Franklin Squares Knight Walk
|
16x16 |
|
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
|
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
|
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
|
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
|
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
|
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
|
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
|
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
|
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
|
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
|
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
|
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
|
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
|
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
|
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
|
0 |
1 |
13 |
12 |
11 |
10 |
6 |
7 |
15 |
14 |
2 |
3 |
4 |
5 |
9 |
8 |
|
|
|
|
|
|
|
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
|
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
|
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
|
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
|
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
|
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
|
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
|
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
|
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
0 |
15 |
|
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
1 |
14 |
|
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
13 |
2 |
|
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
12 |
3 |
|
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
11 |
4 |
|
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
10 |
5 |
|
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
6 |
9 |
|
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
7 |
8 |
|
|
|
|
|
|
|
256 |
225 |
48 |
49 |
80 |
81 |
160 |
129 |
16 |
17 |
224 |
193 |
192 |
161 |
112 |
113 |
|
15 |
18 |
223 |
194 |
191 |
162 |
111 |
114 |
255 |
226 |
47 |
50 |
79 |
82 |
159 |
130 |
|
243 |
238 |
35 |
62 |
67 |
94 |
147 |
142 |
3 |
30 |
211 |
206 |
179 |
174 |
99 |
126 |
|
4 |
29 |
212 |
205 |
180 |
173 |
100 |
125 |
244 |
237 |
36 |
61 |
68 |
93 |
148 |
141 |
|
245 |
236 |
37 |
60 |
69 |
92 |
149 |
140 |
5 |
28 |
213 |
204 |
181 |
172 |
101 |
124 |
|
6 |
27 |
214 |
203 |
182 |
171 |
102 |
123 |
246 |
235 |
38 |
59 |
70 |
91 |
150 |
139 |
|
250 |
231 |
42 |
55 |
74 |
87 |
154 |
135 |
10 |
23 |
218 |
199 |
186 |
167 |
106 |
119 |
|
9 |
24 |
217 |
200 |
185 |
168 |
105 |
120 |
249 |
232 |
41 |
56 |
73 |
88 |
153 |
136 |
|
241 |
240 |
33 |
64 |
65 |
96 |
145 |
144 |
1 |
32 |
209 |
208 |
177 |
176 |
97 |
128 |
|
2 |
31 |
210 |
207 |
178 |
175 |
98 |
127 |
242 |
239 |
34 |
63 |
66 |
95 |
146 |
143 |
|
254 |
227 |
46 |
51 |
78 |
83 |
158 |
131 |
14 |
19 |
222 |
195 |
190 |
163 |
110 |
115 |
|
13 |
20 |
221 |
196 |
189 |
164 |
109 |
116 |
253 |
228 |
45 |
52 |
77 |
84 |
157 |
132 |
|
252 |
229 |
44 |
53 |
76 |
85 |
156 |
133 |
12 |
21 |
220 |
197 |
188 |
165 |
108 |
117 |
|
11 |
22 |
219 |
198 |
187 |
166 |
107 |
118 |
251 |
230 |
43 |
54 |
75 |
86 |
155 |
134 |
|
247 |
234 |
39 |
58 |
71 |
90 |
151 |
138 |
7 |
26 |
215 |
202 |
183 |
170 |
103 |
122 |
|
8 |
25 |
216 |
201 |
184 |
169 |
104 |
121 |
248 |
233 |
40 |
57 |
72 |
89 |
152 |
137 |
This is a knight move construction with the first move into column nine row two in the top square and column two row nine in the second square. It makes a most perfect pandiagonal magic square. Because of that all 2x2s have the same total. I used a sequence that produced bent diagonals and half rows and columns with the proper totals to be a Franklin type square.
Some materials on this site are Copyright © Donald Morris 2005 all rights reserved |