What Is The 9 Dot Problem?

What is the nine dot puzzle?

The “nine dots” puzzle.

The goal of the puzzle is to link all 9 dots using four straight lines or fewer, without lifting the pen and without tracing the same line more than once..

Can you join all nine dots?

Imagine the pattern of dots below drawn on a sheet of paper. Your task is to join all nine dots using only four (or less) straight lines, without lifting your pencil from the paper and without retracing the lines.

What are the 2 lines with 2 dots at the beginning called?

The “Right Facing” Repeat Sign is written at the very beginning of the first measure of the section to be repeated. The “Right Facing” Repeat Sign is two dots placed AFTER the Double (Final) Bar Line. The “Left Facing” Repeat Sign is written at the very end of the last measure of the section to be played twice.

Which figure can be drawn without lifting the pencil?

Euler’s theorem says that you can only draw this shape without lifting your pen or going over the same line twice, if the number of nodes with odd degrees should be 0 or 2. In other words, there should be either NO odd nodes or exactly TWO odd nodes. If this seems arbitrary, think of it this way.

Can you draw a diagram without lifting the pen square with diagonals?

a square with diagonals has 4 vertices, each of them has degree 3. … in graph theory, the number of odd degree vertices should only be 0 or 2, then you can draw this graph without lifting pen off paper, and it must start from one odd degree vertex and end at the other one if it has 2 odd degree vertices.

How do you solve the nine dot problem?

Creative thinking puzzle number 1 – The nine dot problem to help you “think out of the box” Below are nine dots arranged in a set of three rows. Your challenge is to draw four straight lines which go through the middle of all of the dots without taking the pencil off the paper.

How do you think beyond the box?

3 Ways to Think Outside the Box More OftenQuestion the status quo regularly. Make nonconformity the expected conversation. … Take a wider perspective and oscillate between uncommon content! Breakthrough thinking and creativity often come from making uncommon connections. … Draw a picture as a team. Draw a picture of your challenge and possible ways to solve it.

How many squares are there?

When you count all the possible squares there are, your answer will be equal to 40.

How can I think fast?

Strengthening Your Quick Thinking AbilityRead a book on the subject. … Take an online learning course on the subject. … Consult an expert. … Attend a workshop or course on the subject. … Practice “speed thinking.” Whenever you’re mulling over a proposal or other situation in which you have to evaluate a lot of information, work to cut to the heart of a matter.More items…

How do you think best?

Here are some principles of better thinking that you can apply to get more from your mind, every day.Tap your emotions. … Don’t think under pressure. … Consider alternative points of view. … Challenge your preferences. … Take long showers. … Be skeptical of your memories. … Don’t expect to diet and finish the crossword.More items…•

How do you think logically?

Here are a few methods you might consider to develop your logical thinking skills:Spend time on creative hobbies.Practice questioning.Socialize with others.Learn a new skill.Try to anticipate the outcome of your decisions.

Why should we think outside the box?

Learners don’t have to stay within the ‘box’ of formal learning. … And when learners are able to think outside the box, they become better thinkers; they’ll be better able to learn new things, come up with new strategies and create plans to implement all their new-found knowledge.