Titlebook: Gems of Geometry; John Barnes Book 2012Latest edition Springer-Verlag Berlin Heidelberg 2012 geometry.geometry and crystals.relativity.top

reaching

人充滿活力

顯赫的人

輕浮女

Frederick H. Silver,David L. Christiansentwo aspects of strange modern mathematics with a clear geometrical interpretation and the subsequent lecture looks at aspects of our understanding of the physical universe as modified by Einstein’s theories of relativity.

斷斷續(xù)續(xù)

hauteur

sundowning

Biologically Derived Collagen MembranesTHE PREVIOUS LECTURE described the regular figures in two and three dimensions. We now consider the regular figures in four dimensions and how we can get a glimpse of them by analogy with how a person in Flatland might get some appreciation of figures in three dimensions.

transplantation

現(xiàn)實

The Fourth Dimension,THE PREVIOUS LECTURE described the regular figures in two and three dimensions. We now consider the regular figures in four dimensions and how we can get a glimpse of them by analogy with how a person in Flatland might get some appreciation of figures in three dimensions.

MILK

Harmony of the Spheres,IN THE LECTURE on Bubbles we saw how the centres of bubbles, the centres of curvature of dividing films, and points on tangents formed various harmonic ranges. In this lecture we will start by looking at some other pretty properties of circles and spheres. But first a brief explanation of the title of this lecture.