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Pyramid Texer II

14 posts

WildJack77#

Pyramid Texer II

Can we use Texer II to make a 3d pyramid?
Thanks for the answer.
--WildJack77--
jheriko#
I'll go one better than WotL : render a stack of progressively smaller squares/triangles/<your base shape> to make a pyramid.
jheriko#
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..

😁

JFASI: think more 3d and my original post makes sense 😉
Nanakiwurkz#
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#
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#
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.
Mr_Nudge#
here's my solution
WildJack77#
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-
WildJack77#
Ya, maybe, i'm reading your text too fast...😉

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