# Write a system of equations and solve rubiks cube

I recently completed my first successful blindfolded solve — see the video below. Here is the complete guide below for how to solve a cube blindfolded. There are multiple methods to choose from when solving a cube blindfolded. For this guide, we will use the M2 method on the edges and the Old Pochmann method on the corners.  I was curious to find out if a neural net could learn how to solve a cube in the most "efficient" way, by solving the cube in less than 20 moves, i. This is a very naive solution, to start as a proof of concept.

I used a 2 layer neural net: The input is the state of the cube to be solved. The output is the next predicted move until solved. For the training set, I generated games at random during training for games of 10 moves or less from solved with the corresponding solutions as label.

At each step of the solution, I made the network make a guess for its next move and used SGD for training. I trained this over many epochs until the loss was relatively steady. Surprisingly, the network works decently well for any position less than 6 moves away from solved.

I found that by shuffling up to 6 moves, sometimes more, it is able to correctly solve it. It doesn't always work and can definitely use improvement, but its a good place to start.

Here's a video of it in action. The source code is available herejust follow the instructions to shuffle the cube yourself and solve it with the network. There is plenty of exploring to do! Bigger networks might be one solution, fancier networks would likely be more appropriate.

I thought of reinforcement learning, but decided to use the simpler supervised-learning approach to begin. The search-space for a properly mixed cube is HUGE something like 4e19 iirc. The original thought was that a ConvNet might be able to solve such a space.

I do think that a more sophisticated approach would be necessary to solve from more than 10 moves. Maybe an idea would be to 'introduce' the cube to known algorithms and let it learn to optimise based on those. Also a reward system reinforcement approach could be a good idea.I am new here Creating an account has many benefits: check out faster, keep more than one address, track orders and a lot more! First Order Non-Linear Equations We will brieﬂy consider non-linear equations.

In general, these may be much more diﬃcult to solve than linear equations, but in some cases we will still be able to solve the equations.

We will also show that solutions for an autonomous equation can be Thus we could also write . If you are looking for a beginner’s guide to solving the Rubik’s cube, start here. This is the system we will use in all of the examples in this tutorial.

When we solve the cube blindfolded, we solve the edges and the corners separately. Download a printable version of How to Solve a Rubik’s Cube Blindfolded here. solving equations containing fractions and decimals page2. 3-example 1: solve this equation by first clearing the fraction(s). 2x â€“ 1 = 3 4 x + 9 â€˜airâ€™ Solve The Clues To .

How to solve the Rubik's Cube. There are many approaches on how to solve the Rubik's Cube. All these methods have different levels ofyel difficulties, for speedcubers or beginners, even for solving the cube rutadeltambor.com usually get stuck solving the cube after completing the first face, after that they need some help.

Discussion [Discussion] Solving a Rubik's Cube using a Simple ConvNet (rutadeltambor.comeLearning) submitted 11 months ago by jer_pint Plenty of efficient algorithms exist to solve a rubik's cube.

Solving Simple Equations