I know I'm joining this party late, but I brought an extra one: 128 as follows

row     num  cumulative side length   
 1       11          0.000
 2       11        528.000
 3       11       1056.000
 4       11       1584.000
 5       10       2041.261
 6       11       2498.523
 7       10       2955.784
 8       11       3413.046
 9       10       3870.307
10       11       4327.568
11       10       4784.830
12       11       5242.091
        128

Now the real question, in light of the earlier discussions around "power trails"... is this a "power grid" ;)  

Tim
Team AZFastFeet

After I corrected my dumb error, I came up with 127.  You can make one of the inbetween rows 11 as well and skip the triangles, but I don't think there is enough to do it twice, so it only adds one.
 
Bill
 

From: az-geocaching-bounces@listserv.azgeocaching.com [mailto:az-geocaching-bounces@listserv.azgeocaching.com] On Behalf Of David Thompsen
Sent: Sunday, March 13, 2005 10:05 PM
To: listserv@azgeocaching.com
Subject: Re: [Az-Geocaching] Major League Cacher and Cache Density
 
Bill's right : there's room to double up some square rows in the middle of the equilateral grid - probably enough to push the total to 128 or 129.  Mathematicians will have to provide the best answer. Maybe I'll dump the question into the GC.com forums.
 
--Dave, The Cow Spots
Also, did you know?-
The maximum number of caches you can fit in a square mile is 100? Well, that is IF GC.com actually stuck to their .1 "ahem"..."guideline".
 
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