WPF UniformGrid contain children auto resize

//xaml
<Window x:Class="WpfApp332.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:WpfApp332"
        mc:Ignorable="d" WindowState="Maximized"
        Title="MainWindow" Height="450" Width="800">
    <UniformGrid x:Name="uniformGrid">
         
    </UniformGrid>
</Window>


//cs
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows;
using System.Windows.Controls;
using System.Windows.Controls.Primitives;
using System.Windows.Data;
using System.Windows.Documents;
using System.Windows.Input;
using System.Windows.Media;
using System.Windows.Media.Imaging;
using System.Windows.Navigation;
using System.Windows.Shapes;

namespace WpfApp332
{
    /// <summary>
    /// Interaction logic for MainWindow.xaml
    /// </summary>
    public partial class MainWindow : Window
    {
        Random rnd { get; set; }
        public MainWindow()
        {
            rnd = new Random();
            InitializeComponent();
            this.Loaded += MainWindow_Loaded;
        }

        private void MainWindow_Loaded(object sender, RoutedEventArgs e)
        {
            for(int i=0;i<2000;i++)
            {
                Button btn = new Button();
                btn.Background = new SolidColorBrush(Color.FromRgb((byte)rnd.Next(255), (byte)rnd.Next(255), (byte)rnd.Next(255)));
                if(!uniformGrid.Children.Contains(btn))
                {
                    uniformGrid.Children.Add(btn);
                }
            }
        } 
    }
}