Compass Geometry: The Vade-Mecum: A reference manual for fundamental constructions, sacred geometry, and the golden ratio - Softcover

Inhaltsangabe

New International Edition: Fully updated with standard US geometric notations.

Master the compass, understand the circle, and construct with precision.

Geometry with a Compass: The Vade Mecum is a 216-page reference book devoted to geometric constructions with a compass, including circle construction and division, polygons, proportions, and complex geometric figures.
Whether you are passionate about geometric drawing, an artist, teacher, student, or simply curious about how regular geometric forms are constructed, this book takes you from fundamental constructions to more advanced and intricate designs.

From Circle Construction to Complex Geometric Figures

You will learn how to:

• Master fundamental compass constructions, including perpendicular bisectors, angle bisectors, tangents, and other essential constructions;
• Understand and construct the main divisions of the circle, along with the constructions required for various regular polygons;
• Construct figures based on proportions and the Golden Ratio, including the Golden Triangle and Kepler’s Rectangle;
• Draw rosettes, stars, Fibonacci spirals, and other geometric compositions;
• Explore fractals, including the Koch snowflake;
• Discover geometric tilings, Archimedean tilings, star polygons, the Penrose tiling, and the Einstein tile;
• Explore rep-tiles and self-replicating constructions, including the Sphinx tile.

A Method for Understanding, Not Just Reproducing

Each construction is presented progressively, allowing you to understand the logic behind the construction and reproduce it using your own compass.
The goal is not simply to provide a catalog of designs, but to show how a few fundamental geometric principles can be used to construct a wide variety of forms: divided circles, polygons, rosettes, stars, spirals, tilings, and complex geometric figures.
This book serves as a practical vade mecum for compass geometry—a reference to consult when learning a construction, reviewing a method, or exploring the relationships between circles, proportions, and geometric forms.

A Different Way to Explore Geometry

From elementary constructions to more complex geometric designs, Geometry with a Compass: The Vade Mecum invites you to move beyond intuitive drawing and develop a deeper understanding of geometric construction.

Take your compass, choose a construction, and start exploring geometry through drawing.

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