diff --git a/client/src/backend/dto/mesh.ts b/client/src/backend/dto/mesh.ts
index 3407704..1e3e6c3 100644
--- a/client/src/backend/dto/mesh.ts
+++ b/client/src/backend/dto/mesh.ts
@@ -1,14 +1,15 @@
-import type { Face, Mesh, Solid, Surface, Vertex } from "../../types";
+import type { Edge, Face, HalfEdge, Mesh, Solid, Surface, Vertex } from "../../types";
 
 export type MeshDto = {
     vertices: Float32Array;
     normals: Float32Array
     indices: Uint16Array;
 
-    vertexIds: Vertex['id'][];
+    // vertexIds: Vertex['id'][];
     faceId: Face['id'];
     surfaceId: Surface['id'];
     solidId: Solid['id'];
+    loop: { edge: Edge['id'], halfEdge: HalfEdge['id'], vertex: Vertex['id'], vertex2: Vertex['id'] }[];
 };
 
 export function meshToDto(mesh: Mesh): MeshDto {
@@ -16,9 +17,10 @@ export function meshToDto(mesh: Mesh): MeshDto {
         vertices: new Float32Array(mesh.vertices.flat()),
         normals: new Float32Array(mesh.normals.flat()),
         indices: new Uint16Array(mesh.indices.flat()),
-        vertexIds: mesh.vertexIds,
+        // vertexIds: mesh.vertexIds,
         faceId: mesh.faceId,
         surfaceId: mesh.surfaceId,
         solidId: mesh.solidId,
+        loop: mesh.loop,
     };
 }
\ No newline at end of file
diff --git a/client/src/backend/geometry/planeTesselator.ts b/client/src/backend/geometry/planeTesselator.ts
index e92f531..9615aed 100644
--- a/client/src/backend/geometry/planeTesselator.ts
+++ b/client/src/backend/geometry/planeTesselator.ts
@@ -1,6 +1,6 @@
 import earcut from 'earcut';
 
-import type { Face, Mesh, V2, V3, Vertex } from "../../types";
+import type { Edge, Face, HalfEdge, Mesh, V2, V3, Vertex } from "../../types";
 import { db } from "../db";
 
 export type Basis3D = { origin: V3; u: V3; v: V3; normal: V3; };
@@ -48,7 +48,10 @@ function getNormal(vertices: V3[]): V3 {
 export class PlaneTessellator {
     public static tessellate(face: Face): Omit<Mesh, 'faceId' | 'surfaceId' | 'solidId'>[] {
 
-        const vertices3d = PlaneTessellator.getVerticesByLoop(face.outerLoop);
+        const loop = PlaneTessellator.getLoop(face.outerLoop);
+        const loopWithV2s = loop.map((v, idx) => ({ ...v, vertex2: loop[(idx + 1) % loop.length].vertex }));
+
+        const vertices3d = loop.map((v) => v.vertex);
 
         const basis = PlaneTessellator.getBasis(vertices3d);
         const vertices2d = PlaneTessellator.projectVertices(vertices3d, basis);
@@ -60,11 +63,12 @@ export class PlaneTessellator {
             vertices: vertices3d.map((v) => [v.x, v.y, v.z]),
             normals: vertices3d.map(() => basis.normal),
             indices,
-            vertexIds: vertices3d.map((v) => v.id),
+            // vertexIds: vertices3d.map((v) => v.id),
+            loop: loopWithV2s.map((v) => ({ halfEdge: v.halfEdge.id, edge: v.edge.id, vertex: v.vertex.id, vertex2: v.vertex2.id })),
         }];
     }
 
-    private static getVerticesByLoop(loopId: string): Vertex[] {
+    private static getLoop(loopId: string): { halfEdge: HalfEdge, edge: Edge, vertex: Vertex }[] {
         const halfEdges = db.halfEdgesByLoop(loopId)
             .map((he) => ({
                 halfedge: he,
@@ -74,7 +78,11 @@ export class PlaneTessellator {
             throw new Error(`Loop ${loopId}: only linear half-edges are supported for plane tesselation`);
 
         return halfEdges
-            .map((he) => db.vertexById(he.halfedge.origin)!);
+            .map((halfEdge, idx) => ({
+                halfEdge: halfEdge.halfedge,
+                edge: halfEdge.edge,
+                vertex: db.vertexById(halfEdge.halfedge.origin)!,
+            }));
     }
 
     public static projectVertices(vertices: Vertex[], basis: Basis3D): V2[] {
diff --git a/client/src/helpers/circularFrustumIntersect.ts b/client/src/helpers/circularFrustumIntersect.ts
index cfdff46..c469618 100644
--- a/client/src/helpers/circularFrustumIntersect.ts
+++ b/client/src/helpers/circularFrustumIntersect.ts
@@ -2,6 +2,7 @@ import * as THREE from 'three';
 import { CONTAINED, ExtendedTriangle, INTERSECTED, NOT_INTERSECTED } from 'three-mesh-bvh';
 import { CircularFrustum } from './circularFrustum';
 import type { Id } from '../types';
+import type { MeshDto } from '../backend/dto';
 
 export type TriangleVertexHitDetail = {
     kind: 'vertex',
@@ -11,7 +12,8 @@ export type TriangleVertexHitDetail = {
 export type TriangleEdgeHitDetail = {
     kind: 'edge',
     index: 0 | 1 | 2, // edge 0=AB, 1=BC, 2=CA
-    id?: Id,
+    aId?: Id,
+    bId?: Id,
 }
 export type TriangleFaceHitDetail = {
     kind: 'face',
@@ -113,9 +115,9 @@ function classifyTriangleHit(
     const onBC = u < BARYCENTRIC_EPSILON;
     const onCA = v < BARYCENTRIC_EPSILON;
 
-    if (onAB) return { kind: 'edge', index: 0, id: `${vertexIds?.[0]}-${vertexIds?.[1]}` };
-    if (onBC) return { kind: 'edge', index: 1, id: `${vertexIds?.[1]}-${vertexIds?.[2]}` };
-    if (onCA) return { kind: 'edge', index: 2, id: `${vertexIds?.[2]}-${vertexIds?.[0]}` };
+    if (onAB) return { kind: 'edge', index: 0, aId: vertexIds?.[0], bId: vertexIds?.[1] };
+    if (onBC) return { kind: 'edge', index: 1, aId: vertexIds?.[1], bId: vertexIds?.[2] };
+    if (onCA) return { kind: 'edge', index: 2, aId: vertexIds?.[2], bId: vertexIds?.[0] };
 
     return { kind: 'face' };
 }
@@ -380,7 +382,9 @@ export class CircularFrustumIntersection {
     }
 
     private intersectionToHitResult(intersection: Intersection): HitResult[] {
-        const faceId = intersection.object.userData.faceId;
+        const userData = intersection.object.userData as MeshDto;
+        const faceId = userData.faceId;
+        const loop = userData.loop;
 
         const results: HitResult[] = [{
             kind: 'face',
@@ -392,15 +396,18 @@ export class CircularFrustumIntersection {
             },
         }];
         if (intersection.triHit?.kind === 'edge') {
-            results.unshift({
-                kind: 'edge',
-                id: intersection.triHit?.id,
-                faceId,
-                intersection: {
-                    ...intersection,
-                    triHit: undefined,
-                },
-            });
+            const triHit = intersection.triHit;
+            const edge = loop.find((v) => (v.vertex === triHit.aId) && (v.vertex2 === triHit.bId))?.edge;
+            if (edge !== undefined)
+                results.unshift({
+                    kind: 'edge',
+                    id: edge,
+                    faceId,
+                    intersection: {
+                        ...intersection,
+                        triHit: undefined,
+                    },
+                });
         }
         if (intersection.triHit?.kind === 'vertex') {
             results.unshift({
diff --git a/client/src/layers/sceneSync.ts b/client/src/layers/sceneSync.ts
index 7c3810f..b07ff68 100644
--- a/client/src/layers/sceneSync.ts
+++ b/client/src/layers/sceneSync.ts
@@ -16,6 +16,7 @@ export class SceneSync {
         side: THREE.DoubleSide,
         transparent: true,
         depthWrite: false,
+        wireframe: true,
         uniforms: {
             frontColor: { value: new THREE.Color(0x88ccff) },
             frontOpacity: { value: 0.6 },
@@ -90,10 +91,8 @@ export class SceneSync {
         const geoVCount = geo.attributes.position.count;
         geo.setAttribute('selected', new THREE.BufferAttribute(new Float32Array(geoVCount), 1));
         const mesh = new THREE.Mesh(geo, this.baseMaterial);
-        mesh.userData.faceId = faceId;
-        mesh.userData.vertexIds = dto.vertexIds;
-        mesh.userData.surfaceId = dto.surfaceId;
-        mesh.userData.solidId = dto.solidId;
+        mesh.userData = dto
+        mesh.userData.vertexIds = dto.loop.map((v) => v.vertex);
 
         this.scene.add(mesh);
         this.meshByFace[faceId] = mesh;
diff --git a/client/src/model/model.ts b/client/src/model/model.ts
index 2023f5a..885d2ee 100644
--- a/client/src/model/model.ts
+++ b/client/src/model/model.ts
@@ -54,6 +54,14 @@ export class Model {
         return this.halfEdges[id];
     }
 
+    public halfEdgesByFilter(filter: (halfEdge: HalfEdge) => boolean): HalfEdge[] {
+        return Object.values(this.halfEdges).filter(filter);
+    }
+
+    public halfEdgesByVertexId(id: Vertex['id']): HalfEdge[] {
+        return this.halfEdgesByFilter((he) => he.origin === id);
+    }
+
     public halfEdgesByLoop(loopId: string): HalfEdge[] {
         const loop = this.loopById(loopId)!;
         const startHalfEdgeId = loop.start;
@@ -76,6 +84,10 @@ export class Model {
         return this.edges[id];
     }
 
+    public edgesByFilter(filter: (edge: Edge) => boolean): Edge[] {
+        return Object.values(this.edges).filter(filter);
+    }
+
     public loopById(id: Loop['id']): Loop | undefined {
         return this.loops[id];
     }
@@ -91,6 +103,19 @@ export class Model {
     public solidById(id: Solid['id']): Solid | undefined {
         return this.solids[id];
     }
+
+    public edgesByVertexIds(a: Vertex['id'], b: Vertex['id'], belongsToFaceId?: Face['id']): Edge[] {
+        let hesA = this.halfEdgesByVertexId(a);
+        let hesB = this.halfEdgesByVertexId(b);
+
+        const edges = this.edgesByFilter((e) => (
+            (e.a ? hesA.some((he) => he.id === a) : true) && (e.b ? hesB.some((he) => he.id === b) : true)
+            ||
+            (e.a ? hesB.some((he) => he.id === a) : true) && (e.b ? hesA.some((he) => he.id === b) : true)
+        ));
+
+        return edges;
+    }
 }
 
 export const model = new Model();
diff --git a/client/src/types/geometry.ts b/client/src/types/geometry.ts
index c1bdebe..60c32a5 100644
--- a/client/src/types/geometry.ts
+++ b/client/src/types/geometry.ts
@@ -1,16 +1,15 @@
-import type { Face, Solid, Surface, Vertex } from "./brep";
+import type { Edge, Face, HalfEdge, Solid, Surface, Vertex } from "./brep";
 
 export type V2 = [x: number, y: number];
 export type V3 = [x: number, y: number, z: number];
-// export type V3 = [number, number, number];
 
 export type Mesh = {
     vertices: V3[];
     normals: V3[];
     indices: number[];
 
-    vertexIds: Vertex['id'][];
     faceId: Face['id'];
     surfaceId: Surface['id'];
     solidId: Solid['id'];
+    loop: { edge: Edge['id'], halfEdge: HalfEdge['id'], vertex: Vertex['id'] }[];
 };