Here is a photo of the new textbook A SURVEY OF MATHEMATICS WITH APPLICATIONS 9th Edition
Yesterday I got my copy of the new textbook A SURVEY OF MATHEMATICS WITH APPLICATIONS 9th Edition from Pearson.
This new edition of the textbook was published on January 6, 2012 and has special meaning to me because it features a photo of my prototype sierpinski fractal antenna design in the chapter on Non-Euclidean Geometry and Fractal Geometry (page 555). I have always found fractals interesting and I am really proud that Pearson selected my image to use in their textbook.
As I flipped through the textbook today I was impressed with the improvement in the quality and readability of math textbooks since I was a student!
This textbook has been updated with modern references and provides quite a few real world math problems for students to study. The graphic design of the textbook is top-notch with excellent colour illustrations that will help to explain mathematic concepts to the reader.
Here is a photo of page 555 from the math textbook that features my fractal antenna image.
Here my name, Andrew Hazelden, is listed in the credits section of the textbook.
**Warning** People who get motion sickness might not like the flying camera effect.
This is a 3D fractal movie sequence I created that has some mind-bending visuals. Fractal geometry has a near infinite resolution and is self-similar. This is my first attempt at creating a high definition fly-though movie of a volumetric three-dimensional fractal. It took a little practice to keep the camera from clipping any sidewalls as it navigates through the geometry!
It took about 6 hours to render the high definition sequence on my 8 core Mac-Pro computer. This equates to 154 GHz hours worth of rendering time.
I used the cool open source software program "Mandelbulber". The scene consists of a fractal Hybrid formula using a Menger Sponge overlaid with a Kaleidoscopic IFS. I would like to thank Jason Fletcher for recommending I explore Mandelbulber.
I have been hearing about fractal antennas for a little while and wanted to try making my own fractal antenna to try out the concept. Some of the benefits promoted in research papers are the ability of fractal antennas to receive multiband rf signals, and the ability to shrink the size of the antenna while maintaining signal strength. I decided to create a prototype fractal antenna based upon the Sierpinski Gasket fractal pattern.
This antenna is a prototype antenna. I am posting this article on my blog for the benefit of other antenna building enthusiasts. There is still a lot of work required to finish tuning and improving the design. If you are looking for a general purpose WiFi antenna, either a 2.4 GHz patch or grid antenna are simple and effective solutions for most wireless links. I can recommend L-com as a quality supplier of traditional wireless antennas.
I designed my fractal antenna to be compatible with my Linksys WRT54GS 802.11g router. This was my first test of the fractal antenna concept and I learned a lot. The antenna has a low gain design and through preliminary testing on a 1/2 km WiFi link with a few trees in the path I achieved a reliable link. There is certainly lots of room for improvement through more testing, computer simulation, and better design but fractal antennas do work.
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