dyna3/app-proto/examples/kaleidocycle.rs
2025-07-18 12:16:40 -07:00

32 lines
No EOL
1.1 KiB
Rust

#[path = "common/print.rs"]
mod print;
use nalgebra::{DMatrix, DVector};
use dyna3::engine::{ConfigNeighborhood, examples::realize_kaleidocycle};
fn main() {
const SCALED_TOL: f64 = 1.0e-12;
let realization = realize_kaleidocycle(SCALED_TOL);
print::title("Kaleidocycle");
print::realization_diagnostics(&realization);
if let Ok(ConfigNeighborhood { config, nbhd: tangent }) = realization.result {
// print the completed Gram matrix and the realized configuration
print::gram_matrix(&config);
print::config(&config);
// find the kaleidocycle's twist motion by projecting onto the tangent
// space
const N_POINTS: usize = 12;
let up = DVector::from_column_slice(&[0.0, 0.0, 1.0, 0.0]);
let down = -&up;
let twist_motion: DMatrix<_> = (0..N_POINTS).step_by(4).flat_map(
|n| [
tangent.proj(&up.as_view(), n),
tangent.proj(&down.as_view(), n+1)
]
).sum();
let normalization = 5.0 / twist_motion[(2, 0)];
println!("\nTwist motion:{}", (normalization * twist_motion).to_string().trim_end());
}
}