#CREATE REGULAR HEXAGON GSP5 GENERATOR#
#CREATE REGULAR HEXAGON GSP5 FULL#

Even though this pentagon is completely different, it is still interesting to see that this idea has been used before. Also, in the Sierpinski pentagon, the pentagons get smaller in each stage.

In the Sierpinski pentagon, each stage adds five pentagons for one bigger pentagon. In each stage of our pentagon, the number of pentagons added is a constant ten. This is very different from our pentagon fractal.įor us, our pentagons do not fit inside one larger pentagon. In the end, the fractal as a whole is the same exact size as the original pentagon. In each new stage of the pentagon, the pentagons that are added on get smaller. The Sierpinski pentagon does much the same thing: five smaller pentagons are put inside the bigger original pentagon. Each triangle gets three new triangles in it. The triangles go in, progressively getting smaller. In the gasket, one triangle is created and then more triangles that are one third the side length of the original side it is coming off of are created. The Sierpinski pentagon is similar to the Sierpinski gasket. The idea of making a fractal with pentagons has been experimented with before. The image above displays the different iterations of the fractal starting from the first iteration we created, all the way until the sixth iteration. The image above is a close up of the different iterations of the pentagonal fractal. This is displayed below in the two slide-shows of the different iterations of the fractal. We repeated this step multiple times until we got multiple iterations that resembled one another. We connected the points once again to form another decagon and ten more isosceles triangles. We then rotated ten more pentagons that were larger than the first set of pentagons to form an even bigger circular pattern. The sides of the decagon turned out to be the bases of the pentagons of our second iteration of our fractal. The result was ten isosceles triangles and a decagon. We then connected the outer points of this circular pattern to form isosceles triangles.

#CREATE REGULAR HEXAGON GSP5 FULL#

We then began rotating the pentagons around a corresponding side to form a circular pattern.įinally after making 10 pentagons we found that the pentagons connected to form a full 360 degree curve. This was done by rotating each line segment by 108 degrees (the internal angle measure of a pentagon) five times. We began by creating a single pentagon using the rotation function on the program. This fractal was created on the program Geometer's Sketch Pad (GSP). The shapes in each iteration are proportional to those in other iterations. Therefor, the pentagons, decagons and triangles in the second iteration are larger than the corresponding polygons in the first iteration. The shapes get larger as the iterations go on. In each iteration there are ten regular pentagons, ten isosceles triangles, and one large decagon. All other shapes displayed in the image are results of multiple regular pentagons being connected.Įach iteration has the same number and kind of shapes. Regular pentagons are the basic shapes used in the fractal. The name of the fractal is 'Pentagonal Fractal'. 2.1 Proportionality Between Sides of Different Iterations.Note: Always use a power of two texture as atlas. Problem with this is that you only can have a limited amount of images that you can show, because an atlas texture is not limitless in size. Why? If you use one big texture and only one material unity will batch the rendered face into one draw call, which is better than having one drawcall per face. To call methods on other scripts(that are on other gameobjects) you can use face.GetComponent().methodname() Make sure that script has a method where it calculates relative uv coordinates of its mesh based on size and position values

Make sure that script has a public method where you can feed it with position and size values

#CREATE REGULAR HEXAGON GSP5 GENERATOR#

You need to known every position and size of every image inside the atlas and feed your face generator script with those values into two Vector2 1D arrays.Īttach a script to your face prefab, that script should handle the face's UV coordinates. (quad = triangle pair = face ! dont use unity plane, its 100x100 quads). if you want improved performance you need to use an texture atlas, lets say a 2048x2048 texture which contains all the images that you would like to shown on a quad.

Create regular hexagon gsp5