Talk:Mapping to lattice: Difference between revisions

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TallKite (talk | contribs)
Created page with "==Questions== You've taken this {| class="wikitable" |+ ! colspan="2" rowspan="2" | ! colspan="4" |g₁ |- !0 !1 !2 !3 |- ! rowspan="5" |g₂ !-3 | | | |7/1 |- !-2 | | | | |-..."
 
TallKite (talk | contribs)
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This is a valid lattice, but why is it better than the original one, or any of the other possibilities? And why use generators 6/5 and 3/2 instead of 3/2 and 6/5? What is the exact method for finding the best lattice?
This is a valid lattice, but why is it better than the original one, or any of the other possibilities? What is the exact method for finding the best lattice?


--[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 23:33, 15 March 2022 (UTC)
--[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 23:33, 15 March 2022 (UTC)

Revision as of 23:36, 15 March 2022

Questions

You've taken this

g₁
0 1 2 3
g₂ -3 7/1
-2
-1
0 2/1 3/1
1 5/1

and rotated/flipped/sheared it, converting it to this

g₁
-1 0 1 2 3
g₂ 0 2/1 7/1
1 5/1 3/1

This is a valid lattice, but why is it better than the original one, or any of the other possibilities? What is the exact method for finding the best lattice?

--TallKite (talk) 23:33, 15 March 2022 (UTC)