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YCor
YCor
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Tiling the Hyperbolichyperbolic plane by non-regular quadrilaterals

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Nandakumar R
Nandakumar R
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We add a bit to Which polygons tessellate the hyperbolic plane?.

Question: Are there hyperbolic quadrilaterals with all angles different (not necessarily irrational fractions of π) that tile the hyperbolic plane? What about quads with 3 of the angles equal and 1 different? If the answer to either question is "yes" one could ask for conditions under which tiling happens.

We add a bit to Which polygons tessellate the hyperbolic plane?.

Question: Are there hyperbolic quadrilaterals with all angles different (not necessarily irrational fractions of π) that tile the hyperbolic plane? What about quads with 3 of the angles equal and 1 different? If the answer to either question is "yes" one could ask for conditions under which tiling happens.

We add a bit to Which polygons tessellate the hyperbolic plane?.

Question: Are there hyperbolic quadrilaterals with all angles different (not necessarily irrational fractions of π) that tile the hyperbolic plane? What about quads with 3 of the angles equal and 1 different? If the answer to either question is "yes" one could ask for conditions under which tiling happens.

Source Link
Nandakumar R
Nandakumar R
  • 6k
  • 3
  • 7
  • 20

Tiling the Hyperbolic plane by non-regular quadrilaterals

We add a bit to Which polygons tessellate the hyperbolic plane?.

Question: Are there hyperbolic quadrilaterals with all angles different (not necessarily irrational fractions of π) that tile the hyperbolic plane? What about quads with 3 of the angles equal and 1 different? If the answer to either question is "yes" one could ask for conditions under which tiling happens.