This book is full of fun and beautiful things you can make with the
System geometry construction set. It is a hands-on guide
to the geometry of three-dimensional space.
School programs looking for geometry enrichment
Primarily high school students and teachers
Also middle school (much of the text uses no trigonometry)
College math enrichment and courses for future math teachers
Math / geometry / geodesic dome aficionados
Science museums and educational toy stores which sell Zome sets
Angles, Polygons, Polyhedra
Icosahedron and Dodecahedron
Lengths and Golden Ratio
Cubes in a Dodecahedron
Strut Lengths and Angles
The Fourth Dimension
Proof of Euler's Theorem and Descartes' Theorem
Using a series of hands-on construction activities, the book presents
ideas in the context of the Zome set. Many of the topics are
related to standard geometry curricula, e.g., similarity and
symmetry, relations between lengths and angles, (x,y,z) coordinates,
polyhedra. These might be used in the classroom as
reinforcement activities. Other topics go beyond most curricula
are suitable for enrichment or project ideas, e.g., fractals, duality,
space structures, geodesic domes, and the fourth dimension.
Topics are introduced with engaging challenges to invite
Three-dimensional constructions alternate with careful analysis and
of the models. Each chapter ends with a list of ideas for further
exploration, suitable for projects.
The reader looking simply to construct interesting models and gain
from them may jump into the sections in any order, perhaps thumbing
and being enticed by a section's pictures. However, the
discussion which accompanies the constructions follow a careful
each section building on previous material.
Green struts: The original Zome
sets contained only blue, red, and yellow struts. Now they make
long-awaited green struts as well, and the book includes many
for them. However, it is designed so the material which requires
green struts is optional, so the book can be used by people with either
new or old Zome kits. The book uses three lengths of green struts
which are found in Zome's Advaned Mathematics Creator Kit.
also sell a Green Lines Starter Kit which contains those three
lengths plus green struts in six other lengths not used in the book.
It is available directly from the publisher;
Zome Geometry and Zome kits can be ordered directly from Zometool
Updates, Additions, and Corrections: