Full repo available at https://bitbucket.org/createdbyx/codefarts.utilities-extension-methods-only

/// <summary>
/// Crops an array to a specified length.
/// </summary>
/// <typeparam name="T">Specifies the generic type of the array.</typeparam>
/// <param name="array">The destination array.</param>
/// <param name="length">The length that the destination array will be set to.</param>
/// <returns>Returns the resized and updated destination array.</returns>
public static T[] Crop<T>(this T[] array, int length)
{
    if (array == null)
    {
        return array;
    }

    Array.Resize(ref array, Math.Max(length, 0));
    return array;
}

/// <summary>
/// Crops an array to a specified length.
/// </summary>
/// <typeparam name="T">Specifies the generic type of the array.</typeparam>
/// <param name="array">The destination array.</param>
/// <param name="index">The index in the destination array where cropping begins at.</param>
/// <param name="length">The length that the destination array will be set to.</param>
/// <returns>
/// Returns the resized and updated destination array.
/// </returns>
/// <exception cref="ArgumentOutOfRangeException">length;'length' argument must be greater then 0.</exception>
public static T[] Crop<T>(this T[] array, int index, int length)
{
    if (array == null)
    {
        return array;
    }

    if (length <= 0)
    {
        throw new ArgumentOutOfRangeException("length", "'length' argument must be greater then 0.");
    }
                 
    if (index < 0 || index > array.Length - 1)
    {
        return array;
    }
                        
    length = Math.Min(length, array.Length - index);
    if (index > 0)
    {
        Array.Copy(array, index, array, 0, length);
    }

    Array.Resize(ref array, length);
    return array;
}

Full repo available at https://bitbucket.org/createdbyx/codefarts.utilities-extension-methods-only

/// <summary>
/// Adds the specified source array to the end of the destination array.
/// </summary>
/// <typeparam name="T">Specifies the generic type of the array.</typeparam>
/// <param name="array">The destination array.</param>
/// <param name="sourceArray">The source array that will be added to the end of the destination array.</param>
/// <returns>Returns the resized and updated destination array.</returns>
public static T[] Add<T>(this T[] array, T[] sourceArray)
{
    if (array == null || sourceArray == null || sourceArray.Length == 0)
    {
        return array;
    }

    Array.Resize(ref array, array.Length + sourceArray.Length);
    sourceArray.CopyTo(array, array.Length - sourceArray.Length);
    return array;
}

/// <summary>
/// Adds a new extry to the end of the destination array.
/// </summary>
/// <typeparam name="T">Specifies the generic type of the array.</typeparam>
/// <param name="array">The destination array.</param>
/// <param name="value">The item that will be added to the end of the destination array.</param>
/// <returns>Returns the resized and updated destination array.</returns>
public static T[] Add<T>(this T[] array, T value)
{
    if (array == null)
    {
        return array;
    }

    Array.Resize(ref array, array.Length + 1);
    array[array.Length - 1] = value;
    return array;
}

Full repo available at https://bitbucket.org/createdbyx/codefarts.utilities-extension-methods-only

/// <summary>
/// Replaces a sequence of array entries at the specified index.
/// </summary>
/// <typeparam name="T">Specifies the generic type of the array.</typeparam>
/// <param name="array">The destination array.</param>
/// <param name="index">The index in the destination array where replacement takes place.</param>
/// <param name="sourceArray">The source array that will replace the existing entries.</param>
/// <returns>Returns the resized and updated destination array.</returns>
/// <exception cref="ArgumentOutOfRangeException">
/// If 'index' is out of bounds of the destination array.
/// </exception>
public static T[] Replace<T>(this T[] array, int index, T[] sourceArray)
{
    if (array == null || sourceArray == null || sourceArray.Length == 0)
    {
        return array;
    }

    if (index < 0)
    {
        throw new ArgumentOutOfRangeException("index");
    }

    if (index > array.Length - 1)
    {
        throw new ArgumentOutOfRangeException("index");
    }

    var expandSize = (index + sourceArray.Length) - array.Length;
    if (expandSize > 0)
    {
        Array.Resize(ref array, array.Length + expandSize);
    }

    sourceArray.CopyTo(array, index);
    return array;
}

Full repo available at https://bitbucket.org/createdbyx/codefarts.utilities-extension-methods-only

/// <summary>
/// Inserts one array into another array at the specified index.
/// </summary>
/// <typeparam name="T">Specifies the generic type of the array.</typeparam>
/// <param name="array">The destination array.</param>
/// <param name="index">The index in the destination array where insertion takes place.</param>
/// <param name="sourceArray">The source array that will be inserted.</param>
/// <returns>Returns the resized and updated destination array.</returns>
/// <exception cref="ArgumentOutOfRangeException">
/// If 'index' is out of bounds of the destination array.
/// </exception>
public static T[] Insert<T>(this T[] array, int index, T[] sourceArray)
{
    if (array == null || sourceArray == null || sourceArray.Length == 0)
    {
        return array;
    }

    if (index < 0)
    {
        throw new ArgumentOutOfRangeException("index");
    }

    if (index > array.Length + 1)
    {
        throw new ArgumentOutOfRangeException("index");
    }

    Array.Resize(ref array, array.Length + sourceArray.Length);
    Array.Copy(array, index, array, index + sourceArray.Length, array.Length - sourceArray.Length - index);
    sourceArray.CopyTo(array, index);
    return array;
}

Full repo available at https://bitbucket.org/createdbyx/codefarts.utilities-extension-methods-only

/// <summary>
/// Removes a depth from the three dimensional sequence.
/// </summary>
/// <typeparam name="T">The type of the array.</typeparam>
/// <param name="array">The array whose values are to be removed.</param>
/// <param name="width">The width of the three dimensional sequence.</param>
/// <param name="height">The height of the three dimensional sequence.</param>
/// <param name="depth">The depth of to be removed from the three dimensional sequence.</param>
/// <returns>Returns the updated three dimensional sequence.</returns>
/// <exception cref="ArgumentOutOfRangeException">
/// width or height is less then 1. Or depth is less then 0 or greater then the depth of the three dimensional sequence.
/// </exception>
public static T[] Remove3DDepth<T>(this T[] array, int width, int height, int depth)
{
    if (width < 1)
    {
        throw new ArgumentOutOfRangeException("width");
    }

    if (height < 1)
    {
        throw new ArgumentOutOfRangeException("height");
    }

    var length = width * height;
    if (depth < 0 || depth > (array.Length / length))
    {
        throw new ArgumentOutOfRangeException("depth");
    }

    return array.RemoveRange(depth * length, length);
}

Full repo available at https://bitbucket.org/createdbyx/codefarts.utilities-extension-methods-only

/// <summary>
/// Gets the depth of the three dimensional sequence.
/// </summary>
/// <typeparam name="T">The type of the array.</typeparam>
/// <param name="array">The array whose value is to be retrieves.</param>
/// <param name="width">The width of the three dimensional sequence.</param>
/// <param name="height">The height of the three dimensional sequence.</param>
/// <returns>Returns the depth of the three dimensional sequence.</returns>
/// <exception cref="ArgumentOutOfRangeException">
/// width or height is less then 1.
/// </exception>
public static int Get3DDepth<T>(this T[] array, int width, int height)
{
    if (width < 1)
    {
        throw new ArgumentOutOfRangeException("width");
    }

    if (height < 1)
    {
        throw new ArgumentOutOfRangeException("height");
    }

    return array.Length / (width * height);
}

Full repo available at https://bitbucket.org/createdbyx/codefarts.utilities-extension-methods-only

/// <summary>
/// Inserts a source array into the three dimensional sequence.
/// </summary>
/// <typeparam name="T">The type of the array.</typeparam>
/// <param name="array">The array whose value is to be retrieves.</param>
/// <param name="width">The width of the three dimensional sequence.</param>
/// <param name="height">The height of the three dimensional sequence.</param>
/// <param name="destinationArray">The destination array.</param>
/// <param name="depth">The depth of the three dimensional sequence where insertion takes place.</param>
/// <param name="sourceArray">The source array to be inserted.</param>
/// <returns></returns>
/// <exception cref="ArgumentOutOfRangeException">
/// width or height is less then 1. Or depth is less then 0.
/// </exception>
/// <exception cref="ArgumentException">'sourceArray' must not be larger then '(width * height)'.</exception>
/// <remarks>The length of the 'sourceArray' parameter cannot be larger then '(width * height)' otherwise the data it contains would overwrite any data
/// stored at a deeper depth.</remarks>
/// <returns>Returns the updated 'destinationArray'.</returns>
public static T[] Insert3D<T>(this T[] destinationArray, int width, int height, int depth, T[] sourceArray)
{
    if (width < 1)
    {
        throw new ArgumentOutOfRangeException("width");
    }

    if (height < 1)
    {
        throw new ArgumentOutOfRangeException("height");
    }

    if (depth < 0)
    {
        throw new ArgumentOutOfRangeException("depth");
    }

    if (sourceArray == null || sourceArray.Length == 0)
    {
        return destinationArray;
    }

    // ensure source array is no greater then width * height
    if (sourceArray.Length > (width * height))
    {
        throw new ArgumentException("'sourceArray' must not be larger then '(width * height)'", "sourceArray");
    }

    if (sourceArray.Length < (width * height))
    {
        Array.Resize(ref sourceArray, width * height);
    }

    destinationArray = destinationArray.Insert(depth * (width * height), sourceArray);

    // return the updated array
    return destinationArray;
}

Full repo available at https://bitbucket.org/createdbyx/codefarts.utilities-extension-methods-only

/// <summary>
/// Sets the depth of the three dimensional sequence.
/// </summary>
/// <typeparam name="T">The type of the array.</typeparam>
/// <param name="array">The array whose value is to be retrieves.</param>
/// <param name="width">The width of the three dimensional sequence.</param>
/// <param name="height">The height of the three dimensional sequence.</param>
/// <param name="value">The new depth of the three dimensional sequence.</param>
/// <exception cref="ArgumentOutOfRangeException">
/// width or height is less then 1.
/// </exception>
/// <exception cref="ArgumentOutOfRangeException">'value' must be greater then 0.</exception>
public static T[] Set3DDepth<T>(this T[] array, int width, int height, int value)
{
    if (width < 1)
    {
        throw new ArgumentOutOfRangeException("width");
    }

    if (height < 1)
    {
        throw new ArgumentOutOfRangeException("height");
    }

    if (value < 1)
    {
        throw new ArgumentOutOfRangeException("value");
    }

    // resize the array preserving contents
    Array.Resize(ref array, value * (width * height));

    return array;
}

Full repo available at https://bitbucket.org/createdbyx/codefarts.utilities-extension-methods-only

/// <summary>
/// Gets the value in a single dimensional array that represents a three dimensional sequence.
/// </summary>
/// <typeparam name="T">The type of the array.</typeparam>
/// <param name="array">The array whose value is to be retrieves.</param>
/// <param name="width">The width of the three dimensional sequence.</param>
/// <param name="height">The height of the three dimensional sequence.</param>
/// <param name="x">The x index (0 to width - 1).</param>
/// <param name="y">The y index (0 to height - 1).</param>
/// <param name="z">The z index (0 to depth - 1).</param>
/// <returns>Returns the value stored in the array.</returns>
/// <exception cref="ArgumentOutOfRangeException">
/// width or height is less then 1.
/// </exception>
/// <remarks>
/// <p>This method provides an alternative to working with three dimensional arrays "var value = new int[3,3,3];" by operating 
/// on a single dimensional array using a math formula to determine the index into the array.</p>
/// <p>Think of a multi-layered image. Each image layer consists of a grid of cells defined by width * height.</p>
/// <p>We can use the formula "layer * (width * height)" to get the starting index of the layer in the array. 
/// To get the index in the image we can use the formula "(y * width) + x". 
/// Combining these two formulas we can access any grid cell of any layer in the array like so "(layer * (width * height)) + ((y * width) + x)".</p>
/// <p>This method does not perform range checking and will throw index out of range exceptions if invalid arguments are specified.</p></remarks>
public static T Get3D<T>(this T[] array, int width, int height, int x, int y, int z)
{
    if (width < 1)
    {
        throw new ArgumentOutOfRangeException("width");
    }

    if (height < 1)
    {
        throw new ArgumentOutOfRangeException("height");
    }

    return array[(z * (width * height)) + ((y * width) + x)];
}

Full repo available at https://bitbucket.org/createdbyx/codefarts.utilities-extension-methods-only

/// <summary>
/// Sets the value in a single dimensional array that represents a three dimensional sequence.
/// </summary>
/// <typeparam name="T">The type of the array.</typeparam>
/// <param name="array">The array whose value is to be set.</param>
/// <param name="width">The width of the three dimensional sequence.</param>
/// <param name="height">The height of the three dimensional sequence.</param>
/// <param name="x">The x index (0 to width - 1).</param>
/// <param name="y">The y index (0 to height - 1).</param>
/// <param name="z">The z index (0 to depth - 1).</param>
/// <param name="value">The value to set.</param>
/// <exception cref="ArgumentOutOfRangeException">
/// width or height is less then 1.
/// </exception>
/// <remarks>
/// <p>This method provides an alternative to working with three dimensional arrays "var value = new int[3,3,3];" by operating
/// on a single dimensional array using a math formula to determine the index into the array.</p>
/// <p>Think of a multi-layered image. Each image layer consists of a grid of cells defined by width * height.</p>
/// <p>We can use the formula "layer * (width * height)" to get the starting index of the layer in the array.
/// To get the index in the image we can use the formula "(y * width) + x".
/// Combining these two formulas we can access any grid cell of any layer in the array like so "(layer * (width * height)) + ((y * width) + x)".</p>
/// <p>This method does not perform range checking and will throw index out of range exceptions if invalid arguments are specified.</p>
/// </remarks>
public static void Set3D<T>(this T[] array, int width, int height, int x, int y, int z, T value)
{
    if (width < 1)
    {
        throw new ArgumentOutOfRangeException("width");
    }

    if (height < 1)
    {
        throw new ArgumentOutOfRangeException("height");
    }

    array[(z * (width * height)) + ((y * width) + x)] = value;
}