7L 8s: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-02-~~13 12~~:50:36 UTC</tt>.

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-24 10:57:13 UTC</tt>.

: The original revision id was <tt>~~540907760~~</tt>.

: The original revision id was <tt>552007120</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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||= 2\15 ||= ||= ||= || ||= 1 1 1 1 1 1 1 1

1 1 1 1 1 1 1 ||= 160.0 ||= 320.0 ||= 480.0 ||= 640.0 || 800.0 || 960.0 || 1120.0 ||= ||

|| || || || || 9\67 ||= 4 5 4 5 4 5 4 5

4 5 4 5 4 5 4 ||= 161.2 ||= 322.4 || 483.6 || 644.8 || 806 || 967.2 || 1128.4 || ||

||= ||= ||= ||= 7\52 || ||= 3 4 3 4 3 4 3 4

3 4 3 4 3 4 3 ||= 161.5 ||= 323.1 ||= 484.6 ||= 646.2 || 807.7 || 969.2 || 1130.8 ||= ||

||= ||= ||= 5\37 ||= || ||= 2 3 2 3 2 3 2 3

2 3 2 3 2 3 2 ||= 162.2 ||= 324.3 ||= 486.5 ||= 648.6 || 810.8 || 973.0 || 1135.1 ||= Optimal rank range (L/s=3/2) porcupine ||

|| || || || || 13\96 ||= 5 8 5 8 5 8 5 8

5 8 5 8 5 8 5 ||= 162.5 ||= 325 || 487.5 || 650 || 812.5 || 975 || 1137.5 ||= Golden porcupine when L/s=phi ||

||= ||= ||= ||= 8\59 || ||= 3 5 3 5 3 5 3 5

3 5 3 5 3 5 3 ||= 162.7 ||= 325.4 ||= 488.1 ||= 650.8 || 813.6 || 976.3 || 1139.0 ||= ||

||= ||= 3\22 ||= ||= || ||= 1 2 1 2 1 2 1 2

1 2 1 2 1 2 1 ||= 163.6 ||= 327.3 ||= 490.9 ||= 654.5 || 818.2 || 981.8 || 1145.5 ||= Boundary of propriety (generators

smaller than this are proper) ||

||= ||= ||= ||= 7\51 || ||= 2 5 2 5 2 5 2 5

2 5 2 5 2 5 2 ||= 164.7 ||= 329.4 ||= 494.1 ||= 658.8 || 823.5 || 988.2 || 1152.9 ||= ||

|| || || || || ||= 1 ~~2.97~~ 1 ~~2.97 etc.~~ ||= 165.48 ||= 330.96 || ~~496~~.4 || ~~662~~.0 || ~~827~~.4 || ~~992~~.9 || ~~1158~~.8 || L/s=~~3/2^(1/75)~~ ||

|| || || || || ||= 1 e 1 e 1 e 1 e

1 e 1 e 1 e 1 ||= 165.1 ||= 330.2 || 495.3 || 660.3 || 825.4 || 990.5 || 1155.6 || L/s=e ||

||= ||= ||= 4\29 ||= || ||= 1 3 1 3 1 3 1 3

1 3 1 3 1 3 1 ||= 165.5 ||= 331.0 ||= 496.6 ||= 662.1 || 827.6 || 993.1 || 1158.6 ||= ||

|| || || || || ||= 1 ~~3.03~~ 1 ~~3.03~~ etc. ||= 165.6 ||= 331.1 || ~~496~~.7 || 662.2 || ~~827~~.8 || ~~993~~.3 || ~~1158~~.9 || L/s=~~3*2^(1/75)~~ ||

|| || || || || ||= 1 pi 1 pi etc. ||= 165.7 ||= 331.4 || 497.1 || 662.85 || 828.5 || 994.3 || 1160.0 || L/s=pi ||

||= ||= ||= ||= 5\36 || ||= 1 4 1 4 1 4 1 4

1 4 1 4 1 4 1 ||= 166.7 ||= 333.3 ||= 500.0 ||= 666.7 || 833.3 || 1000.0 || 1166.7 ||= ||

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<td>9\67

</td>

<td style="text-align: center;">4 5 4 5 4 5 4 5

<td style="text-align: center;">4 5 4 5 4 5 4 5

4 5 4 5 4 5 4

</td>

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Line 169:

<td>

</td>

<td style="text-align: center;">2 3 2 3 2 3 2 3

<td style="text-align: center;">2 3 2 3 2 3 2 3

2 3 2 3 2 3 2

</td>

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Line 200:

<td>13\96

</td>

<td style="text-align: center;">5 8 5 8 5 8 5 8

<td style="text-align: center;">5 8 5 8 5 8 5 8

5 8 5 8 5 8 5

</td>

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Line 262:

<td>

</td>

<td style="text-align: center;">1 2 1 2 1 2 1 2

<td style="text-align: center;">1 2 1 2 1 2 1 2

1 2 1 2 1 2 1

</td>

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Line 325:

<td>

</td>

<td style="text-align: center;">1 ~~2.97~~ 1 ~~2.97 etc.~~

<td style="text-align: center;">1 e 1 e 1 e 1 e

1 e 1 e 1 e 1

</td>

<td style="text-align: center;">165.48

<td style="text-align: center;">165.1

</td>

<td style="text-align: center;">330.96

<td style="text-align: center;">330.2

</td>

<td>~~496~~.4

<td>495.3

</td>

<td>~~662~~.0

<td>660.3

</td>

<td>~~827~~.4

<td>825.4

</td>

<td>~~992~~.9

<td>990.5

</td>

<td>~~1158~~.8

<td>1155.6

</td>

<td>L/s=~~3/2^(1/75)~~

<td>L/s=e

</td>

</tr>

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<td>

</td>

<td style="text-align: center;">1 ~~3.03~~ 1 ~~3.03~~ etc.

<td style="text-align: center;">1 pi 1 pi etc.

</td>

<td style="text-align: center;">165.6

<td style="text-align: center;">165.7

</td>

<td style="text-align: center;">331.1

<td style="text-align: center;">331.4

</td>

<td>~~496~~.7

<td>497.1

</td>

<td>662.2

<td>662.85

</td>

<td>~~827~~.8

<td>828.5

</td>

<td>~~993~~.3

<td>994.3

</td>

<td>~~1158~~.9

<td>1160.0

</td>

<td>L/s=~~3*2^(1/75)~~

<td>L/s=pi

</td>

</tr>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-02-13 12:50:36 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-24 10:57:13 UTC</tt>.<br>
-: The original revision id was <tt>540907760</tt>.<br>
+: The original revision id was <tt>552007120</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 11: / Line 11: @@
 ||= 2\15 ||=   ||=   ||=   ||   ||= 1 1 1 1 1 1 1 1
 1 1 1 1 1 1 ||= 160.0 ||= 320.0 ||= 480.0 ||= 640.0 || 800.0 || 960.0 || 1120.0 ||=   ||
 ||   ||   ||   ||   || 9\67 ||= 4 5 4 5 4 5 4 5
 5 4 5 4 5 4 ||= 161.2 ||= 322.4 || 483.6 || 644.8 || 806 || 967.2 || 1128.4 ||   ||
 ||=   ||=   ||=   ||= 7\52 ||   ||= 3 4 3 4 3 4 3 4
 4 3 4 3 4 3 ||= 161.5 ||= 323.1 ||= 484.6 ||= 646.2 || 807.7 || 969.2 || 1130.8 ||=   ||
 ||=   ||=   ||= 5\37 ||=   ||   ||= 2 3 2 3 2 3 2 3
 3 2 3 2 3 2 ||= 162.2 ||= 324.3 ||= 486.5 ||= 648.6 || 810.8 || 973.0 || 1135.1 ||= Optimal rank range (L/s=3/2) porcupine ||
 ||   ||   ||   ||   || 13\96 ||= 5 8 5 8 5 8 5 8
 8 5 8 5 8 5 ||= 162.5 ||= 325 || 487.5 || 650 || 812.5 || 975 || 1137.5 ||= Golden porcupine when L/s=phi ||
 ||=   ||=   ||=   ||= 8\59 ||   ||= 3 5 3 5 3 5 3 5
 5 3 5 3 5 3 ||= 162.7 ||= 325.4 ||= 488.1 ||= 650.8 || 813.6 || 976.3 || 1139.0 ||=   ||
 ||=   ||= 3\22 ||=   ||=   ||   ||= 1 2 1 2 1 2 1 2
 2 1 2 1 2 1 ||= 163.6 ||= 327.3 ||= 490.9 ||= 654.5 || 818.2 || 981.8 || 1145.5 ||= Boundary of propriety (generators
 smaller than this are proper) ||
 ||=   ||=   ||=   ||= 7\51 ||   ||= 2 5 2 5 2 5 2 5
 5 2 5 2 5 2 ||= 164.7 ||= 329.4 ||= 494.1 ||= 658.8 || 823.5 || 988.2 || 1152.9 ||=   ||
-||   ||   ||   ||   ||   ||= 1 2.97 1 2.97 etc. ||= 165.48 ||= 330.96 || 496.4 || 662.0 || 827.4 || 992.9 || 1158.8 || &lt;span style="display: block; text-align: center;"&gt;L/s=3/2^(1/75)&lt;/span&gt; ||
+||   ||   ||   ||   ||   ||= 1 e 1 e 1 e 1 e
+e 1 e 1 e 1 ||= 165.1 ||= 330.2 || 495.3 || 660.3 || 825.4 || 990.5 || 1155.6 || &lt;span style="display: block; text-align: center;"&gt;L/s=e&lt;/span&gt; ||
 ||=   ||=   ||= 4\29 ||=   ||   ||= 1 3 1 3 1 3 1 3
 3 1 3 1 3 1 ||= 165.5 ||= 331.0 ||= 496.6 ||= 662.1 || 827.6 || 993.1 || 1158.6 ||=   ||
-||   ||   ||   ||   ||   ||= 1 3.03 1 3.03 etc. ||= 165.6 ||= 331.1 || 496.7 || 662.2 || 827.8 || 993.3 || 1158.9 || &lt;span style="display: block; text-align: center;"&gt;L/s=3*2^(1/75)&lt;/span&gt; ||
+||   ||   ||   ||   ||   ||= 1 pi 1 pi etc. ||= 165.7 ||= 331.4 || 497.1 || 662.85 || 828.5 || 994.3 || 1160.0 || &lt;span style="display: block; text-align: center;"&gt;L/s=pi&lt;/span&gt; ||
 ||=   ||=   ||=   ||= 5\36 ||   ||= 1 4 1 4 1 4 1 4
 4 1 4 1 4 1 ||= 166.7 ||= 333.3 ||= 500.0 ||= 666.7 || 833.3 || 1000.0 || 1166.7 ||=   ||
@@ Line 106: / Line 107: @@
          &lt;td&gt;9\67&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;4 5 4 5 4 5 4 5 &lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;4 5 4 5 4 5 4 5&lt;br /&gt;
 5 4 5 4 5 4&lt;br /&gt;
 &lt;/td&gt;
@@ Line 168: / Line 169: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;2 3 2 3 2 3 2 3 &lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;2 3 2 3 2 3 2 3&lt;br /&gt;
 3 2 3 2 3 2&lt;br /&gt;
 &lt;/td&gt;
@@ Line 199: / Line 200: @@
          &lt;td&gt;13\96&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;5 8 5 8 5 8 5 8 &lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;5 8 5 8 5 8 5 8&lt;br /&gt;
 8 5 8 5 8 5&lt;br /&gt;
 &lt;/td&gt;
@@ Line 261: / Line 262: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;1 2 1 2 1 2 1 2 &lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1 2 1 2 1 2 1 2&lt;br /&gt;
 2 1 2 1 2 1&lt;br /&gt;
 &lt;/td&gt;
@@ Line 324: / Line 325: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;1 2.97 1 2.97 etc.&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1 e 1 e 1 e 1 e &lt;br /&gt;
+e 1 e 1 e 1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;165.48&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;165.1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;330.96&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;330.2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;496.4&lt;br /&gt;
+         &lt;td&gt;495.3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;662.0&lt;br /&gt;
+         &lt;td&gt;660.3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;827.4&lt;br /&gt;
+         &lt;td&gt;825.4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;992.9&lt;br /&gt;
+         &lt;td&gt;990.5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1158.8&lt;br /&gt;
+         &lt;td&gt;1155.6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;L/s=3/2^(1/75)&lt;/span&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;L/s=e&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 385: / Line 387: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;1 3.03 1 3.03 etc.&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1 pi 1 pi etc.&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;165.6&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;165.7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;331.1&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;331.4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;496.7&lt;br /&gt;
+         &lt;td&gt;497.1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;662.2&lt;br /&gt;
+         &lt;td&gt;662.85&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;827.8&lt;br /&gt;
+         &lt;td&gt;828.5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;993.3&lt;br /&gt;
+         &lt;td&gt;994.3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1158.9&lt;br /&gt;
+         &lt;td&gt;1160.0&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;L/s=3*2^(1/75)&lt;/span&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;L/s=pi&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;