What is Daina Taimina known for?

What is Daina Taimina known for?

Daina Taimiņa (born August 19, 1954) is a Latvian mathematician, retired adjunct associate professor of mathematics at Cornell University, known for discovering a groundbreaking way of modelling hyperbolic planes by crocheting objects to illustrate hyperbolic space and innovative use of them teaching geometry.

What field of mathematics did Daina Taimina study?

In 1997, Daina Taimina, a Latvian born and educated mathematician participating in a workshop on teaching geometry, came up with the idea of crocheting a surface to represent a hyperbolic plane. A hyperbolic plane is different from the Euclidean plane studied in high school geometry.

What is a line in hyperbolic geometry?

The hyperbolic lines, in the Poincaré’s Half-Plane Model, are the semicircumferences centered at a point of the boundary line and arbitrary radius and the euclidian lines perpendicular to the boundary line.

Does every hyperbolic triangle have a circumscribed circle?

Hyperbolic triangles have some properties that are analogous to those of triangles in Euclidean geometry: Each hyperbolic triangle has an inscribed circle but not every hyperbolic triangle has a circumscribed circle (see below).

Do parallel lines exist in hyperbolic geometry?

In hyperbolic geometry, through a point not on a given line there are at least two lines parallel to the given line. In Euclidean geometry, for example, two parallel lines are taken to be everywhere equidistant. In hyperbolic geometry, two parallel lines are taken to converge in one direction and diverge in the other.

Is there a bottom to space?

The Bottom of the Universe. The universe has a bottom. That bottom extends infinitely outward and has an infinite sky above it, with an infinite number of stars and galaxies. The bottom is remarkably terrestrial, with gravity, mountains, lakes, forests, and sunshine, each of which deserves additional discussion.

Is it possible to have a triangle in hyperbolic geometry with 2 obtuse angles?

No, they can never have 2 obtuse angles. The angle sum of triangle is 180. Obtuse angles are angles between 90 and 180 degrees. If you add two of them together, their sum will be larger than 180 already.

What is Omega triangle?

Omega Triangles. Def: All the lines that are parallel to a given line in the same direction are said to intersect in an omega point (ideal point). Def: The three sided figure formed by two parallel lines and a line segment meeting both is called an Omega triangle.