First printing: June 2021
Copyright 2021 by Jason Lisle. All rights reserved. No part of this book may be used or reproduced in any manner whatsoever without written permission of the publisher, except in the case of brief quotations in articles and reviews. For information write:
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ISBN: 978-1-68344-240-0
ISBN: 978-1-61458-780-4 (digital)
Library of Congress Number: 2021938434
Unless otherwise noted, Scripture taken from the NEW AMERICAN STANDARD BIBLE , Copyright 1960, 1962, 1963, 1968, 1971, 1972, 1973, 1975, 1977, 1995 by The Lockman Foundation. Used by permission.
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More fascinating fractals with downloadable software!
Dr. Jason Lisle takes the reader on a unique journey through fractals and how complex, beautiful, and amazing they are in Fractals: The Secret Code of Creation. Now you can explore fractals further and print your own images with Fractal Grapher , an included program developed by Dr. Lisle of Biblical Science Institute (available for Windows ). It allows you to
Explore fractals as you plot not only Mandelbrot sets, but nine other types of sets
Save images as *.png, *.bmp, *.jpg, *.tiff, or *.gif
Change brightness, contrast, and colors, and even import your own custom palette
Continue where you left off by loading saved images back into the program
Control plotting speed when zooming in to larger iterations and more complex details
Learn tips on improving the resolution of your images
Download a helpful set of instructions with screenshots that gives details and advice for you to successfully explore the extraordinary world of fractals.
To download your copy, visit: https://biblicalscienceinstitute.com/FractalGrapher/
Table of Contents
The Images in this book are not the result of human creativity. The only human element is the selected color scheme, but the shapes stem from the mind of God.
Dr. Jason Lisle is a Christian astrophysicist who writes and speaks on various topics relating to science and the defense of the Christian faith. He graduated from Ohio Wesleyan University where he majored in physics and astronomy and minored in mathematics. He then earned a masters degree and a Ph.D. in astrophysics at the University of Colorado in Boulder. Dr. Lisle began working in full-time apologetics ministry, specializing in the defense of Genesis. His most well-known book, The Ultimate Proof of Creation, demonstrates that biblical creation is the only logical possibility for origins.
The Secret Code
fractals
Those who reject God like to explain the complexity of biological life by appealing to Darwinian evolution the gradual changing of more primitive forms into more advanced forms as the unsuccessful cases are eliminated.
W hat if mathematicians discovered a secret code embedded in math itself? What would that mean? Suppose that when analyzing certain sets of numbers, we found an amazing work of art embedded in them, far more intricate and complex than any work of man. How would we make sense of such complex beauty in something as simple as numbers? Who put it there?
In fact, just such a code of astounding beauty was discovered in the 1980s. Artwork of tremendous beauty and infinite complexity had been hidden in numbers from the beginning of time. Yet it lay undiscovered until computer technology had advanced to the point that otherwise tedious computations could be performed with rapid efficiency. The beautiful images in this book are not the work of man. They are the very images that were discovered in sets of numbers, hidden in plain sight. How can we make sense
of this? Who or what is responsible for these amazing shapes?
I suggest that secular thinking has no answer. Those who reject God like to explain the complexity of biological life by appealing to Darwinian evolution the gradual changing of more primitive forms into more advanced forms as the unsuccessful cases are eliminated. This view has its problems, of course, but my point is that such an explanation is not even plausible for numbers because numbers do not evolve. It is not as though the number gradually evolved from the number Numbers have always been what they are. Therefore, the artwork displayed in this book did not evolve. It has always existed, being built into numbers.
I suggest that the Christian worldview alone can make sense of this secret code built into numbers. As such, the images in this book are a demonstration of the truth of the Christian worldview. The same God who built beauty into the physical world has also built beauty into the abstract world of numbers. We dont often think about God creating numbers. We tend to think of God creating physical things.
The Secret Code
When we discover a mathematical truth, we have discovered something about the way God thinks.
But even abstract conceptions like numbers could not exist apart from God.
Numbers are a concept of quantity. As concepts, they exist in the mind. We can represent numbers with a written numeral like the Arabic numeral or the Roman numeral II. But these are merely physical representations of an idea. After all, erasing the physical symbol will not cause the number to cease to exist! The number itself is abstract; it cannot be touched or seen, but it exists as a concept of the mind.
We can think about numbers in our mind, but we did not create them or the rules pertaining to them. It is not as though some ancient human simply decided to invent the number and arbitrarily decreed that + should equal No. Humans discovered numbers and the relationships between them. That means that numbers and the relationships between them existed before humans. This makes sense in the
Christian worldview because numbers existed in the mind of God from the beginning of time. The mind of God is
responsible for the existence of numbers and the rules governing their relationships. It has been the privilege of human beings to discover these rules by the gift of logical reasoning that the Lord has so graciously given. When we discover a mathematical truth, we have discovered something about the way God thinks.
The images in this book therefore represent an infinitesimal glimpse into the mind of God. Gods thinking is not only flawlessly rational, but supremely beautiful as well. But exactly how were these images discovered? Where do they come from? A little background information will be helpful.