We have created a vector_utils library that implements a number of vector methods see sample usage:-

Vec2D examples

#!/usr/bin/env jruby -v -W2
# frozen_string_literal: true
require 'picrate'
class VogelLayout < Processing::App

  load_library :vector_utils

  attr_reader :points

  def settings
    size 600, 600
    smooth 4
  end

  def setup
    sketch_title 'Vogel Layout'
    @points = VectorUtil.vogel_layout(number: 200, node_size: 10.0)
  end

  def draw
    background 0
    fill 200, 130, 100
    translate width / 2, height / 2
    points.each do |vec|
      ellipse vec.x, vec.y, 10, 10
    end
  end
end

VogelLayout.new
#!/usr/bin/env jruby -v -W2
# frozen_string_literal: true
require 'picrate'

class SpiralLayout < Processing::App
  load_library :vector_utils

  attr_reader :points

  def settings
    size 600, 600
    smooth 4
  end

  def setup
    sketch_title 'Spiral Layout'
    @points = VectorUtil.spiral_layout(
      number: 300,
      radius: 200,
      resolution: 0.3,
      spacing: 0.01,
      inc: 1.15
    )
  end

  def draw
    background 0
    fill 200, 130, 100
    translate width / 2, height / 2
    points.each do |vec|
      ellipse vec.x, vec.y, 10, 10
    end
  end
end

SpiralLayout.new

Vec3D example

#!/usr/bin/env jruby -v -W2
# frozen_string_literal: true
require 'picrate'
require 'arcball'

class FibonacciLayout < Processing::App

  load_library :vector_utils

  attr_reader :points

  def settings
    size 600, 600, P3D
    smooth 4
  end

  def setup
    sketch_title 'Fibonacci Layout'
    Processing::ArcBall.init self
    @points = VectorUtil.fibonacci_sphere(number: 500, radius: 300.0)
  end

  def draw
    background 0
    fill 200, 130, 100
    lights
    directional_light 200, 200, 200, -1, 1, 0
    points.each do |vec|
      push_matrix
      translate vec.x, vec.y, vec.z
      polar = VectorUtil.cartesian_to_polar(vec: vec)
      box 10
      rotate_y vec.y
      rotate_z vec.z
      pop_matrix
    end
  end
end

FibonacciLayout.new