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Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem
 
A R Rajwade Panjab University, Chandigarh, India
A publication of Hindustan Book Agency
Convex Polyhedra with Regularity Conditions and Hilbert's Third Problem
Hardcover ISBN:  978-81-85931-28-9
Product Code:  HIN/8
List Price: $35.00
AMS Member Price: $28.00
Please note AMS points can not be used for this product
Convex Polyhedra with Regularity Conditions and Hilbert's Third Problem
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Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem
A R Rajwade Panjab University, Chandigarh, India
A publication of Hindustan Book Agency
Hardcover ISBN:  978-81-85931-28-9
Product Code:  HIN/8
List Price: $35.00
AMS Member Price: $28.00
Please note AMS points can not be used for this product
  • Book Details
     
     
    Hindustan Book Agency
    Volume: 82001; 120 pp
    MSC: Primary 13; 14;

    Since antiquity, people knew that there are only five regular solids, i.e. polyhedra whose all faces are regular polygons and all solid angles are also regular. These solids are, of course, the tetrahedron, the octahedron, the cube, the icosahedron, and the dodecahedron. Later, much attention was drawn to the question of how to describe polyhedra with other types of regularity conditions. The author puts together many facts known in this direction. He formulates four regularity conditions (two for faces and two for solid angles) and for any combination of their conditions lists all the corresponding polyhedra. In this way, he obtains such very interesting classes of solids as 13 semiregular solids, or 8 deltahedra, or 92 regularly faces polyhedra, etc. In later chapters the author presents some related topics of geometry of solids, like star polyhedra and plane tessellations. In the concluding chapter, a complete solution of the Hilbert 3rd problem is given.

    Supplied with many figures, the book can be easily read by anyone interested in this beautiful classical geometry.

    A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

    Readership

    Advanced undergraduates, graduate students, and research mathematicians interested in geometry.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 82001; 120 pp
MSC: Primary 13; 14;

Since antiquity, people knew that there are only five regular solids, i.e. polyhedra whose all faces are regular polygons and all solid angles are also regular. These solids are, of course, the tetrahedron, the octahedron, the cube, the icosahedron, and the dodecahedron. Later, much attention was drawn to the question of how to describe polyhedra with other types of regularity conditions. The author puts together many facts known in this direction. He formulates four regularity conditions (two for faces and two for solid angles) and for any combination of their conditions lists all the corresponding polyhedra. In this way, he obtains such very interesting classes of solids as 13 semiregular solids, or 8 deltahedra, or 92 regularly faces polyhedra, etc. In later chapters the author presents some related topics of geometry of solids, like star polyhedra and plane tessellations. In the concluding chapter, a complete solution of the Hilbert 3rd problem is given.

Supplied with many figures, the book can be easily read by anyone interested in this beautiful classical geometry.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

Readership

Advanced undergraduates, graduate students, and research mathematicians interested in geometry.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.