Re: [math-fun] Orthodiagonal quadrilaterals
Okay, second guess: Aren't those just the rhombi and kite-shapes? ----- Orthodiagonal Quadrilateral: A quadrilateral whose diagonals cross at right angles. -----
Nope and nope. Orthodiagonal quadrilaterals are very interesting . . . On Wed, Aug 26, 2020 at 2:54 PM Dan Asimov <dasimov@earthlink.net> wrote:
Okay, second guess:
Aren't those just the rhombi and kite-shapes?
----- Orthodiagonal Quadrilateral: A quadrilateral whose diagonals cross at right angles. -----
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On Wed, Aug 26, 2020 at 5:54 PM Dan Asimov <dasimov@earthlink.net> wrote:
Okay, second guess:
Aren't those just the rhombi and kite-shapes?
Both of these have some extra symmetry that orthodiagonal quadrilaterals don't need to have. Take for example (0,1), (2,0) (0, -3,) (-4, 0) whose diagonals are segments of the axes, intersecting perpendicularly at the origin, but has no symmetry. Andy
----- Orthodiagonal Quadrilateral: A quadrilateral whose diagonals cross at right angles. -----
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Start by drawing the diagonals, two arbitrary orthogonal line segments. -- Gene On Wednesday, August 26, 2020, 3:10:50 PM PDT, Andy Latto <andy.latto@pobox.com> wrote: On Wed, Aug 26, 2020 at 5:54 PM Dan Asimov <dasimov@earthlink.net> wrote:
Okay, second guess:
Aren't those just the rhombi and kite-shapes?
Both of these have some extra symmetry that orthodiagonal quadrilaterals don't need to have. Take for example (0,1), (2,0) (0, -3,) (-4, 0) whose diagonals are segments of the axes, intersecting perpendicularly at the origin, but has no symmetry. Andy
----- Orthodiagonal Quadrilateral: A quadrilateral whose diagonals cross at right angles. -----
participants (4)
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Andy Latto -
Dan Asimov -
Eugene Salamin -
Tomas Rokicki