Reference Talk:Tiling Pattern - Revision history

Wfpokorny: Cleanup. Moved information into tiling.pov example.

2016-09-27T14:43:04Z

Cleanup. Moved information into tiling.pov example.

Wfpokorny: Table border to 5px

2016-09-25T14:47:14Z

Table border to 5px

Wfpokorny: Adding table of tiling to unit square scaling vectors.

2016-09-23T17:47:04Z

Adding table of tiling to unit square scaling vectors.

Wfpokorny: Initial copy of tiling pattern page to prep for update.

2016-09-23T17:07:48Z

Initial copy of tiling pattern page to prep for update.

New page

* Adding a table of unit square normalization scales.

[[Category:Patterns]]
{{#indexentry:tiling, keyword}}
{{#indexentry:tiling, pattern}}
{{#indexentry:keyword, tiling}}
{{#indexentry:pattern, tiling}}
The <code>tiling</code> pattern creates a series tiles in the x-z plane. See the image below for examples of the twenty-seven available patterns.
The syntax is as follows:
<pre>
pigment {
tiling Pattern_Number
[PATTERN_MODIFIERS...]
}
</pre>
<table class="centered" width="580px" cellpadding="0" cellspacing="10">
<tr>
<td>[[Image:RefImgTiling2.gif|center|560px]]</td>
</tr>
<tr>
<td>The various tiling patterns annotated by tiling pattern and tiling type respectively</td>
</tr>
</table>

For each pattern, each individual tile of the pattern has the same beveling as the other tiles in that pattern, allowing regular caulking to be defined. For a pattern with N tile types (where N is the tiling type noted in the above image) the main color/texture of the tiles are at x/N with x going from 0 to N-1, and the extreme color/texture caulk for these tiles are at (x+1)/N. The bevel covers the range between these two values.

To begin exploring the <code>tiling</code> pattern right away, see the distribution file <code>~scenes/textures/pattern/tiling.pov</code>. It uses obvious colors to better illustrate how the feature works, and you can optionally write it's <code>color_map</code> to a text file. Once you get a feel for the break points, you can always define you own map!

← Older revision		Revision as of 14:43, 27 September 2016
Line 1:		Line 1:
−	* Adding a table of unit square normalization scales.

−	~~[[Category:Patterns]]~~
−	~~{{#indexentry:tiling, keyword}}~~
−	~~{{#indexentry:tiling, pattern}}~~
−	~~{{#indexentry:keyword, tiling}}~~
−	~~{{#indexentry:pattern, tiling}}~~
−	~~<p>The <code>tiling</code> pattern creates a series tiles in the x-z plane. See the image below for examples of the twenty-seven available patterns.</p>~~
−	~~<p>The syntax is as follows:</p>~~
−	~~<pre>~~
−	~~pigment {~~
−	~~tiling Pattern_Number~~
−	~~[PATTERN_MODIFIERS...]~~
−	}
−	~~</pre>~~
−	~~<table class="centered" width="580px" cellpadding="0" cellspacing="10">~~
−	~~<tr>~~
−	~~<td>[[Image:RefImgTiling2.gif\|center\|560px<!--centered--->]]</td>~~
−	~~</tr>~~
−	~~<tr>~~
−	~~<td><p class="caption">The various tiling patterns annotated by tiling pattern and tiling type respectively</p></td>~~
−	~~</tr>~~
−	~~</table>~~
−
−	<p>For each pattern, each individual tile of the pattern has the same beveling as the other tiles in that pattern, allowing regular caulking to be defined. For a pattern with N tile types (where N is the tiling type noted in the above image) the main color/texture of the tiles are at x/N with x going from 0 to N-1, and the extreme color/texture caulk for these tiles are at (x+1)/N. The bevel covers the range between these two values.</p>
−
−	<p>To begin exploring the <code>tiling</code> pattern right away, see the distribution file <code>~scenes/textures/pattern/tiling.pov</code>. It uses obvious colors to better illustrate how the feature works, and you can optionally write it's <code>color_map</code> to a text file. Once you get a feel for the break points, you can always define you own map!</p>
−
−	~~<p>The scale required to fit the core repeated tile into a unit square size for each tiling pattern is given in the table below.</p>~~
−
−	~~<table class="centered" cellpadding="5" cellspacing="0" border="5" border-collapse="collapse">~~
−	~~<tr>~~
−	~~<th>Tiling Number</th>~~
−	~~<th>Unit square normalization scale</th>~~
−	~~</tr>~~
−	~~<tr><td> 1</td> <td><1,1,1> </td></tr>~~
−	~~<tr><td> 2</td> <td><2/3,1,1/sqrt(3)> </td></tr>~~
−	~~<tr><td> 3</td> <td><1,1,2/sqrt(3)> </td></tr>~~
−	~~<tr><td> 4</td> <td><1,1,2/sqrt(3)> </td></tr>~~
−	~~<tr><td> 5</td> <td><2/3,1,1/sqrt(3)> </td></tr>~~
−	~~<tr><td> 6</td> <td><1/4,1,1/4> </td></tr>~~
−	~~<tr><td> 7</td> <td><1/(sqrt(2)+1),1,1/(sqrt(2)+1)> </td></tr>~~
−	~~<tr><td> 8</td> <td><1,1,1/(sqrt(3)+2)> </td></tr>~~
−	~~<tr><td> 9</td> <td><1/2,1,1/(2*sqrt(3))> </td></tr>~~
−	~~<tr><td>10</td> <td><1,1,1/2> </td></tr>~~
−	~~<tr><td>11</td> <td><1/3,1,1/3> </td></tr>~~
−	~~<tr><td>12</td> <td><1/3,1,1/3> </td></tr>~~
−	~~<tr><td>13</td> <td><1/(sqrt(3)+1),1,1/(sqrt(3)+1)> </td></tr>~~
−	~~<tr><td>14</td> <td><1/(sqrt(3)+1),1,1/(sqrt(3)+1)> </td></tr>~~
−	~~<tr><td>15</td> <td><1/5,1,1/5> </td></tr>~~
−	~~<tr><td>16</td> <td><1/(sqrt(3)+3),1,1/((sqrt(3)+1.0)*2.0)></td></tr>~~
−	~~<tr><td>17</td> <td><1/(sqrt(3)+3),1,1/((sqrt(3)+1.0)*2.0)></td></tr>~~
−	~~<tr><td>18</td> <td><1/4,1,1/4> </td></tr>~~
−	~~<tr><td>19</td> <td><1/2,1,1/((sqrt(3)/2)*3)> </td></tr>~~
−	~~<tr><td>20</td> <td><1/2,1,1/((sqrt(3)/2)*3)> </td></tr>~~
−	~~<tr><td>21</td> <td><1/(1+sqrt(3)),1,1/(1+sqrt(3))> </td></tr>~~
−	~~<tr><td>22</td> <td><1/(2+sqrt(3)),1,1/(3+(2*sqrt(3)))> </td></tr>~~
−	~~<tr><td>23</td> <td><1/(3+sqrt(3)),1,1/(3+(3*sqrt(3)))> </td></tr>~~
−	~~<tr><td>24</td> <td><1/(3+sqrt(3)),1,1/(3+(3*sqrt(3)))> </td></tr>~~
−	~~<tr><td>25</td> <td><1/(4sqrt(2)),1,1/(4sqrt(2))> (*) </td></tr>~~
−	~~<tr><td>26</td> <td><1/(4sqrt(2)),1,1/(4sqrt(2))> (*) </td></tr>~~
−	~~<tr><td>27</td> <td><1/(4sqrt(2)),1,1/(4sqrt(2))> (*) </td></tr>~~
−	~~<tr>~~
−	~~<td colspan="2"><p class="caption">(*) - Unit square scaling not possible with penrose tiling. Scaling given useful to see all tiles in a way symmetrical in z.</p></td>~~
−	~~</tr>~~
−	~~</table>~~

@@ Line 29: / Line 29: @@
 <p>The scale required to fit the core repeated tile into a unit square size for each tiling pattern is given in the table below.</p>
-<table class="centered" cellpadding="5" cellspacing="0" border="2px solid black" border-collapse="collapse">
+<table class="centered" cellpadding="5" cellspacing="0" border="5" border-collapse="collapse">
 <tr>
    <th>Tiling Number</th>

← Older revision		Revision as of 17:47, 23 September 2016
Line 26:		Line 26:

	<p>To begin exploring the <code>tiling</code> pattern right away, see the distribution file <code>~scenes/textures/pattern/tiling.pov</code>. It uses obvious colors to better illustrate how the feature works, and you can optionally write it's <code>color_map</code> to a text file. Once you get a feel for the break points, you can always define you own map!</p>		<p>To begin exploring the <code>tiling</code> pattern right away, see the distribution file <code>~scenes/textures/pattern/tiling.pov</code>. It uses obvious colors to better illustrate how the feature works, and you can optionally write it's <code>color_map</code> to a text file. Once you get a feel for the break points, you can always define you own map!</p>
		+
		+	<p>The scale required to fit the core repeated tile into a unit square size for each tiling pattern is given in the table below.</p>
		+
		+	<table class="centered" cellpadding="5" cellspacing="0" border="2px solid black" border-collapse="collapse">
		+	<tr>
		+	<th>Tiling Number</th>
		+	<th>Unit square normalization scale</th>
		+	</tr>
		+	<tr><td> 1</td> <td><1,1,1> </td></tr>
		+	<tr><td> 2</td> <td><2/3,1,1/sqrt(3)> </td></tr>
		+	<tr><td> 3</td> <td><1,1,2/sqrt(3)> </td></tr>
		+	<tr><td> 4</td> <td><1,1,2/sqrt(3)> </td></tr>
		+	<tr><td> 5</td> <td><2/3,1,1/sqrt(3)> </td></tr>
		+	<tr><td> 6</td> <td><1/4,1,1/4> </td></tr>
		+	<tr><td> 7</td> <td><1/(sqrt(2)+1),1,1/(sqrt(2)+1)> </td></tr>
		+	<tr><td> 8</td> <td><1,1,1/(sqrt(3)+2)> </td></tr>
		+	<tr><td> 9</td> <td><1/2,1,1/(2*sqrt(3))> </td></tr>
		+	<tr><td>10</td> <td><1,1,1/2> </td></tr>
		+	<tr><td>11</td> <td><1/3,1,1/3> </td></tr>
		+	<tr><td>12</td> <td><1/3,1,1/3> </td></tr>
		+	<tr><td>13</td> <td><1/(sqrt(3)+1),1,1/(sqrt(3)+1)> </td></tr>
		+	<tr><td>14</td> <td><1/(sqrt(3)+1),1,1/(sqrt(3)+1)> </td></tr>
		+	<tr><td>15</td> <td><1/5,1,1/5> </td></tr>
		+	<tr><td>16</td> <td><1/(sqrt(3)+3),1,1/((sqrt(3)+1.0)*2.0)></td></tr>
		+	<tr><td>17</td> <td><1/(sqrt(3)+3),1,1/((sqrt(3)+1.0)*2.0)></td></tr>
		+	<tr><td>18</td> <td><1/4,1,1/4> </td></tr>
		+	<tr><td>19</td> <td><1/2,1,1/((sqrt(3)/2)*3)> </td></tr>
		+	<tr><td>20</td> <td><1/2,1,1/((sqrt(3)/2)*3)> </td></tr>
		+	<tr><td>21</td> <td><1/(1+sqrt(3)),1,1/(1+sqrt(3))> </td></tr>
		+	<tr><td>22</td> <td><1/(2+sqrt(3)),1,1/(3+(2*sqrt(3)))> </td></tr>
		+	<tr><td>23</td> <td><1/(3+sqrt(3)),1,1/(3+(3*sqrt(3)))> </td></tr>
		+	<tr><td>24</td> <td><1/(3+sqrt(3)),1,1/(3+(3*sqrt(3)))> </td></tr>
		+	<tr><td>25</td> <td><1/(4sqrt(2)),1,1/(4sqrt(2))> (*) </td></tr>
		+	<tr><td>26</td> <td><1/(4sqrt(2)),1,1/(4sqrt(2))> (*) </td></tr>
		+	<tr><td>27</td> <td><1/(4sqrt(2)),1,1/(4sqrt(2))> (*) </td></tr>
		+	<tr>
		+	<td colspan="2"><p class="caption">(*) - Unit square scaling not possible with penrose tiling. Scaling given useful to see all tiles in a way symmetrical in z.</p></td>
		+	</tr>
		+	</table>