Antal Jo'os

collaborators

3 papers

math.CO2022

Perfect packing of squares

Antal Joós

It is known that $i = 1 \sum \infty 1/ i^{2} = π^{2} /6$ . Meir and Moser asked what is the smallest $ε$ such that all the squares of sides of length $1$ , $1/2$ , $1/3$ , $\ldots…

math.CO2022

Packing $1.35 \cdot 1 0^{11}$ rectangles into a unit square

Mingliang Zhu, Antal Joós

It is known that $i = 1 \sum \infty \frac{1}{i ( i + 1 )} = 1$ . In 1968, Meir and Moser asked for finding the smallest $ε$ such that all the rectangles of sizes $1/i \times 1/…

math.MG2021

Cubes and Boxes have Rupert's passages in every direction

András Bezdek, Zhenyue Guan, Mihály Hujter +1

It is a $300$ year old counterintuitive observation of Prince Rupert of Rhine that in cube a straight tunnel can be cut, through which a second congruent cube can be passed. Hundre…

Perfect packing of squares

Packing 1.35⋅1011 rectangles into a unit square

Cubes and Boxes have Rupert's passages in every direction

Packing $1.35 \cdot 1 0^{11}$ rectangles into a unit square