As suggested and requested by users, the interface is simplified and fluidified to provide a better user experience.

- Visualizations are now automatically loaded on start
- H.urna lessons are now tied with each visualization module
- Multiples tabs are removed for a cleaner view
- Configuration buttons and players are separated
- Reset command is improved to avoid multiple clicks
- …

During this process, we also have greatly optimized the time loading for each module.

Do not hesitate to have a tour :

PS : We are still preparing some cheat sheets, exercises, corrections and a new Games to introduce mathematics to young children. Follow us on Medium and Facebook to stay up to date.

**H.urna - Promoting Knowledge**

For this purpose we have created lessons plan and courses sheets for all content, CHECK IT OUT :

https://hurna.io/academy/index.html

**The display on small screen devices is greatly optimized!**

**All the content of the website and lessons is professionally proofread!**

And because Frenchies remain Frenchies, the French version is also available at :

https://hurna.io/fr/academy.html

Coming next : We are already preparing some cheat sheets, exercises, corrections and a new Games to introduce mathematics to children…

**Hurna - Open Sciences.**

Maths use made-up rules to create models and relationships, using graph models will help to understand:

- What relationship does a model represent?
- What real-world items share a relationship?
- Does a relationship make sense to us?

For those who can naturally express functions in both the algebraic and geometric world, we hope giving you a refresh from old mathematical memories.

–> The full article :

https://medium.com/@urna.hybesis/overview-of-fundamental-mathematics-functions-through-interactive-graphs-5b079b2f7fdc

**Jeux H.urna Blocks**

Introduction à la programmation avec des blocs : aidez Globo à sortir des labyrinthes !

**Algorithmes de tris**

Agrégation (En-Place)

Tri à Bulles

Tri Cocktail

Tri à Peignes - Comb sort

Tri Fusion (En Place) - Merge sort (In Place)

Partitionnement

Tri Rapide (Quick Sort)

A bientôt pour de nouveaux modules et jeux éducatifs.

PS: Un lexique pour les caractéristique des algorithmes de tris ainsi qu’un cours sur la complexité algorithmique sera bientôt disponible pour les non-initiés.

**H.urna - Rendre accessible la science**

While professional programmers create softwares by writing lines of code for a computer to interpret, you get started here with **a visual programming tool you can freely play with**. And don’t worry, this game is progressive so you can **learn programming concepts step-by-step**.

Go to H.urna Explorer and try to solve those first 10 mazes:

Note: the difficulty is still interesting even for those who do programming ; )

You may go to H.urna Wiki to learn more about mazes, the game as well as **a solution for each level**. If you want to discuss about the game and/or request for the next ones, do not hesitate to get in touch with H.urna Community.

Note: With this update we also improved the general user experience flow : you now have quick launch and no more interaction necessary to change any model/level within block, fractal and graphing calculator modules.

Note bis: This first game is inspired from Blockly; new original games development are on the pipe : )

**Hurna - Play with sciences.**

“Your mind is a walled garden. Even death cannot touch the flowers blooming there.”

(Ford - Westworld)

For thousands of years, humans have been fascinated by mazes and labyrinths : they built them, told stories about them, created games and puzzles around them, and even studied animal comportments within them.

Please note that **maze and labyrinth does not have the same meaning**. Compared to mazes there are no tricks or dead ends on **labyrinths** : they **have a single circuitous path instead (they are unicursal)** and are most often used for relaxation, meditation or spirituality.

Itoi Labyrinth - Man in the maze (described within spiritual section below)

According to ancient Greek legend, the **original maze was built** by the architect Daedalus and his son Icarusto **to house the Minotaur** : a creature with the body of a man and the head of a bull. The legend further tell that Daedalus had so cunningly made the maze, he could barely escape it after the construction.

From the mythological mazes of Ancient Greece to the massive vegetation / ice / stage / corn mazes of the 21st century, here is 3 of the main reasons why we think mazes are so attracting.

**Entertaining**

Maze are confusing and comforting at the same time : we are lost, but heading toward an existing exit. It makes it very entertainable and addictive.

Since the 16th century, mazes were meant to entertain, as well as to provide private, out-of-the-way places for secret meetings. Nowadays, **they are in all forms and you may find them everywhere** : on almost all of the cereal boxes, at amusement parks (e.g. Alice in Wonderland, Mirror labyrinth at the fair), in board games (e.g. the game that’s literally named “Labyrinth”), in video games (almost in all of them), in movies (e.g. the film that’s literally named “Labyrinth”) etc.

**Educative**

Children seem to have an almost immediate and deep natural connection with mazes. They will take on the challenge of almost any maze. Maze provides the experience of problem solving while kiddos see it as a game. Instead of hurt feelings or embarrassment a classical problem may have, **mazes assist anyone to calm down, make transitions, and focus.**

Mazes particularly help children to develop skills such as:

- Planning and brainstorming various strategies.
- Getting spatial representation and developing orientation.
- Scanning complex environment and memorizing paths.
- Relaxing.

**Spiritual**

There is love in the labyrinth

There is darkness in the labyrinth

The exit may not be where you think it is

We all are on a path. The labyrinth is a metaphor for life’s journey; a symbol that creates a **sacred space and place that takes us out of our ego to that which is within**. Ancient labyrinths were designed to be serene and introspective. In some lands, young men would walk through a labyrinth as part of their initiation into adulthood.

Unicursal labyrinth patterns like the “Itoi” (“Man in the Maze”) above may represents life’s cycles, eternal motion, and the choices we are confronted with. The right choices lead us to a point of harmony with all things, no matter how hard or long the road taken. At the center of the maze is a circle, which stands for death. Death is not the exit, but the beginning of a new journey and, thus, to a new cycle.

Jump in Hurna Explorer to play and solve yourself the 10 mazes Globo is stuck in.

]]>The main changes:

Bug Fix on moving the mouse to the edge of a maze (negative index)

Bug Fix when memory was handling too much objects (now packing)

New API for labyrinth generation and interpretation

Significant improvement in memory and computation performances

Disabling the default grid display when creating Labyrinths

Home Screen

Accompanying this:

Web pages loading of our sites have been greatly optimized.

Source code for labyrinth generations will be made available in H.urna Core C ++ this week.

The H.urna Lib C ++ library will soon be available in Beta version to be used in H.urna Explorer to visualize your own algorithms.

Then, we are already working on the next major evolution: Introduction to block-by-block programming in the Explorer.

]]>https://demo.hurna.io/#path=equation_solver/graphical

Here are the new ones introduced:

**Scaling Transformation**: a . f(x / b)

**Derivative**: d f(x) / dx

**Integral**: ∫f(x) dx

More are about to come soon!

Follow us on facebook: https://www.facebook.com/Hybesis.Urna

Get involved within our community: https://community.hurna.io

**H.urna - Play with sciences**

https://wiki.hurna.io/fr

Générateurs de labyrinthes :

- Arbre Binaires
- Recherche en Profondeur (DFS)
- Kruskal’s
- Prim’s
- Division Récursive
- Sidewinder

Les algorithmes de tris et de recherches arrivent très bientôt !

Pour avoir les prochaines news

Suivez-nous sur Facebook : https://www.facebook.com/Hybesis.Urna

Rejoignez la communauté : https://community.hurna.io

**H.urna - Jouer avec les sciences.**

Déjà traduit :

Mathématiques :

- Résoudre une Équation 1er Degré
- Résoudre une Équation 2nd Degré

Documentation H.urna Explorer

Algorithmes :

- Introduction
- Générateurs de Fractales avec un système de Lindenmayer

La suite très bientôt !

Pour les prochaines news :

Suivez-nous sur Facebook : https://www.facebook.com/Hybesis.Urna

Rejoignez la communauté : https://community.hurna.io

**H.urna - Comprendre, Apprendre, Créer, Partager.**

You get some mathematical models to play with, you may create and resolve your own complexe problems in a winch.

https://demo.hurna.io/#path=equation_solver/graphical

There is currently some interactive models to play with:

Linear lines : ax + b

Quadratic Parabolas : ax² + bx + c

Translation Transformation of functions : f (x - h) + k

Derivative and Tangent line : f’(a) * (x - a) + f(a)

Inverse Function and symetrie

More are about to come!

Follow us on facebook: https://www.facebook.com/Hybesis.Urna

Get involved within our community: https://community.hurna.io

**H.urna - Keep Learning, Keep Sharing**

Suivez nous sur facebook : https://www.facebook.com/Hybesis.Urna

Rejoignez la communauté : https://community.hurna.io

Les cours et articles( https://wiki.hurna.io ) sont actuellement en cours de traduction et arrivent très prochainement.

**H.urna - Continuer à comprendre, continuer à apprendre, continuer à créer, continuer à partager.**

**Use Globo our virtual teacher to help you on your Quadratic (polynomials of degree two, or Second Order) equation homework’s.**

Get access to the full lesson on solving quadratic equation and handle trajectories (cf. Newton - Kinematic) https://wiki.hurna.io/mathematics/quadratic_equation.html

Jump in Hurna Explorer to practice and visualize yourself any quadratic equations.

https://demo.hurna.io/#path=equation_solver/quadratic

**Why understanding quadratic equations?**

- To compute all kind of trajectories (ball, angry bird, jump from a cliff, planets…).
- To compute all kind of optimizations such as maximizing profits on market. - To calculate the power going through electrical circuit.
- Designing telescopes, lenses, curved mirror, camera.
- The golden ratio is found as the positive solution of the quadratic equation x² - x - 1 = 0. (e.g. Leonardo da Vinci’s illustrations on the Divine Proportion, the famous golden spiral, Fibonacci sequence…)
- The Taxman, a quite unpleasant invention we still endure today (ref. Babylonians).
- …

Follow us on facebook: https://www.facebook.com/Hybesis.Urna

**Hurna Play with sciences**

Hurna propose you here a mathematical equation solver and visualizer with step-by-step explanation. It can help in learning concepts. It can help giving you graphical visualization of algebraic operation. It can be used as a simple day-to-day calculator or for double-checking the solution. In short, it makes learning and teaching math very easy.

Indeed, it solves your math equations step-by-step like a teacher would.

Whether you are a teacher, a parent or a student, you may found this tool very useful.

Jump in Hurna Explorer to practice and visualize yourself any equations.

https://demo.hurna.io/#path=equation_solver/linear

Follow us on facebook: https://www.facebook.com/Hybesis.Urna

Get involved within our community: https://community.hurna.io

Get the article on solving linear equation here: https://wiki.hurna.io/mathematics/linear_equation.html

Hurna Use vision to think

]]>Online Demo - Automatic step-by-step equation solver and visualizer like a teacher would explain.

Many people think that equations and algebra are obscure and use some esoteric languages. **Truth is that equations are actually relatively simple concepts**; knowing the base rules of the game and a bit of practice, you can learn to manipulate and solve them in a snap.

**Linear equation are the simplest form of equation you may deal with**; it restrict the problem to a unique unknown variable (usually called ‘x’) and no exponent e.g.:

x − 30 = 15

We all have solve this kind of equation every day even without even notifying it. Let’s say I am currently getting a training, I just know it’s been 30 minutes I am running and the coach told us that we still remain 15 minutes running. How much are we gonna run in total? This problem can be written as the following:

?TotalTime? − TimeAlreadyRun = TimeLeftx − 30 = 15

The result may already be solved, but let’s play the equation game:

TotalTime= TimeAlreadyRun + TimeLeft = 30 + 15 = 45Minutes

We know for sure we are gonna made a total 45 minutes run (except if the coach is playing on us). Now let’s have a peek to the rules of the game, you’ll see: there is quite few (even with the most complex problems)!

**An equation is like a statement saying "this equals that”**. The previous equation, x - 30 = 15 asks: **what x will make makes this equation true?**

The goal is thus to find that x; in the algebraic world, meaning to end up with:

**x = something without x.**

Next part present you the unique rule and useful tools dedicated to reach this goal. Keep in mind that **solving an equation is just like solving a puzzle**: there are things we can do and some others that are forbidden.

There is only two rules to satisfy:

**Whatever you do to one side of the equation, you must do to the other side.**

**You are forbidden to divide anything by 0.**

Get there for the list of tools:

https://wiki.hurna.io/mathematics/index.html#rules

You should always check that your “solution” is really a solution, there is nothing more easy: Replace ‘x’ by the solution value within the equation and verify that the equality is true.

Be careful to check that your solution never divide by 0!

In the previous example we found x = 45. If we place it within the equation, we get: 45 − 30 = 15

**Which is true: the solution has been verified.**

It’s not the optimal way, but the always winning robot always reach the goal using this method! Here is how he proceeds:

Does the equation have fractions?

Yes → Multiply every term (on both sides) by the denominator.

Does the equation involve parenthesis?

Yes → Expand the equation using the tools.

On either side, does it have like terms?

Yes → Combine like terms. (Don’t forget the sign in front of each term!)

Does it have variables on both sides of the equation?

Yes → Add or subtract the terms to get all the variables on the left side and all the constants on the right side.

At this point, the robot has a basic two-step equation (If not, he would be bugged).

Add or Subtract to remove any constants from the left side of the equation.

Multiply or Divide to remove any coefficients form the left side of the equation.

!SOLUTION FOUND!

At the end, the robot does not forget to check its answer to detect any eventual problem :). See the robot in action step-by-step:

**Any linear expression (the left or right part of an equation) can be drawn as a line in a 2D graphic**. The graph drawing is very simple. For each part of the equation, we have x on the horizontal axis and for a range of y values (vertical abscisse) we compute and **plot the points (x, y)**.

The easiest line, a constant: y=-3 (for all x, y = -3).

The other basic line to know: y=x (for all x, y as the same value).

Drawing here y = 2x

**Multiplying x by a constant is making a rotation on the line**

Drawing here all together y = 2x - 3

**Adding or substracting the expression by a constant value is just adding an offset**

A linear equation can be then drawn as two lines crossing each other. **The intersection point of those two lines is the equation solution** (if the lines are parallel, it means that the equation does not have any solution). Indeed the question answer the same one from the algebraic world: **What x will make makes this equation true, when are those lines equal?**

With our previous example:

The advantage of drawing a graph of an equation is that you can then use it to visualize out the value of y for any given value of x, or indeed x for any given value of y.

We have illustrated here the relationship between an algebraic equation and its graph plots giving you an alternative way to understand equations.

Jump in **Hurna Explorer** to practice and visualize yourself any equations.

In fact, computer programs (even the most advanced IA) are only a bunch of algorithms slapped together with some fancy structured data. That’s it:

**Algorithms + Data Structures = Programs**

**Algorithms**

Algorithms define how to operate, what to do exactly to solve a problem. **Learning algorithms does not require you to know any programming language**; it only requires you to have an understanding of the steps that are involved. Algorithm means finding the solution for any problem step by step. So, if we relate it to mathematics or physic, then it means solving an equation step by step with a recipe.

For instance, we want to get the number of seconds within some minutes. The algorithm (receipt) will simply be:

#minutes x 60 --> #seconds

Algorithms are independent of the programming languages used (algorithms remain the same, only the syntax may change); **it is however highly recommended to know one if you want implement your own algorithms and see them running**.

**Why are algorithms so important?**

Different kinds of algorithms solve different kinds of problems, it is important to understand how the algorithm solves the problem; without understanding them, it’s almost impossible to see things from higher perspective. Similarly, one can’t build a bridge by just placing brick after another; there has to be deeper understanding of what one is doing, what problem are solving and why is it done this way. In context of computing, programming or just to see what is going on inside all your electronical devices, understanding algorithms gives you a deep vision.

Understanding the details of the algorithms involved gives you the ability to predict if there are special cases in which it won’t work quickly or produce unacceptable results. **Understanding algorithms is a requirement to handle program accuracy and speed**.

**Learning Algorithms**

Of course, you will also run across problems that has not been resolved yet. In these cases, you have to come up with a new algorithm, or apply an old algorithm in a new way. **The more you know about algorithms in this case, the better your chances are of finding a good way to solve the problem**. In many cases, a new problem can be reduced to an old problem without too much effort, but you still need to have a fundamental understanding of the old problems.

By developing a good understanding of a large range of algorithms, you will be able to choose the right one for a problem and apply it properly. Furthermore, solving problems like those will help you to hone your skills in this respect. Many of the problems, **though they may not seem realistic, require the same set of algorithmic knowledge that comes up every day in the real world**.

Don’t spend any time memorizing algorithms

That’s not the point; instead, **try to understand how different algorithms approach different problems**. Learn about techniques such as recursion, divide-and-conquer, dynamic programming, graph-theory, complexity… See what makes one approach slow while the other is fast and learn what the tradeoffs are.

**The key is to get insight in how we can make computers do things.**

Algorithms are way easier to understand than you can imagine

Algorithms are almost always associated to mathematics and all the obscurantisme it inspires. The math is useful but you won’t need it most of the time. You won’t need to handle mathematics or master programming to understand all these fancy algorithms and data structures.

Using the Hurna Explorer will give you a fun highway to visualize and understand the algorithms listed below.

**Fractal Generator**

Lindenmayer System

**Maze Generator**

Binary Tree

Depth First Seach (DFS)

Kruskal’s

Prim’s

Recursive Division

Sidewinder

**Search**

Binary

K’th order statistic (QuickSelect)

**Sort**

Aggregate (In Place)

Bubble

Cocktail

Comb

Merge (In Place)

Partition-Exchange

Quick (Simple)

Mixing different communities, crossing fields and ages is for us a way to exponentially grow knowledge. Hurna provides thus an environment where inexperienced users are able to pose questions while engaging advanced users who are likely to assist them. Our Community engagement leads to improved sharing whether it is knowledge, joy, point of vues or anything else.

The community features member stories, live chat, keyword tags, search tool, social sharing, real time updates and much more… It is also easily accessible and perfectly functional on every device and screen including the mobile ones.

**Hurna Community - Get together, Get involved, Open sciences!**

Hurna is proud to announce we’ve become a part of the movement the web’s push forward toward HTTPS (HyperText Transfer Protocol Secure). That extra “S” we’re now sporting in our URLs is a subtle change with serious impact that protects your privacy even if Hurna does not take any information from you.

What is SSL and HTTPS?

SSL stands for Secure Sockets Layer and, in short, it’s the standard technology for keeping an internet connection secure and safeguarding any sensitive data that is being sent between two systems.

It does this by making sure that any data transferred between users and sites, or between two systems remain impossible to read. It uses encryption algorithms to scramble data in transit, preventing hackers from reading it as it is sent over the connection.

HTTPS (Hyper Text Transfer Protocol Secure) appears in the URL when a website is secured by an SSL certificate. The details of the certificate, including the issuing authority, can be viewed by clicking on the lock symbol on the browser bar.

Certificate

H.urna uses Verisign as CA (Certificate Authority) instead of self-signing. Even there is no sensitive information requested, Hurna is secure as it is certified by a trusted source. Verisign verify the ownership of the domain and even check the trustworthiness of Hurna before issuing an SSL security certificate.

Does not hesitate to get in touch for any question or issue report.

**Hurna - Learn at your own pace.**

Furthermore, precision and information of the cursors (pointer / iterator) have been greatly improved on the array visualizer.

Getting a direct visual picture of all the pointers of the current process, knowing whether they are parameters, knowing whether they are constant, knowing how scoped variables may affect the others etc. are often huge clues of what is going on and what could goes wrong.

New algorithms and advanced visualizers are about to come soon

**Hurna - Ease To Learn.**