Re: schoolkids construct extraordinary magic square

In article <1174622039.647201.137430@xxxxxxxxxxxxxxxxxxxxxxxxxxx> "name" <dohduhdah@xxxxxxxxx> writes:
On Mar 23, 4:29 am, "mensana...@xxxxxxxxxxx" <mensana...@xxxxxxx>
wrote:
On Mar 22, 10:12?pm, "name" <dohduh...@xxxxxxxxx> wrote:
Three Dutch schoolkids from Nijmegen came up with the following magic
square (use a fixed-width font for optimal viewing):

001 142 011 136 008 138 005 139 012 135 002 141
120 027 110 033 113 031 116 030 109 034 119 028
121 022 131 016 128 018 125 019 132 015 122 021
048 099 038 105 041 103 044 102 037 106 047 100
073 070 083 064 080 066 077 067 084 063 074 069
060 087 050 093 053 091 056 090 049 094 059 088
085 058 095 052 092 054 089 055 096 051 086 057
072 075 062 081 065 079 068 078 061 082 071 076
097 046 107 040 104 042 101 043 108 039 098 045
024 123 014 129 017 127 020 126 013 130 023 124
025 118 035 112 032 114 029 115 036 111 026 117
144 003 134 009 137 007 140 006 133 010 143 004

It's named the HSA magic square, from their names
Jesse Hoekstra, Willem Schilte and Petra Alkema.

How hard is it to do that? Can any size square be
solved?- Hide quoted text -

- Show quoted text -

I don't think it's hard to make a magic square, especially using a
computer, but according to mathematicians from Radboud University
(Nijmegen), this is a special Franklin square.

But it is not a Franklin squre. That would require that each half
of a column or row adds up to 435, which is not the case. So calling
it a special Franklin square is misleading.
--
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home: bovenover 215, 1025 jn amsterdam, nederland; http://www.cwi.nl/~***/
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