Jholsenback: 1 revision: Reference Migration Initial Load

2012-03-15T19:07:41Z

1 revision: Reference Migration Initial Load

Jholsenback: 1 revision: Initial Load (TF)

2012-03-11T22:28:05Z

1 revision: Initial Load (TF)

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[[Category:Patterns]]
{{#indexentry:pavement, pattern}}
{{#indexentry:pavement, pattern}}
{{#indexentry:pattern, pavement}}
{{#indexentry:pattern, pavement}}
<p>The <code>pavement</code> is a pattern which paves the x-z plane with a single polyform tile. A polyform is a plane figure constructed by joining together identical basic polygons. The <code>number_of_sides</code> is used to choose that basic polygon: an equilateral triangle (3), a square (4) or a hexagon (6). The <code>number_of_tiles</code> is used to choose the number of basic polygons in the tile while <code>pattern</code> is used to choose amongst the variants.</p>

<p>The syntax is:</p>
<pre>
pigment {
pavement
[PAVEMENT_MODIFIERS...]
}

PAVEMENT_MODIFIERS:
number_of_sides SIDES_VALUE | number_of_tiles TILES_VALUE | pattern PATTERN_VALUE |
exterior EXTERIOR_VALUE | interior INTERIOR_VALUE | form FORM_VALUE |
PATTERN_MODIFIERS
</pre>

<p>A table of the number of patterns:</p>
<table>
<tr><th rowspan="2"> Sides </th><th colspan="6"><center>Tiles</center></th></tr>
<tr><th>1</th><th>2</th><th>3</th><th>4</th><th> 5</th><th> 6</th></tr>
<tr><th><center>3</center></th><td>1</td><td>1</td><td>1</td><td>3</td><td> 4</td><td>12</td></tr>
<tr><th><center>4</center></th><td>1</td><td>1</td><td>2</td><td>5</td><td>12</td><td>35</td></tr>
<tr><th><center>6</center></th><td>1</td><td>1</td><td>3</td><td>7</td><td>22</td><td> </td></tr>
</table>

<table class="centered" width="650x" cellpadding="0" cellspacing="10">
<tr>
<td>
[[Image:RefImgPavement.png|center|630px]]
</td>
</tr>
<tr>
<td>
<p class="caption">The various patterns with 6 squares.</p>
</td>
</tr>
</table>

<p>There is no nomenclature for pattern, they are just numbered from 1 to the maximum relevant value.</p>

<dl>
<dt><code>form</code>
<dd>0, 1 or 2, a special 3 is allowed for square only which copy the look of <code>interior</code> for some additional variations.
</dl>

<dl>
<dt><code>interior</code>
<dd>0, 1 or 2
</dl>
<dl>

<dt><code>exterior</code>
<dd>0, 1 or 2; Not used for hexagon.
</dl>

<p>The <code>form</code>, <code>exterior</code> and <code>interior</code> specify the look of angle used for respectively slow convex (turning side), quick convex (pointy tile) and concave angle (interior angle between many tiles).</p>

<ul><li>0 is a normal pointy angle. (a right angle for square)</li>
<li>1 is the same as 0, but the pointy angle is broken in two. For square, the two corners are broken so as to share middle angle.</li>
<li>2 is a smooth negotiation of the angle, without pointy part.</li>
</ul>

<p class="Note"><strong>Note: </strong> The case of paving the plane with tiles made of 6 hexagons is not supported because not all such tiles would pave the plane. For example, the ring made of six hexagons is not able to pave the plane.</p>

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