Lagerungen

<p>The publication of the first edition of <i>Lagerungen in der Ebene, auf der Kugel und im Raum</i> in 1953 marked the birth of discrete geometry. Since then, the book has had a profound and lasting influence on the development of the field. It included many open problems and conjectures, often accompanied by suggestions for their resolution. A good number of new results were surveyed by László Fejes Tóth in his <i>Notes</i> to the 2nd edition.</p>The present version of <i>Lagerungen </i>makes this classic monograph available in English for the first time, with updated <i>Notes,</i> completed by extensive surveys of the state of the art. More precisely, this book consists of:<p></p><ol> <li>a corrected English translation of the original <i>Lagerungen,</i></li><li>the revised and updated <i>Notes</i> on the original text, </li><li>eight self-contained chapters surveying additional topics in detail.</li> </ol><p> </p><p>The English edition provides a comprehensive update to an enduring classic. Combining the lucid exposition of the original text with extensive new material, it will be a valuable resource for researchers in discrete geometry for decades to come.</p><br>