diff --git a/src/bin/flat/main.rs b/src/bin/flat/main.rs
index c4f2a7b..6759c31 100644
--- a/src/bin/flat/main.rs
+++ b/src/bin/flat/main.rs
@@ -39,14 +39,15 @@ pub fn main() {
 			let objs: Vec<_> = [-1.25, -1.00, -0.85, -0.50, 0.00, 0.40, 0.70, 0.95, 1.05]
 				.iter()
 				.enumerate()
-				.map(|(k, y)| Object {
+				.map(|(k, &y)| Object {
 					id: k as i32,
 					loc: {
 						let pos = vec2(0.0, y * tube.external_halflength);
-						let adj = tube.sqrt_at(pos).inverse().into();
+						let adj: Mat2 = tube.sqrt_at(pos).inverse().into();
+						let rot = Mat2::from_angle(y);
 						Location {
 							pos,
-							rot: adj,
+							rot: adj * rot,
 						}
 					},
 					r: 20.0,
@@ -135,6 +136,11 @@ struct Hit {
 	rel: Vec2, // положение в локальной ортонормированной СК объекта
 }
 
+struct HitInternal<'a> {
+	object: &'a Object,
+	distance: f32,
+}
+
 struct FlatTraceResult {
 	end: Option<Ray>,
 	objects: Vec<Hit>,
@@ -186,13 +192,17 @@ impl Space {
 		assert_eq!(self.which_subspace(ray.pos), Inner);
 		let cell = RectInside { rect: self.rect };
 		let ray = cell.ray_to_local(ray);
-		let objs = Self::trace_to_objects(self.list_objects_inner().as_slice(), ray);
+		let objs = self.list_objects_inner();
+		let hits = Self::trace_to_objects(objs.as_slice(), ray);
 		let dist = cell.to_boundary(ray).expect("Can't get outta here!");
-		let ray = ray.forward(dist);
 		FlatTraceResult {
-			end: Some(cell.ray_to_global(ray)),
-			objects: objs.into_iter().filter_map(|Hit { id, distance, pos, rel }|
-				if distance < dist { Some(Hit { id, distance, pos: cell.pos_to_global(pos), rel }) } else { None }
+			end: Some(cell.ray_to_global(ray.forward(dist))),
+			objects: hits.into_iter().filter_map(|HitInternal { object, distance }|
+				if distance < dist {
+					let pos = ray.forward(distance).pos;
+					let rel = object.loc.rot.inverse() * cell.ray_to_global(Ray { pos: object.loc.pos, dir: pos - object.loc.pos }).dir;
+					Some(Hit { id: object.id, distance, pos: cell.pos_to_global(pos), rel })
+				} else { None }
 			).collect(),
 		}
 	}
@@ -200,16 +210,27 @@ impl Space {
 	fn trace_outer(&self, ray: Ray) -> FlatTraceResult {
 		assert_eq!(self.which_subspace(ray.pos), Outer);
 		let cell = basic_shapes::Rect { size: vec2(self.rect.outer_radius, self.rect.external_halflength) };
-		let objs = Self::trace_to_objects(self.list_objects_outer().as_slice(), ray);
+		let objs = self.list_objects_outer();
+		let hits = Self::trace_to_objects(objs.as_slice(), ray);
 		if let Some(dist) = cell.trace_into(ray) {
 			FlatTraceResult {
 				end: Some(ray.forward(dist)),
-				objects: objs.into_iter().filter(|hit| hit.distance < dist).collect(),
+				objects: hits.into_iter().filter_map(|HitInternal { object, distance }|
+					if distance < dist {
+						let pos = ray.forward(distance).pos;
+						let rel = object.loc.rot.inverse() * (pos - object.loc.pos);
+						Some(Hit { id: object.id, distance, pos, rel })
+					} else { None }
+				).collect(),
 			}
 		} else {
 			FlatTraceResult {
 				end: None,
-				objects: objs,
+				objects: hits.into_iter().map(|HitInternal { object, distance }| {
+					let pos = ray.forward(distance).pos;
+					let rel = object.loc.rot.inverse() * (pos - object.loc.pos);
+					Hit { id: object.id, distance, pos, rel }
+				}).collect(),
 			}
 		}
 	}
@@ -228,11 +249,13 @@ impl Space {
 				Inner => {
 					let Vec2 { x, y } = obj.loc.pos; // в основной СК
 					let y = self.rect.u(y) + y.signum() * (self.rect.external_halflength - self.rect.internal_halflength);
+					let dy = self.rect.du(y, 1.0);
+					let m = Mat2::from_cols_array(&[1.0, 0.0, 0.0, dy]);
 					Object {
 						id: obj.id,
 						loc: Location {
 							pos: vec2(x, y), // в плоском продолжении СК Outer на область Inner
-							rot: obj.loc.rot,
+							rot: m * obj.loc.rot,
 						},
 						r: obj.r,
 					}
@@ -262,7 +285,7 @@ impl Space {
 		}).collect()
 	}
 
-	fn trace_to_objects(objs: &[Object], ray: Ray) -> Vec<Hit> {
+	fn trace_to_objects(objs: &[Object], ray: Ray) -> Vec<HitInternal> {
 		objs.iter()
 			.filter_map(|obj| {
 				let rel = ray.pos - obj.loc.pos;
@@ -271,7 +294,7 @@ impl Space {
 					let t = (-rel.dot(ray.dir) - diff.sqrt()) / ray.dir.length_squared();
 					if t >= 0.0 {
 						let pos = ray.forward(t).pos;
-						return Some(Hit { id: obj.id, distance: t, pos, rel: pos - obj.loc.pos });
+						return Some(HitInternal { object: &obj, distance: t });
 					}
 				}
 				None