Bimagic squares

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
Magic square
gptkbp:application recreational mathematics
Mathematical puzzles
gptkbp:definedIn A magic square where both the numbers and their squares form magic squares
gptkbp:difficulty Much rarer and harder to construct than ordinary magic squares
gptkbp:firstKnownExample Constructed by G. Pfeffermann in 1891
https://www.w3.org/2000/01/rdf-schema#label Bimagic squares
gptkbp:notation Often denoted as 2-multimagic square
gptkbp:order The smallest known bimagic square is of order 8
gptkbp:property The sum of numbers in each row, column, and diagonal is the same
The sum of the squares of the numbers in each row, column, and diagonal is also the same
gptkbp:relatedTo Multimagic squares
Trimagic squares
gptkbp:studiedIn gptkb:Number_theory
Combinatorics
gptkbp:bfsParent gptkb:Magic_Squares
gptkbp:bfsLayer 7