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abcd is a square. How many squares in the same plane have two or more vertices in the set  {a,b,c,d} ?

 Feb 4, 2019
 #1
avatar+4443 
+1

I'm counting 8.

 

(a,b), (b, c), (c, d), (d, a) each with two other vertices not in {a,b,c,d}

 

(a,c) to the ne and sw

(b,d) to the nw and the se

 Feb 4, 2019
 #2
avatar+7372 
+2

I counted 8 too.

1 square share the vertices a and b.

1 square share the vertices c and b.

1 square share the vertices c and d.

1 square share the vertices a and d.

2 square share the vertices c and a.

2 square share the vertices b and d.

MaxWong  Feb 7, 2019

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