| import OAI.Geometry.CylinderCovering.Physical.Minimum | |
| namespace OAI | |
| namespace RadialPhysical.PhysicalMinimum | |
| theorem minimum_edge_one_model : CylinderCovering.Similarity.minimumArea (modelBody false (1/2)) = | |
| Real.sqrt 2 / 4 := by | |
| rw [minimum_modelBody false (by norm_num : (0:ℝ) < 1/2)] | |
| simp only [Bool.false_eq_true, ite_false, height] | |
| ring | |
| theorem minimum_unit_centered_model : CylinderCovering.Similarity.minimumArea (modelBody true 1) = | |
| 4 * Real.sqrt 2 := by | |
| rw [minimum_modelBody true (by norm_num : (0:ℝ) < 1)] | |
| simp [height] | |
| end RadialPhysical.PhysicalMinimum | |
| end OAI | |