Translative Packing of Unit Squares into Squares

Translative Packing of Unit Squares into Squares

Every collection of n (arbitrary-oriented) unit squares admits a translative packing into any square of side length √2.5⋅𝑛.

Saved in:

Bibliographic Details
Main Author:	Janusz Januszewski
Format:	Article
Language:	English
Published:	Wiley 2012-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Online Access:	http://dx.doi.org/10.1155/2012/613201
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Groups of Negations on the Unit Square
by: Jiachao Wu
Published: (2014-01-01)

Research on Noise Reduction Scheme of Heat Pump Unit in a Square
by: Xueyong Zhang, et al.
Published: (2020-01-01)

Thermohydraulic Performance Improvement in Heat Exchanger Square Duct Inserted with 45° Inclined Square Ring
by: Amnart Boonloi, et al.
Published: (2020-01-01)

On the mean square of the Lerch zeta-function
by: Antanas Laurinčikas
Published: (1999-12-01)

Cyclotomic equations and square properties in rings
by: Benjamin Fine
Published: (1986-01-01)

Least squares approximations of power series
by: James Guyker
Published: (2006-01-01)

An application to Kato's square root problem
by: Toka Diagana
Published: (2002-01-01)

On the mean square of the periodic zeta-function
by: Audrius Kačėnas, et al.
Published: (2003-12-01)

A Regularized Alternating Least-Squares Method for Minimizing a Sum of Squared Euclidean Norms with Rank Constraint
by: Pablo Soto-Quiros
Published: (2022-01-01)

Design the local square for qualitative upgrading and preserve historical identity Case study: central square of Tabriz gharamalek
by: sara ghahri lalaklou, et al.
Published: (2022-12-01)

Least Squares Problems with Absolute Quadratic Constraints
by: R. Schöne, et al.
Published: (2012-01-01)

Recursive determination of the enumerator for sums of three squares
by: John A. Ewell
Published: (2000-01-01)

Powers of a product of commutators as products of squares
by: Alireza Abdollahi
Published: (2004-01-01)

Multilinear Square Functions with Kernels of Dini’s Type
by: Zengyan Si, et al.
Published: (2016-01-01)

Square variation of Brownian paths in Banach spaces
by: Mou-Hsiung Chang
Published: (1982-01-01)

SQUARE-IT: a proposed approach to square the identified research problem in the literature with the objectives, the appropriate clinical research question, and the research hypothesis
by: Martin Alfuth, et al.
Published: (2025-01-01)

Regeneration the cultural axis Emphasizing the enhancement of the quality of the environment (case study : Enghelab Street,Intersection of Enghelab Square and Ferdowsi Square)
by: mina bakhshi, et al.
Published: (2022-12-01)

On the mean square of the Lerch zeta-function with respect to the parameter
by: Antanas Laurinčikas
Published: (2000-12-01)

An approximate functional equation for the square of the periodic zeta-function
by: Darius Šiaučiūnas
Published: (2002-12-01)

On the mean square for the periodic zeta–function on the critical line
by: Darius Šiaučiūnas
Published: (2001-12-01)

On-Bond Incident Degree Indices of Square-Hexagonal Chains
by: Tariq A. Alraqad, et al.
Published: (2022-01-01)

On the Determinants of the Square-Type Stirling Matrix and Bell Matrix
by: Eunmi Choi, et al.
Published: (2021-01-01)

The Boundedness of Intrinsic Square Functions on the Weighted Herz Spaces
by: Hua Wang
Published: (2014-01-01)

On the class of square Petrie matrices induced by cyclic permutations
by: Bau-Sen Du
Published: (2004-01-01)

In-Plane Vibration Analysis of Square Plate with Multiple Cutouts
by: Shuangxia Shi, et al.
Published: (2021-01-01)

On the Potential of Least Squares Response Method for the Calibration of Superconducting Gravimeters
by: Mahmoud Abd El-Gelil, et al.
Published: (2012-01-01)

Successive Matrix Squaring Algorithm for Computing the Generalized Inverse AT,S(2)
by: Xiaoji Liu, et al.
Published: (2012-01-01)

An adaptive least-squares algorithm for the elliptic Monge–Ampère equation
by: Caboussat, Alexandre, et al.
Published: (2023-10-01)

The Mellin transform of the square of the Riemann zeta-function in the critical strip
by: Mindaugas Stoncelis
Published: (2023-09-01)

Least Square Homotopy Perturbation Method for Ordinary Differential Equations
by: Mubashir Qayyum, et al.
Published: (2021-01-01)

One Kind Special Gauss Sums and their Mean Square Values
by: Jianhong Zhao, et al.
Published: (2021-01-01)

Polarization Stable Triband Thin Square-Shaped Metamaterial Absorber
by: M. L. S. N. S. Lakshmi, et al.
Published: (2023-01-01)

On the Existence of a Normal Trimagic Square of Order 16n
by: Can Hu, et al.
Published: (2023-01-01)

Intrinsic Square Function Characterizations of Variable Hardy–Lorentz Spaces
by: Khedoudj Saibi
Published: (2020-01-01)

Least Squares Estimation for α-Fractional Bridge with Discrete Observations
by: Guangjun Shen, et al.
Published: (2014-01-01)

Visualization Techniques of Differentially Heated Lid-Driven Square Cavity
by: Vekamulla Narayana
Published: (2020-01-01)

Searching for Minimum in Dependence of Squared Speed-of-Sound on Collision Energy
by: Fu-Hu Liu, et al.
Published: (2016-01-01)

Integral Least-Squares Inferences for Semiparametric Models with Functional Data
by: Limian Zhao, et al.
Published: (2014-01-01)

An Efficient Algorithm for Ill-Conditioned Separable Nonlinear Least Squares
by: Jiayan Wang, et al.
Published: (2021-01-01)

A Note on the Square Roots of a Class of Circulant Matrices
by: Ying Zhang, et al.
Published: (2013-01-01)