From 97d61e154a78bb56462b2d105fa92c099eaa470e Mon Sep 17 00:00:00 2001 From: Aaron Fenyes Date: Thu, 10 Jul 2025 11:30:16 -0700 Subject: [PATCH] Add a tridiminished icosahedron test assembly --- app-proto/src/add_remove.rs | 170 ++++++++++++++++++++++++++++++++++++ 1 file changed, 170 insertions(+) diff --git a/app-proto/src/add_remove.rs b/app-proto/src/add_remove.rs index bf48546..cac7aa9 100644 --- a/app-proto/src/add_remove.rs +++ b/app-proto/src/add_remove.rs @@ -238,6 +238,174 @@ fn load_pointed_assemb(assembly: &Assembly) { } } +// to finish describing the tridiminished icosahedron, set the inversive +// distance regulators as follows: +// A-A -0.25 +// A-B " +// B-C " +// C-C " +// A-C -0.25 * φ^2 = -0.6545084971874737 +fn load_tridim_icosahedron_assemb(assembly: &Assembly) { + // create the vertices + const COLOR_A: ElementColor = [1.00_f32, 0.25_f32, 0.25_f32]; + const COLOR_B: ElementColor = [0.75_f32, 0.75_f32, 0.75_f32]; + const COLOR_C: ElementColor = [0.25_f32, 0.50_f32, 1.00_f32]; + let vertices = [ + Point::new( + "a1".to_string(), + "A₁".to_string(), + COLOR_A, + engine::point(0.25, 0.75, 0.75) + ), + Point::new( + "a2".to_string(), + "A₂".to_string(), + COLOR_A, + engine::point(0.75, 0.25, 0.75) + ), + Point::new( + "a3".to_string(), + "A₃".to_string(), + COLOR_A, + engine::point(0.75, 0.75, 0.25) + ), + Point::new( + "b1".to_string(), + "B₁".to_string(), + COLOR_B, + engine::point(0.75, -0.25, -0.25) + ), + Point::new( + "b2".to_string(), + "B₂".to_string(), + COLOR_B, + engine::point(-0.25, 0.75, -0.25) + ), + Point::new( + "b3".to_string(), + "B₃".to_string(), + COLOR_B, + engine::point(-0.25, -0.25, 0.75) + ), + Point::new( + "c1".to_string(), + "C₁".to_string(), + COLOR_C, + engine::point(0.0, -1.0, -1.0) + ), + Point::new( + "c2".to_string(), + "C₂".to_string(), + COLOR_C, + engine::point(-1.0, 0.0, -1.0) + ), + Point::new( + "c3".to_string(), + "C₃".to_string(), + COLOR_C, + engine::point(-1.0, -1.0, 0.0) + ) + ]; + for vertex in vertices { + let _ = assembly.try_insert_element(vertex); + } + + // create the faces + const COLOR_FACE: ElementColor = [0.75_f32, 0.75_f32, 0.75_f32]; + let frac_1_sqrt_6 = 1.0 / 6.0_f64.sqrt(); + let frac_2_sqrt_6 = 2.0 * frac_1_sqrt_6; + let faces = [ + Sphere::new( + "face1".to_string(), + "Face 1".to_string(), + COLOR_FACE, + engine::sphere_with_offset(frac_2_sqrt_6, -frac_1_sqrt_6, -frac_1_sqrt_6, -frac_1_sqrt_6, 0.0) + ), + Sphere::new( + "face2".to_string(), + "Face 2".to_string(), + COLOR_FACE, + engine::sphere_with_offset(-frac_1_sqrt_6, frac_2_sqrt_6, -frac_1_sqrt_6, -frac_1_sqrt_6, 0.0) + ), + Sphere::new( + "face3".to_string(), + "Face 3".to_string(), + COLOR_FACE, + engine::sphere_with_offset(-frac_1_sqrt_6, -frac_1_sqrt_6, frac_2_sqrt_6, -frac_1_sqrt_6, 0.0) + ) + ]; + for face in faces { + face.ghost().set(true); + let _ = assembly.try_insert_element(face); + } + + let index_range = 1..=3; + for j in index_range.clone() { + // make each face planar + let face = assembly.elements_by_id.with_untracked( + |elts_by_id| elts_by_id[&format!("face{j}")].clone() + ); + let curvature_regulator = face.regulators().with_untracked( + |regs| regs.first().unwrap().clone() + ); + curvature_regulator.set_point().set( + SpecifiedValue::try_from("0".to_string()).unwrap() + ); + + // put each A vertex on the face it belongs to + let vertex_a = assembly.elements_by_id.with_untracked( + |elts_by_id| elts_by_id[&format!("a{j}")].clone() + ); + let incidence_a = InversiveDistanceRegulator::new([face.clone(), vertex_a.clone()]); + incidence_a.set_point.set(SpecifiedValue::try_from("0".to_string()).unwrap()); + assembly.insert_regulator(Rc::new(incidence_a)); + + // regulate the B-C vertex distances + let vertices_bc = ["b", "c"].map( + |series| assembly.elements_by_id.with_untracked( + |elts_by_id| elts_by_id[&format!("{series}{j}")].clone() + ) + ); + assembly.insert_regulator( + Rc::new(InversiveDistanceRegulator::new(vertices_bc)) + ); + + // get the pair of indices adjacent to `j` + let adjacent_indices = [j % 3 + 1, (j + 1) % 3 + 1]; + + for k in adjacent_indices.clone() { + for series in ["b", "c"] { + // put each B and C vertex on the faces it belongs to + let vertex = assembly.elements_by_id.with_untracked( + |elts_by_id| elts_by_id[&format!("{series}{k}")].clone() + ); + let incidence = InversiveDistanceRegulator::new([face.clone(), vertex.clone()]); + incidence.set_point.set(SpecifiedValue::try_from("0".to_string()).unwrap()); + assembly.insert_regulator(Rc::new(incidence)); + + // regulate the A-B and A-C vertex distances + assembly.insert_regulator( + Rc::new(InversiveDistanceRegulator::new([vertex_a.clone(), vertex])) + ); + } + } + + // regulate the A-A and C-C vertex distances + let adjacent_pairs = ["a", "c"].map( + |series| adjacent_indices.map( + |index| assembly.elements_by_id.with_untracked( + |elts_by_id| elts_by_id[&format!("{series}{index}")].clone() + ) + ) + ); + for pair in adjacent_pairs { + assembly.insert_regulator( + Rc::new(InversiveDistanceRegulator::new(pair)) + ); + } + } +} + /* DEBUG */ // the initial configuration of this test assembly deliberately violates the // constraints, so loading the assembly will trigger a non-trivial realization @@ -604,6 +772,7 @@ pub fn AddRemove() -> View { "general" => load_gen_assemb(assembly), "low-curv" => load_low_curv_assemb(assembly), "pointed" => load_pointed_assemb(assembly), + "tridim-icosahedron" => load_tridim_icosahedron_assemb(assembly), "balanced" => load_balanced_assemb(assembly), "off-center" => load_off_center_assemb(assembly), "radius-ratio" => load_radius_ratio_assemb(assembly), @@ -659,6 +828,7 @@ pub fn AddRemove() -> View { option(value="general") { "General" } option(value="low-curv") { "Low-curvature" } option(value="pointed") { "Pointed" } + option(value="tridim-icosahedron") { "Tridiminished icosahedron" } option(value="balanced") { "Balanced" } option(value="off-center") { "Off-center" } option(value="radius-ratio") { "Radius ratio" }