Created Small Project Directory

.gitignore

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+/target

Cargo.toml

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+[workspace]
+resolver = "3"
+members = [
+		"quasi_lattices_3d",
+]
+

quasi_lattices_3d/Cargo.toml

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+[package]
+name = "lattice_3d"
+version = "0.1.0"
+edition = "2024"
+
+[dependencies]
+kiss3d = "0.35"

quasi_lattices_3d/src/main.rs

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+use kiss3d::nalgebra::{
+    DMatrix, 
+    //U2, 
+    //Dynamic, 
+    //Point3,
+    Translation3, 
+    //Vector2, 
+    //Vector3, 
+    //UnitQuaternion
+};
+use kiss3d::window::Window;
+use kiss3d::light::Light;
+
+const DIMENSION: usize = 3;
+const SIZE: usize = 2;
+
+fn generate_matrix() -> DMatrix<f32> {
+    let theta = 2.0 * std::f32::consts::PI / DIMENSION as f32;
+
+    let mut entries = Vec::new();
+    for i in 0..DIMENSION {
+        entries.push((i as f32 * theta).cos());
+        entries.push((i as f32 * theta).sin());
+        entries.push(1.0);
+    }
+    let matrix = DMatrix::from_vec(3, DIMENSION, entries);
+
+    matrix
+}
+
+fn main() {
+    let mut window = Window::new("3D Lattice");
+
+    window.set_light(Light::StickToCamera);
+
+    let projection_matrix = generate_matrix();
+
+    let mut points: Vec<Vec<f32>> = Vec::new();
+    let origin = vec![0.0;DIMENSION];
+    points.push(origin);
+
+    for i in 0..DIMENSION {
+        let mut new_points = points.clone();
+        for point in &points {
+            for j in 0..SIZE {
+                let mut new_point = point.clone();
+                new_point[i] = j as f32;
+                new_points.push(new_point);
+            }
+        }
+        points = new_points;
+    }
+
+    for point in &points {
+        let vector = DMatrix::from_vec(DIMENSION, 1, point.to_vec());
+        let result = &projection_matrix*vector;
+
+        let mut sphere = window.add_cube(0.05,0.05,0.05);
+
+        sphere.set_color(1.0, 1.0, 1.0);
+
+        sphere.append_translation(&Translation3::new(result[(0,0)], result[(1,0)], result[(2,0)]));
+    }
+
+    while window.render() {
+    }
+}

shell.nix

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+{ pkgs ? import <nixpkgs> { } }:
+
+with pkgs;
+
+mkShell rec {
+  nativeBuildInputs = [
+    pkg-config
+  ];
+  buildInputs = [
+    udev alsa-lib vulkan-loader
+    xorg.libX11 xorg.libXcursor xorg.libXi xorg.libXrandr # To use the x11 feature
+    libxkbcommon wayland # To use the wayland feature
+    libGL
+  ];
+  LD_LIBRARY_PATH = lib.makeLibraryPath buildInputs;
+}