• February 27, 2021, 02:25:07 PM

Login with username, password and session length

Author Topic:  My new book is out! Exploring Scale Symmetry  (Read 131 times)

0 Members and 1 Guest are viewing this topic.

Offline TGlad

  • Fractal Friar
  • *
  • Posts: 118
    • 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/announcements-and-news/75/my-new-book-is-out-exploring-scale-symmetry/4046/
« Last Edit: February 22, 2021, 05:33:38 AM by TGlad »

Offline mclarekin

  • 3c
  • ***
  • Posts: 815
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: 42
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: 118
    • 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.


xx
Google+ series on scale symmetry

Started by TGlad on Share a fractal

1 Replies
426 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
235 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
986 Views
Last post July 31, 2019, 04:32:20 PM
by Lee Oliver
xx
-2 scale Mandelbox path traced with an orthographic camera

Started by fusha on Fractal Image Gallery

4 Replies
296 Views
Last post February 20, 2020, 04:34:00 AM
by fusha
xx
Exploring The Number 3

Started by Tas_mania on Fractal Image Gallery

0 Replies
379 Views
Last post November 29, 2017, 10:40:39 PM
by Tas_mania