Logo by blob - Contribute your own Logo!

END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
thanks and see you perhaps in 10 years again

this forum will stay online for reference
News: Follow us on Twitter
 
*
Welcome, Guest. Please login or register. June 06, 2020, 08:56:25 AM


Login with username, password and session length


The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!


Pages: [1]   Go Down
  Print  
Share this topic on DiggShare this topic on FacebookShare this topic on GoogleShare this topic on RedditShare this topic on StumbleUponShare this topic on Twitter
Author Topic: Repeat along axis formula  (Read 1320 times)
0 Members and 1 Guest are viewing this topic.
Erisian
Guest
« on: February 17, 2012, 07:39:49 PM »

Tell me if I'm being silly but I had an idea for a Repeat along axis formula.  The formula would allow you to repeat an object any number of times along an axis of your choosing.  Is this possible?
Logged
David Makin
Global Moderator
Fractal Senior
******
Posts: 2286



Makin' Magic Fractals
WWW
« Reply #1 on: February 17, 2012, 08:10:41 PM »

Tell me if I'm being silly but I had an idea for a Repeat along axis formula.  The formula would allow you to repeat an object any number of times along an axis of your choosing.  Is this possible?

Yes - just include a modulus mapping such that the moduli used on each axis are centred/offset and scaled as the user wishes.
This could be done as a simple transform of the render space or iteratively as part of the fractal formula.
Of course naive implementation will produce discontinuities but there are various ways to avoid this - similar to the methods of avoiding discontinuities when applying folding etc.
Logged

The meaning and purpose of life is to give life purpose and meaning.

http://www.fractalgallery.co.uk/
"Makin' Magic Music" on Jango
DarkBeam
Global Moderator
Fractal Senior
******
Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #2 on: February 17, 2012, 08:19:21 PM »

Tell me if I'm being silly but I had an idea for a Repeat along axis formula.  The formula would allow you to repeat an object any number of times along an axis of your choosing.  Is this possible?

This is already possible with the current formulas, play a bit with them before asking. Thank you.
Logged

No sweat, guardian of wisdom!
DarkBeam
Global Moderator
Fractal Senior
******
Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #3 on: February 17, 2012, 08:58:05 PM »

Mandelbulb3Dv17{
W.....S....O/...0....2....UQuKEmamAB.nBaatNWVA5ECvfjzfAmF.Q4/HByaEGDziI1km1r65/k
................................MDgIdfqIDz1........A./..................y.2.....
................/M.0/....6Ep0...8.....E2.....6TtBqzCP8tD/..........m/dkpXm1....U
z.EnAnYD12../..........wz..................................u1....y1...sD...../..
.w1...sDrM2i5Xaa0y1Q2Tzk6Oaiyqen3ySIR.tjGMwnNfFycrvDItzyvgdYzsOghII3wtfj3Axrk5J5
Ey13NlvFJkbfyIhccMAOO8sD......Y1..............kD.2....sD..kz....................
.............oAnAr1...sD....z.qRo4..sFP.UW5h/.ISo4.stFP..e5h/.mSo4....../....k1.
..................kz.wzzz1.U..6.P....M4...EB....W....k1....F....8/...I1.....SF52
...U.qFG9yzb2zzzRYoWzz7lz16.mc..zXCc..k18XGQeGyD.sIRhrVAkz1..........2.28.kFrA0.
.Ub96aAIVz9.1se7Umvxz0........../6U0.wzzz1................................E.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1...................................2CcN/UvNP6.eeWCNq0.yRii.EJJUk1f..XR
S1.mx3CcN/UvNP6.QsLsUa3.ibhV..bTV1OK.sSq40.ly3CcN/UvNP6.MwLsUa3.ibhV.kqTV1OK.sSq
40.kz3CcN/UvNP6...EsUa3.eeWCNq0.IJ36wk8.wyLsUa3.................................
E....6....E.....I....Y....UNjl4NdtqNdtaNtZYFH/...........................MU/4...
................................................................................
...../..........................................................................
.....................2.....3....7....AKSgZaPYJaQ7NoI.65.........................
.sU1......U.4.................zD........kz1........wz...........................
...wz0.............................wz...........................................
................................}
Logged

No sweat, guardian of wisdom!
Erisian
Guest
« Reply #4 on: February 18, 2012, 02:57:55 AM »

Thanks both.  I'm always playing with the formulas and trying new things and I wouldn't have asked if I had any idea.  Try to understand my position Darkbeam - I'm mathematically braindead and rely heavily on trial and error.  Thanks anyway and thanks for your hard work on M3D.
Logged
DarkBeam
Global Moderator
Fractal Senior
******
Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #5 on: February 18, 2012, 08:59:18 AM »

If you need to tile escapetime formulas use _boxtiling or _foldinginfy instead wink
Logged

No sweat, guardian of wisdom!
Erisian
Guest
« Reply #6 on: February 18, 2012, 12:32:42 PM »

That's what I needed to know - thanks!
Logged
DarkBeam
Global Moderator
Fractal Senior
******
Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #7 on: February 18, 2012, 01:01:09 PM »

Okay then champagne toast
Logged

No sweat, guardian of wisdom!
Erisian
Guest
« Reply #8 on: February 18, 2012, 05:27:38 PM »

 champagne toast
Logged
Pages: [1]   Go Down
  Print  
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
3D Mandelbrot Formula based on Rotation Away from Azimuthal Axis Theory bugman 14 8231 Last post January 02, 2010, 06:31:13 PM
by mrrgu
t-repeat Mandelbulb3D Gallery bib 0 313 Last post January 13, 2011, 09:45:53 PM
by bib
Repeat an object finitely Programming tryptophan 3 823 Last post April 15, 2013, 01:57:11 AM
by tryptophan
Endless Horizon - deep into the 'x'-axis of the m-set Movies Showcase (Rate My Movie) Chillheimer 2 465 Last post May 02, 2014, 11:12:35 PM
by youhn
Is there something inside this spot or will I repeat zooms forever? Mandelbrot & Julia Set BlackHoleyWhale 1 555 Last post December 31, 2016, 12:17:17 AM
by quaz0r

Powered by MySQL Powered by PHP Powered by SMF 1.1.21 | SMF © 2015, Simple Machines

Valid XHTML 1.0! Valid CSS! Dilber MC Theme by HarzeM
Page created in 0.185 seconds with 28 queries. (Pretty URLs adds 0.012s, 2q)