Sierpinski triangle Program Plan: Import required packages. Declare a main class named “E19” which extends the “Application” class. Declare required variables. Declare a “start ()” method which overrides the “start ()” method in the “Application” class. Inside this method, Create a triangle pane. Create two buttons. Create an hbox pane and align it to center. Add the buttons to the hbox pane. Set the event handler for the buttons. Create a border pane and align it to center. Create a scene and place it on the stage. Set the title as “Exercise18_19”. Display the stage on the window using “primaryStage.show()” method. Set the width and height property. Set the event handler for the scene. Check if the button is primary. Set the order of the triangle. Check if the button is secondary. Set the order of the triangle. Check if the button is up. If the condition is true then get and set the order by adding 1. Check if the button is down. If the condition is true then get and set the order by subtracting 1. Declare a class “SierpinskiTrianglePane”. Declare a variable “order”. Give function definition to get the order of the triangle. Return the “order”. Give function definition to set new order. Check if the value of “order” is less than 0. Assign 0 to the “order”. Set the order. Call the function “paint ()”. Give the constructor for the class “SierpinskiTrianglePane”. Give function definition for “paint ()”. Create three points. Clear the pane using “clear ()” function. Call the function “displayTriangles ()”. Give function definition for “displayTriangles ()”. Check of the value of “order” is less than 0. Return the statement. Check if the value of “order” is equal to 0. Create a polygon to draw a triangle. Get the points for the triangle. Set the color and stroke color. Add the triangle to the pane. Else, Get the mid points for the three edges. Call the function “displayTriangles ()” to display the triangles recursively. Declare a main method using “public static main”. Launch the method using “launch ()” method.

Question

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Answer 1

Question

Chapter 18, Problem 18.19PE

Program Plan Intro

Sierpinski triangle

Program Plan:

Import required packages.

Declare a main class named “E19” which extends the “Application” class.

Declare required variables.

Declare a “start ()” method which overrides the “start ()” method in the “Application” class. Inside this method,

Create a triangle pane.

Create two buttons.

Create an hbox pane and align it to center. Add the buttons to the hbox pane.

Set the event handler for the buttons.

Create a border pane and align it to center.

Create a scene and place it on the stage.

Set the title as “Exercise18_19”.

Display the stage on the window using “primaryStage.show()” method.

Set the width and height property.

Set the event handler for the scene.

Check if the button is primary.

Set the order of the triangle.

Check if the button is secondary.

Set the order of the triangle.

Check if the button is up. If the condition is true then get and set the order by adding 1.

Check if the button is down. If the condition is true then get and set the order by subtracting 1.

Declare a class “SierpinskiTrianglePane”.

Declare a variable “order”.

Give function definition to get the order of the triangle.

Return the “order”.

Give function definition to set new order.

Check if the value of “order” is less than 0.

Assign 0 to the “order”.

Set the order.

Call the function “paint ()”.

Give the constructor for the class “SierpinskiTrianglePane”.

Give function definition for “paint ()”.

Create three points.

Clear the pane using “clear ()” function.

Call the function “displayTriangles ()”.

Give function definition for “displayTriangles ()”.

Check of the value of “order” is less than 0.

Return the statement.

Check if the value of “order” is equal to 0.

Create a polygon to draw a triangle.

Get the points for the triangle.

Set the color and stroke color.

Add the triangle to the pane.

Else,

Get the mid points for the three edges.

Call the function “displayTriangles ()” to display the triangles recursively.

Declare a main method using “public static main”.

Launch the method using “launch ()” method.

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Answer 2

Question

Chapter 18, Problem 18.19PE

Program Plan Intro

Sierpinski triangle

Program Plan:

Import required packages.

Declare a main class named “E19” which extends the “Application” class.

Declare required variables.

Declare a “start ()” method which overrides the “start ()” method in the “Application” class. Inside this method,

Create a triangle pane.

Create two buttons.

Create an hbox pane and align it to center. Add the buttons to the hbox pane.

Set the event handler for the buttons.

Create a border pane and align it to center.

Create a scene and place it on the stage.

Set the title as “Exercise18_19”.

Display the stage on the window using “primaryStage.show()” method.

Set the width and height property.

Set the event handler for the scene.

Check if the button is primary.

Set the order of the triangle.

Check if the button is secondary.

Set the order of the triangle.

Check if the button is up. If the condition is true then get and set the order by adding 1.

Check if the button is down. If the condition is true then get and set the order by subtracting 1.

Declare a class “SierpinskiTrianglePane”.

Declare a variable “order”.

Give function definition to get the order of the triangle.

Return the “order”.

Give function definition to set new order.

Check if the value of “order” is less than 0.

Assign 0 to the “order”.

Set the order.

Call the function “paint ()”.

Give the constructor for the class “SierpinskiTrianglePane”.

Give function definition for “paint ()”.

Create three points.

Clear the pane using “clear ()” function.

Call the function “displayTriangles ()”.

Give function definition for “displayTriangles ()”.

Check of the value of “order” is less than 0.

Return the statement.

Check if the value of “order” is equal to 0.

Create a polygon to draw a triangle.

Get the points for the triangle.

Set the color and stroke color.

Add the triangle to the pane.

Else,

Get the mid points for the three edges.

Call the function “displayTriangles ()” to display the triangles recursively.

Declare a main method using “public static main”.

Launch the method using “launch ()” method.

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Answer 3

Question

Chapter 18, Problem 18.19PE

Program Plan Intro

Sierpinski triangle

Program Plan:

Import required packages.

Declare a main class named “E19” which extends the “Application” class.

Declare required variables.

Declare a “start ()” method which overrides the “start ()” method in the “Application” class. Inside this method,

Create a triangle pane.

Create two buttons.

Create an hbox pane and align it to center. Add the buttons to the hbox pane.

Set the event handler for the buttons.

Create a border pane and align it to center.

Create a scene and place it on the stage.

Set the title as “Exercise18_19”.

Display the stage on the window using “primaryStage.show()” method.

Set the width and height property.

Set the event handler for the scene.

Check if the button is primary.

Set the order of the triangle.

Check if the button is secondary.

Set the order of the triangle.

Check if the button is up. If the condition is true then get and set the order by adding 1.

Check if the button is down. If the condition is true then get and set the order by subtracting 1.

Declare a class “SierpinskiTrianglePane”.

Declare a variable “order”.

Give function definition to get the order of the triangle.

Return the “order”.

Give function definition to set new order.

Check if the value of “order” is less than 0.

Assign 0 to the “order”.

Set the order.

Call the function “paint ()”.

Give the constructor for the class “SierpinskiTrianglePane”.

Give function definition for “paint ()”.

Create three points.

Clear the pane using “clear ()” function.

Call the function “displayTriangles ()”.

Give function definition for “displayTriangles ()”.

Check of the value of “order” is less than 0.

Return the statement.

Check if the value of “order” is equal to 0.

Create a polygon to draw a triangle.

Get the points for the triangle.

Set the color and stroke color.

Add the triangle to the pane.

Else,

Get the mid points for the three edges.

Call the function “displayTriangles ()” to display the triangles recursively.

Declare a main method using “public static main”.

Launch the method using “launch ()” method.

Expert Solution & Answer

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Answer 4

Question

Chapter 18, Problem 18.19PE

Program Plan Intro

Sierpinski triangle

Program Plan:

Import required packages.

Declare a main class named “E19” which extends the “Application” class.

Declare required variables.

Declare a “start ()” method which overrides the “start ()” method in the “Application” class. Inside this method,

Create a triangle pane.

Create two buttons.

Create an hbox pane and align it to center. Add the buttons to the hbox pane.

Set the event handler for the buttons.

Create a border pane and align it to center.

Create a scene and place it on the stage.

Set the title as “Exercise18_19”.

Display the stage on the window using “primaryStage.show()” method.

Set the width and height property.

Set the event handler for the scene.

Check if the button is primary.

Set the order of the triangle.

Check if the button is secondary.

Set the order of the triangle.

Check if the button is up. If the condition is true then get and set the order by adding 1.

Check if the button is down. If the condition is true then get and set the order by subtracting 1.

Declare a class “SierpinskiTrianglePane”.

Declare a variable “order”.

Give function definition to get the order of the triangle.

Return the “order”.

Give function definition to set new order.

Check if the value of “order” is less than 0.

Assign 0 to the “order”.

Set the order.

Call the function “paint ()”.

Give the constructor for the class “SierpinskiTrianglePane”.

Give function definition for “paint ()”.

Create three points.

Clear the pane using “clear ()” function.

Call the function “displayTriangles ()”.

Give function definition for “displayTriangles ()”.

Check of the value of “order” is less than 0.

Return the statement.

Check if the value of “order” is equal to 0.

Create a polygon to draw a triangle.

Get the points for the triangle.

Set the color and stroke color.

Add the triangle to the pane.

Else,

Get the mid points for the three edges.

Call the function “displayTriangles ()” to display the triangles recursively.

Declare a main method using “public static main”.

Launch the method using “launch ()” method.

Expert Solution & Answer

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See solution

Answer 5

Chapter 18, Problem 18.19PE

Program Plan Intro

Sierpinski triangle

Program Plan:

Import required packages.

Declare a main class named “E19” which extends the “Application” class.

Declare required variables.

Declare a “start ()” method which overrides the “start ()” method in the “Application” class. Inside this method,

Create a triangle pane.

Create two buttons.

Create an hbox pane and align it to center. Add the buttons to the hbox pane.

Set the event handler for the buttons.

Create a border pane and align it to center.

Create a scene and place it on the stage.

Set the title as “Exercise18_19”.

Display the stage on the window using “primaryStage.show()” method.

Set the width and height property.

Set the event handler for the scene.

Check if the button is primary.

Set the order of the triangle.

Check if the button is secondary.

Set the order of the triangle.

Check if the button is up. If the condition is true then get and set the order by adding 1.

Check if the button is down. If the condition is true then get and set the order by subtracting 1.

Declare a class “SierpinskiTrianglePane”.

Declare a variable “order”.

Give function definition to get the order of the triangle.

Return the “order”.

Give function definition to set new order.

Check if the value of “order” is less than 0.

Assign 0 to the “order”.

Set the order.

Call the function “paint ()”.

Give the constructor for the class “SierpinskiTrianglePane”.

Give function definition for “paint ()”.

Create three points.

Clear the pane using “clear ()” function.

Call the function “displayTriangles ()”.

Give function definition for “displayTriangles ()”.

Check of the value of “order” is less than 0.

Return the statement.

Check if the value of “order” is equal to 0.

Create a polygon to draw a triangle.

Get the points for the triangle.

Set the color and stroke color.

Add the triangle to the pane.

Else,

Get the mid points for the three edges.

Call the function “displayTriangles ()” to display the triangles recursively.

Declare a main method using “public static main”.

Launch the method using “launch ()” method.

Answer 6

Chapter 18, Problem 18.19PE

Program Plan Intro

Sierpinski triangle

Program Plan:

Import required packages.

Declare a main class named “E19” which extends the “Application” class.

Declare required variables.

Declare a “start ()” method which overrides the “start ()” method in the “Application” class. Inside this method,

Create a triangle pane.

Create two buttons.

Create an hbox pane and align it to center. Add the buttons to the hbox pane.

Set the event handler for the buttons.

Create a border pane and align it to center.

Create a scene and place it on the stage.

Set the title as “Exercise18_19”.

Display the stage on the window using “primaryStage.show()” method.

Set the width and height property.

Set the event handler for the scene.

Check if the button is primary.

Set the order of the triangle.

Check if the button is secondary.

Set the order of the triangle.

Check if the button is up. If the condition is true then get and set the order by adding 1.

Check if the button is down. If the condition is true then get and set the order by subtracting 1.

Declare a class “SierpinskiTrianglePane”.

Declare a variable “order”.

Give function definition to get the order of the triangle.

Return the “order”.

Give function definition to set new order.

Check if the value of “order” is less than 0.

Assign 0 to the “order”.

Set the order.

Call the function “paint ()”.

Give the constructor for the class “SierpinskiTrianglePane”.

Give function definition for “paint ()”.

Create three points.

Clear the pane using “clear ()” function.

Call the function “displayTriangles ()”.

Give function definition for “displayTriangles ()”.

Check of the value of “order” is less than 0.

Return the statement.

Check if the value of “order” is equal to 0.

Create a polygon to draw a triangle.

Get the points for the triangle.

Set the color and stroke color.

Add the triangle to the pane.

Else,

Get the mid points for the three edges.

Call the function “displayTriangles ()” to display the triangles recursively.

Declare a main method using “public static main”.

Launch the method using “launch ()” method.

Answer 7

Chapter 18, Problem 18.19PE

Program Plan Intro

Sierpinski triangle

Program Plan:

Import required packages.

Declare a main class named “E19” which extends the “Application” class.

Declare required variables.

Declare a “start ()” method which overrides the “start ()” method in the “Application” class. Inside this method,

Create a triangle pane.

Create two buttons.

Create an hbox pane and align it to center. Add the buttons to the hbox pane.

Set the event handler for the buttons.

Create a border pane and align it to center.

Create a scene and place it on the stage.

Set the title as “Exercise18_19”.

Display the stage on the window using “primaryStage.show()” method.

Set the width and height property.

Set the event handler for the scene.

Check if the button is primary.

Set the order of the triangle.

Check if the button is secondary.

Set the order of the triangle.

Check if the button is up. If the condition is true then get and set the order by adding 1.

Check if the button is down. If the condition is true then get and set the order by subtracting 1.

Declare a class “SierpinskiTrianglePane”.

Declare a variable “order”.

Give function definition to get the order of the triangle.

Return the “order”.

Give function definition to set new order.

Check if the value of “order” is less than 0.

Assign 0 to the “order”.

Set the order.

Call the function “paint ()”.

Give the constructor for the class “SierpinskiTrianglePane”.

Give function definition for “paint ()”.

Create three points.

Clear the pane using “clear ()” function.

Call the function “displayTriangles ()”.

Give function definition for “displayTriangles ()”.

Check of the value of “order” is less than 0.

Return the statement.

Check if the value of “order” is equal to 0.

Create a polygon to draw a triangle.

Get the points for the triangle.

Set the color and stroke color.

Add the triangle to the pane.

Else,

Get the mid points for the three edges.

Call the function “displayTriangles ()” to display the triangles recursively.

Declare a main method using “public static main”.

Launch the method using “launch ()” method.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 18.2 - What is a recursive method? What is an infinite...Ch. 18.2 - Prob. 18.2.2CP Ch. 18.2 - Show the output of the following programs and...Ch. 18.2 - Prob. 18.2.4CP Ch. 18.2 - Prob. 18.2.5CP Ch. 18.2 - Write a recursive mathematical definition for...Ch. 18.3 - Prob. 18.3.1CP Ch. 18.3 - What is wrong in the following methods?Ch. 18.3 - Prob. 18.3.3CP Ch. 18.4 - Describe the characteristics of recursive methods.

Solution Summary: The author explains the Sierpinski triangle Program Plan: Import required packages. Declare a main class named "E19" which extends the "Application" class.

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