The video discusses the importance of geometry in understanding the world around us, highlighting how geometric shapes and principles are integral to everyday life and various professions.

Explains the concepts of volume for various geometric solids, including prisms ... emphasizing the relationships between these shapes. For example, the volume of a pyramid is one-third that ...

A TEXT-BOOK for students who have already finished the straight line and circle: its contents are about equally divided between the conic sections and the geometry of three dimensions, finishing ...

To Comin, the Berry phase is “one of the most fascinating concepts in the quantum theory of solids.” Though long invisible to experimenters, the Berry phase can have bizarre physical consequences.

Regular polygons, by definition, are two-dimensional shapes ... Greek geometry that is the founding text of axiomatic mathematics, culminates with the construction of the five Platonic solids ...

Platonic solids are generically termed equilateral ... Schein's work may prod mathematicians to find other interesting geometric shapes, now that equilateral convex polyhedra have a new family.

Platonic solids, the first class of such shapes ... Schein’s work will invoke mathematicians to find other interesting geometric shapes, now that equilateral convex polyhedra may have been ...