Finite Geometry

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I show how to form the seven-point geometry, Fano's geometry, the star geometry, and the square geometry. I also discuss projective planes and affine planes.

Source: "College Geometry: A Unified Development" by David Kay

  1. Professor Heather Pierce
  2. math
  3. geometry
  4. model
  5. finite
  6. seven-point
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Комментарии
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around 1:00, adding a 7th line contradicts A1, and there was no contradiction to A2 originally (unless I'm missing something). However, Fano's Geometry does not not satisfy the original axioms given at the start, so the original axioms are not equivalent to the fano axioms, I would recommend sticking to the traditional ones, although they are a bit messier.

oakleypankratz
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Hello,
thanks for the mini-lecture.
A question: doesn't the line marked as example at 07:40 contains also the midle point of the bottom horizotal line? If so, it indeed intersects with both parallel lines.

rulekop