scholarly journals Translative Packing of Unit Squares into Squares

2012 ◽  
Vol 2012 ◽  
pp. 1-7
Author(s):  
Janusz Januszewski
Keyword(s):  
Translative Packing

scholarly journals Translative Packing of Unit Squares Into Equilateral Triangles Some New Results On Information Transmission Over Noisy Channels

2015 ◽  
Vol 48 (3) ◽  
Author(s):  
Janusz Januszewski
Keyword(s):  
Information Transmission ◽  
Equilateral Triangle ◽  
Side Length ◽  
Noisy Channels ◽  
Equilateral Triangles ◽  
Translative Packing

AbstractEvery collection of n (arbitrary-oriented) unit squares can be packed translatively into any equilateral triangle of side length 2:3755· √n.

Optimal translative packing of homothetic triangles

2009 ◽  
Vol 46 (2) ◽  
pp. 185-203 ◽  
Author(s):  
Janusz Januszewski
Keyword(s):  
Translative Packing

Any sequence of triangles homothetic to a fixed triangle T whose total area does not exceed one-half of the area of T can be packed translatively in T .

Translative packing of a convex body by sequences of its positive homothetic copies

2007 ◽  
Vol 117 (4) ◽  
pp. 349-360 ◽  
Author(s):  
J. Januszewski
Keyword(s):  
Convex Body ◽  
Translative Packing ◽  
Homothetic Copies

TRANSLATIVE PACKING TWO SQUARES IN THE UNIT SQUARE

2003 ◽  
Vol 36 (3) ◽  
pp. 757-762 ◽  
Author(s):  
Janusz Januszewski
Keyword(s):  
Unit Square ◽  
Translative Packing

scholarly journals Translative packing of a square with sequences of squares

2010 ◽  
Vol 121 (2) ◽  
pp. 273-280
Author(s):  
Janusz Januszewski
Keyword(s):  
Translative Packing

scholarly journals On the translative packing densities of tetrahedra and cuboctahedra

2014 ◽  
Vol 260 ◽  
pp. 130-190 ◽  
Author(s):  
Chuanming Zong
Keyword(s):  
Translative Packing ◽  
Packing Densities

A note on translative packing a triangle by sequences of its homothetic copies

2006 ◽  
Vol 52 (2) ◽  
pp. 27-30 ◽  
Author(s):  
Janusz Januszewski
Keyword(s):  
Translative Packing ◽  
Homothetic Copies
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