Step by Step solution about How to resolve the algorithm Death Star step by step in the Julia programming language

The provided Julia code defines a function called deathstar() that generates a 3D model of the Death Star from the Star Wars franchise. It uses the GLMakie library for 3D graphics. Here's a detailed explanation of the code:

1. The deathstar() function generates a 3D mesh that represents the Death Star's surface.

2. It defines two arrays, θ and φ, which specify the angles used to generate the mesh. θ represents the angles in the vertical direction (from the top to the bottom), and φ represents the angles in the horizontal direction (around the Death Star's axis).

3. The code then uses a loop to calculate the x, y, and z coordinates of each point on the Death Star's surface. It checks if the x coordinate is greater than 0.9 radius units, and if so, it replaces it with the coordinates of the sphere's surface at the center (1.2, 0, 0) with a radius of 0.5 units. This creates the Death Star's distinctive sphere-shaped structure.

4. The x, y, and z coordinates are then used to create a 3D scene using the Scene function from GLMakie. The scene has a black background.

5. Finally, a surface! function is used to add the Death Star mesh to the scene. The mesh is assigned a random color using the rand(RGBAf0, 124, 124) function, and the show_axis option is set to false to hide the coordinate axes.

6. The function returns the created scene, which can be displayed using the show(scene) function.

The overall result of the code is a 3D model of the Death Star that can be visualized and interacted with in an interactive 3D environment.

# run in REPL
using GLMakie

function deathstar()
    n = 60
    θ = [0; (0.5: n - 0.5) / n; 1]
    φ = [(0: 2n - 2) * 2 / (2n - 1); 2]
    # if x is +0.9 radius units, replace it with the coordinates of sphere surface
    # at (1.2,0,0) center, radius 0.5 units
    x = [(x1 = cospi(φ)*sinpi(θ)) > 0.9 ? 1.2 - x1 * 0.5 : x1 for θ in θ, φ in φ]
    y = [sinpi(φ)*sinpi(θ) for θ in θ, φ in φ]
    z = [cospi(θ) for θ in θ, φ in φ]
    scene = Scene(backgroundcolor=:black)
    surface!(scene, x, y, z, color = rand(RGBAf0, 124, 124), show_axis=false)
    return scene
end

scene = deathstar()