# How to create the rotated cube with Makie.jl and GeometryBasics.jl
**URL:** https://discourse.julialang.org/t/how-to-create-the-rotated-cube-with-makie-jl-and-geometrybasics-jl/93720
**Category:** General Usage
**Tags:** makie, geometrybasics
**Created:** [January 29, 2023, 5:31am UTC](https://discourse.julialang.org/t/how-to-create-the-rotated-cube-with-makie-jl-and-geometrybasics-jl/93720 "2023-01-29T05:31:57Z")
**Posts on this page:** 4
**Page:** 1
### Author:  [@Mizu49](https://discourse.julialang.org/u/Mizu49)
#### Post date: [January 29, 2023, 5:31am UTC](https://discourse.julialang.org/t/how-to-create-the-rotated-cube-with-makie-jl-and-geometrybasics-jl/93720/1 "2023-01-29T05:31:57Z")
I want to create the rotated cube with `Makie.jl` and `GeometryBasics.jl`. I made the following code, but it did not work well.
```julia
using GLMakie, GeometryBasics
# rotation matrix
theta = pi/4
C = [
1 0 0
0 cos(theta) -sin(theta)
0 sin(theta) cos(theta)
]
# rotated points of a cube
points = [
Point3{Float64}(C * [0.5, 0.5, 0.5]),
Point3{Float64}(C * [-0.5, 0.5, 0.5]),
Point3{Float64}(C * [-0.5, -0.5, 0.5]),
Point3{Float64}(C * [0.5, -0.5, 0.5]),
Point3{Float64}(C * [0.5, 0.5, -0.5]),
Point3{Float64}(C * [-0.5, 0.5, -0.5]),
Point3{Float64}(C * [-0.5, -0.5, -0.5]),
Point3{Float64}(C * [0.5, -0.5, -0.5])
]
cube = GeometryBasics.mesh(points)
fig = Figure()
ax = Axis3(
fig[1, 1],
aspect = :data,
viewmode = :fit
)
mesh!(ax, cube, color=:yellow, shading = true)
display(fig)
```
The Makie displays the following, which does not contain any mesh.
I investigated the variable `cube`, and it gives the empty mesh. I believe it should have `Triangle`s.
```julia
julia> cube
Mesh{3, Float64, Triangle}
```
How can I resolve this? Or are there any other solutions?
---
### Author:  [@jules](https://discourse.julialang.org/u/jules)
#### Post date: [January 29, 2023, 6:27am UTC](https://discourse.julialang.org/t/how-to-create-the-rotated-cube-with-makie-jl-and-geometrybasics-jl/93720/2 "2023-01-29T06:27:01Z")
A list of points is not enough for a mesh, you need to define how these points are connected with faces as well.
[https://docs.makie.org/stable/examples/plotting\_functions/mesh/#examples](https://docs.makie.org/stable/examples/plotting_functions/mesh/#examples)
---
### Author:  [@Mizu49](https://discourse.julialang.org/u/Mizu49)
#### Post date: [January 29, 2023, 11:35am UTC](https://discourse.julialang.org/t/how-to-create-the-rotated-cube-with-makie-jl-and-geometrybasics-jl/93720/3 "2023-01-29T11:35:00Z")
Thank you, Jules!
Adding the faces resolved this.
```julia
using GLMakie, GeometryBasics
theta = pi/4
C = [
1 0 0
0 cos(theta) -sin(theta)
0 sin(theta) cos(theta)
]
points = hcat(
C * [0.5, 0.5, 0.5],
C * [-0.5, 0.5, 0.5],
C * [-0.5, -0.5, 0.5],
C * [0.5, -0.5, 0.5],
C * [0.5, 0.5, -0.5],
C * [-0.5, 0.5, -0.5],
C * [-0.5, -0.5, -0.5],
C * [0.5, -0.5, -0.5]
)
faces = [
1 2 3
3 4 1
1 2 6
1 5 6
1 4 5
4 5 8
3 4 7
4 7 8
5 6 7
5 7 8
2 3 6
3 6 7
]
fig = Figure()
ax = Axis3(
fig[1, 1],
aspect = :data,
viewmode = :fit
)
mesh!(ax, points, faces, color=:yellow, shading = true)
display(fig)
```
---
### Author:  [@Mizu49](https://discourse.julialang.org/u/Mizu49)
#### Post date: [January 29, 2023, 12:44pm UTC](https://discourse.julialang.org/t/how-to-create-the-rotated-cube-with-makie-jl-and-geometrybasics-jl/93720/4 "2023-01-29T12:44:13Z")
Note that the `points` can be `Vector{Point3{Float64}}`.
```julia
points = [
Point3{Float64}(C * [0.5, 0.5, 0.5]),
Point3{Float64}(C * [-0.5, 0.5, 0.5]),
Point3{Float64}(C * [-0.5, -0.5, 0.5]),
Point3{Float64}(C * [0.5, -0.5, 0.5]),
Point3{Float64}(C * [0.5, 0.5, -0.5]),
Point3{Float64}(C * [-0.5, 0.5, -0.5]),
Point3{Float64}(C * [-0.5, -0.5, -0.5]),
Point3{Float64}(C * [0.5, -0.5, -0.5])
]
```