制作空心体素锥

Question

我试图在C#中创建一个体素样式的圆锥形状。我有锥建筑使用立方体，但无法解决如何只建立外层(使它空心)，而不是建立一个固体锥，如图所示。

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目前为止的代码(从其他人的脚本中编辑)

// Create a cone made of cubes. Can be called at runtime
public void MakeVoxelCone()
{
    for (int currentLength = 0; currentLength < maxLength; currentLength++)
        MakeNewLayer(currentLength);
}

// Make a new layer of cubes on the cone
private void MakeNewLayer(int currentLength)
{
    center = new Vector3(0, currentLength, 0);
    for (int x = -currentLength; x < currentLength; x++)
    {
        for (int z = -currentLength; z < currentLength; z++)
        {
            // Set position to spawn cube
            Vector3 pos = new Vector3(x, currentLength, z);

            // The distance to the center of the cone at currentLength point
            float distanceToMiddle = Vector3.Distance(pos, center);

            // Create another layer of the hollow cone
            if (distanceToMiddle < currentLength)
            {
                // Add all cubes to a List array
                Cubes.Add(MakeCube(pos));
            }
        }
    }
}

// Create the cube and set its properties
private GameObject MakeCube(Vector3 position)
{
    GameObject cube = GameObject.CreatePrimitive(PrimitiveType.Cube);
    cube.GetComponent<Renderer>().material.color = Color.blue;
    if (!AddCollider)
        Destroy(cube.GetComponent<BoxCollider>());
    cube.transform.position = position;
    cube.transform.parent = transform;
    cube.name = "cube [" + position.y + "-" + position.x + "," + position.z + "]";

    return cube;
}

我想这可能很简单，但我想不出来。也许是关于if (distanceToMiddle < currentLength)部分的一些东西，但是用<替换==破坏了整个形状。

@Jax297 >= (currentLength-1) Closer，但现在还不正确。现在它是一个有圆锥体的金字塔。

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Answer 1

假设你的电流长度是外径，你必须引入一个厚度可变，并与当前的厚度相比，所以有一个内径是自由的。

(currentLength - thickness) < distanceToMiddle && distanceToMiddle < currentLength 

Answer 2

如果你想创造一个“空的”圆锥体。试着先用英语描述那个形状。

在0.h的高度上创建一个圆，每一步从0.r到0..r都随半径的增加而增大

所以现在你需要找到一个圆的方程(应该带你回到HS trig)：sin(theta)^2 + cos(theta)^2 = radius

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现在，您希望在增加高度的同时创建这个圆圈。

这只会产生你想要的空圆锥体。

下面是一个快速实现(根据需要进行调整)：

    public List<GameObject> instantiatedObjects = new List<GameObject>();
    public GameObject rootParent;
    public int numOfRows = 10;
    public int incrementPerRow = 4;
    public float radiusStep = 0.5f;
    public float height = 5;
    [Button]
    public void CreateVoxelCone()
    {
        // first one. root object.
        rootParent = GameObject.CreatePrimitive(PrimitiveType.Cube);
        rootParent.name = "Pivot";
        rootParent.transform.position = Vector3.zero;
        var itemsForThisRow = incrementPerRow;
        var heightStep = height / numOfRows;
        // for each row...
        for (int i = 0; i < numOfRows; i++)
        {
            // create items in a circle
            var radianStep = Mathf.PI * 2 / itemsForThisRow;
            for (float j = 0; j < Mathf.PI*2; j=j+radianStep)
            {
                var newPosition = new Vector3(Mathf.Cos(j) * radiusStep * i, heightStep * i, Mathf.Sin(j) * radiusStep*i);
                var point = GameObject.CreatePrimitive(PrimitiveType.Cube);
                point.name = ($"Row: {i}, {j}");
                point.transform.SetParent(rootParent.transform);
                point.transform.localPosition = newPosition;
                instantiatedObjects.Add(point);
            }

            itemsForThisRow += incrementPerRow;
        }
    }

    [Button]
    public void CleanUp()
    {
        DestroyImmediate(rootParent);
    }

​

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