension
- 1. A romance of many dimensions The Adventures of “A. Square”
- 2. HI! I’m A. Square.
- 3. I live in Flatland.
- 4. Flatland has 2 dimensions.
- 5. Flatland actually looks something more like this…
- 6. When A. Square looks around Flatland, this is what he sees… line of sight A. Square.
- 7. Circle I have many friends. Triangle Line
- 8. But to A. Square, his friends look like this… A. Square. Circle Triangle (with his point facing towards us) Line (from the side) Line (from the front) line of sight
- 9. So now that you’ve learned about A. Square and Flatland, Let’s learn about his adventures.
- 10. I’m Bored! One day, A. Square got bored… and decided to go on an Adventure.
- 11. Lineland
- 12. What’s this? Meet the inhabitants of Lineland
- 13. Lineland, unlike Flatland, only has one dimension. They only have two eyes. Line Line Line Line Line Line Each line has only ever known its immediate neighbor.
- 14. What’s up? A. Square’s visit to Lineland caused quite a disruption. Woah! Where’d you come from?
- 15. The residents of Lineland were very disturbed. Here I am! He just Where’s that disappeared! voice coming from?
- 16. Have you ever met someone from Lineland?
- 17. They view things in two dimensions.
- 20. Have you ever met someone from Lineland?
- 21. Pointland
- 22. What’s this? After Lineland, A. Square visited Pointland.
- 23. Hello. Hello? But the point didn’t hear him. Hello! HELLO! A. Square tried to introduce Himself…
- 24. Blah, blah, blah. Blah, blah, blah. Blah, blah, blah. Blah, blah, blah. Blah, blah, blah. The point was in its own world.
- 25. Have you ever met someone from Pointland?
- 26. They don’t recognize needs beyond their own?
- 27. They are the center of everything?
- 28. They’re oblivious to others.
- 29. Have you ever met someone from Pointland?
- 30. A. Square receives a visitor…
- 31. A. Square returned to Flatland and tried to explain his adventures. So they actually live in 2 dimensions! Dude! You’re crazy. But no one believed him.
- 32. A. Square left disillusioned.
- 33. Dejected, A. Square encountered his friend, Circle. But it wasn’t Circle. This is seriously messed up! This Circle could grow shrink and disappear
- 35. You see, this circle… was a SPHERE! Where’d that circle go?
- 36. This is really what A. Square saw… line of sight A. Square.
- 37. Perhaps there are more dimensions? How could my thinking be so “two dimensional?” This made A. Square think…
- 38. What would you do if you were A. Square?
- 39. Can you “see” the next dimension?
- 40. A 4th? A 5th? A 6th?
- 41. Can you think of a time that you “thought outside” of your dimension?
- 42. And that’s the story of A. Square.
- 43. What we can learn from A. Square… Pointland ● Expand your world ● Expose yourself to new perspectives ● Remember to think of how your actions impact others
- 44. What we can learn from A. Square… Lineland ● Decisions are complex… ● It’s more than black or white ● Can you find a third way?
- 45. What we can learn from A. Square… Encounter with the Sphere ● Look for the next dimension ● Add a new perspective ● Change can be scary
- 46. Thank you. Good Luck!