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Whenever we start creating a texture, it's
important to analyze the structures and patterns
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of the thing we are creating.
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It's often also useful to even research how
it's made or how it works, to really get a
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good grasp on the fundamental characteristics
of the thing we're trying to reproduce.
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So let's take a look at the brick pattern,
and figure out the main things we need to
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know to create a wall.
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Firstly, on each row of bricks, we have a
horizontally repeating pattern.
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Then each row is also repeated vertically,
but with an offset.
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This is convenient, as it means that the brick
pattern is just a grid with an offset along
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an axis.
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These types of tilings where the repetition
is aligned with the sides of the tiles, are
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the easiest to make.
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This is in contrast with something like a
Pythagorean tiling, which repeats at an angle
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relative to the tile sides, which significantly
complicates the maths.
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Whenever we are reproducing a tiling pattern,
it's important to define whether or not it
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repeats, and if it does, define the unit of
repetition.
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In the case of the bricks we got lucky that
it's just an offset grid pattern.
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An important characteristic of brick walls,
is the proportion of the bricks, and of the
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tiling unit.
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It's important to note that the tiling unit
doesn't necessarily have the same proportions
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as the bricks.
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That's because between the bricks, there is
the space taken up by the mortar, which usually
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has an equal thickness on all sides.
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Let's highlight the tiling unit with a black
outline.
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Here, the mortar is very thin, so the tiling
unit is only slightly larger than a brick.
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But if we start increasing the mortar width,
the tiling unit also grows, and it's ratio
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changes, approaching the ratio of a square.
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So when implementing the repetition, it's
important to use the ratio of the tiling unit,
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including the mortar, rather than just the
ratio of the bricks themselves.
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Bricks can have many sizes, and there are
several standards around the world.
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For this course, I decided to go with standard
UK bricks, as they have appealing proportions,
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and convenient measurements, but we can always
change the proportion of the bricks after
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the fact.
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UK brick dimensions are 215mm, by 102.5, by
65.
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These dimensions may seem odd, or overly specific,
but the beauty of these proportions is that
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when we account for a nominal mortar join
of 10mm, which adds 5mm all around the bricks,
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we get a unit size of 225 by 112.5 by 75,
which is a neat ratio of six:three:two.
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So the ratio between the longest and shortest
sides of the tiling unit is a convenient three:one.
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If you want to know more about the different
brick standards, the Wikipedia page on bricks
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has some good information.
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With the dimensions and tiling characteristics
covered, let's look at the structure of a
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wall.
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The simplest wall will have a single stack
of bricks, with each row being offset by half
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a brick compared to the previous one.
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However, more often than not, a single brick
wall like that does not fulfill thermal or
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structural requirements.
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So it's very common for walls to have multiple
adjacent layers.
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For increased stability, these layers are
usually connected together in one way or another.
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These connections are called bonds, and are
usually made by placing some bricks across
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the layers, rather than lengthwise along the
wall.
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The bricks placed across the layers are called
headers, referring to the fact that in the
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resulting wall, we see the end of the bricks,
which is called the header.
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This is in contrast to the usual lengthwise
bricks, which are called stretchers.
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There are many patterns in which these headers
can be laid, resulting in different structural
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and aesthetic characteristics.
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For our wall, we'll go with a common technique
of having one full row of headers for every
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few rows of stretchers.
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You can find a lot of information on different
bonds and bricklaying patterns on the Wikipedia
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page about brickwork.
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Now that we know the general structure of
a wall, we can think of the specific effect
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we want, and we can use our newfound bricklaying
knowledge to make informed decisions on where
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we might want to deviate from conventions.
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A plain neatly constructed wall can be pretty
boring from a shading perspective.
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So to add some visual interest we can create
some more variation.
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For example, to avoid having too much of a
regular pattern, we can randomize the offset
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of each row of bricks, as well as randomize
how often a header row is laid.
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These kinds of things result in a more poorly
constructed wall, but luckily, our wall doesn't
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have to be structurally sound, so we can take
some liberties for the sake of visual appeal.
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And a poorly constructed wall can definitely
add to that nice rustic look.
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Another thing that can add visual appeal is
having different types of color and texture
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variation.
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This brings us to the different ways in which
variation can manifest itself.
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Notably, there are two main classes of variation,
discrete and continuous.
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Discrete variation happens when we combine
different distinct items.
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For instance, the bricks themselves can have
different colors, and if different colored
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bricks are randomly mixed together at the
time of construction, the wall ends up with
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bricks having independently varying colors.
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On the other hand, the effects of weathering
over time will be continuous, and affect the
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whole wall rather than individual bricks.
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Taking note of these different types of variation
is crucial when choosing how to generate the
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different kinds of textures.
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And to create an appealing texture, it is
often a good idea to combine multiple types
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of variation.
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