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What (who) is (2,3,7) triangle group - definition

(2,3,7) triangle group

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.

https://en.wikipedia.org/wiki/(2,3,7)_triangle_group

equilateral

$An equilateral triangle. It has equal sides (<math>a = b = c</math>), equal angles (<math>\alpha = \beta =\gamma</math>), and equal altitudes (<math>h_a = h_b = h_c</math>).$

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.

https://en.wikipedia.org/wiki/Subclavian_triangle

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.

https://en.wikipedia.org/wiki/(2,3,7) triangle group