gistfile1.txt

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace Poly
{
    enum X
    {
        Left = 0b00,
        Zero = 0b01,
        Right = 0b10
    }

    enum Y
    {
        Back = 0b0000,
        Zero = 0b0100,
        Fore = 0b1000
    }

    enum Z
    {
        Down = 0b000000,
        Zero = 0b010000,
        Up = 0b100000
    }

    enum Vacancy
    {
        // lower plane x,y,-1
        LeftZeroDown = X.Left | Y.Zero | Z.Down,
        ZeroBackDown = X.Zero | Y.Back | Z.Down,
        RightZeroDown = X.Right | Y.Zero | Z.Down,
        ZeroForeDown = X.Zero | Y.Fore | Z.Down,
        // middle plane x,y,0
        LeftBackZero = X.Left | Y.Back | Z.Zero,
        LeftForeZero = X.Left | Y.Fore | Z.Zero,
        RightForeZero = X.Right | Y.Fore | Z.Zero,
        RightBackZero = X.Right | Y.Back | Z.Zero,
        // upper plane x,y,1
        LeftZeroUp = X.Left | Y.Zero | Z.Up,
        ZeroBackUp = X.Zero | Y.Back | Z.Up,
        RightZeroUp = X.Right | Y.Zero | Z.Up,
        ZeroForeUp = X.Zero | Y.Fore | Z.Up,
    }

    class Program
    {
        static void Main(string[] args)
        {
            var vacancyValues = (int[])Enum.GetValues(typeof(Vacancy));
            foreach (var vacancy in vacancyValues)
            {
                var x = ((vacancy >> 0) & 0b11) - 1;
                var y = ((vacancy >> 2) & 0b11) - 1;
                var z = ((vacancy >> 4) & 0b11) - 1;
                Console.WriteLine($"({x},{y},{z})");
            }
            Console.Read();
        }
    }
}