This short note describes a development of the traditional Pythagorean tree fractal that produces three-dimensional structures based on cubes rather than squares. Adding a 90 degrees rotation at each bifurcation encourages three-dimensional growth, creating increasingly artistic shapes as the branching angle decreases
Abstract: Planners and designers are interested in replicating biospheric landscape patterns to recl...
One of the earliest human beings desires has been to inhabit a place that may assemble beauty and fu...
Trees symbolize growth, strength, and wisdom. Trees also have a function, and these organisms can re...
Tree-like structures, that is, branching structures without cycles, are attractive for artful expres...
Some of nature’s most common features are fractals: patterns that are self-similar at different scal...
There are two types of fractal: natural fractals and fractals set. The examples of natural fractals ...
International audienceIn many dynamics of nature we may witness the iteration of a morphogenetic pro...
Artists have long recognized that trees are self-similar across enormous differences in magnitudes; ...
Fractals are mathematically defined objects with self-similar detail on every level of magnification...
In this paper, we classify and describe a method for constructing fractal trees in three dimensions....
What are fractals? Mathematicians like to make simple models to understand and advance the world aro...
Trees are self-similar branching structures, hierarchically organized with longer and thicker branch...
The presence of formulaic growth patterns such as fractals and the divine proportion in the botanica...
Educação Superior::Ciências Exatas e da Terra::MatemáticaA succession of similar branchings create a...
1st WSEAS International Conference on Landscape Architecture (LA 2008), Univ Algarve, Algarve, PORTU...
Abstract: Planners and designers are interested in replicating biospheric landscape patterns to recl...
One of the earliest human beings desires has been to inhabit a place that may assemble beauty and fu...
Trees symbolize growth, strength, and wisdom. Trees also have a function, and these organisms can re...
Tree-like structures, that is, branching structures without cycles, are attractive for artful expres...
Some of nature’s most common features are fractals: patterns that are self-similar at different scal...
There are two types of fractal: natural fractals and fractals set. The examples of natural fractals ...
International audienceIn many dynamics of nature we may witness the iteration of a morphogenetic pro...
Artists have long recognized that trees are self-similar across enormous differences in magnitudes; ...
Fractals are mathematically defined objects with self-similar detail on every level of magnification...
In this paper, we classify and describe a method for constructing fractal trees in three dimensions....
What are fractals? Mathematicians like to make simple models to understand and advance the world aro...
Trees are self-similar branching structures, hierarchically organized with longer and thicker branch...
The presence of formulaic growth patterns such as fractals and the divine proportion in the botanica...
Educação Superior::Ciências Exatas e da Terra::MatemáticaA succession of similar branchings create a...
1st WSEAS International Conference on Landscape Architecture (LA 2008), Univ Algarve, Algarve, PORTU...
Abstract: Planners and designers are interested in replicating biospheric landscape patterns to recl...
One of the earliest human beings desires has been to inhabit a place that may assemble beauty and fu...
Trees symbolize growth, strength, and wisdom. Trees also have a function, and these organisms can re...