Counting Perimeter Magic Triangles

Gupta, Jayaditya (2023) Counting Perimeter Magic Triangles. At Right Angles. pp. 63-67. ISSN 2582-1873

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The problem Arrange numbers from 1 to 9 in the circles (Figure 1) such that the sum of numbers on each side is the same, without repeating any of the numbers (so each number appears exactly once). Such a configuration is called a perimeter magic triangle of order 4 (or simply a magic triangle; we leave out the word ‘perimeter’). The number of circles on each side determines the ‘order’ of the magic triangle. Is such a configuration possible? If so, how many solutions exist?

Item Type: Articles in APF Magazines
Authors: Gupta, Jayaditya
Document Language:
Uncontrolled Keywords: Magic triangle, magic sum, partitions, counting, reasoning
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
Publisher URL:

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