Let's make a spherical grid with Rhinoceros / Grasshopper / GHPython

Introduction

I made a spherical grid according to the specified number and wrote a script to arrange 3D objects there. I will write down the method.

data

[input] name: obj, Data Access: Item Access, Type hint: GeometryBase, desc: Objects to array name: num, Data Access: Item Access, Type hint: int, desc: Number of grids name: rad, Data Access: Item Access, Type hint: float, desc: Sphere Radius [Output] name: objs, desc: Objects arranged on a sphere name: pts, dec: spherically arranged points

import ghpythonlib.components as ghcomp
import Rhino
import math

objList = []
ptList = []
for i in range(num):
    #Arrange in a spherical shape
    y = i * 2 / num - 1 + (1 / num)
    r = math.sqrt(1 - y * y)
    phi = i * math.pi * (3 - math.sqrt(5));
    x = math.cos(phi) * r;
    z = math.sin(phi) * r;
    
    #Scale according to radius
    x = x * rad;
    y = y * rad;
    z = z * rad;
    position = Rhino.Geometry.Point3d(x, y, z);
    ptList.append(position)
    
    #Place object
    clone = obj.Duplicate()
    center = clone.GetBoundingBox(True).Center
    dir = Rhino.Geometry.Vector3d(position) - Rhino.Geometry.Vector3d(center)
    dir.Unitize()
    clone = ghcomp.OrientDirection(clone,center,Rhino.Geometry.Vector3d(0,0,1),position,dir)[0]
    
    objList.append(clone)

objs = objList
pts = ptList

Commentary

import ghpythonlib.components as ghcomp
import Rhino
import math

objList = []
ptList = []
...

Import the library used this time and make two empty lists.

...

for i in range(num):
    #Arrange in a spherical shape
    y = i * 2 / num - 1 + (1 / num)
    r = math.sqrt(1 - y * y)
    phi = i * math.pi * (3 - math.sqrt(5));
    x = math.cos(phi) * r;
    z = math.sin(phi) * r;
...

The main is this part, where the base of the spherical grid is made.

...
    #Scale according to radius
    x = x * rad;
    y = y * rad;
    z = z * rad;
    position = Rhino.Geometry.Point3d(x, y, z);
    ptList.append(position)

The base is scaled according to the size of the radius. After that, I put the points I made in ptList.

...
    #Place object
    clone = obj.Duplicate()
    center = clone.GetBoundingBox(True).Center
    dir = Rhino.Geometry.Vector3d(position) - Rhino.Geometry.Vector3d(center)
    dir.Unitize()
    clone = ghcomp.OrientDirection(clone,center,Rhino.Geometry.Vector3d(0,0,1),position,dir)[0]
    
    objList.append(clone)
...

I duplicate the base object and use the GH component Orient Direction to orient it to the points in the grid I just created. Finally, add the duplicated object to the list.

...
objs = objList
pts = ptList

Finally, the list is output.

download

SphericalGrid.gh