Mapping the Rainbowduino Matrix to the Cube

rainbow_cube_mapping.rb

def xy2xyz( x, y )
  x2 = 2 + x/4 - 2 * (y/4).floor #3 + x/4 - y/4
  y2 = (x - 3.5).abs.ceil - 1
  z2 = y % 4
  
  [x2, y2, z2]
end

def xyz2xy( x, y, z )
  x2 =  y + 4 - (2*y + 1) * ((x + 1) % 2)
  y2 =  z + 4 - 4*(x / 2).floor
  
  [x2, y2]
end

def x2xy(x)
  x2 = x % 8
  y2 = x / 8
  [x2, y2]
end

def xy2x(x, y)
  x2 = y * 8 + x
  [x2]
end

def x2xyz(x)
  z2 = x / 16
  y2 = (x - (z2 * 4 * 4)) / 4
  x2 = x - (z2 * 4 * 4) - y2 * 4
  [x2, y2, z2]
end

def xyz2x(x, y, z)
  x2 = z * 4 * 4 + y * 4 + x
  [x2]
end

def plain2cube(x) 
 xy2x(*xyz2xy(*x2xyz(x)))
end

def cube2plain(x) 
 xyz2x(*xy2xyz(*x2xy(x)))
end

64.times do |y|
  puts plain2cube(*cube2plain(y))
end

#8.times do |x|
#  8.times do |y|
#    x2, y2, z2 = xy2xyz( x, y )
#    x3, y3 = xyz2xy( x2, y2, z2 )
#    puts "#{x},#{y} => #{x2},#{y2},#{z2} => #{x3},#{y3} "
#  end
#end