Vertex labeling of a half-cube to induce face labels in arithmetic progression

نویسندگان

چکیده

A plane, passing through the center and orthogonal to a diagonal, slices cube into two identical halves each having three triangles, pentagons hexagon. If you label ten vertices of half-cube with numbers, then face is said receive an induced given by sum all around it. Label digits 0 9 so that labels triangles constitute six consecutive multiples fixed number, or more generally numbers in arithmetic progression.

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ژورنال

عنوان ژورنال: Indian Journal of Pure and Applied Mathematics

سال: 2021

ISSN: ['0019-5588', '0975-7465', '2455-0000']

DOI: https://doi.org/10.1007/s13226-021-00151-3