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MOST COMPLICATED ORIGAMI FORTUNE TELLER DEMONIC PDF

Given two points P and Q and a line L, we can make a fold that passes through P and places Q onto L.

Given a point P and a line L, we can make a fold perpendicular to L passing through P.

If the lines intersect, this creates the perpendicular bisector midpoint angle bisector angle bisector of the angle between the two lines.

We can fold any two lines onto each other.

This creates the angle bisector midpoint perpendicular bisector of the line PQ‾.

You can fold any point P onto any other point Q.

You can fold a line connecting any two points.

They were first listed in 1992, by the Italian-Japanese mathematician Humiaki Huzita. Just like drawing with straight-edge and compass, there are a few axioms of different folds that are possible with origami.

A compass allows you to draw a circle of a given size around a point (as in Axiom 3).Īxioms 4 and 5 are about comparing properties of shapes, rather than designing.

You can use it to connect two points (as in Axiom 1), or to extend a line segment (as in Axiom 2).

A straight-edge is like a ruler but without any markings.

It turns out that we just need two very simple tools to be able to sketch Origami on paper: They have the same slope and the distance between them is always constant.Įuclid’ axioms basically tell us what’s possible geometry.

Given a line L and a point P not on L, there is exactly one line through P that is Two or more lines are parallel if they never intersect.

You can extend any line segment to an infinite line.

Given a point P and a distance r, you can draw a circle with centre P and radius r.

You can join any two points using exactly one straight line segment.

There Euclid an ancient Greek mathematician practiced math and discovered the five axioms that are the base of modern geometry. In order to understand the math behind Origami we have to take a trip to Ancient Greece.

Do it slowly and try a quarter of paper at a time. Find the middle square and follow the mountains (red lines) and caves (red dotted lines).Flip and cut or fold(to the back side) the gray area.Now fold top and bottom then flip and fold top and bottom to the center line.Fold the top edge and then the bottom edge to the line in the center. In order to make the Origami flasher you need to follow these steps:

MOST COMPLICATED ORIGAMI FORTUNE TELLER DEMONIC PDF

They used math to convert a large area of solar panels to fold and fit inside a small cubic like space I have attached a pdf file for you to download if you want to follow along. Scientists figured out a way that is based on an Origami Flasher and use Origami to fold solar panels in a similar design. Imagine being a scientist trying to figure a way to safely store solar panels inside a rocket, trying to find a way to withstand the immense forces during the launch and then deploying them in space. Satellite solar panels are delicate and not forgive mistake while handling them. Origami helped create from miniature robots that administer drugs to satellite solar panels that fold and can be stored safely in a rocket Modern technology is trying to make everything smaller. To understand this process we will create a few basic Origami Designs and afterwards we will see how mathematicians and artists create Origami designs and build the future. The bending, curvature and design of origami need a lot of math and the only way to make all the elements play together is by following mathematical methods and procedures. Scientists use math as some kind of pipeline to truth.Modern scientists use origami by applying mathematical rules and procedures to improve rockets, science, robotics and nearly every aspect of our every day to day life. However, it turns out that techniques developed for Origami can be incredibly useful in technology, robotics and engineering It is an ancient art, and for the longest time, it was mostly a recreational pursuit, without real-life applications.

Origami 折り紙, Japanese pronunciation: or, from ori meaning "folding", and kami meaning "paper") is the art of paper folding, which is often associated with Japanese culture.