The Mandelbrot set is a set of complex numbers within a recursive sequence, commonly known as Zn+1 = Zn2+ C. This basic recursive sequence (where a constant is added onto the previous term to make the new term, and so on) unfolds into great complexity, known as the Mandelbrot set. The customary design of the Mandelbrot set is exhibited through certain C values (C being a complex number) that make the whole sequence stable. Scroll down to learn more about stability and the Mandelbrot set as a whole!

Mandelbrot Set & Julia Set 

Meet your new favorite way to tell stories. With StoryMaps, the future of digital storytelling is here to bring together media, maps, and text in ways you never thought possible.

StoryMaps

About the author

Add a button readers can use to change the appearance of the map in the media panel (you must add an express map first)

Let readers easily compare two images or express maps with an interactive slider

There was a problem adding this chart. Please try again.

To avoid losing work, exit the builder until the other person has finished.

You are already editing this item in a different browser tab. To avoid losing work, exit this builder and resume work in the other tab.

Making changes may cause lost work

Someone else is editing this item

Edit this item?

Publish this item?

No title

You won’t see this item's cover when viewing it in this collection.

iFrame (standard)

Script (advanced)

There was a problem adding this file. Please try again.

Sorry!

There was a problem adding this image. Please try again.

This theme will be available to organization members as an approved theme. Its current sharing level is {sharing_level}.

It will be shared to your organization’s approved theme group:

Add to approved themes?

You can now use themes shared through groups or the organization

Sharing themes is easy

Got it

Your organization can offer a set of approved themes to make it easy to use the latest on-brand designs. Talk to your ArcGIS administrator about enabling this feature.

Did you know your organization can provide approved themes?

Maps created by you will appear here

Use drawing and annotation tools to create a simple map

The layer you selected cannot be used in map tour. Please choose a different feature layer.

The layer you selected must be of point geometry. Please choose a different feature layer.

Unsupported feature layer

Browse Living Atlas

Browse the full ArcGIS Living Atlas of the World, Esri’s curated collection of maps, scenes, apps, and datasets from around the globe. If you find a map you’d like to include in your story, add it to your favorites and it will appear under the "My Favorites" tab above.

Looking for more authoritative maps for your story?

Your favorite layers will appear here

Your favorite maps will appear here

Your favorite views will appear here

Apps shared with groups you belong to will appear here

Collections shared with groups you belong to will appear here

Files shared with groups you belong to will appear here

Frames shared with groups you belong to will appear here

Layers shared with groups you belong to will appear here

Maps shared with groups you belong to will appear here

Stories shared with groups you belong to will appear here

Themes shared with groups you belong to will appear here

Views shared with groups you belong to will appear here

Layers created by you will appear here

Create your first map

Apps shared with your organization will appear here

Collections shared with your organization will appear here

Files shared with your organization will appear here

Frames shared with your organization will appear here

Layers shared with your organization will appear here

Maps shared with your organization will appear here

Stories shared with your organization will appear here

Themes shared with your organization will appear here

Views shared with your organization will appear here

Public themes will appear here

Maps shared with you will appear here

Views created by you will appear here

This theme will no longer be available to organization members as an approved theme.

It will be removed from your organization’s approved theme group:

Remove from approved themes?

Title

The view you selected cannot be used in map tour. Please choose a different feature view.

The view you selected must be of point geometry. Please choose a different view.

Unsupported feature view

This map must have at least one point layer. Please choose a different web map.

Unsupported web map

The data source for this tour no longer exists or you do not have the permission to use it

Drawing tools are the heart of express maps. Explore the drawing toolbar and try adding points or lines, tracing areas freehand, or using the text tool to make a custom label.

Untitled group

Untitled action

Untitled map action

Configure what people see when your item appears on StoryMaps, social media sites, and search engines

Text formatting

Text block conversion

At the beginning of a text block, type the characters below to convert the block to a different type. You can use these shortcuts for empty text blocks and text blocks that already have text.

Lists

Place cursor at beginning of list item and then type the characters below.

Use this immersive block to create a sequence of presentation-like slides that your readers navigate laterally.

With slideshow, images, videos, or express maps fill the entire slide background. You can add concise bits of text to each slide to provide context, and reposition the narrative panel to ensure the key parts of your media remain visible.

Who can see your collection after it is published

People in your organization can view this item

Anyone can view this collection. It can also be shared with anyone on StoryMaps

Anyone can view this story. It can also be shared with anyone on StoryMaps

Build a better world—one story at a time. Enter the global competition by December 6.

Enter the 2024 ArcGIS StoryMaps Competition

Transform your maps and geographic information system (GIS) work into interactive content that informs, inspires, and engages stakeholders

Reposition any maps in the preview before printing to ensure all desired content is visible

Check out the latest features and enhancements

We’ve updated ArcGIS StoryMaps!

Untitled briefing

Need to edit your collection?

The edit option is now in this menu for a cleaner viewing experience

Need to edit your story?

Use your Google Analytics or Adobe Analytics account to collect anonymous data about how readers interact with your stories.

Add a message to inform readers and ask for their consent. If you do not provide a consent message, Google Analytics will automatically collect anonymous data for this story.

Upgrade to unlock analytics

Track engagement

Add a custom consent message

Consent message

Untitled collection

Item unavailable

Tell your story in minutes with frames. Drop your pictures into easy-to-use templates, then share these experiences with friends and social channels from anywhere. Frames creation is available now on the StoryMaps mobile app!

Create frames on the StoryMaps mobile app

Are you sure you want to delete this collection? The stories and other content in the collection will be unaffected.

Are you sure you want to delete this item?

Are you sure you want to delete this theme?

Delete item?

This item was sent to your recycle bin and will be permanently deleted after 14 days

Item permanently deleted

Item deleted

Delete briefing?

Delete collection?

Delete frame?

Delete story?

Delete theme?

This will create a copy of this collection in your account as a private draft, including any unpublished changes present at the time of duplication.

This will not create copies of every story in the collection; instead, the duplicated collection will reference the original stories.

Duplicate this collection?

This will create a copy of this frame. The copy will be a private draft that includes any unpublished changes present at the time of duplication.

Duplicate this frame?

You are now editing a copy of the original item

You are now editing an item created from a template

You are now editing a template created from another item

You are about to create a copy of this collection in your StoryMaps account as a private draft.

You are about to create a copy of this story in your StoryMaps account as a private draft.

You are about to create a copy of this template in your ArcGIS account as a private draft.

You are about to create a copy of this theme in your StoryMaps account as a private draft.

This will create a copy of this story in your account as a draft. The copy will include any unpublished changes and retain all settings from the original story, including analytics configuration details.

Express maps and uploaded media will be copied into the new draft. The new story will reference any embedded content such as images, web maps, and websites.

Duplicate this story?

This will create a copy of this template in your account. The copy will be a private draft that includes any unpublished changes.

Express maps and uploaded media will be copied into the new draft.

Duplicate this template?

This will create a copy of this theme in your account as a private draft, including any unpublished changes present at the time of duplication

Duplicate this theme?

(Copy)

Duplicating this item is not allowed because its owner is located in a different data storage region

There was a problem duplicating this item

Unfortunately, this item cannot be duplicated at this time

Creating an item from that template is not allowed because its owner is located in a different data storage region

There was a problem creating an item from that template

Unfortunately, an item cannot be created from that template at this time

Creating a template from that item is not allowed because its owner is located in a different data storage region

There was a problem creating a template from that item

Unfortunately, a template cannot be created from that item at this time

Untitled frame

Untitled tour point

This will update the language displayed on this site

Language settings

Create your first collection

Your bookmarked collections will appear here

Your bookmarked frames will appear here

Create your first frame

Your bookmarked stories will appear here

Stories shared with you will appear here

Create your first story

Your favorite templates will appear here

Your favorite stories and templates will appear here

Create your first story or story template

Create your first template

Save yourself time with these simple starting points. You can always add more blocks later if you want.

Readers explore a curated set of places in whatever order they choose

Explorer map tour

Walk your audience through a list of locations sequentially

Guided map tour

An immersive block with stationary media panel and scrolling narrative panel

Sidecar

Quick start

Learning and resources

StoryMap (Untitled)

Your approved themes will appear here

We moved preview options here for a cleaner viewing experience

Share this item

Untitled story

Untitled template

You can customize the color of this header

Use this sample collection to preview your custom theme. As you modify colors, typography, and more, those changes will be reflected here.

This is your collection’s title

Item title

Use this sample story to preview your custom theme. As you modify colors, typography, and more, those changes will be reflected here.

This is your story’s title

This story includes several of the pieces you might use in your own story–like paragraphs, buttons, separators, and more. To get started, select a section of the styling panel and make some adjustments. As you adjust different elements, you’ll see this story adjust to demonstrate how they look. Try changing the paragraph font, and see what happens to this text.

This is the title for the story credits. It uses the title font.

This is where the credit description goes; it uses the paragraph font.

Next, try adjusting the button style and see how your selection affects the button below. You’ll also notice that it uses the paragraph font for its text.

You can style your paragraph text to use bold, italics, and bold italics, so you can emphasize important text accordingly. These come pre-packaged with the fonts you’ve chosen, so there’s nothing extra you need to configure.

Quotes use the theme’s title font, but you can also choose one of several different styling options.

Your theme’s accent color is used in both quotes (see above) and separators (below). If you add an express map to your story, your drawn features will use the accent color too.

You have a few different options for separator styles; toggle between them and see how the separator above changes.

Wondering what embed cards look like? Check out the one below!

Choose an existing theme as a starting point, then customize it however you like

Create new theme

Your bookmarked themes will appear here

Create your first theme

Theme (Untitled)

This theme has unpublished changes. They won’t affect content using this theme unless you re-publish it.

Cool, you’ve made it to the knowledge base. Consider this the place to be if you’re wondering how a specific feature works, which file types you can use, what different menus do, that kind of thing. Can’t find the answer you’re looking for? <feedback>Let us know</feedback>.

The collection you are trying to access does not exist or you do not have permission to view it

The item in the collection you are trying to access does not exist or you do not have access to it

Your organization settings can’t be loaded right now. Please try again later or confirm with your organization’s administrator that you have permission to view them.

The story you are trying to access does not exist, or you do not have permission to view it

The theme you are trying to access does not exist, or you do not have permission to view it

Hmm... there seems to be an issue

Hmm... that wasn’t right

Welcome to a new era of digital storytelling

We’ll be back soon!

The settings below will affect all stories, collections, and themes within your organization

Enter a Google Fonts Developer API key to enable Google Fonts for your organization.

StoryMaps - Collections

StoryMaps - Community

StoryMaps - Contact

StoryMaps - Explore

StoryMaps - Feed

StoryMaps - Feedback

StoryMaps - Frames

StoryMaps - Get Started

StoryMaps - Learn

StoryMaps - Settings

StoryMaps - Stories

StoryMaps - Themes

We found an ArcGIS account already associated with that email. Unfortunately, your StoryMaps account can’t share the same email as an ArcGIS one.

There was an issue looking up your account plan. Publishing and some other features may be temporarily impacted.

Unable to retrieve subscription information

Features

You have reached the collection limit

Create all of the stories and collections you want

Unlimited creation

Open access to all layouts and build your own themes

Endless customization

Thematic maps, 3D map tours, data importing

Advanced mapping

You have reached the story limit

Every story has a place

Add context to your content easily with beautiful layouts and immersive experiences made in minutes. You can choose what to use from videos, images, audio clips and even embeds. StoryMaps comes equipped with everything you need to ensure your story looks great.

Interactive digital experiences

Transport your readers to any place at any time. With StoryMaps, you get access to the world’s leading mapping technology to guide your readers to your favorite places, illustrate trends or even take them on an interactive tour.

Whether you’re on the couch or at the beach, you can connect with other authors and explore new destinations through the StoryMaps mobile app

Great storytelling wherever you are

Add another dimension to your map tours for an extra storytelling punch

What it is, why you need it, and how to do it well

Get the latest updates from the StoryMaps team

Simple tips, tricks, and hacks to get the most out of the builder

Three different approaches to bundling related stories

What’s in a collection?

Connect with other storytellers

Make sure everyone can enjoy your content through smart design choices

Build a connection with your audience by making the personal universal

Maps are great, but interactive charts and tables can propel your story to new heights

Finding happiness with charts

Elevate your story with guidance from the experts

A designers guide to pairing Google Fonts for your next custom theme

Learn to create a cohesive visual narrative using StoryMaps’ built-in filters

Interviewing story subjects can help add authority to a story. These tips will help you prep to get all the info you need.

Let’s go over copyright 101, public domain, Creative Commons, and more

Sharpen your storytelling skills with tips and tricks from the StoryMaps team

Telling a compelling story often starts with great writing, but it doesn’t stop there.

The StoryMaps builder has everything you need to help stage an event, large or small

Easily add polished, data-driven cartography to any story

Find answers to questions like "what’s a story?" and "how do you tell one?"

Sound can add an effective and memorable dimension to your narrative

Maps add depth and context to multimedia storytelling

Suggested actions and other resources are always in this menu

Help is right up here

Continue storytelling with ArcGIS StoryMaps and keep your content. Request that Esri migrate your account to ArcGIS Online by May 31, 2025, and complete migration by June 30, 2025.

If you requested to migrate your account to ArcGIS Online, complete the migration process before June 30, 2025.

Learn more about the retirement and migration

StoryMaps.com is retiring. Request migration to ArcGIS Online by May 31, 2025.

StoryMaps.com is retiring on June 30, 2025. Complete migration to ArcGIS Online before the retirement date.

To complete the migration of your StoryMaps.com account to ArcGIS Online, review and accept the Esri Master Agreement and Privacy Policy before June 30, 2025. For more information on migrating to ArcGIS Online, visit the <link>StoryMaps.com retirement page</link>.

StoryMaps.com Retirement and Migration to ArcGIS Online

After one year, you will need to purchase an ArcGIS Online subscription to continue using ArcGIS StoryMaps. Check out the StoryMaps <link>retirement page</link> for more information on the ArcGIS Online subscription options.

ArcGIS <link>StoryMaps</link> is the professional version of StoryMaps and is available as part of <link2>ArcGIS Online</link2>. Both products share similar storytelling capabilities, so if you are familiar with StoryMaps, you'll feel right at home with ArcGIS StoryMaps. Visit the <link3>retirement page</link3> for a detailed comparison between StoryMaps and ArcGIS StoryMaps.

If you do not migrate your account to ArcGIS Online, you can save any content you would like to keep before the June 30, 2025, retirement date. The options for saving content include saving stories as a PDF and saving frames using a screen recording. 

Esri is retiring StoryMaps. On June 30, 2025, StoryMaps will go offline, and StoryMaps content will not be available to edit or view. For more information, please visit the <link>StoryMaps retirement page.</link>

Introducing ArcGIS StoryMaps and ArcGIS Online: <link>AGSM Introduction video</link>

You are invited to migrate your account and content to ArcGIS Online where you can continue storytelling with maps. With ArcGIS Online, you’ll get access to ArcGIS StoryMaps and the easy-to-use story builder you are familiar with, plus so much more!

If you migrate your account to ArcGIS Online, you will have access to your existing stories, collections, and themes via ArcGIS StoryMaps, as well as an array of additional ArcGIS capabilities. (Your frames will be migrated and accessible when support for frames is added to ArcGIS StoryMaps.)

For more details about migrating your account and content to ArcGIS Online, please visit the StoryMaps <link>retirement page.</link>

Click next to proceed with the migration or click cancel to close.

Esri will give you one year of access to ArcGIS Online at no extra cost and will migrate your account and content for you.

Please review the following points before you proceed with migrating your account to ArcGIS Online:

I accept and agree to be legally bound by

This means that you are deciding to use ArcGIS StoryMaps by converting your StoryMaps account to an ArcGIS Online account. After you accept these terms and conditions, select Migrate to ArcGIS Online, and you will be redirected to ArcGIS StoryMaps.

Review the Esri <link>Master Agreement</link> and <link2>Privacy Policy</link2>

To complete the migration of your StoryMaps account to ArcGIS Online, review and accept the Esri Master Agreement and Privacy Policy by June 30, 2025. 

Reminder of the retirement message, and reminder of the migration considerations. Hit the high points and link to the retirement page.

StoryMaps Retirement and Migration to ArcGIS Online

Both of these options include access to ArcGIS StoryMaps and the other ArcGIS Online apps and capabilities. Please note that there is a price difference between the two options that you will need to pay if you want to keep your account active when your free subscription expires. See the FAQs on the <link>StoryMaps.com retirement page</link> for more information about these subscription options.

Selecting Request migration below means that you are deciding to change your StoryMaps.com account to an ArcGIS Online subscription. During the free subscription, you will have access to your existing stories and collections via ArcGIS StoryMaps, as well as an array of additional capabilities offered by ArcGIS Online.

Check out these other recommended stories

Cannot load recommended content

Explore more from StoryMaps

Your subscription expires in {numOfDays} days. Renew now to stay on the Premium plan. <link>Learn more</link>

Your subscription expires in {numOfDays} days. For a 50% discount use coupon code {couponCode}

Renew now to stay on the Premium plan. <link>Learn more</link>

For a 50% discount use coupon code {couponCode}

Your subscription expires in {numOfDays} days

Plan switched to yearly

Thanks for subscribing

No data

Chart title

Collection URL could not be copied to clipboard

Untitled

Untitled item

Easily create stories just like this with StoryMaps

Join the community of StoryMaps authors using cutting-edge technology to bring narratives to life with engaging maps, multimedia, and immersives

Ready to start storytelling?

Easily create interactive content featuring maps, media, and more

These people and {number} other liked this story

These readers and {number} others liked this story

These people and {number} others liked this story

These readers and {number} other liked this story

Hmm... we can’t seem to find the map

Untitled map

Hmmm... we can’t seem to find that content

Story URL could not be copied to clipboard

{defaultTheme} is now being used instead. Edit this item to apply a new theme.