60000 rectangles.

(Continued from 50000 Rectangles #24.) The short version: the rectangles are placed randomly using strange, fractal like, random distributions.

That just tells us the corner of the rectangle. The rectangle also has width, height, color, and orientation.

If these values are constant, then the image is too tame. If these values are chosen randomly for each rectangle, the image is too random.

450 rectangles.

Today
Before now, each rectangle had uniform weight (as defined in 50000 Rectangles #2). Here the rectangle has more weight near the center and less at the edges. Weight affect color overlay and shadows. Also, obviously, there are far fewer than 50000 rectangles today.

Ongoing Story
(Continued from 50000 Rectangles #25.) As described before, the rectangle locations are in N sets of M rectangles. N is small, M is large. N=10, M=5000 for example.

A color is selected for each set. The color is constant within a set, different from set to set. Recall that the locations for each set are determined by different IFS-like function sets. Each set follows a different random distribution. This helps bring out the different characteristics of the different distributions.

1800 rectangles.

(Continued from 50000 Rectangles #26.) All rectangles within an image have the same length. That length changes from image to image, but within an image it is constant.

The rectangle width decreases for each set. The first set has thicker rectangles than the later ones. This helps to compensate for the new rectangles going on top of the earlier ones.

I do one of two things with the rectangle orientation. The first option is to use the same orientation for all the rectangles within a set.

Today
Today's picture has 18 sets of 1000 rectangles. Each of three colors are repeated over six sets. The narrowest rectangle is 80% of the width of the widest. The size change is very subtle here. Six different orientations are present, each repeated three time. It looks like only three orientations. There are three pairs offset by 180 degrees. It is hard to tell a rectangle that points to the right from one that points to the left.

60 rectangles.

(Continued from 50000 Rectangles #27.) The second option for orientation is to use the phase of the rectangle's corner. The phase of a complex number is the angle (in radians) of the ray from the origin to the complex number. See Complex Number. If the orientation is set to the phase, then every rectangle points away from the center.

Today's image uses the orientation-by-set rule described yesterday. 50000 Rectangles #11 is an example of the basic phase rule.

1000 rectangles.

Today
The weight within a rectangle varies by another random/not random distribution. The result is as if the paint is applied using a sponge.

Ongoing Story
(Continued from 50000 Rectangles #28.) Using the phase for the rectangle orientation is fun the first few times, but gets old quick. However there are enough simple tricks to keep it interesting. Sometimes I move the origin, then the rectangles seem to emanate from a different point. If pi/2 (90 degrees) is added to the phase then the rectangles fit into circles around the origin. Other offsets have different effects, creating spirals for example.

If the orientation is doubled then the rectangles seem to point away from the center on one side and into the center on the other. Similar to field lines around a magnetic pole. Combing different multiples and offsets create enough variations to keep me entertained for the whole series.

50000 Rectangles #14, 50000 Rectangles #18, 50000 Rectangles #25 and many others are examples of variations on the phase rule.

100000 rectangles.

Today
A lot of very thin rectangles. Lines really. Each color set is following a different IFS rule set.

Ongoing Story
(Continued from 50000 Rectangles #29.) Rules have exceptions. All of the color, length, width, orientation rules just described are broken on occasion.

1600000 rectangles.

160000 rectangles.

Each IFS set today consists of a single function. So no randomness, the image is fully deterministic.

160000 rectangles.

Same idea as yesterday. Tamer color palette.