(2,3,7) triangle group - definizione. Che cos'è (2,3,7) triangle group
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Cosa (chi) è (2,3,7) triangle group - definizione


(2,3,7) triangle group         
  • Visualization of the map (2,3,∞) → (2,3,7) by morphing the associated tilings.<ref name="westendorp">[http://www.xs4all.nl/~westy31/Geometry/Geometry.html#Modular Platonic tilings of Riemann surfaces: The Modular Group], [http://www.xs4all.nl/~westy31/ Gerard Westendorp]</ref>
TRIANGLE GROUP IN THE THEORY OF RIEMANN SURFACES AND HYPERBOLIC GEOMETRY
In the theory of Riemann surfaces and hyperbolic geometry, the triangle group (2,3,7) is particularly important. This importance stems from its connection to Hurwitz surfaces, namely Riemann surfaces of genus g with the largest possible order, 84(g − 1), of its automorphism group.
equilateral         
  • An equilateral triangle. It has equal sides (<math>a = b = c</math>), equal angles (<math>\alpha = \beta =\gamma</math>), and equal altitudes (<math>h_a = h_b = h_c</math>).
  • Construction of equilateral triangle with compass and straightedge
  • 3}}/2}}.
  • The equilateral triangle tiling fills the plane.
  • A regular tetrahedron is made of four equilateral triangles.
GEOMETRIC SHAPE WITH THREE SIDES OF EQUAL LENGTH
Equilateral triangles; Equalangular triangle; Equiangular triangle; Equilateral Triangles; Equilateral Triangle; Regular Triangle; Regular triangle; Equalateral triangle; Equilateral; Isopleuron
[?i:kw?'lat(?)r(?)l, ??kw?-]
¦ adjective having all its sides of the same length.
Origin
C16: from Fr. equilateral or late L. aequilateralis, from aequilaterus 'equal-sided' (based on L. latus, later- 'side').
Subclavian triangle         
SMALLER DIVISION OF THE POSTERIOR TRIANGLE
Omoclavicular triangle; Supraclavicular triangle
The subclavian triangle (or supraclavicular triangle, omoclavicular triangle, Ho's triangle), the smaller division of the posterior triangle, is bounded, above, by the inferior belly of the omohyoideus; below, by the clavicle; its base is formed by the posterior border of the sternocleidomastoideus.

Wikipedia

(2,3,7) triangle group
In the theory of Riemann surfaces and hyperbolic geometry, the triangle group (2,3,7) is particularly important. This importance stems from its connection to Hurwitz surfaces, namely Riemann surfaces of genus g with the largest possible order, 84(g − 1), of its automorphism group.