Mazara

Mazara
Game data
author	Hanspeter Leupp
publishing company	Schaffhauser news
Publishing year	2015
Art	Number puzzle
Teammates	1 player
Duration	depending on difficulty, 10 - ??? min
Age	from 10 years on

The Mazarä is a number puzzle invented by Hanspeter Leupp based on the idea of a magic square .

history

Mazarä were invented by Hanspeter Leupp from Schaffhausen . Born on January 14, 1934, Leupp devoted himself to mathematics for his entire life , including magic squares.

properties

The magic square on the Passion facade of the Sagrada Família

A magical square is needed to make a mazaräs . To expand to a mazara, numbers are removed from a magic square. The puzzle solver's job is to put the missing numbers back in. Depending on where numbers have been removed, the puzzle is easy, harder, or very difficult to solve. Thus Leupp invented a new kind of puzzle. His Ma cal Za choose ra tsel he called "Mazarä".

These “magic number puzzles” were successfully published as a competition in the Thaynger Anzeiger magazine several times in 2015 and had many enthusiastic participants. In addition, puzzles have been published regularly in the Schaffhauser Nachrichten since 2016.

Structure of the Mazara

In a mazara a grid of the size 3 × 3, 4 × 4 or larger is given. The empty fields are to be filled with numbers so that all rows, all columns and both diagonals result in the given sum. Only natural numbers (1,2,3, ...) should be used and no number may appear more than once. The solution is always clear. Further conditions can also be set. For example that in a 4 × 4 square in every inner 2 × 2 square the 4 numbers must also add up to the given sum or that the number of usable numbers is restricted etc. etc. ...

Examples and solutions

Pandiagonal Mazara

Pandiagonal Mazara as a result have a pandiagonal magic square

Light example of a pandiagonal Mazaräs

Total = 176

	70	81
87	13	12
7th			18th
		1

solution

6th	70	81	19th
87	13	12	64
7th	69	82	18th
76	24	1	75

Symmetrical Mazara

Here the result is a symmetrical magic square .

Light example of a symmetrical mazaras

Sum = 78

	14th	13
16
	17th	18th
15th			12