Subject: there are no squares with exactly three representations as the sum of two squares.


Subject: the order of Euclid’s propositions up to proposition 21.


Subject: reasoning by analogy


Subject: replacement of Fano’s figure by cyclical pictures.


Subject: representations of numbers as sums of three squares.


Subject: constructing figures for finite geometries with the help of transpositions.


Subject: an example a transposition.


Subject: a reconstruction in first order logic.


Subject: solving queens problems with inductive and abductive inferences.


Subject: describing Iba’s macro operators for peg solitaire


Subject: a bucket of beautiful examples


Subject: solving Bertil Pouwels’ number puzzles without computer


Subject: imaginary configurations as parts of a given configuration in elementary mathematics


Subject: simple solutions for magical star and other problems.


Subject: pentagonal and heptagonal triangular numbers.


Subject: two dimensional pictures.


Subject: finding formulas.


Subject: representations as sums of squares.


Subject: representations as sums of squares simplified.


Subject: ‘seeing as’ and ‘replacing by’ in solving elementary mathematical problems.


Subject: simple solutions for magical star and other problems.


Subject: triangular square numbers.


Subject: finding representations as sums of two squares by successively elaborating the pairs with an odd sum.


Subject: representations of 139 as a sum of two squares.


Subject: changing problem domains


Subject: each natural number is the sum of three triangular numbers, including 0