Search Results for: lee sallows
A 3×3 Panmagic Square
From Lee Sallows:
Numerical panmagic squares of 3×3 being impossible, the above square is in fact the first known order-3 panmagic square, a boast it can enjoy until the day that someone comes up with an improved solution. Such as one using all nine connected pieces, say.
Or not, perhaps? For the square above has a further property that other panmagic squares may not possess. Choose any three of the four corner pieces. There are four possibilities: aci, cig, agi and acg. Whatever your choice, the three pieces selected will tile the target.
(Thanks, Lee!)
A Surprising Find
Reflexicon
A Semimagic Geomagic Square
Interlocking Squares
Quantum Entanglement
More Geomagic
4-Gon Conclusion
Reciprocity Redux
From Lee Sallows:
“The above three strips of ten numbers have an intriguing property. They record how many times each of the decimal digits (shown at left) occur in the other two strips. Hence the 6 in the left-hand strip identifies the number of 0’s in strips B and C, while the 2 in the centre strip counts the number of 3’s present in strips A and C. Moreover, the same property holds for every number in all three strips.”
See Reciprocation.
(Thanks, Lee.)