Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2015
Abstract
In this book for the first time the authors study the new type of Euclid squares in various planes like real plane, complex plane, dual number plane, special dual like number plane and special quasi dual number plane. There are six such planes and they behave distinctly. From the study it is revealed that each type of squares behave in a different way depending on the plane. We define several types of algebraic structures on them. Such study is new, innovative and interesting. However for some types of squares; one is not in a position to define product. Further under addition these squares from a group. One of the benefits is addition of point squares to any square of type I and II is an easy translation of the square without affecting the area or length of the squares. There are over 150 graphs which makes the book more understandable.
Publisher
EuropaNova ASBL
ISSN
978-1-59973-334-0
Language (ISO)
English
Keywords
squares in neutrosophic plane, neutrosophic logic, square
Recommended Citation
Smarandache, Florentin; W.B. Vasantha Kandasamy; and K. Ilanthenral. "Euclid Squares on Infinite Planes." (2015). https://digitalrepository.unm.edu/math_fsp/297
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Included in
Algebraic Geometry Commons, Geometry and Topology Commons, Logic and Foundations Commons, Other Mathematics Commons
