Antal Jo'os

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20212023

most citedIsoperimetric problems for zonotopes

1 citations · 1 across the 5 of their papers we have counts for

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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.MG2022★ 1 cited

Isoperimetric problems for zonotopes

Antal Joós, Zsolt Lángi

Shephard (Canad. J. Math. 26: 302-321, 1974) proved a decomposition theorem for zonotopes yielding a simple formula for their volume. In this note we prove a generalization of this…

Perfect packing of squares

Packing 1.35⋅1011 rectangles into a unit square

Isoperimetric problems for zonotopes

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