program.cs

using System;
using System.IO;
using System.Linq;

Checkerboard.DrawCheckerboard(Console.Out, 5);
Console.WriteLine();
Checkerboard.DrawCheckerboard(Console.Out, 8);
Console.WriteLine();

static class Checkerboard
{
    const int MaxSize = 64;
    // construct the widest possible line, with a space at each end
    static readonly string MaxBuffer = string.Concat(Enumerable.Repeat(" *", MaxSize / 2)) + " ";
    static readonly string MaxSeparator = new string('-', MaxSize);

    public static void DrawCheckerboard(TextWriter output, int size)
    {
        ArgumentNullException.ThrowIfNull(output);
        ArgumentOutOfRangeException.ThrowIfLessThan(size, 0);
        ArgumentOutOfRangeException.ThrowIfGreaterThan(size, MaxSize);

        var evenChunk = MaxBuffer.AsSpan().Slice(1, size);
        var oddChunk = MaxBuffer.AsSpan().Slice(0, size);

        WriteHeadFoot();
        for (int i = 0; i < size; i++)
        {
            output.Write('|');
            output.Write(i % 2 == 0 ? oddChunk : evenChunk);
            output.Write('|');
            output.WriteLine();
        }
        WriteHeadFoot();

        void WriteHeadFoot()
        {
            output.Write(' ');
            output.Write(MaxSeparator.AsSpan().Slice(0, size));
            output.Write(' ');
            output.WriteLine();
        }
    }
}