Showing posts with label geometry. Show all posts
Showing posts with label geometry. Show all posts

Friday, August 5, 2011

Art of Modern Earth - How Crop Circle Created - Step three: Tools for creating CC


Crop Circle Makers


The blurred picture above is the picture of several renowned crop circle artists. So, why i blur their pic??, cause if the artists of the CCs are recognized by CC admirer, it will make the CC not so attractive as before...(or EVEN MORE ATTRACTIVE !!!).

This article is not to argue whether those peoples are really the makers of all CC on earth or not, but to develop some common understanding whether their tools really worked out at the crop fields or not



Wednesday, August 3, 2011

Is it GPS Got Involved in Creating Crop Circles

GPS system

Actually, i want to explore about the possibility of the GPS involvement in creating Crop Circle in my later post about tools for making crop circle. But, because of recent news that claiming the GPS is the secret behind the crop circle making, so i think it is better to discuss it now.

Thursday, July 28, 2011

Art of Modern Earth - How Crop Circle Created - Step Two : Designing the Drawing - The Spiral


Fibbonacci Spiral


There many kind of spiral, such as archemedean spiral, bernoulli spiral, fibbonacci spiral etc. Drawing the spiral is a lot more difficult than circle drawing. Without special tools, theoretically only fibbonacci spiral can be created on the crop field such as in above picture.

To construct the fibbonacci spiral the step is as follows.
  • Draw two  squares on top of each other. 
  • At the corner of  one square, put the pivot position to draw a quarter circles inside the squares. Your work should look like this

Wednesday, July 27, 2011

Art of Modern Earth - How Crop Circle Created - Step Two : Designing the Drawing - The Polygon

The next element of crop circle we need to know is the polygon. The most appearance of polygon used in early artists CC designs are equilateral triangle, square, the pentagon, five-pointed star (pentagram), the hexagon, six-pointed star (hexagram) and others.

Here is how to construct an equilateral triangle 

Constructing Equilatereal Triangle

In order to construct  an equilateral triangle, you need to draw 4 same diameter auxiliary  circles. And each circle has 2 constraint, i.e : center circle position (point1, 2, 3a and 3b) and the diameter. the step in constructing the triangle (this is the algorithm to draw perfect equilateral triangle):

Tuesday, July 26, 2011

Art of Modern Earth - How Crop Circle Created - Step Two : Designing the Drawing

After deciding the message that you want to deliver, the next step is to design or construct the drawing that bundling the message. 
Before i continue, i want to talk about something called nodal constraint.
hmmm. Its a curious word, really.

Nodal constraint is refer to the interdependency of the position of one node to the overall design. Changing coordinate of this nodal constraint  will affect the overall design..

By this, I mean that if your crop design is using for example 10 non concentric circles, you must first has to mark precisely the position at the field where are the center of those 10 circles before you begin your work. One mistake in placing the center pivot of each circle will result in a highly ridiculous crop circle ever.
Ok, lets continue again.

As we all know that crop circle formation is basically composed of circle or arc either as the main object (something you must draw) or auxilliary object (you must draw it in order to create another object or a segment line). As an auxilliary  object, the circle can be used to draw equilateral triangle, square, pentagon, star, hexagon and all kind of polygon.

To draw a cirle there are two thing that has to be fulfilled: the position of the center circle and the diameter of the circle (2 constraints with one nodal constraint, i.e : center pos), meanwhile to draw an arc beside center pos and dia, you must define the position of where its start and end (4 constraints with 3 nodal constraints, i.e: pos of center, start point and end point).