• April 20, 2021, 08:41:24 AM

Login with username, password and session length

Author Topic:  My new book is out! Exploring Scale Symmetry  (Read 862 times)

0 Members and 1 Guest are viewing this topic.

Offline TGlad

  • Fractal Friar
  • *
  • Posts: 126
    • Scale symmetry page
My new book is out! Exploring Scale Symmetry
« on: February 21, 2021, 12:05:06 PM »
Hi everyone, my new book is now out: https://www.amazon.co.uk/Exploring-Symmetry-Fractals-Dynamics-Mathematics/dp/9813278544


It's about lots of the different fractals that we have discussed and invented over the years here on FractalForums. So thanks for all the enlightening conversations and great explorations here on this site, I give a big shout out to FractalForums in the book on multiple occasions.   :thumbs: :thumbs:

It is about 3D fractals and the visual ideas behind each one. There are lots of types described, and longtimers here will recognise many of them. Such as the Mandelbox and Mandelbulbs. But also the pyramidal surface fractal, do you remember this one?:



and some much newer ones such as this very spikey looking sphere tree:



Anyway, it is a nice big visual book of fractals and scale symmetry. I hope you enjoy it! :cheer:

Linkback: https://fractalforums.org/index.php?topic=4046.0
« Last Edit: February 22, 2021, 05:33:38 AM by TGlad »

Offline mclarekin

  • 3c
  • ***
  • Posts: 849
Re: My new book is out! Exploring Scale Symmetry
« Reply #1 on: February 22, 2021, 05:48:33 AM »
congratulations, it will be an interesting read

Offline lkmitch

  • Fractal Phenom
  • ****
  • Posts: 47
Re: My new book is out! Exploring Scale Symmetry
« Reply #2 on: February 22, 2021, 04:10:27 PM »
Congratulations!

Offline TGlad

  • Fractal Friar
  • *
  • Posts: 126
    • Scale symmetry page
Re: My new book is out! Exploring Scale Symmetry
« Reply #3 on: February 25, 2021, 08:38:35 AM »
Thanks mclarekin and lkmitch!

Here's another one from the first chapter:



You might recognise it, I called it a semi-dimensional shape because it is exactly two-and-a-half dimensional.
As 3D shapes approach 3D they fill more space, but they are in a sense less rough because they become more like a solid block with a few cracks in it.

So the best examples of fractals are (in my opinion) half way between their topological dimension and embedding dimension. The above one is a surface (topological dimension 2) in 3D (embedding dimension 3) so half way is 2.5D.

It is simple to make, you just replace every square plane

with 32 square planes of one quarter the width


The dark squares here indicate a backwards facing plane. These 'inwards' planes mean the resulting fractal is self-avoiding.

Offline TGlad

  • Fractal Friar
  • *
  • Posts: 126
    • Scale symmetry page
Re: My new book is out! Exploring Scale Symmetry
« Reply #4 on: March 12, 2021, 12:07:57 PM »
Aha, there is a nice banner now, with a fancy 20% off thing. The link is https://doi.org/10.1142/11219 with code WSSB21
If anyone gets a copy, let me know what ya think  :thumbs:  :thumbs:

Offline mclarekin

  • 3c
  • ***
  • Posts: 849
Re: My new book is out! Exploring Scale Symmetry
« Reply #5 on: March 16, 2021, 07:25:30 AM »
read the introduction online,  nice and clearly written  (i get confused easily), I did not realise you are from a cross the ditch from NZ

Offline TGlad

  • Fractal Friar
  • *
  • Posts: 126
    • Scale symmetry page
Re: My new book is out! Exploring Scale Symmetry
« Reply #6 on: March 17, 2021, 03:56:03 AM »
Yes, there's a very extensive preview through google books https://books.google.com.au/books?id=E2MhEAAAQBAJ, I'm kind of surprised publishers let them preview so much.
So you're just across the Tasman hey? Nice place, I visited once... a wee place called Waihi beach in the Coromandel peninsula. I'm in Brissie.

Offline 1Maniac

  • Strange Attractor
  • ******
  • Posts: 85
    • DsyneGrafix Digital Arts
Re: My new book is out! Exploring Scale Symmetry
« Reply #7 on: March 21, 2021, 07:45:27 PM »
I downloaded and resized the banner and it now resides at the top of my site.  :joy:
https://dsynegrafixdigitalarts.com/
Learn to Create with Mandelbulb 3D
https://dsynegrafixdigitalarts.com

Offline TGlad

  • Fractal Friar
  • *
  • Posts: 126
    • Scale symmetry page
Re: My new book is out! Exploring Scale Symmetry
« Reply #8 on: March 22, 2021, 03:02:23 AM »
That's a great idea. The site is awesome by the way, but I'm getting a visual glitch... after a second of seeing the banner, it goes to a page of black, so you have to scroll downwards to get past the black. Happens on Firefox and Chrome and Safari.

Offline weavers

  • Fractal Friend
  • **
  • Posts: 18
Re: My new book is out! Exploring Scale Symmetry
« Reply #9 on: March 22, 2021, 05:55:18 PM »
Congratulations! TGlad

Offline 3DickUlus

  • Administrator
  • *******
  • Posts: 2193
    • Digilantism
Re: My new book is out! Exploring Scale Symmetry
« Reply #10 on: March 22, 2021, 10:26:18 PM »
@1Maniac I get the same as TGlad, black area where banner should be and it looks like a few other graphic elements are missing too ???
« Last Edit: March 23, 2021, 12:47:13 AM by 3DickUlus, Reason: typo »

Offline 1Maniac

  • Strange Attractor
  • ******
  • Posts: 85
    • DsyneGrafix Digital Arts
Re: My new book is out! Exploring Scale Symmetry
« Reply #11 on: March 23, 2021, 04:49:08 AM »
My apologies for the glitch. It's a caching issue! It should be corrected now!

Offline TGlad

  • Fractal Friar
  • *
  • Posts: 126
    • Scale symmetry page
Re: My new book is out! Exploring Scale Symmetry
« Reply #12 on: March 24, 2021, 11:50:12 PM »
I think it is still broken   :,(

Offline 1Maniac

  • Strange Attractor
  • ******
  • Posts: 85
    • DsyneGrafix Digital Arts
Re: My new book is out! Exploring Scale Symmetry
« Reply #13 on: March 25, 2021, 05:22:39 PM »
My deepest apologies! I have racked my brain for two days and I believe I have the issue resolved now! Tested in Vivaldi, Firefox, and Chromium and the page loads properly in all three. Please let me know if you still have a problem viewing the site!

Offline TGlad

  • Fractal Friar
  • *
  • Posts: 126
    • Scale symmetry page
Re: My new book is out! Exploring Scale Symmetry
« Reply #14 on: March 30, 2021, 03:09:40 AM »
Ah, your brain racking must have worked, it looks great.
I particularly like the 'meet the masters' page- https://dsynegrafixdigitalarts.com/meet-the-masters-2/.


xx
Google+ series on scale symmetry

Started by TGlad on Share a fractal

1 Replies
448 Views
Last post May 15, 2018, 01:02:36 PM
by TGlad
xx
Mandelbox Negative Scale

Started by Sabine62 on Fractal Image Gallery

1 Replies
255 Views
Last post November 03, 2018, 04:56:40 PM
by Sabine62
xx
Input to new book on fractals

Started by TGlad on Collaborations & Jobs

5 Replies
1038 Views
Last post July 31, 2019, 04:32:20 PM
by Lee Oliver
xx
Exploring The Number 3

Started by Tas_mania on Fractal Image Gallery

0 Replies
404 Views
Last post November 29, 2017, 10:40:39 PM
by Tas_mania
xx
boolean symmetry

Started by mclarekin on Fractal Image Gallery

6 Replies
372 Views
Last post September 11, 2018, 04:03:16 PM
by Sabine62