Skills Please write a program to display H$-$tree fractal described as follows:

Begin with a letter H $.$ The three lines of the H are of the same length, as shown

in Figure a$.$

The letter H $($in its sans$-$serif form, H $)$ has four endpoints. Draw an H centered

at each of the four endpoints to an H$-$tree of order $1,$ as shown in Figure b$.$ These

H $\text{'}$s are half the size of the H that contains the four endpoints.

Repeat step $2$ to create a H$-$tree of order $2,3,..,$ and so on$,$ as shown in Figure

$c-d.$

The H$-$tree is used in VLSI design as a clock distribution network for routing

timing signals to all parts of a chip with equal propagation delays. Write an

Application that draws an H$-$tree, as shown in the figure.

What to upload in CANVAS?

Java source file

Screen shot of two sample runs

Fill in self$-$evaluation:

Can your program display a single H shape?

Can your program display H shapes recursively?

Can your shape fill in the entire frame when the frame is resized?

The purpose of this assignment is to help you practice the following skills that are essential to your success in this course $/$ in school $/$ in this field $/$ in professional life beyond school:

Review what a recursion method is and its benefits

Develop recursive methods

Review how recursive methods calls are handled in the call stack.

Solve problems using recursion

Solve the Tower of Hanoi problem using recursion

Draw fractals using recursion

Review tail$-$recursive methods

Knowledge

This assignment will also help you to become familiar with the following important content knowledge in this discipline:

Recursive algorithm

Problem$-$solving using recursion

Tasks

Begin with the letter $H.$ The three lines of the $H$ are of the same length, as shown in Figure $($a$)$ in the attached PDF$.$

Repeat step $2$ to create an H $-$tree of order $2,3,$dots, and so on$,$ as shown in Figure c $-$d in the PDF$.$

in java show the code so ic an see how to do it