If you are not familiar with zy0rg, make sure you check his gallery
So, below, we got a not so short log of zy0rg explaining to me and depaz about how to use foci.
Foci FX in Apophysis - Part 3
Just so you have an idea about what is being made, the result go first
Download the complete params for this here: tatasz.deviantart.com/art/Foci…
07:03:51 PM <tatasz> but the ones that you folks were spamming before
07:03:55 PM <tatasz> werent overlapping
07:03:59 PM <tatasz> when rotated
07:04:04 PM <zy0rg> you break the line
07:04:17 PM <zy0rg> of parallel to OX squares
07:04:37 PM <zy0rg> so when you rotate it
07:04:47 PM <zy0rg> you need to scale it appropriately
07:04:54 PM <zy0rg> plus
07:05:02 PM <zy0rg> at some angles...
07:05:08 PM <tatasz> zy0rg: 
exactly
exactly07:05:14 PM <tatasz> how do you scale it
07:05:46 PM <zy0rg> tatasz: you'll understand everything with my next example
07:05:52 PM <zy0rg> gimme a sec to make it
07:06:15 PM <tatasz> 
07:12:51 PM <zy0rg>
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<xform weight="0.5" color="0" opacity="0" linear="1" coefs="1 0 0 1 -3.14159 0" chaos="0 " />
<xform weight="0.5" color="0" opacity="0" linear="1" coefs="1 0 0 1 0 3.14159" chaos="0 " />
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07:19:06 PM <tatasz> zy0rg: hmmm i think i got it
07:19:17 PM <depaz> zy0rg: 
that shown that way more clear 
that shown that way more clear 07:19:29 PM <zy0rg> lol
07:19:58 PM <zy0rg> now the math part
07:20:06 PM <tatasz>
07:20:08 PM <depaz> zy0rg: the rotation part right?
07:20:22 PM <depaz> 
07:20:23 PM <zy0rg> both rotation and scaling
07:20:28 PM <zy0rg> as I found out...
07:20:30 PM <depaz> ok
07:20:38 PM <zy0rg> foci input width is not pi
07:20:44 PM <zy0rg> it's 2pi
07:21:03 PM <zy0rg> clearly visible in last params
07:21:16 PM <tatasz> yup
07:22:17 PM <zy0rg> don't know how to describe it better 
07:22:19 PM <depaz> zy0rg: since the standard tiling is pi, yeah
07:22:23 PM <tatasz> for 0 and 45 that doesnt matter
07:22:42 PM <tatasz> or just make it 2pi
07:22:54 PM <zy0rg> then we need x / y to be some simple number
07:23:01 PM <zy0rg> 2 for example
07:23:16 PM <zy0rg> x/y = tg(a)
07:23:35 PM <zy0rg> so to find a we need atan(x/y)
07:23:44 PM <depaz> 
07:23:47 PM <zy0rg> everything clear so far?
07:24:25 PM <zy0rg> so we get 63.43o
07:24:54 PM <zy0rg> you can see that angle in params
07:25:04 PM <tatasz> zy0rg: wait, whats the x and y here?
07:25:30 PM <zy0rg> tatasz: x and y are "tiling units"
07:26:02 PM <tatasz> zy0rg: hmm how do we find them in this last example?
07:26:15 PM <zy0rg> x is 1 and y is 2 in our example
07:26:32 PM <zy0rg> one x on two x units
07:26:40 PM <zy0rg> one x on two y
07:26:41 PM <tatasz> zy0rg: i dont see it
i dont see it07:26:45 PM <zy0rg> damn typos
07:26:53 PM <zy0rg> 
07:27:04 PM <zy0rg> okay
07:27:06 PM <depaz> zy0rg: I neither see it... 
07:27:09 PM <zy0rg> let me photoshop it
07:27:16 PM <tatasz> zy0rg: yes please
07:31:17 PM <tatasz> zy0rg: 
omg now i got it
omg now i got it07:31:31 PM <depaz> zy0rg: got it!
07:31:41 PM <zy0rg> so
07:31:52 PM <zy0rg> x/y = 2
07:31:56 PM <tatasz> yes
07:32:01 PM <depaz> zy0rg: 
07:32:09 PM <tatasz> lol now its easy
07:32:11 PM <zy0rg> atan(x/y) = 63.43
07:32:40 PM <zy0rg> we rotate xForm 6 on that angle
07:32:48 PM <zy0rg> then the second step
07:32:55 PM <tatasz> scale
07:32:58 PM <zy0rg> yup
07:33:10 PM <zy0rg> it's actually quite simple too
07:33:12 PM <depaz> zy0rg: the scaling...
07:33:25 PM <zy0rg> it's cos(alpha)08:21:44 PM <tatasz> zy0rg: still
08:21:52 PM <tatasz> you said it should be tiled up
08:21:57 PM <tatasz> but its not tiled up
08:21:59 PM <zy0rg> tatasz: no
08:22:02 PM <tatasz> 
08:22:19 PM <zy0rg> I said it's easier to fill it with gasket
08:22:39 PM <zy0rg> but if you have tile then you can fill it with tile too
08:22:52 PM <depaz> zy0rg: I see 
, you can safely move it across x and y too?
, you can safely move it across x and y too?08:22:59 PM <zy0rg> depaz: yup
08:23:33 PM <zy0rg> also moving it to {x=0, y= pi} makes it placed in the center12:09:53 AM <zy0rg> 1. angle by scale
12:10:00 AM <zy0rg> 2. scale by angle
12:10:28 AM <depaz> zy0rg: which one could we apply here?
12:10:38 AM <zy0rg> I've explained how to get scale by angle earlier today
12:10:56 AM <zy0rg> but I see you decided to pick fixed scale here
12:11:01 AM <zy0rg> pi/2
12:11:24 AM <zy0rg> so we could get propre angle for that scale
12:11:29 AM <zy0rg> *proper
12:11:48 AM <depaz> zy0rg: cos(x/y)*pi to get the scale right?
12:11:57 AM <zy0rg> no
12:12:07 AM <depaz> no??
12:12:09 AM <zy0rg> cos(atan(x/y))*pi
12:12:30 AM <depaz> zy0rg: sorry! that's what I mean, it's just my messy head
12:12:37 AM <depaz> I have it written write here
12:12:53 AM <zy0rg> so we have x=2
12:13:08 AM <zy0rg> no
12:13:10 AM <zy0rg> x=1
12:13:31 AM <zy0rg> y=1.0135
12:13:42 AM <depaz> zy0rg: x is obviously 1
12:13:48 AM <depaz> zy0rg: ohhh, got it
12:13:51 AM <depaz>
12:14:15 AM <zy0rg> depaz: full bipolar width is 2
12:14:29 AM <zy0rg> depaz: but here it's only half-filled
12:14:35 AM <zy0rg> so 1
12:14:53 AM <zy0rg> let's choose the ratio 4/1
12:15:09 AM <zy0rg> so we need atan(4/1.0135)
12:15:14 AM <depaz> zy0rg: alright
12:15:31 AM <zy0rg> 75.78
12:15:42 AM <depaz> 75.78° yep
And a little example by myself:
Rotation: 18 degrees CW
Scale: cos(90-18)*pi/2.35 (the pi/2.35 scale factor transforms it into a pi units wide tile).
And, as a little challenge, a focified elliptic splits (starting params by :dev C-91
. Try different angles!
And a little example by myself:
<flame name="graduation test44" version="Apophysis 7x Version 15C.9" size="801 932" center="0.856 -0.021" scale="40.05" oversample="1" filter="0.2" quality="1" background="0 0 0" brightness="4" gamma="4" gamma_threshold="0.04" estimator_radius="9" estimator_minimum="0" estimator_curve="0.4" enable_de="0" plugins="" new_linear="1" curves="0 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1" >You can see the angle here is 18 degrees, while the tile is 2.35 units wide. So a scale and rotation for the FX would be:
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<xform weight="1" color="0" linear="1" coefs="1 0 0 1 -2.35 0" chaos="1 0 " opacity="1" />
<xform weight="1" color="0" linear="1" coefs="1 0 0 -1 0 2" chaos="1 0 " opacity="1" />
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Rotation: 18 degrees CW
Scale: cos(90-18)*pi/2.35 (the pi/2.35 scale factor transforms it into a pi units wide tile).
And, as a little challenge, a focified elliptic splits (starting params by :dev C-91
. Try different angles!<flame name="Apo7X-140123dd-31" version="Apophysis 7x Version 15C.9" size="1920 1200" center="0 0" scale="384" angle="0.208392312688123" rotate="-11.94" oversample="1" filter="0.2" quality="1" background="0 0 0" brightness="43.2695652173913" gamma="1.69" gamma_threshold="0.1014140625" estimator_radius="9" estimator_minimum="0" estimator_curve="0.4" enable_de="0" plugins="" new_linear="1" curves="0 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1" >
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