Readme: fix gitter link, add Nim logo, formatting fixes (#42)

* Update README.md

Use more extended markdown syntax instead of HTML,
Add Matrix links
Superseed PR #40

* Actually fix gitter! Move img src links to footer.

Also changed the TheAlgorithms logo image link.

* Restore TheAlgorithms logo link

* More link fixes

---------

Co-authored-by: dlesnoff <54949944+dlesnoff@users.noreply.github.com>

Author: ZoomRmc

README.md

@@ -1,40 +1,40 @@
-<div align="center">
-<!-- Title: -->
-  <a href="https://github.com/TheAlgorithms/">
-    <img src="https://raw.githubusercontent.com/TheAlgorithms/website/1cd824df116b27029f17c2d1b42d81731f28a920/public/logo.svg" height="100">
-  </a>
-  <h1><a href="https://github.com/TheAlgorithms/">The Algorithms</a> - Nim</h1>
-<!-- Labels: -->
-  <!-- First row: -->
-  <a href="https://gitpod.io/#https://github.com/TheAlgorithms/Nim">
-    <img src="https://img.shields.io/badge/Gitpod-Ready--to--Code-blue?logo=gitpod&style=flat-square" height="20" alt="Gitpod Ready-to-Code">
-  </a>
-  <a href="https://github.com/TheAlgorithms/Nim/blob/master/CONTRIBUTING.md">
-    <img src="https://img.shields.io/static/v1.svg?label=Contributions&message=Welcome&color=0059b3&style=flat-square" height="20" alt="Contributions Welcome">
-  </a>
-  <img src="https://img.shields.io/github/repo-size/TheAlgorithms/Nim.svg?label=Repo%20size&style=flat-square" height="20">
-  <a href="https://the-algorithms.com/discord">
-    <img src="https://img.shields.io/discord/808045925556682782.svg?logo=discord&colorB=7289DA&style=flat-square" height="20" alt="Discord chat">
-  </a>
-  <a href="https://gitter.im/TheAlgorithms">
-    <img src="https://img.shields.io/badge/Chat-Gitter-ff69b4.svg?label=Chat&logo=gitter&style=flat-square" height="20" alt="Gitter chat">
-  </a>
-  <!-- Second row: -->
-  <br>
-<!-- Short description: -->
-  <h3>Algorithms collection implemented in Nim - for education</h3>
-</div>
+# <a href="https://github.com/TheAlgorithms/">The Algorithms</a> – Nim&nbsp;<img src="https://raw.githubusercontent.com/nim-lang/assets/master/Art/logo-crown.png" height="28px"/><a href="https://github.com/TheAlgorithms/"><img align="right" src="https://raw.githubusercontent.com/TheAlgorithms/website/main/public/logo.svg" height="100"></a>
+
+[![Gitpod Ready-to-Code][badge-gitpod]](https://gitpod.io/#https://github.com/TheAlgorithms/Nim)
+[![Contributions Welcome][badge-contributions]](https://github.com/TheAlgorithms/Nim/blob/master/CONTRIBUTING.md)
+![Repo size][badge-reposize]
+</br>
+[![Discord chat][badge-discord]][chat-discord]
+[![Gitter chat][badge-gitter]][chat-gitter]
+[![Matrix room][badge-matrix]][chat-matrix]
+
+## Algorithms collection implemented in Nim - for education
 
 Implementations are for learning purposes only. They may be less efficient than the implementations in the [Nim standard library](https://nim-lang.org/docs/lib.html) or [Nimble packages](https://nimble.directory/). Use them at your discretion.
 
 ## Getting Started
 
 Read through our [Contribution Guidelines](CONTRIBUTING.md) before you contribute.
 
+## List of Algorithms
+
+See our [directory](DIRECTORY.md) for easier navigation and a better overview of the project.
+
+You can also browse the implementations on [the website](https://the-algorithms.com/language/nim).
+
 ## Community Channels
 
-We are on [Discord](https://the-algorithms.com/discord) and [Gitter](https://gitter.im/TheAlgorithms)! Community channels are a great way for you to ask questions and get help. Please join us!
+We are on [Discord](https://the-algorithms.com/discord) and [Gitter][chat-gitter]/[Matrix][chat-matrix]!
 
-## List of Algorithms
+Community channels are a great way for you to ask questions and get help. Please join us!
 
-See our [directory](DIRECTORY.md) for easier navigation and a better overview of the project.
+<!-- links -->
+[chat-discord]: https://the-algorithms.com/discord 
+[chat-gitter]: https://gitter.im/#TheAlgorithms_community:gitter.im
+[chat-matrix]: https://matrix.to/#/#TheAlgorithms_community:gitter.im
+[badge-contributions]: https://img.shields.io/static/v1.svg?label=Contributions&message=Welcome&color=0059b3&style=flat-square
+[badge-discord]: https://img.shields.io/discord/808045925556682782.svg?logo=discord&colorB=7289DA&style=flat-square
+[badge-matrix]: https://img.shields.io/badge/matrix-TheAlgorithms_community-0dbd8b?logo=matrix
+[badge-gitpod]: https://img.shields.io/badge/Gitpod-Ready--to--Code-blue?logo=gitpod&style=flat-square
+[badge-gitter]: https://img.shields.io/badge/Chat-Gitter-ff69b4.svg?label=Chat&logo=gitter&style=flat-square
+[badge-reposize]: https://img.shields.io/github/repo-size/TheAlgorithms/Nim.svg?label=Repo%20size&style=flat-square