C#-Code

using System;
using System.Text;
using System.Windows.Threading;
using System.Windows.Media;
using System.Windows;
using System.Windows.Controls;
using System.Windows.Input;

namespace fibonacci_clock   {

    public partial class MainWindow : Window {
        string LZ = " ";

        bool bo_break = false, bo_break2 = false;
        bool bo_borders_copy_available = false;

        SolidColorBrush[] scb = new SolidColorBrush[]
            { Brushes.AntiqueWhite, Brushes.Red, Brushes.Green, Brushes.Blue,
                    Brushes.Yellow, Brushes.Pink, Brushes.Purple, Brushes.SkyBlue};

        System.Windows.Controls.Border[] borders_copy;

        public MainWindow() {

            InitializeComponent();
            run_dispatcherTimer();
            DispatcherTimer dispatcherTimer = new DispatcherTimer();
            dispatcherTimer.Tick += new EventHandler(dispatcherTimer_Tick);
            dispatcherTimer.Interval = new TimeSpan(0, 0, 5);
            dispatcherTimer.Start();
        }

        Random rhm = new Random();

        private void run_dispatcherTimer(bool bo_real = true) {

            DateTime dt = DateTime.Now;

            int h12 = bo_real   ?   dt.Hour % 12    : rhm.Next(12);
            int m5  = bo_real   ?   dt.Minute / 5   : rhm.Next(12);
            int m1  = bo_real   ?   dt.Minute % 5   : rhm.Next(5);

            Fibo fbh = new Fibo(h12);
            Fibo fbm = new Fibo(m5);
            Fibo fbm1 = new Fibo(m1);

            if (bo_break) {                
                MessageBox.Show(dt.ToShortTimeString() + "   " + h12.ToString() +
                    LZ + (m5 * 5).ToString() + LZ + m1.ToString());
                bo_break = false;
            }

            byte[] c = new byte[fbh.fobos.Length];
            for (var i = 0; i < fbh.fobos.Length; i++) 
                c[i] = ((byte)(fbh.fobos[i] + 2 * fbm.fobos[i]));

            byte[] c_extend = new byte[fbh.fobos.Length];
            for (var i = 0; i < fbh.fobos.Length; i++)
                c_extend[i] = ((byte)(fbh.fobos[i] + 2 * fbm.fobos[i] + 4 * fbm1.fobos[i]));

            string titel_string = dt.ToLongTimeString();
            if (bo_break2)
                titel_string = " random simulation ";

          this.main_window.Title = "Fibonacci Clock   " + titel_string +
                LZ + h12.ToString() + LZ + (m5 * 5).ToString() + LZ + m1.ToString() + "    " +
                fbh.fobos.ToMyString() + fbm.fobos.ToMyString() + fbm1.fobos.ToMyString() +
                LZ + c.ToMyString() + c_extend.ToMyString();

            System.Windows.Controls.Border[] borders = new Border[]
                { this.border_1, this.border_2, this.border_3, this.border_4, this.border_5};

            if (!bo_borders_copy_available) {//beim ersten Mal

                borders_copy = new Border[borders.Length];
                for (var i = 0; i < borders_copy.Length; i++)
                    borders_copy[i] = borders[i];

                bo_borders_copy_available = true;
            }

            for (var i = 0; i < fbh.fobos.Length; i++)
                borders[i].Background = scb[c_extend[i]];
        }

        private void dispatcherTimer_Tick(object sender, EventArgs e) { 
            if(!bo_break && !bo_break2) run_dispatcherTimer();
        }

        private void border_1_MouseLeftButtonDown(object sender, MouseButtonEventArgs e)                 
            { bo_break = !bo_break; run_dispatcherTimer(); }
        

        private int border_3_state = 0;

        private void border_3_MouseLeftButtonDown(object sender, MouseButtonEventArgs e)        {
            //change window appearance
            border_3_state = (border_3_state + 1) % 2;

            if (border_3_state == 0)    {
                this.main_window.WindowState = WindowState.Normal;
                this.main_window.WindowStyle = WindowStyle.None;
                this.main_window.ResizeMode = ResizeMode.NoResize;
            }
            if (border_3_state == 1)    {//notwendig, um z. B. Uhr ausschalten zu können
                this.main_window.WindowState = WindowState.Normal;
                this.main_window.WindowStyle = WindowStyle.SingleBorderWindow;
                this.main_window.ResizeMode = ResizeMode.CanResize;
            }                       
        }

        int border_1_click_counter = 0;
        private void border_1_MouseDown(object sender, MouseButtonEventArgs e)        {
            //for visual checking the colour appearance
            border_1_click_counter = (border_1_click_counter + 1) % 2;
            int offset = 4;
            if (border_1_click_counter == 1)
                offset = 0;

            if (bo_borders_copy_available)
                for (var i = 0; i < 4; i++)
                    borders_copy[i].Background = scb[i + offset]; 
        }

        private void border_4_MouseLeftButtonDown(object sender, MouseButtonEventArgs e)        {
            //change to simulation
            bo_break2 = !bo_break2;
            this.run_dispatcherTimer(false);
        }
    }

    public class Fibo    {

        static byte[] B5 = new byte[] { 1, 1, 2, 3, 5 };

        public byte[] fobos = new byte[B5.Length];

        Random r = new Random();

        public Fibo(int n)        {

            bool bo_okay = false;
            while(!bo_okay)            {
                int erg = 0;
                for(var i = 0; i < B5.Length; i++)  {
                    byte b = (byte)r.Next(2);
                    fobos[i] = b;
                    erg += b * B5[i];
                }
                bo_okay = erg == n;
            }
        }
    }

    public static class MyExtensions    {

        static public string ToMyString(this byte[] b)        {

            StringBuilder sb = new StringBuilder("[");
            for (var i = 0; i < b.Length; i++)
                sb.Append(b[i].ToString());
            return sb.ToString() + "]";
        }
    }
}

C#-Code

<Window x:Name="main_window" x:Class="fibonacci_clock.MainWindow"
        xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
        xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
        xmlns:d="http://schemas.microsoft.com/expression/blend/2008"
        xmlns:mc="http://schemas.openxmlformats.org/markup-compatibility/2006"
        xmlns:local="clr-namespace:fibonacci_clock"
        mc:Ignorable="d"
        Title="fibonacci-clock" Height="300" Width="450" WindowStartupLocation="CenterScreen" HorizontalContentAlignment="Stretch" VerticalContentAlignment="Stretch" WindowStyle="None" ResizeMode="NoResize">
    <Grid x:Name="main_grid">
        <Grid.RowDefinitions>
            <RowDefinition Height="50*"/>
            <RowDefinition Height="50*"/>
            <RowDefinition Height="150*"/>
        </Grid.RowDefinitions>
        <Grid.ColumnDefinitions>
            <ColumnDefinition Width="100*"/>
            <ColumnDefinition Width="50*"/>
            <ColumnDefinition Width="250*"/>
        </Grid.ColumnDefinitions>
        <Border x:Name="border_5" BorderBrush="Black" BorderThickness="2,4,4,4" Grid.Column="2" Grid.RowSpan="3" Margin="0" MouseLeftButtonDown="border_1_MouseLeftButtonDown"/>
        <Border x:Name="border_4" BorderBrush="Black" BorderThickness="4,2,2,4" Grid.Row="2" Grid.ColumnSpan="2" MouseLeftButtonDown="border_4_MouseLeftButtonDown" />
        <Border x:Name="border_3" BorderBrush="Black" BorderThickness="4,4,2,2" Grid.RowSpan="2" MouseLeftButtonDown="border_3_MouseLeftButtonDown"/>
        <Border x:Name="border_1" BorderBrush="Black" BorderThickness="2" Grid.Column="1" Grid.Row="1" MouseDown="border_1_MouseDown"/>
        <Border x:Name="border_2" BorderBrush="Black" BorderThickness="2,4,2,2" Grid.Column="1" />
    </Grid>
</Window>