三维立方体y轴旋转无法正常工作

Question

我目前正在创建一个rubiks立方体项目。立方体解决了问题，但现在我正在尝试实现这个立方体的三维模型。

目前，x轴和z轴的旋转工作正常，但y轴的旋转似乎一开始是一个立方体，但当它旋转180°时，它变得更像梯形。

我有这个代码：

Point3D final;
double x = rotation.x;
final.x = original.x;
final.y = original.y * Math.Cos(x) - original.z * Math.Sin(x);
final.z = original.y * Math.Sin(x) + original.z * Math.Cos(x);

original.x = final.x;
original.y = final.y;
original.z = final.z;
x = rotation.y;
final.x = original.z * Math.Sin(x) + original.x * Math.Cos(x);
final.y = original.y;
final.z = original.y * Math.Cos(x) - original.x * Math.Sin(x);
original.x = final.x;
original.y = final.y;
original.z = final.z;
x = rotation.z;
final.x = original.x * Math.Cos(x) - original.y * Math.Sin(x);
final.y = original.x * Math.Sin(x) + original.y * Math.Cos(x);
final.z = original.z;

Answer 1

拼写错误。将y-旋转的行更改为

final.z = original.z * Math.Cos(x) - original.x * Math.Sin(x);

您使用的是original.y而不是original.z，但对于y-旋转，y的值不会影响旋转。

---

我可以建议你定义方法中的旋转吗

public static class Rotations
{
public static Point3D RotateAboutX(this Point3D point, double angle)
{
return new Point3D(
point.X,
Math.Cos(angle) * point.Y- Math.Sin(angle) * point.Z,
Math.Sin(angle) * point.Y+ Math.Cos(angle) * point.Z);
}
public static Point3D RotateAboutY(this Point3D point, double angle)
{
return new Point3D(
Math.Cos(angle) * point.X + Math.Sin(angle) * point.Z,
point.Y,
-Math.Sin(angle) * point.X + Math.Cos(angle) * point.Z);
}
public static Point3D RotateAboutZ(this Point3D point, double angle)
{
return new Point3D(
Math.Cos(angle) * point.X - Math.Sin(angle) * point.Y,
Math.Sin(angle) * point.X + Math.Cos(angle) * point.Y,
point.Z);
}
}

然后根据需要使用它们。例如

Point3D final = original.RotateAboutX(rotation.x)
.RotateAboutY(rotation.y)
.RotateAboutZ(rotation.z);

或者保持与原始代码一致

Point3D final = original.RotateAboutX(rotation.x);
original = final;
final = original.RotateAboutY(rotation.y);
original = final;
final = original.RotateAboutZ(rotation.z);