In trigonometry, a skinny triangle[citation needed] is a triangle whose height is much greater than its base. The solution of such triangles can be greatly simplified by using the approximation that the sine of a small angle is equal to that angle in radians.

Nov 19, 2014 · A geodesic triangle is called δ δ - thin if for all points u, v ∈ Δ(x, y, z) u, v ∈ Δ (x, y, z), φ(u) = φ(v) φ (u) = φ (v) implies d(u, v) ≤ δ d (u, v) ≤ δ. The slimness sl(X) s l (X) (thinness th(X) t h (X)) of a metric space X X is the minimum δ δ such that any geodesic triangle of X X is δ δ -slim (δ δ -thin).

Long thin triangles cause quad overdraw. You can never totally avoid this but knowing this is a thing can help you make more informed decisions when it comes to compartmentalizing dense clusters of vertices whose edges might otherwise have to …

A triangle is a polygon with three sides. They are classified based on the measure of side lengths and angle measures. Learn about each type in detail.

In hyperbolic geometry an ideal triangle is a hyperbolic triangle whose three vertices all are ideal points. Ideal triangles are also sometimes called triply asymptotic triangles or trebly asymptotic triangles.

In hyperbolic geometry, a hyperbolic triangle is a triangle in the hyperbolic plane. It consists of three line segments called sides or edges and three points called angles or vertices.

Given > 0 a triangle is called -thin if for each edge, every point on that edge is within a distance of at most from at least one point on the union of the other two edges.

My textbook states that all triangles in hyperbolic space are uniformly thin in the following way: If ABC A B C is a triangle and x x is a point on one side, then there exists a point y y on one of the other two sides such that d(x, y) ≤ ln(1 + 2–√) d (x, y) ≤ ln (1 + 2).

Aug 13, 2020 · A geodesic quadrilateral is 2δ -thin if the 2δ -neighborhood of the union of any three sides covers the fourth side. Basically the same as the thin triangle condition.

Just to clarify here - long thin triangles are always more expensive to draw than ones with equal length sides (as far as I'm aware) due to pixel shader overdraw when shading the edges of the triangle (aka Quad overshading).