Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Decomposition of Figures Into Smaller Parts

The Decomposition of Figures Into Smaller Parts

Boltyanskii, Vladimir Grigor'evich
Gokhberg, Izrail' Tsudikovich

Paperback

Series: Popular Lectures in Mathematics

Geometry

ISBN10: 0226063577
ISBN13: 9780226063577
Publisher: Univ Of Chicago Pr
Published: Apr 15 1980
Pages: 80
Weight: 0.20
Height: 0.25 Width: 6.05 Depth: 9.02
Language: English
In contrast to the vast literature on Euclidean geometry as a whole, little has been published on the relatively recent developments in the field of combinatorial geometry. Boltyanskii and Gohberg's book investigates this area, which has undergone particularly rapid growth in the last thirty years. By restricting themselves to two dimensions, the authors make the book uniquely accessible to interested high school students while maintaining a high level of rigor. They discuss a variety of problems on figures of constant width, convex figures, coverings, and illumination. The book offers a thorough exposition of the problem of cutting figures into smaller pieces. The central theorem gives the minimum number of pieces into which a figure can be divided so that all the pieces are of smaller diameter than the original figure. This theorem, which serves as a basis for the rest of the material, is proved for both the Euclidean plane and Minkowski's plane.

Also in

Geometry

View All