diff --git a/app-proto/examples/kaleidocycle.rs b/app-proto/examples/kaleidocycle.rs
index effb226..3448b87 100644
--- a/app-proto/examples/kaleidocycle.rs
+++ b/app-proto/examples/kaleidocycle.rs
@@ -1,4 +1,4 @@
-use nalgebra::DMatrix;
+use nalgebra::{DMatrix, DVector};
 use std::{array, f64::consts::PI};
 
 use dyna3::engine::{Q, point, realize_gram, PartialMatrix};
@@ -59,22 +59,13 @@ fn main() {
     println!("Loss: {}\n", history.scaled_loss.last().unwrap());
     
     // find the kaleidocycle's twist motion
+    let up = DVector::from_column_slice(&[0.0, 0.0, 1.0, 0.0, 0.0]);
+    let down = -&up;
     let twist_motion: DMatrix<_> = (0..N_POINTS).step_by(4).flat_map(
-        |n| {
-            let up_field = {
-                DMatrix::from_column_slice(5, 5, &[
-                    0.0, 0.0, 0.0, 0.0, 0.0,
-                    0.0, 0.0, 0.0, 0.0, 0.0,
-                    0.0, 0.0, 0.0, 0.0, 1.0,
-                    0.0, 0.0, 2.0, 0.0, 0.0,
-                    0.0, 0.0, 0.0, 0.0, 0.0
-                ])
-            };
-            [
-                tangent.proj(&(&up_field * config.column(n)).as_view(), n),
-                tangent.proj(&(-&up_field * config.column(n+1)).as_view(), n+1)
-            ]
-        }
+        |n| [
+            tangent.proj(&up.as_view(), n),
+            tangent.proj(&down.as_view(), n+1)
+        ]
     ).sum();
     let normalization = 5.0 / twist_motion[(2, 0)];
     print!("Twist motion:{}", normalization * twist_motion);