The LaserBoy Thread

[lasermaster1977]

Using the following code to generate the shape shown:


math normalize_frames_with_origin no
math normalize_frames_individually no
math include_unit_reference no


math to_frame 0.50


# one oscillator
math LBO1 phase 90.0
math LBO1 amplitude 1.0
math LBO2 amplitude 1.0
math lissajou


# another oscillator
math LBO1 reset
math LBO2 reset


math LBO1 phase 90.0
math LBO1 amplitude 0.5
math LBO1 frequency -3.0


math LBO2 amplitude 0.5
math LBO2 frequency -3.0
math lissajou


# sum oscillators
math add


# output
math render


Now, instead of adding the two frame sets, how do I multiply both axes of one frame set with say, 20 percent of one axis in the other frame set?

Good example, some of it makes sense, some not as much. Mainly because I've not had time to review your LB basics.
how does the result change with +3 vs -3 freq difference? I mean it is still a |1:3| ratio. Maybe it has to do with the default freq value when not stated or declared.

[Greg]

lasermaster1977: The -3 is to spin one of the circles in the opposite direction, or 180 degrees out of phase.

James: The graphic shows the same shape but this time with only the Y axis amplitude modulated.

[james]

math  to_frame          0.5

math  iterations        2000

math  LBO1 phase        90.0
math  lissajou

# put this in the list
math  store  one_circle

math  duration          8.0
# from 0 to 8 * two_pi (8 loops around)

math  lissajou
# put this in the list
math  store  eight_circles

math  factor       0.0  0.3  0.0
# factor is used by scale
math  scale
# put this in the list
math  store  y_mod

math  recall eight_circles
math  factor       0.3  0.0  0.0
math  scale
# put this in the list
math  store  x_mod

math  recall eight_circles
math  factor       0.3  0.3  0.0
math  scale
# put this in the list
math  store  xy_mod

math  recall  one_circle
math  recall  x_mod
math  add
math  render

math  recall  one_circle
math  recall  y_mod
math  add
math  render

math  recall  one_circle
math  recall  xy_mod
math  add
math  render

[Greg]

Thanks James! That is very helpful. One more and I should be off and running. This one is an oscillator with amplitude modulation and phase modulation, with the modulating signal being 3 times the fundamental.

[james]

Ha!

I thought you had me there for a minute.

But then I remembered a trick to pull out of the bag.

The "warp" operator!

Basically it uses the x y z coordinate values of the second frame_set image to rotate the vertices in the first.

So in this example, I had to use the oscillator_xyz generator to put a sin into the z axis (x and y of the first frame are rotated around the z axis). Note that the amplitude of LBO1 and LBO2 is 0.0.

Thanks for that! This is the first example of the warp operator I have written. I wrote the code purely out of theory.

And it works!

The warp operator multiplies the rotational values by pi, so a regular sin wave oscillates from -1 to +1. This translates to -pi to +pi rotation in radians (one whole rotation).

math  LBO1  frequency   3.0
math  LBO1  phase       180.0
math  LBO1  offset      1.5
math  polar


math  LBO1  reset
math  LBO1  amplitude   0.0
math  LBO2  amplitude   0.0
math  LBO3  amplitude   0.25
math  LBO3  frequency   3.0

#    x = LBO1(t)
#    y = LBO2(t)
#    z = LBO3(t)
math  oscillator_xyz

math  warp
math  render

[lasermaster1977]

James, I want to publicly thank you for the time you spent on the phone with me today. It cleared up a great deal for me on the LaserBoy interface and allowed me to actually create some basic frames that I can relate to from my past harmonic ratios experience. I quickly did these 1:3, 2:3 and 3:5 summation ratios in a matter of minutes.







I look forward to getting more involved with using LB.

[lasermaster1977]

Ha!

I thought you had me there for a minute.

But then I remembered a trick to pull out of the bag.

The "warp" operator!

Basically it uses the x y z coordinate values of the second frame_set image to rotate the vertices in the first.

So in this example, I had to use the oscillator_xyz generator to put a sin into the z axis (x and y of the first frame are rotated around the z axis). Note that the amplitude of LBO1 and LBO2 is 0.0.

Thanks for that! This is the first example of the warp operator I have written. I wrote the code purely out of theory.

And it works!

The warp operator multiplies the rotational values by pi, so a regular sin wave oscillates from -1 to +1. This translates to -pi to +pi rotation in radians (one whole rotation).

math  LBO1  frequency   3.0
math  LBO1  phase       180.0
math  LBO1  offset      1.5
math  polar


math  LBO1  reset
math  LBO1  amplitude   0.0
math  LBO2  amplitude   0.0
math  LBO3  amplitude   0.25
math  LBO3  frequency   3.0

#    x = LBO1(t)
#    y = LBO2(t)
#    z = LBO3(t)
math  oscillator_xyz

math  warp
math  render

That can turn into a Category 3 vortex very easily.

[james]

I've got a big smile on my face right now!

Hey, Greg!

Something else that might be of interest to you is that Liquid Math can import your data tables and load them into the registers for math just like if they were generated from the script. It can also save text tables from the script.

[lasermaster1977]

I've got a big smile on my face right now!

Hey, Greg!

Something else that might be of interest to you is that Liquid Math can import your data tables and load them into the registers for math just like if they were generated from the script. It can also save text tables from the script.

That is something I'd also like to know how to do it, load data tables and save text tables.

[james]

I think it is described in directives.txt.

The "size" operator would also be useful so you can be sure your imports are the size you want them to be.