Isometrica: A Geometrical Introduction to Planar Crystallographic Groups
by George Baloglou
Number of pages: 473
Donald Crowe's 'repeated patterns', may certainly be viewed as one of the very first mathematical creations of humankind. They are recognized today as the poor relatives of the planar crystallographic groups. This book's goal is therefore the gradual unveiling of the structural and the mathematical that hides behind the visual and the artistic. A determined reader can read the entire book relying only on some high school mathematics.
Home page url
Download or read it online for free here:
by David Ramsay Hay - W. Blackwood and sons
From the table of contents: Nature of the science of aesthetics explained; Plane figures the bases of all forms; The isosceles triangle; Universal application of the composite ellipse in the arts of ornamental design; and more.
by Paul Yiu - Florida Atlantic University
We outline some interesting results with illustrations made by dynamic software. We center around the notions of reflection and isogonal conjugation, and introduce a number of interesting triangle centers, lines, conics, and a few cubic curves.
by A.H. McDougall - Copp, Clark
Contents: Theorems of Menelaus and Ceva; The Nine-Point Circle; Simpson's Line; Areas op Rectangles; Radical Axis; Medial Section; Miscellaneous Theorems; Similar and Similarly Situated Polygons; Harmonic Ranges and Pencils; etc.
by Parker Manning Henry - The MacMillan Company
Contents: The Foundations Of Four Dimensional Geometry; Points And Lines; Triangles; Planes; Convex Polygons; Tetrahedrons; Hyperplanes; Convex Pyramids And Pentahedroids; Space Of Four Dimensions; Hyperpyramids And Hypercones; etc.