| import OAI.Geometry.CylinderCovering.Cartesian.CapsDefinitions | |
| namespace OAI | |
| noncomputable section | |
| namespace CylinderCovering.CartesianCaps | |
| def height (τ η y : ℝ) : ℝ := 1/2 + τ^2 * (D y + η) | |
| def domain (τ η b : ℝ) : Set (ℝ × ℝ) := | |
| {p | 0 ≤ p.2 ∧ p.2 ≤ b ∧ |p.1| ≤ p.2 ∧ p.2 ≤ height τ η p.1} | |
| def central (τ η : ℝ) : Set (ℝ × ℝ) := | |
| {p | p.1 ∈ Set.Icc (-1/2 : ℝ) (1/2) ∧ p.2 ∈ Set.Icc |p.1| (height τ η p.1)} | |
| end CylinderCovering.CartesianCaps | |
| end | |
| end OAI | |