hi devs, how are you all, I want to share with you and with the forum an old code that I was making along time ago, is about how to use the node4D (rgba in Godot) to make a 4D HYPERCUBE IN GODOT, please take a look in the image bellowâ:down_arrow:
the red and light blue in the left side
, well⊠they are just some older versions, previous than the green oneâ:green_square:, and just the green one is the one I was looking for, is an hypercube that looks like a 3D normal cube, but it can fold like origami thanks to the extra dimension, BUT! thatâs all I have, I couldânt make something interesting with this code, I was thinking about to make a demo with a kind of 4D dice 
with the green hypercube, but⊠I couldânt 
AND THE CODE OF THE GREEN ONE IS REALLY HEAVY and it needs optimizing, and I donât know how, and mostly AI donât know very well how to use Godot, so⊠here is this
@tool
extends CharacterBody3D
@export var w_position: float = 0.0
@export var w_rotation: float = 0.0
var cube_vertices = [
Vector3(-1, -1, -1),
Vector3(1, -1, -1),
Vector3(1, 1, -1),
Vector3(-1, 1, -1),
Vector3(-1, -1, 1),
Vector3(1, -1, 1),
Vector3(1, 1, 1),
Vector3(-1, 1, 1)
]
var hypercube_vertices = []
var debug_printed = false
func _ready():
print("Calling generate_hypercube from _ready")
generate_hypercube()
print("Hypercube vertices after generate_hypercube in _ready: ", hypercube_vertices.size())
set_process(true)
func _process(_delta):
if not debug_printed:
print("Calling draw_hypercube from _process with debug")
print("Hypercube vertices before draw_hypercube in _process: ", hypercube_vertices.size())
draw_hypercube(true)
debug_printed = true
else:
draw_hypercube(false)
func generate_hypercube():
print("Generating hypercube vertices")
hypercube_vertices = [] # Aseguramos que hypercube_vertices esté inicializado
for vertex in cube_vertices:
hypercube_vertices.append(Vector4(vertex.x, vertex.y, vertex.z, -1))
hypercube_vertices.append(Vector4(vertex.x, vertex.y, vertex.z, 1))
print("Added vertex: ", Vector4(vertex.x, vertex.y, vertex.z, -1))
print("Added vertex: ", Vector4(vertex.x, vertex.y, vertex.z, 1))
print("Hypercube vertices generated: ", hypercube_vertices.size())
func rotate_4d(vertex, angle):
var cos_angle = cos(angle)
var sin_angle = sin(angle)
return Vector4(
vertex.x * cos_angle - vertex.w * sin_angle,
vertex.y,
vertex.z,
vertex.x * sin_angle + vertex.w * cos_angle
)
func project_to_3d(vertex4):
var w = 2 / (2 - vertex4.w + w_position)
return Vector3(vertex4.x * w, vertex4.y * w, vertex4.z * w)
func sd_hypercube(p, b):
var d = abs(p) - b
return min(max(d.x, max(d.y, max(d.z, d.w))), 0.0) + max(d, Vector4.ZERO).length()
func draw_hypercube(should_print_debug=true):
#print("Drawing hypercube")
var mesh_instance = get_node("MeshInstance3D")
if not mesh_instance:
print("Error: MeshInstance3D no encontrado")
return
var array_mesh = ArrayMesh.new()
var vertices = PackedVector3Array()
var indices = PackedInt32Array()
var uvs = PackedVector2Array()
var tangents = PackedFloat32Array()
if hypercube_vertices == null or hypercube_vertices.size() == 0:
print("Error: hypercube_vertices estĂĄ vacĂo o no inicializado")
return
var projected_vertices = []
for vertex4 in hypercube_vertices:
if vertex4 == null:
print("Error: vertex4 es null")
continue
var rotated_vertex = rotate_4d(vertex4, w_rotation)
var vertex3 = project_to_3d(rotated_vertex)
projected_vertices.append(vertex3)
vertices.append(vertex3)
uvs.append(Vector2(0, 0)) # Añadimos coordenadas UV por defecto
tangents.append_array([1.0, 0.0, 0.0, 1.0]) # Añadimos tangentes por defecto (4 componentes por tangente)
# Definir las caras del hipercubo
var faces = [
[0, 1, 2, 3], [4, 5, 6, 7], [0, 1, 5, 4], [2, 3, 7, 6],
[0, 3, 7, 4], [1, 2, 6, 5], [8, 9, 10, 11], [12, 13, 14, 15],
[8, 9, 13, 12], [10, 11, 15, 14], [8, 11, 15, 12], [9, 10, 14, 13],
[0, 1, 9, 8], [2, 3, 11, 10], [4, 5, 13, 12], [6, 7, 15, 14],
[0, 3, 11, 8], [1, 2, 10, 9], [4, 7, 15, 12], [5, 6, 14, 13]
]
for face in faces:
indices.append(face[0])
indices.append(face[1])
indices.append(face[2])
indices.append(face[2])
indices.append(face[3])
indices.append(face[0])
var arrays = []
arrays.resize(Mesh.ARRAY_MAX)
arrays[Mesh.ARRAY_VERTEX] = vertices
arrays[Mesh.ARRAY_INDEX] = indices
arrays[Mesh.ARRAY_TEX_UV] = uvs
arrays[Mesh.ARRAY_TANGENT] = tangents
array_mesh.add_surface_from_arrays(Mesh.PRIMITIVE_TRIANGLES, arrays)
mesh_instance.mesh = array_mesh
if should_print_debug:
print("NĂșmero de vĂ©rtices proyectados: ", projected_vertices.size())
print("NĂșmero de Ăndices: ", indices.size())
var num_aristas = float(indices.size()) / 2.0
print("NĂșmero de aristas proyectadas: ", num_aristas)
if indices.size() % 2 != 0:
print("Error: La cantidad de Ăndices no es mĂșltiplo de 2")
else:
print("Los Ăndices son correctos")
excuse me if I forgot to make a translation in some words, is spanish, sorry! I will be able to help to translate where you donât understand
WHAT WAS MY INSPIRATION OR IDEA?
Well, I just wanted to make a puzzle game that has some 4D visual tricks on simple 3D shapes, like 4D toys, or even more just like Miegakure
And finally, I took a little of the code in this video just for make my 4D hypercube in GDscript
And a last question: how can I upload the winrar of my project if you donât mind?
) the only project that is stored right there is an exercise for a frontend bootcamp and I upload it as private⊠and was overwhelming to upload it with Git via cdm for first time for me àČ _àČ 
here is it on Gitlab, you must see the winrar of the project
