Message #2482

From: Eduard <baumann@mcnet.ch>
Subject: Edge sets in MagicTile
Date: Wed, 14 Nov 2012 12:45:47 -0000

Edge sets in MagicTile

Visibly you have to balance carefully the sets to get a valable coloring.

Examples

irp {4,5} b30
<!–Green - Yellow–>
<!–around the horn–>
<EdgeSet>1:2:1:2:2:2:1:2:3</EdgeSet>
<!–around the horn other direction–>
<EdgeSet>1:2:3:2:2:2:3:2:3</EdgeSet>
<!–across the bay–>
<EdgeSet>1:2:2:2:2:2:1</EdgeSet>
<!—->
<EdgeSet>1:2:1:2:3:2:3</EdgeSet>
<!–filling in–>
<EdgeSet>1:2:2:3:2:3:2:2:3</EdgeSet>
<!–filling in–>
<EdgeSet>3:2:2:1:2:1:2:2:1</EdgeSet>

  &lt;!--Blue - Red--&gt;<br>
     &lt;!--around the horn--&gt;<br>
     &lt;EdgeSet&gt;1&#58;2&#58;2&#58;2&#58;2&#58;2&#58;1&lt;/EdgeSet&gt;

  &lt;!--All--&gt;<br>
     &lt;!--around the horn or inside the box--&gt;<br>
     &lt;EdgeSet&gt;2&#58;2&#58;2&lt;/EdgeSet&gt;<br>
     &lt;!--Z--&gt;<br>
     &lt;EdgeSet&gt;2&#58;1&#58;2&lt;/EdgeSet&gt;

irp {4,5} a30
<EdgeSet>2:2:2:2:2</EdgeSet>
<EdgeSet>1:2:2:2:2:2:1</EdgeSet>
<EdgeSet>2:1:2:2:2:2:2:1:2</EdgeSet>
<EdgeSet>2:3:1:1:3:2</EdgeSet>
<EdgeSet>1:2:2:1:2</EdgeSet>
<EdgeSet>2:1:2:2:1</EdgeSet>

KQ 24
<EdgeSet>3:3:3</EdgeSet>
I see also 4:4:4 why ?

KQ 56
<EdgeSet>1:2:1:2:1:2:1</EdgeSet>
<EdgeSet>2:2:1:2:2:1:2:2:1:2:2</EdgeSet>
<EdgeSet>2:1:2:2:1:2:2:1:2:2:1</EdgeSet>
<EdgeSet>1:2:2:1:2:2:1:2:2:1:2</EdgeSet>

Are the sets valable for all edges of all colors ?