Pyramid Texer II - AVS Forums

Archive: Pyramid Texer II

WildJack77

3rd September 2006 10:00 UTC

Pyramid Texer II
Can we use Texer II to make a 3d pyramid?
Thanks for the answer.
--WildJack77--

Warrior of the Light

3rd September 2006 13:37 UTC

yes

jheriko

4th September 2006 15:21 UTC

I'll go one better than WotL : render a stack of progressively smaller squares/triangles/<your base shape> to make a pyramid.

JFASI

4th September 2006 23:30 UTC

Methinks he's talking about a 3d pyramid...

jheriko

5th September 2006 13:28 UTC

As opposed to the extremely well known 2d pyramid...

having written a prize winning essay on multidimensional geometry I can tell you that unfortunately every 2d polygon is degenerate (a line or a point) and therfore by extension every 2d pyramid is triangle or a line..

:D

JFASI: think more 3d and my original post makes sense ;)

Nanakiwurkz

6th September 2006 00:03 UTC

Translation
I think what he meant was try making a sierpenski pyramid fractal. where it resizes and multiplys the number of triangles to make a pyramid.

jheriko

6th September 2006 11:13 UTC

huh?
What? Do I have to resort to a diagram?

Imagine a 3d square pyramid.

Look at it from the side


  /\
 /  \
/    \

A good approximation of this for superscopes/texers is a load of slices through it rendered on top of each other:

from the side:


  --
 ----
------

The more slices you use the more pyramid-like it looks. This is what I meant by: "render a stack of progressively smaller squares/triangles/<your base shape> to make a pyramid"

The smarter ones will notice that the relationship between the pyramid's height axis and the side length of the square (polygon) which is stacked to make it is linear, i.e.

l = a * z + b

where l is the side length, z is the z-axis value, a is a scale factor which controls the slope of the pyramid and b is an offset which must be calculated so that the top of the pyramid is a point eg -a*h (for a pyramid of height h with its base on the origin).

e.g.

Consider a square pyramid with base centered on 0,0,0 going to 0,0,1 with 45 degree slope (a = 1). At z = 1 (z = h) the value of l must be zero, so using the relation i constructed above we have that 1*1 + b = 0, so b is -1

Rendering squares is pretty trivial... so hopefully you can all make some simple pyramids now :)

btw, nice einstein quote... I need to remember that next time i see "God does not play dice" quoted.

Warrior of the Light

6th September 2006 13:20 UTC

Okay, you just found me bored enough to actually dig up an old preset and add comments to explain it.

Somebody please hit me with a large cow now.

WildJack77

9th September 2006 08:26 UTC

What did you say?
What did you say Jheriko?? I'm confused..
Slow down!

hornet777

10th September 2006 06:49 UTC

that *is* a good quote! very philosophical

Mr_Nudge

10th September 2006 12:47 UTC

here's my solution

WildJack77

14th September 2006 10:28 UTC

Hey,I found something interesting.
I found another pyramid texer II in Tuggummi's pack, "Functions", on the "Sexy Objects 3-Some" preset.
And, thanks wotl, for you awesome texer II.
But, I haven't download Mr.Nudge's texer II,i will coment his job later.

-WildJack77-

jheriko

14th September 2006 12:40 UTC

btw... how can I slow down with text?

Just read it more slowly ;)

WildJack77

16th September 2006 10:03 UTC

Ya, maybe, i'm reading your text too fast...;)

(still, i FORGOT to download Mr.Nudge's pyramid...oh...)