Exploring Four-Space
Donation protected
I've been working with geometric figures in higher-dimensional spaces since I was a high-school kid 50+ years ago. I discovered many intricate and fascinating figures worthy of sharing with the rest of the world. So I am presently writing a picture book about them for eventual self-publication. About 34 chapters are in various stages of completion. In the meantime, it takes time and resources to produce such a volume, and I'm retired. Time I have, resources are short. So any crowdfunding support would be most appreciated. If you'd like to see the kinds of things I write about, please download the PDF at
http://www.polychora.com/cundy1.pdf
for an example. It will be (after some editing) a chapter of the book, which I am calling The Polytope Book. I have posted the Foreword to this book as a PDF, which I wrote several years ago and now needs updating, at my website here:
http://www.polychora.com/foreword.pdf
The Foreword explains the purpose of the book in much greater detail than can be provided in this campaign description.
As an example of the kinds of pictures I intend to include in The Polytope Book, here is a chart of the 18 non-prismatic convex uniform polyhedra:
http://www.polychora.com/uniformpolyhedra6by30.gif
Please feel free to copy the chart as you wish. As more funding drifts into this website, I'll post more information about the contents of The Polytope Book at my polychora website.
Some people may remember me from my Marvel Comics Index series of the 1970s and 1980s; others may remember me from my various dinosaur works from 1978 through 2009. So you know I am quite able to self-publish my work when it is ready.
Some of the crowdfunding I may generate here will go toward funding a larger polychora website that will feature numerous movies of the three-dimensional sections of various four-dimensional figures, such as this one:
http://www.polychora.com/GreatSwirlprism-Movie.gif
which takes a look at a 4D star I discovered that I call a Great Swirlprism. We can't see all four dimensions of the star at the same time, but we can present the figure as a three dimensional object that changes through time, the so-called "fourth" dimension. The Great Swirlprism has 120 identical pentagrammatic retroprisms as its cells, and 120 corners, or "points." Notice how those points appear suddenly as groups of disjoint expanding polyhedra that eventually comverge into a single figure, then diverge as the star passes through our three-space. All these terms and phenomena, and many more, will be explained in The Polytope Book (or you can look them up with various search engines online).
Incidentally, if you're interested in dinosaurs, here is a link to my Dinosaur Genera List, a table of all published dinosaur names from the 18th century to date:
http://www.polychora.com/dinolist.html
I’ve always been a compiler of interesting things. Here is my current table of the solar system’s numerous planetary (but not asteroidal) satellites. Additions and corrections always welcome:
http://www.polychora.com/moons4.pdf
Do not forget to read the Updates. I bring lots more neat stuff to the table from day to day in those posts.
http://www.polychora.com/cundy1.pdf
for an example. It will be (after some editing) a chapter of the book, which I am calling The Polytope Book. I have posted the Foreword to this book as a PDF, which I wrote several years ago and now needs updating, at my website here:
http://www.polychora.com/foreword.pdf
The Foreword explains the purpose of the book in much greater detail than can be provided in this campaign description.
As an example of the kinds of pictures I intend to include in The Polytope Book, here is a chart of the 18 non-prismatic convex uniform polyhedra:
http://www.polychora.com/uniformpolyhedra6by30.gif
Please feel free to copy the chart as you wish. As more funding drifts into this website, I'll post more information about the contents of The Polytope Book at my polychora website.
Some people may remember me from my Marvel Comics Index series of the 1970s and 1980s; others may remember me from my various dinosaur works from 1978 through 2009. So you know I am quite able to self-publish my work when it is ready.
Some of the crowdfunding I may generate here will go toward funding a larger polychora website that will feature numerous movies of the three-dimensional sections of various four-dimensional figures, such as this one:
http://www.polychora.com/GreatSwirlprism-Movie.gif
which takes a look at a 4D star I discovered that I call a Great Swirlprism. We can't see all four dimensions of the star at the same time, but we can present the figure as a three dimensional object that changes through time, the so-called "fourth" dimension. The Great Swirlprism has 120 identical pentagrammatic retroprisms as its cells, and 120 corners, or "points." Notice how those points appear suddenly as groups of disjoint expanding polyhedra that eventually comverge into a single figure, then diverge as the star passes through our three-space. All these terms and phenomena, and many more, will be explained in The Polytope Book (or you can look them up with various search engines online).
Incidentally, if you're interested in dinosaurs, here is a link to my Dinosaur Genera List, a table of all published dinosaur names from the 18th century to date:
http://www.polychora.com/dinolist.html
I’ve always been a compiler of interesting things. Here is my current table of the solar system’s numerous planetary (but not asteroidal) satellites. Additions and corrections always welcome:
http://www.polychora.com/moons4.pdf
Do not forget to read the Updates. I bring lots more neat stuff to the table from day to day in those posts.
Organizer
Dino George
Organizer
San Diego, CA
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