File size: 670 Bytes
785c727 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 | import OAI.Geometry.CylinderCovering.Convexity.GlobalDefinitions
namespace OAI
noncomputable section
namespace CylinderCovering
def RegularExplicitAngularStatement : Prop :=
∀ K : Set Space, IsRegularTetrahedron K →
∀ ε : ℝ, 0 < ε → ε ≤ 1 / 2000 →
∃ C : Fin (2 * TriangularCovering.n ε) → TriangularCovering.TriCylinder,
triangularCovers K C ∧
|TriangularCovering.totalArea C / minimumShadowArea K -
(1 / 2 - (13 / 6000 : ℝ) * ε ^ 2)| ≤ 2 * ε ^ 4 ∧
TriangularCovering.totalArea C < minimumShadowArea K / 2 ∧
triangularRelativeCost K C < 1 / 2
end CylinderCovering
end
end OAI
|