Message #2546

From: Eduard <ed.baumann@bluewin.ch>
Subject: MT colorings
Date: Mon, 17 Dec 2012 15:15:03 -0000

I played arround an created 3 new MT colorings.

{3,6} 7C.xml
<http://f1.grp.yahoofs.com/v1/cDPPUFI-tIKrGTLuXfjdgxMwPeaV_gFlRTU2ib4vH7<br> L7OH2vLyDpF-jmFh9SXHRxevopBKNhvDh8t8wlLF5GjsA0sbOs4SE6MCRWQmo/Eduard/%7B<br> 3%2C6%7D%207C.xml>

{6,3} 4C.xml
<http://f1.grp.yahoofs.com/v1/cDPPULkKkVGrGTLuBz8QoBb3a7O3Tn5ZSuGRZrXRTD<br> Ti2viLScAMJu5kwQUj0KxkZNPzyH7plUbh3H8MKV08chLSOQ0TvNrxn5rAxLg/Eduard/%7B<br> 6%2C3%7D%204C.xml>

{4,4} 56C Skew.xml
<http://f1.grp.yahoofs.com/v1/cDPPUJSM5SyrGTLu92cYivrebTGmqmRPQRF4vtRuFl<br> 3q6GWRI2XPH8vQvg6oO761127dlTgYmOmSH8TM6CULploVYvoefJsdESeGL50/Eduard/%7B<br> 4%2C4%7D%2056C%20Skew.xml>

Questions:

(a) Diminishing colors by dropping one edgeset:

Is {3,6} 7C.xml still in the Torus group? I started with {3,6} 8C.xml in
Torus.

Is {6,3} 4C.xml still in the Klein group? I started with {6,3} 9C.xml in
Klein.

(b) Augmenting colors by extending the edgeset with one :2 more.

{4,4} 56C Skew.xml. I started with {4,4} 49C Skew.xml.

I didn’t get from {4,4|7} to {4,4|8}.

Choosing ExpectedNumColors 64 created an error.

Going down to 56 did partially work.

The skew view shows still the {4,4|7} torus.

In the ‘non skew’ view there are holes.

But is this puzzle still playable?

Kind regards

Ed