OOP in Python 3

Object-Oriented Programming (OOP) in Python

by David Amos intermediate python

Watch Now This tutorial has a related video course created by the Real Python team. Watch it together with the written tutorial to deepen your understanding: Intro to Object-Oriented Programming (OOP) in Python

Object-oriented programming (OOP) is a method of structuring a program by bundling related properties and behaviors into individual objects. In this tutorial, you’ll learn the basics of object-oriented programming in Python.

Conceptually, objects are like the components of a system. Think of a program as a factory assembly line of sorts. At each step of the assembly line, a system component processes some material, ultimately transforming raw material into a finished product.

An object contains data, like the raw or preprocessed materials at each step on an assembly line. In addition, the object contains behavior, like the action that each assembly line component performs.

In this tutorial, you’ll learn how to:

  • Define a class, which is like a blueprint for creating an object
  • Use classes to create new objects
  • Model systems with class inheritance

Take the Quiz: Test your knowledge with our interactive “Object-Oriented Programming (OOP) in Python” quiz. You’ll receive a score upon completion to help you track your learning progress:


Interactive Quiz

Object-Oriented Programming (OOP) in Python

Object-oriented programming (OOP) is a method of structuring a program by bundling related properties and behaviors into individual objects.

What Is Object-Oriented Programming in Python?

Object-oriented programming is a programming paradigm that provides a means of structuring programs so that properties and behaviors are bundled into individual objects.

For example, an object could represent a person with properties like a name, age, and address and behaviors such as walking, talking, breathing, and running. Or it could represent an email with properties like a recipient list, subject, and body and behaviors like adding attachments and sending.

Put another way, object-oriented programming is an approach for modeling concrete, real-world things, like cars, as well as relations between things, like companies and employees or students and teachers. OOP models real-world entities as software objects that have some data associated with them and can perform certain operations.

The key takeaway is that objects are at the center of object-oriented programming in Python. In other programming paradigms, objects only represent the data. In OOP, they additionally inform the overall structure of the program.

How Do You Define a Class in Python?

In Python, you define a class by using the class keyword followed by a name and a colon. Then you use .__init__() to declare which attributes each instance of the class should have:

Python
class Employee:
    def __init__(self, name, age):
        self.name =  name
        self.age = age

But what does all of that mean? And why do you even need classes in the first place? Take a step back and consider using built-in, primitive data structures as an alternative.

Primitive data structures—like numbers, strings, and lists—are designed to represent straightforward pieces of information, such as the cost of an apple, the name of a poem, or your favorite colors, respectively. What if you want to represent something more complex?

For example, you might want to track employees in an organization. You need to store some basic information about each employee, such as their name, age, position, and the year they started working.

One way to do this is to represent each employee as a list:

Python
kirk = ["James Kirk", 34, "Captain", 2265]
spock = ["Spock", 35, "Science Officer", 2254]
mccoy = ["Leonard McCoy", "Chief Medical Officer", 2266]

There are a number of issues with this approach.

First, it can make larger code files more difficult to manage. If you reference kirk[0] several lines away from where you declared the kirk list, will you remember that the element with index 0 is the employee’s name?

Second, it can introduce errors if employees don’t have the same number of elements in their respective lists. In the mccoy list above, the age is missing, so mccoy[1] will return "Chief Medical Officer" instead of Dr. McCoy’s age.

A great way to make this type of code more manageable and more maintainable is to use classes.

Classes vs Instances

Classes allow you to create user-defined data structures. Classes define functions called methods, which identify the behaviors and actions that an object created from the class can perform with its data.

In this tutorial, you’ll create a Dog class that stores some information about the characteristics and behaviors that an individual dog can have.

A class is a blueprint for how to define something. It doesn’t actually contain any data. The Dog class specifies that a name and an age are necessary for defining a dog, but it doesn’t contain the name or age of any specific dog.

While the class is the blueprint, an instance is an object that’s built from a class and contains real data. An instance of the Dog class is not a blueprint anymore. It’s an actual dog with a name, like Miles, who’s four years old.

Put another way, a class is like a form or questionnaire. An instance is like a form that you’ve filled out with information. Just like many people can fill out the same form with their own unique information, you can create many instances from a single class.

Class Definition

You start all class definitions with the class keyword, then add the name of the class and a colon. Python will consider any code that you indent below the class definition as part of the class’s body.

Here’s an example of a Dog class:

Python
# dog.py

class Dog:
    pass

The body of the Dog class consists of a single statement: the pass keyword. Python programmers often use pass as a placeholder indicating where code will eventually go. It allows you to run this code without Python throwing an error.

The Dog class isn’t very interesting right now, so you’ll spruce it up a bit by defining some properties that all Dog objects should have. There are several properties that you can choose from, including name, age, coat color, and breed. To keep the example small in scope, you’ll just use name and age.

You define the properties that all Dog objects must have in a method called .__init__(). Every time you create a new Dog object, .__init__() sets the initial state of the object by assigning the values of the object’s properties. That is, .__init__() initializes each new instance of the class.

You can give .__init__() any number of parameters, but the first parameter will always be a variable called self. When you create a new class instance, then Python automatically passes the instance to the self parameter in .__init__() so that Python can define the new attributes on the object.

Update the Dog class with an .__init__() method that creates .name and .age attributes:

Python
# dog.py

class Dog:
    def __init__(self, name, age):
        self.name = name
        self.age = age

Make sure that you indent the .__init__() method’s signature by four spaces, and the body of the method by eight spaces. This indentation is vitally important. It tells Python that the .__init__() method belongs to the Dog class.

In the body of .__init__(), there are two statements using the self variable:

  1. self.name = name creates an attribute called name and assigns the value of the name parameter to it.
  2. self.age = age creates an attribute called age and assigns the value of the age parameter to it.

Attributes created in .__init__() are called instance attributes. An instance attribute’s value is specific to a particular instance of the class. All Dog objects have a name and an age, but the values for the name and age attributes will vary depending on the Dog instance.

On the other hand, class attributes are attributes that have the same value for all class instances. You can define a class attribute by assigning a value to a variable name outside of .__init__().

For example, the following Dog class has a class attribute called species with the value "Canis familiaris":

Python
# dog.py

class Dog:
    species = "Canis familiaris"

    def __init__(self, name, age):
        self.name = name
        self.age = age

You define class attributes directly beneath the first line of the class name and indent them by four spaces. You always need to assign them an initial value. When you create an instance of the class, then Python automatically creates and assigns class attributes to their initial values.

Use class attributes to define properties that should have the same value for every class instance. Use instance attributes for properties that vary from one instance to another.

Now that you have a Dog class, it’s time to create some dogs!

How Do You Instantiate a Class in Python?

Creating a new object from a class is called instantiating a class. You can create a new object by typing the name of the class, followed by opening and closing parentheses:

Python
>>> class Dog:
...     pass
...
>>> Dog()
<__main__.Dog object at 0x106702d30>

You first create a new Dog class with no attributes or methods, and then you instantiate the Dog class to create a Dog object.

In the output above, you can see that you now have a new Dog object at 0x106702d30. This funny-looking string of letters and numbers is a memory address that indicates where Python stores the Dog object in your computer’s memory. Note that the address on your screen will be different.

Now instantiate the Dog class a second time to create another Dog object:

Python
>>> Dog()
<__main__.Dog object at 0x0004ccc90>

The new Dog instance is located at a different memory address. That’s because it’s an entirely new instance and is completely unique from the first Dog object that you created.

To see this another way, type the following:

Python
>>> a = Dog()
>>> b = Dog()
>>> a == b
False

In this code, you create two new Dog objects and assign them to the variables a and b. When you compare a and b using the == operator, the result is False. Even though a and b are both instances of the Dog class, they represent two distinct objects in memory.

Class and Instance Attributes

Now create a new Dog class with a class attribute called .species and two instance attributes called .name and .age:

Python
>>> class Dog:
...     species = "Canis familiaris"
...     def __init__(self, name, age):
...         self.name = name
...         self.age = age
...

To instantiate this Dog class, you need to provide values for name and age. If you don’t, then Python raises a TypeError:

Python
>>> Dog()
Traceback (most recent call last):
  ...
TypeError: __init__() missing 2 required positional arguments: 'name' and 'age'

To pass arguments to the name and age parameters, put values into the parentheses after the class name:

Python
>>> miles = Dog("Miles", 4)
>>> buddy = Dog("Buddy", 9)

This creates two new Dog instances—one for a four-year-old dog named Miles and one for a nine-year-old dog named Buddy.

The Dog class’s .__init__() method has three parameters, so why are you only passing two arguments to it in the example?

When you instantiate the Dog class, Python creates a new instance of Dog and passes it to the first parameter of .__init__(). This essentially removes the self parameter, so you only need to worry about the name and age parameters.

After you create the Dog instances, you can access their instance attributes using dot notation:

Python
>>> miles.name
'Miles'
>>> miles.age
4

>>> buddy.name
'Buddy'
>>> buddy.age
9

You can access class attributes the same way:

Python
>>> buddy.species
'Canis familiaris'

One of the biggest advantages of using classes to organize data is that instances are guaranteed to have the attributes you expect. All Dog instances have .species, .name, and .age attributes, so you can use those attributes with confidence, knowing that they’ll always return a value.

Although the attributes are guaranteed to exist, their values can change dynamically:

Python
>>> buddy.age = 10
>>> buddy.age
10

>>> miles.species = "Felis silvestris"
>>> miles.species
'Felis silvestris'

In this example, you change the .age attribute of the buddy object to 10. Then you change the .species attribute of the miles object to "Felis silvestris", which is a species of cat. That makes Miles a pretty strange dog, but it’s valid Python!

The key takeaway here is that custom objects are mutable by default. An object is mutable if you can alter it dynamically. For example, lists and dictionaries are mutable, but strings and tuples are immutable.

Instance Methods

Instance methods are functions that you define inside a class and can only call on an instance of that class. Just like .__init__(), an instance method always takes self as its first parameter.

Open a new editor window in IDLE and type in the following Dog class:

Python
# dog.py

class Dog:
    species = "Canis familiaris"

    def __init__(self, name, age):
        self.name = name
        self.age = age

    # Instance method
    def description(self):
        return f"{self.name} is {self.age} years old"

    # Another instance method
    def speak(self, sound):
        return f"{self.name} says {sound}"

This Dog class has two instance methods:

  1. .description() returns a string displaying the name and age of the dog.
  2. .speak() has one parameter called sound and returns a string containing the dog’s name and the sound that the dog makes.

Save the modified Dog class to a file called dog.py and press F5 to run the program. Then open the interactive window and type the following to see your instance methods in action:

Python
>>> miles = Dog("Miles", 4)

>>> miles.description()
'Miles is 4 years old'

>>> miles.speak("Woof Woof")
'Miles says Woof Woof'

>>> miles.speak("Bow Wow")
'Miles says Bow Wow'

In the above Dog class, .description() returns a string containing information about the Dog instance miles. When writing your own classes, it’s a good idea to have a method that returns a string containing useful information about an instance of the class. However, .description() isn’t the most Pythonic way of doing this.

When you create a list object, you can use print() to display a string that looks like the list:

Python
>>> names = ["Miles", "Buddy", "Jack"]
>>> print(names)
['Miles', 'Buddy', 'Jack']

Go ahead and print the miles object to see what output you get:

Python
>>> print(miles)
<__main__.Dog object at 0x00aeff70>

When you print miles, you get a cryptic-looking message telling you that miles is a Dog object at the memory address 0x00aeff70. This message isn’t very helpful. You can change what gets printed by defining a special instance method called .__str__().

In the editor window, change the name of the Dog class’s .description() method to .__str__():

Python
# dog.py

class Dog:
    # ...

    def __str__(self):
        return f"{self.name} is {self.age} years old"

Save the file and press F5. Now, when you print miles, you get a much friendlier output:

Python
>>> miles = Dog("Miles", 4)
>>> print(miles)
'Miles is 4 years old'

Methods like .__init__() and .__str__() are called dunder methods because they begin and end with double underscores. There are many dunder methods that you can use to customize classes in Python. Understanding dunder methods is an important part of mastering object-oriented programming in Python, but for your first exploration of the topic, you’ll stick with these two dunder methods.

If you want to reinforce your understanding with a practical exercise, then you can click on the block below and work on solving the challenge:

Create a Car class with two instance attributes:

  1. .color, which stores the name of the car’s color as a string
  2. .mileage, which stores the number of miles on the car as an integer

Then create two Car objects—a blue car with twenty thousand miles and a red car with thirty thousand miles—and print out their colors and mileage. Your output should look like this:

Shell
The blue car has 20,000 miles
The red car has 30,000 miles

There are multiple ways to solve this challenge. To effectively practice what you’ve learned so far, try to solve the task with the information about classes in Python that you’ve gathered in this section.

When you’re done with your own implementation of the challenge, then you can expand the block below to see a possible solution:

First, create a Car class with .color and .mileage instance attributes, and a .__str__() method to format the display of objects when you pass them to print():

Python
>>> class Car:
...     def __init__(self, color, mileage):
...         self.color = color
...         self.mileage = mileage
...     def __str__(self):
...         return f"The {self.color} car has {self.mileage:,} miles"
...

The color and mileage parameters of .__init__() are assigned to self.color and self.mileage, which creates the two instance attributes.

The .__str__() method interpolates both instance attributes into an f-string and uses the :, format specifier to print the mileage grouped by thousands and separated with a comma.

Now you can create the two Car instances:

Python
>>> blue_car = Car(color="blue", mileage=20_000)
>>> red_car = Car(color="red", mileage=30_000)

You create the blue_car instance by passing the value "blue" to the color parameter and 20_000 to the mileage parameter. Similarly, you create red_car with the values "red" and 30_000.

To print the color and mileage of each Car object, you can loop over a tuple containing both objects and print each object:

Python
>>> for car in (blue_car, red_car):
...     print(car)
...
The blue car has 20,000 miles
The red car has 30,000 miles

Because you’ve defined their string representation in .__str__(), printing the objects gives you the desired text output.

When you’re ready, you can move on to the next section. There, you’ll see how to take your knowledge one step further and create classes from other classes.

How Do You Inherit From Another Class in Python?

Inheritance is the process by which one class takes on the attributes and methods of another. Newly formed classes are called child classes, and the classes that you derive child classes from are called parent classes.

You inherit from a parent class by creating a new class and putting the name of the parent class into parentheses:

Python
# inheritance.py

class Parent:
    hair_color = "brown"

class Child(Parent):
    pass

In this minimal example, the child class Child inherits from the parent class Parent. Because child classes take on the attributes and methods of parent classes, Child.hair_color is also "brown" without your explicitly defining that.

Child classes can override or extend the attributes and methods of parent classes. In other words, child classes inherit all of the parent’s attributes and methods but can also specify attributes and methods that are unique to themselves.

Although the analogy isn’t perfect, you can think of object inheritance sort of like genetic inheritance.

You may have inherited your hair color from your parents. It’s an attribute that you were born with. But maybe you decide to color your hair purple. Assuming that your parents don’t have purple hair, you’ve just overridden the hair color attribute that you inherited from your parents:

Python
# inheritance.py

class Parent:
    hair_color = "brown"

class Child(Parent):
    hair_color = "purple"

If you change the code example like this, then Child.hair_color will be "purple".

You also inherit, in a sense, your language from your parents. If your parents speak English, then you’ll also speak English. Now imagine you decide to learn a second language, like German. In this case, you’ve extended your attributes because you’ve added an attribute that your parents don’t have:

Python
# inheritance.py

class Parent:
    speaks = ["English"]

class Child(Parent):
    def __init__(self):
        super().__init__()
        self.speaks.append("German")

You’ll learn more about how the code above works in the sections below. But before you dive deeper into inheritance in Python, you’ll take a walk to a dog park to better understand why you might want to use inheritance in your own code.

Example: Dog Park

Pretend for a moment that you’re at a dog park. There are many dogs of different breeds at the park, all engaging in various dog behaviors.

Suppose now that you want to model the dog park with Python classes. The Dog class that you wrote in the previous section can distinguish dogs by name and age but not by breed.

You could modify the Dog class in the editor window by adding a .breed attribute:

Python
# dog.py

class Dog:
    species = "Canis familiaris"

    def __init__(self, name, age, breed):
        self.name = name
        self.age = age
        self.breed = breed

    def __str__(self):
        return f"{self.name} is {self.age} years old"

    def speak(self, sound):
        return f"{self.name} says {sound}"

Press F5 to save the file. Now you can model the dog park by creating a bunch of different dogs in the interactive window:

Python
>>> miles = Dog("Miles", 4, "Jack Russell Terrier")
>>> buddy = Dog("Buddy", 9, "Dachshund")
>>> jack = Dog("Jack", 3, "Bulldog")
>>> jim = Dog("Jim", 5, "Bulldog")

Each breed of dog has slightly different behaviors. For example, bulldogs have a low bark that sounds like woof, but dachshunds have a higher-pitched bark that sounds more like yap.

Using just the Dog class, you must supply a string for the sound argument of .speak() every time you call it on a Dog instance:

Python
>>> buddy.speak("Yap")
'Buddy says Yap'

>>> jim.speak("Woof")
'Jim says Woof'

>>> jack.speak("Woof")
'Jack says Woof'

Passing a string to every call to .speak() is repetitive and inconvenient. Moreover, the .breed attribute should determine the string representing the sound that each Dog instance makes, but here you have to manually pass the correct string to .speak() every time you call it.

You can simplify the experience of working with the Dog class by creating a child class for each breed of dog. This allows you to extend the functionality that each child class inherits, including specifying a default argument for .speak().

Parent Classes vs Child Classes

In this section, you’ll create a child class for each of the three breeds mentioned above: Jack Russell terrier, dachshund, and bulldog.

For reference, here’s the full definition of the Dog class that you’re currently working with:

Python
# dog.py

class Dog:
    species = "Canis familiaris"

    def __init__(self, name, age):
        self.name = name
        self.age = age

    def __str__(self):
        return f"{self.name} is {self.age} years old"

    def speak(self, sound):
        return f"{self.name} says {sound}"

After doing the dog park example in the previous section, you’ve removed .breed again. You’ll now write code to keep track of a dog’s breed using child classes instead.

To create a child class, you create a new class with its own name and then put the name of the parent class in parentheses. Add the following to the dog.py file to create three new child classes of the Dog class:

Python
# dog.py

# ...

class JackRussellTerrier(Dog):
    pass

class Dachshund(Dog):
    pass

class Bulldog(Dog):
    pass

Press F5 to save and run the file. With the child classes defined, you can now create some dogs of specific breeds in the interactive window:

Python
>>> miles = JackRussellTerrier("Miles", 4)
>>> buddy = Dachshund("Buddy", 9)
>>> jack = Bulldog("Jack", 3)
>>> jim = Bulldog("Jim", 5)

Instances of child classes inherit all of the attributes and methods of the parent class:

Python
>>> miles.species
'Canis familiaris'

>>> buddy.name
'Buddy'

>>> print(jack)
Jack is 3 years old

>>> jim.speak("Woof")
'Jim says Woof'

To determine which class a given object belongs to, you can use the built-in type():

Python
>>> type(miles)
<class '__main__.JackRussellTerrier'>

What if you want to determine if miles is also an instance of the Dog class? You can do this with the built-in isinstance():

Python
>>> isinstance(miles, Dog)
True

Notice that isinstance() takes two arguments, an object and a class. In the example above, isinstance() checks if miles is an instance of the Dog class and returns True.

The miles, buddy, jack, and jim objects are all Dog instances, but miles isn’t a Bulldog instance, and jack isn’t a Dachshund instance:

Python
>>> isinstance(miles, Bulldog)
False

>>> isinstance(jack, Dachshund)
False

More generally, all objects created from a child class are instances of the parent class, although they may not be instances of other child classes.

Now that you’ve created child classes for some different breeds of dogs, you can give each breed its own sound.

Parent Class Functionality Extension

Since different breeds of dogs have slightly different barks, you want to provide a default value for the sound argument of their respective .speak() methods. To do this, you need to override .speak() in the class definition for each breed.

To override a method defined on the parent class, you define a method with the same name on the child class. Here’s what that looks like for the JackRussellTerrier class:

Python
# dog.py

# ...

class JackRussellTerrier(Dog):
    def speak(self, sound="Arf"):
        return f"{self.name} says {sound}"

# ...    

Now .speak() is defined on the JackRussellTerrier class with the default argument for sound set to "Arf".

Update dog.py with the new JackRussellTerrier class and press F5 to save and run the file. You can now call .speak() on a JackRussellTerrier instance without passing an argument to sound:

Python
>>> miles = JackRussellTerrier("Miles", 4)
>>> miles.speak()
'Miles says Arf'

Sometimes dogs make different noises, so if Miles gets angry and growls, you can still call .speak() with a different sound:

Python
>>> miles.speak("Grrr")
'Miles says Grrr'

One thing to keep in mind about class inheritance is that changes to the parent class automatically propagate to child classes. This occurs as long as the attribute or method being changed isn’t overridden in the child class.

For example, in the editor window, change the string returned by .speak() in the Dog class:

Python
# dog.py

class Dog:
    # ...

    def speak(self, sound):
        return f"{self.name} barks: {sound}"

# ...

Save the file and press F5. Now, when you create a new Bulldog instance named jim, jim.speak() returns the new string:

Python
>>> jim = Bulldog("Jim", 5)
>>> jim.speak("Woof")
'Jim barks: Woof'

However, calling .speak() on a JackRussellTerrier instance won’t show the new style of output:

Python
>>> miles = JackRussellTerrier("Miles", 4)
>>> miles.speak()
'Miles says Arf'

Sometimes it makes sense to completely override a method from a parent class. But in this case, you don’t want the JackRussellTerrier class to lose any changes that you might make to the formatting of the Dog.speak() output string.

To do this, you still need to define a .speak() method on the child JackRussellTerrier class. But instead of explicitly defining the output string, you need to call the Dog class’s .speak() from inside the child class’s .speak() using the same arguments that you passed to JackRussellTerrier.speak().

You can access the parent class from inside a method of a child class by using super():

Python
# dog.py

# ...

class JackRussellTerrier(Dog):
    def speak(self, sound="Arf"):
        return super().speak(sound)

# ...

When you call super().speak(sound) inside JackRussellTerrier, Python searches the parent class, Dog, for a .speak() method and calls it with the variable sound.

Update dog.py with the new JackRussellTerrier class. Save the file and press F5 so you can test it in the interactive window:

Python
>>> miles = JackRussellTerrier("Miles", 4)
>>> miles.speak()
'Miles barks: Arf'

Now when you call miles.speak(), you’ll see output reflecting the new formatting in the Dog class.

If you want to check your understanding of the concepts that you learned about in this section with a practical exercise, then you can click on the block below and work on solving the challenge:

Start with the following code for your parent Dog class:

Python
# dog.py

class Dog:
    species = "Canis familiaris"

    def __init__(self, name, age):
        self.name = name
        self.age = age

    def __str__(self):
        return f"{self.name} is {self.age} years old"

    def speak(self, sound):
        return f"{self.name} says {sound}"

Create a GoldenRetriever class that inherits from the Dog class. Give the sound argument of GoldenRetriever.speak() a default value of "Bark".

When you’re done with your own implementation of the challenge, then you can expand the block below to see a possible solution:

Create a class called GoldenRetriever that inherits from the Dog class and overrides the .speak() method:

Python
# dog.py

# ...

class GoldenRetriever(Dog):
    def speak(self, sound="Bark"):
        return super().speak(sound)

You give "Bark" as the default value to the sound parameter in GoldenRetriever.speak(). Then you use super() to call the .speak() method of the parent class with the same argument passed to sound as the GoldenRetriever class’s .speak() method.

Nice work! In this section, you’ve learned how to override and extend methods from a parent class, and you worked on a small practical example to cement your new skills.

Conclusion

In this tutorial, you learned about object-oriented programming (OOP) in Python. Most modern programming languages, such as Java, C#, and C++, follow OOP principles, so the knowledge that you gained here will be applicable no matter where your programming career takes you.

In this tutorial, you learned how to:

  • Define a class, which is a sort of blueprint for an object
  • Instantiate a class to create an object
  • Use attributes and methods to define the properties and behaviors of an object
  • Use inheritance to create child classes from a parent class
  • Reference a method on a parent class using super()
  • Check if an object inherits from another class using isinstance()

If you enjoyed what you learned in this sample from Python Basics: A Practical Introduction to Python 3, then be sure to check out the rest of the book and check out our introduction to Python learning path.

Take the Quiz: Test your knowledge with our interactive “Object-Oriented Programming (OOP) in Python” quiz. You’ll receive a score upon completion to help you track your learning progress:


Interactive Quiz

Object-Oriented Programming (OOP) in Python

Object-oriented programming (OOP) is a method of structuring a program by bundling related properties and behaviors into individual objects.

Watch Now This tutorial has a related video course created by the Real Python team. Watch it together with the written tutorial to deepen your understanding: Intro to Object-Oriented Programming (OOP) in Python

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About David Amos

David is a writer, programmer, and mathematician passionate about exploring mathematics through code.

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