有人可以解释一下公式吗 [英] Can someone explain the formula

问题描述

我发现一个公式可以执行以下操作:

https://threejs.org/examples/css3d_periodictable.html (球形版本)

我稍微修改了代码以使用对象，但在其背后的数学运算中未做任何更改.

我的问题是，是否有人可以解释该头寸计算中到底发生了什么.

这是代码:

for ( var i = 0, l = 30; i < l; i ++ ) {

    var phi = Math.acos( -1 + ( 2 * i ) / l );
    var theta = Math.sqrt( l * Math.PI ) * phi;

    var object = new THREE.Mesh( geometry, material );

    object.position.x = 1000 * Math.cos( theta ) * Math.sin( phi );
    object.position.y = 1000 * Math.sin( theta ) * Math.sin( phi );
    object.position.z = 1000 * Math.cos( phi );

    scene.add(object);

}

我希望有人能够帮助我

预先感谢

解决方案

此代码将笛卡尔坐标转换为球坐标.在坐标系转换上检查此Wikipedia条目.

绘制球形的最佳方法;)

I have found a formula which does the following:

https://threejs.org/examples/css3d_periodictable.html (the sphere version)

I modified the code a little bit to work with my objects, but changed nothing in the math behind it.

My question is if someone can explain what is exactly happening in the calculation for the position.

This is the code:

for ( var i = 0, l = 30; i < l; i ++ ) {

    var phi = Math.acos( -1 + ( 2 * i ) / l );
    var theta = Math.sqrt( l * Math.PI ) * phi;

    var object = new THREE.Mesh( geometry, material );

    object.position.x = 1000 * Math.cos( theta ) * Math.sin( phi );
    object.position.y = 1000 * Math.sin( theta ) * Math.sin( phi );
    object.position.z = 1000 * Math.cos( phi );

    scene.add(object);

}

I hope someone is able to help me

Thanks in advance

解决方案

This code is transforming Cartesian coordinates to spherical coordinates. Check this wikipedia entry on coordinate system convertions.

The best way to draw a sphere ;)

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