diff --git a/crates/engine/src/lib.rs b/crates/engine/src/lib.rs
--- a/crates/engine/src/lib.rs
+++ b/crates/engine/src/lib.rs
@@ -1313,7 +1313,9 @@ impl Session {
 /// (renamed / regrouped / added parameters, reordered popups; see
 /// [`effectcraft_effects::migrate`]), and a project from before
 /// [`effectcraft_project::SCHEMA_EFFECT_SPACE`] into effect space
-/// ([`effectcraft_effects::migrate::to_effect_space`]). Stamps the current schema.
+/// ([`effectcraft_effects::migrate::to_effect_space`]). Shape path operations get the
+/// properties added since ([`effectcraft_project::build::upgrade_shape_contents`]). Stamps the
+/// current schema.
 pub fn upgrade_effects(p: &mut Project) {
     let to_effect_space = p.schema < effectcraft_project::SCHEMA_EFFECT_SPACE;
     // Effect bounds per layer: (size, top-left in layer coordinates).
@@ -1336,6 +1338,9 @@ pub fn upgrade_effects(p: &mut Project) {
                 Some(id) => bounds.get(&(*cid, effectcraft_project::LayerId(id))).map_or([0.0; 2], |b| shift(b.1)),
                 None => d,
             };
+            if let Some(contents) = l.props.sub_mut("contents") {
+                effectcraft_project::build::upgrade_shape_contents(&mut effectcraft_project::build::Ids(&mut next), contents);
+            }
             let Some(fx) = l.props.sub_mut("effects") else { continue };
             for n in &mut fx.children {
                 let effectcraft_project::Node::Group(g) = n else { continue };
diff --git a/crates/engine/src/tests.rs b/crates/engine/src/tests.rs
--- a/crates/engine/src/tests.rs
+++ b/crates/engine/src/tests.rs
@@ -280,6 +280,31 @@ fn toolbar_fill_and_stroke_paint_selected_shape_layers() {
     let _ = s.render(cid, s.time(), Default::default());
 }
 
+/// A Wiggle Paths saved without Spatial Phase gets the property, at 0°, after Temporal Phase when
+/// the project opens.
+#[test]
+fn opening_a_wiggle_paths_without_spatial_phase_adds_it() {
+    let mut s = Session::default();
+    s.execute("comp.new", json!({"width": 400, "height": 300, "duration": 2})).unwrap();
+    let sh = s.execute("layer.newShape", json!({"kind": "rect", "fill": "#ff0000"})).unwrap()["layer"].as_u64().unwrap();
+    let uid = s.execute("layer.addShapeItem", json!({"layer": sh, "kind": "wiggle"})).unwrap()["uid"].as_u64().unwrap();
+    let cid = s.active_comp_id().unwrap();
+    let mut old = effectcraft_project::Project::from_json(&s.project.to_file_json().unwrap()).unwrap();
+    let l = old.comp_mut(cid).unwrap().layer_mut(effectcraft_project::LayerId(sh)).unwrap();
+    let g = l.props.find_group_mut(uid).unwrap();
+    g.children.retain(|c| c.match_id() != "spatialPhase");
+    assert_eq!(g.children.len(), 7);
+    let next = old.next_id;
+    s.replace_project(old, None);
+    let l = s.active_comp().unwrap().layer(effectcraft_project::LayerId(sh)).unwrap().clone();
+    let g = l.props.find_group(uid).unwrap();
+    let ids: Vec<&str> = g.children.iter().map(|c| c.match_id()).collect();
+    assert_eq!(ids, ["size", "detail", "points", "speed", "correlation", "phase", "spatialPhase", "seed"]);
+    let sp = g.get("spatialPhase").unwrap();
+    assert_eq!((sp.name.as_str(), &sp.value), ("Spatial Phase", &effectcraft_keyframe::Value::Scalar(0.0)));
+    assert!(sp.uid >= next && s.project.next_id > sp.uid, "a fresh uid: {} (next {next})", sp.uid);
+}
+
 /// The toolbar's Fill Options / Stroke Options change a selected shape layer's paint kind (#732):
 /// None switches the fill off, a gradient turns the Fill into a Gradient Fill that keeps its
 /// opacity, Solid Color turns it back, and a Stroke kind adds a stroke where there is none.
diff --git a/crates/path/src/ops.rs b/crates/path/src/ops.rs
--- a/crates/path/src/ops.rs
+++ b/crates/path/src/ops.rs
@@ -533,12 +533,15 @@ pub struct WiggleParams {
     pub correlation: f64,
     /// Temporal phase in degrees (360° = one wiggle period).
     pub phase_deg: f64,
+    /// Spatial phase in degrees: slides each subpath's pattern of displacements along its points
+    /// (360° = once around the subpath).
+    pub spatial_phase_deg: f64,
     pub seed: f64,
 }
 
 impl Default for WiggleParams {
     fn default() -> Self {
-        WiggleParams { size: 10.0, detail: 10.0, smooth: true, speed: 2.0, correlation: 50.0, phase_deg: 0.0, seed: 0.0 }
+        WiggleParams { size: 10.0, detail: 10.0, smooth: true, speed: 2.0, correlation: 50.0, phase_deg: 0.0, spatial_phase_deg: 0.0, seed: 0.0 }
     }
 }
 
@@ -568,9 +571,16 @@ fn noise(seed: u64, idx: u64, t: f64) -> f64 {
     v.clamp(-1.0, 1.0)
 }
 
+/// Catmull-Rom interpolation between `p1` (f = 0) and `p2` (f = 1).
+fn catmull_rom(p0: f64, p1: f64, p2: f64, p3: f64, f: f64) -> f64 {
+    0.5 * (2.0 * p1 + (-p0 + p2) * f + (2.0 * p0 - 5.0 * p1 + 4.0 * p2 - p3) * f * f + (-p0 + 3.0 * p1 - 3.0 * p2 + p3) * f * f * f)
+}
+
 /// Wiggle Paths: subdivides the paths (`detail` points per segment) and displaces every point by
 /// smooth random noise of up to `size` pixels that evolves over `time_s` seconds at `speed`
-/// wiggles per second. Deterministic for a given seed and time.
+/// wiggles per second. The spatial phase moves each point's own share of the noise along the
+/// subpath, and a fraction of a point is interpolated between its neighbors. Deterministic for a
+/// given seed and time.
 pub fn wiggle(paths: &[BezPath], w: &WiggleParams, time_s: f64) -> Vec<BezPath> {
     if w.size == 0.0 {
         return paths.to_vec();
@@ -580,6 +590,7 @@ pub fn wiggle(paths: &[BezPath], w: &WiggleParams, time_s: f64) -> Vec<BezPath>
     let t = time_s * w.speed + w.phase_deg / 360.0;
     let corr = (w.correlation / 100.0).clamp(0.0, 1.0);
     let shared = Vec2::new(noise(seed, u64::MAX, t), noise(seed, u64::MAX - 1, t));
+    let turns = if w.spatial_phase_deg.is_finite() { (w.spatial_phase_deg / 360.0).rem_euclid(1.0) } else { 0.0 };
     let mut idx: u64 = 0;
     paths
         .iter()
@@ -587,14 +598,28 @@ pub fn wiggle(paths: &[BezPath], w: &WiggleParams, time_s: f64) -> Vec<BezPath>
             let mut out = BezPath::new();
             for sub in subs(p) {
                 let s = resample(&sub, m);
-                let disp: Vec<Vec2> = s
-                    .iter()
-                    .map(|_| {
-                        let own = Vec2::new(noise(seed, idx * 2, t + idx as f64 * 0.37), noise(seed, idx * 2 + 1, t + idx as f64 * 0.61));
-                        idx += 1;
-                        (shared * corr + own * (1.0 - corr)) * w.size
-                    })
-                    .collect();
+                let n = s.len();
+                let first = idx;
+                let own = |j: usize| {
+                    let i = first + j as u64;
+                    Vec2::new(noise(seed, i * 2, t + i as f64 * 0.37), noise(seed, i * 2 + 1, t + i as f64 * 0.61))
+                };
+                let along = |j: usize| {
+                    if turns == 0.0 {
+                        return own(j);
+                    }
+                    let u = (j as f64 + turns * n as f64).rem_euclid(n as f64);
+                    let k = u.floor();
+                    let f = u - k;
+                    let k = k as usize % n;
+                    if f == 0.0 {
+                        return own(k);
+                    }
+                    let (p0, p1, p2, p3) = (own((k + n - 1) % n), own(k), own((k + 1) % n), own((k + 2) % n));
+                    Vec2::new(catmull_rom(p0.x, p1.x, p2.x, p3.x, f).clamp(-1.0, 1.0), catmull_rom(p0.y, p1.y, p2.y, p3.y, f).clamp(-1.0, 1.0))
+                };
+                let disp: Vec<Vec2> = (0..n).map(|j| (shared * corr + along(j) * (1.0 - corr)) * w.size).collect();
+                idx += n as u64;
                 emit(&s, &disp, sub.closed, w.smooth, 1.0 / 3.0, &mut out);
             }
             out
diff --git a/crates/path/src/ops/tests.rs b/crates/path/src/ops/tests.rs
--- a/crates/path/src/ops/tests.rs
+++ b/crates/path/src/ops/tests.rs
@@ -317,6 +317,38 @@ fn wiggle_full_correlation_translates() {
     assert_eq!(zero[0], s[0]);
 }
 
+/// Spatial Phase moves the pattern of displacements along the path: 360° is once around, and a
+/// whole number of points' worth gives each point the displacement of the point that far ahead.
+#[test]
+fn wiggle_spatial_phase_moves_the_pattern_along_the_path() {
+    let s = [sq(0.0, 0.0, 100.0)];
+    let w = WiggleParams { detail: 3.0, correlation: 0.0, smooth: false, ..Default::default() };
+    // Displacements are proportional to Size: twice the size less once the size.
+    let disp = |w: WiggleParams| -> Vec<Vec2> {
+        let a = on_curve(&wiggle(&s, &w, 0.4)[0]);
+        let b = on_curve(&wiggle(&s, &WiggleParams { size: w.size * 2.0, ..w }, 0.4)[0]);
+        a.iter().zip(&b).map(|(a, b)| *b - *a).take(16).collect()
+    };
+    let d0 = disp(w);
+    let n = d0.len();
+    assert_eq!(n, 16);
+    for k in [1, 5] {
+        let dk = disp(WiggleParams { spatial_phase_deg: 360.0 * k as f64 / n as f64, ..w });
+        for j in 0..n {
+            let e = d0[(j + k) % n];
+            assert!(close(dk[j].x, e.x, 1e-9) && close(dk[j].y, e.y, 1e-9), "{k} ahead, point {j}: {:?} vs {e:?}", dk[j]);
+        }
+    }
+    // Whole turns either way leave the path as it is.
+    let base = wiggle(&s, &w, 0.4);
+    assert_eq!(wiggle(&s, &WiggleParams { spatial_phase_deg: 360.0, ..w }, 0.4), base);
+    assert_eq!(wiggle(&s, &WiggleParams { spatial_phase_deg: -720.0, ..w }, 0.4), base);
+    // Half a point ahead, the displacements change and stay within Size.
+    let half = disp(WiggleParams { spatial_phase_deg: 180.0 / n as f64, ..w });
+    assert!(half.iter().zip(&d0).any(|(h, d)| (*h - *d).hypot() > 1e-3));
+    assert!(half.iter().all(|h| h.x.abs() <= 10.0 + 1e-9 && h.y.abs() <= 10.0 + 1e-9));
+}
+
 // ---------------------------------------------------------------- merge / booleans
 
 fn inclusion_exclusion(a: BezPath, b: BezPath) {
diff --git a/crates/project/src/build.rs b/crates/project/src/build.rs
--- a/crates/project/src/build.rs
+++ b/crates/project/src/build.rs
@@ -4,7 +4,7 @@ use effectcraft_color::{BlendMode, Label};
 use effectcraft_keyframe::{Gradient, ShapePath, TextDoc, Value};
 use effectcraft_time::Tick;
 
-use crate::props::{GroupKind, MaskMode, ParamUi, PropGroup, Property};
+use crate::props::{GroupKind, MaskMode, Node, ParamUi, PropGroup, Property};
 use crate::{Comp, Layer, LayerId, LayerSource, LightKind, Project, Switches};
 
 /// Id allocator borrowing the project's counter.
@@ -594,6 +594,7 @@ pub fn shape_simple_op(ids: &mut Ids, kind: &str) -> Option<PropGroup> {
             .with(ids.prop("speed", "Wiggles/Second", Value::Scalar(2.0)))
             .with(ids.prop("correlation", "Correlation", Value::Scalar(50.0)).with_ui(ParamUi::Percent))
             .with(ids.prop("phase", "Temporal Phase", Value::Scalar(0.0)).with_ui(ParamUi::Angle))
+            .with(wiggle_spatial_phase(ids))
             .with(ids.prop("seed", "Random Seed", Value::Scalar(0.0))),
         "merge" => indexed(ids.group("merge", "Merge Paths 1")).with(ids.prop("mode", "Mode", Value::Enum(0)).with_ui(popup(&[
             "Merge",
@@ -607,6 +608,28 @@ pub fn shape_simple_op(ids: &mut Ids, kind: &str) -> Option<PropGroup> {
     Some(g)
 }
 
+/// Wiggle Paths' Spatial Phase.
+fn wiggle_spatial_phase(ids: &mut Ids) -> Property {
+    ids.prop("spatialPhase", "Spatial Phase", Value::Scalar(0.0)).with_ui(ParamUi::Angle)
+}
+
+/// Adds the properties that shape path operations have gained since a project was saved (Wiggle
+/// Paths' Spatial Phase), at their defaults, to the operations in `contents` and its nested
+/// groups. Returns whether anything was added.
+pub fn upgrade_shape_contents(ids: &mut Ids, contents: &mut PropGroup) -> bool {
+    let mut changed = false;
+    for n in &mut contents.children {
+        let Node::Group(g) = n else { continue };
+        if g.match_id == "wiggle" && !g.children.iter().any(|c| c.match_id() == "spatialPhase") {
+            let at = g.children.iter().position(|c| c.match_id() == "phase").map_or(g.children.len(), |i| i + 1);
+            g.children.insert(at, wiggle_spatial_phase(ids).into());
+            changed = true;
+        }
+        changed |= upgrade_shape_contents(ids, g);
+    }
+    changed
+}
+
 // ---------------------------------------------------------------- camera / light / 3D
 
 pub fn camera_options(ids: &mut Ids, zoom: f64) -> PropGroup {
diff --git a/crates/render/src/shapes.rs b/crates/render/src/shapes.rs
--- a/crates/render/src/shapes.rs
+++ b/crates/render/src/shapes.rs
@@ -324,6 +324,7 @@ fn collect(ctx: &EvalCtx, layer: &Layer, contents: &PropGroup, arena: &mut Vec<B
                     speed: ctx.f(layer, g, "speed", 2.0),
                     correlation: ctx.f(layer, g, "correlation", 50.0),
                     phase_deg: ctx.f(layer, g, "phase", 0.0),
+                    spatial_phase_deg: ctx.f(layer, g, "spatialPhase", 0.0),
                     seed: ctx.f(layer, g, "seed", 0.0),
                 };
                 let t = layer.layer_time(ctx.time).seconds();
diff --git a/crates/render/src/shapes/tests.rs b/crates/render/src/shapes/tests.rs
--- a/crates/render/src/shapes/tests.rs
+++ b/crates/render/src/shapes/tests.rs
@@ -258,6 +258,24 @@ fn round_corners_clip_corner_pixels() {
     assert!((coverage(&img) - std::f32::consts::PI * 400.0).abs() < 15.0, "{}", coverage(&img));
 }
 
+/// Wiggle Paths' Spatial Phase changes the drawn shape; a whole turn draws it as at 0°.
+#[test]
+fn wiggle_paths_spatial_phase_renders() {
+    let render = |phase: f64| {
+        let (p, cid) = shape_comp(|ids| {
+            vec![
+                build::shape_ellipse(ids, [60.0, 60.0], [0.0, 0.0]),
+                op(ids, "wiggle", &[("size", Value::Scalar(8.0)), ("correlation", Value::Scalar(0.0)), ("spatialPhase", Value::Scalar(phase))]),
+                build::shape_fill(ids, RED),
+            ]
+        });
+        render_frame(&p, cid, Tick::from_seconds_f64(0.5), 1.0).data
+    };
+    let zero = render(0.0);
+    assert!(render(90.0) != zero, "Spatial Phase 90° draws the shape of 0°");
+    assert!(render(360.0) == zero, "Spatial Phase 360° draws another shape than 0°");
+}
+
 #[test]
 fn wiggle_paths_vary_over_time_deterministically() {
     let (p, cid) = shape_comp(|ids| {
diff --git a/crates/script/src/matchnames.rs b/crates/script/src/matchnames.rs
--- a/crates/script/src/matchnames.rs
+++ b/crates/script/src/matchnames.rs
@@ -209,6 +209,14 @@ const SHAPE_PROPS: &[(&str, &str, &str)] = &[
     ("twist", "angle", "ADBE Vector Twist Angle"),
     ("twist", "center", "ADBE Vector Twist Center"),
     ("merge", "mode", "ADBE Vector Merge Type"),
+    ("wiggle", "size", "ADBE Vector Roughen Size"),
+    ("wiggle", "detail", "ADBE Vector Roughen Detail"),
+    ("wiggle", "points", "ADBE Vector Roughen Points"),
+    ("wiggle", "speed", "ADBE Vector Temporal Freq"),
+    ("wiggle", "correlation", "ADBE Vector Correlation"),
+    ("wiggle", "phase", "ADBE Vector Temporal Phase"),
+    ("wiggle", "spatialPhase", "ADBE Vector Spatial Phase"),
+    ("wiggle", "seed", "ADBE Vector Random Seed"),
 ];
 
 /// Effects: our effect id → AE match name (the documented ones; the rest keep our id).
diff --git a/crates/script/src/tests.rs b/crates/script/src/tests.rs
--- a/crates/script/src/tests.rs
+++ b/crates/script/src/tests.rs
@@ -258,6 +258,44 @@ fn an_undefined_name_mentioned_earlier_reports_its_use_in_the_reading_function()
     assert_eq!(e.line, Some(6), "{e:?}");
 }
 
+/// Scripts reach Wiggle Paths' properties, Spatial Phase included, by their match names.
+#[test]
+fn wiggle_paths_properties_by_match_name() {
+    let mut s = session();
+    let o = ok(
+        &mut s,
+        r#"
+        var c = app.project.items.addComp("W", 200, 200, 1, 2, 30);
+        var sh = c.layers.addShape();
+        var w = sh.property("ADBE Root Vectors Group").addProperty("ADBE Vector Filter - Roughen");
+        w.property("ADBE Vector Spatial Phase").setValue(45);
+        var names = [];
+        for (var i = 1; i <= w.numProperties; i++) names.push(w.property(i).matchName);
+        [w.matchName, w.property("ADBE Vector Spatial Phase").name, names]
+        "#,
+    );
+    assert_eq!(
+        o.result,
+        json!([
+            "ADBE Vector Filter - Roughen",
+            "Spatial Phase",
+            [
+                "ADBE Vector Roughen Size",
+                "ADBE Vector Roughen Detail",
+                "ADBE Vector Roughen Points",
+                "ADBE Vector Temporal Freq",
+                "ADBE Vector Correlation",
+                "ADBE Vector Temporal Phase",
+                "ADBE Vector Spatial Phase",
+                "ADBE Vector Random Seed"
+            ]
+        ])
+    );
+    let (_, c) = comp_named(&s, "W");
+    let sh = c.layers.iter().find(|l| l.props.sub("contents").is_some()).unwrap();
+    assert_eq!(sh.props.prop("contents/wiggle/spatialPhase").unwrap().value, KV::Scalar(45.0));
+}
+
 #[test]
 fn match_names_and_lookups() {
     let mut s = session();
