Fractals are infinitely self-similar, iterated mathematical constructs having fractal dimension. Images via timalbertson, Yale, enchanter. kinds of leaves looking at their inner structure until to the cellular nucleus. From the macro view of a leaf to the span of a tree’s branches, fractals turn up frequently. In this tutorial, I’ll assume that you already have access to an HTML5 canvas, and its 2D context. Trees and Leaves. Fractals are patterns formed from chaotic equations and contain self-similar patterns of complexity increasing with magnification. Fractals have always captivated me, the intricacy of the patterns which can be infinitely complex in nature and simple at the same time. The same is with fractals: you can magnify them many times and after every step you will see the same shape, which is characteristic of that particular fractal. Self-similar structured leaves found in ferns and herbs and simple, single shaped leaves were subjected to different methods of calculating fractal dimension, the box-counting and the perimeter methods. Lightning is an impressive force of nature. Infinite iteration is not possible in nature so all ‘fractal’ patterns are only approximate. 14. A fractal is a geometric shape whose parts reflect the whole. As he proved, fractal patterns were often found in nature’s roughness—in clouds, coastlines, plant leaves, ocean waves, the rise and fall of the Nile River, and in the clustering of galaxies. If you look carefully at a fern leaf, you will notice that every little leaf -part of the bigger one -has the same shape as the whole fern leaf. If you are familiar with recursion, creating them is easy and intuitive. Shorelines. Fractal trees, although not as well known as other types of fractals, are definitely interesting. shaped leaves. Let’s take a look at some of the most jaw-dropping nature fractals ... Look at the shape of the largest leaf, then look for that shape in smaller and smaller forms. Actual leaves were scanned by a HP Photosmart C6380 All-in-One in color of varying sizes. 13. You can say that the fern leaf is self-similar. For example, the leaves of ferns and umbellifers (Apiaceae) are only self-similar (pinnate) to 2, 3 or 4 levels. Although vine leaves lack the self-similarity of the theoretical fractals, leaves are candidates for In [5] a review discussed an image analysis method based on the box counting algorithm was evaluated for its potential to characterize grapevine leaves.