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These two look interesting books for budding geometers. 

 

Drawing Geometry: A Primer of Basic Forms for Artists, Designers and Architects

 

Geometry is both elegantly simple and infinitely profound. Many professionals find they need to be able to draw geometric shapes accurately, and this unique book shows them how. 


It provides step-by-step instructions for constructing two-dimensional geometric shapes, which can be readily followed by a beginner, or used as an invaluable source book by students and professionals.

 

Making Geometry: Exploring Three-Dimensional Forms

 

Following on from his successful Drawing Geometry, Jon Allen explores the creation of the many-sided three-dimensional forms known as the Platonic and Archimedean solids. Based on patterns of equally spaced points on a sphere, these polyhedra have been the fundamentals of geometric exploration for millennia. 

 

Many professionals find they need to be able to build three-dimensional shapes accurately, and understand the principles behind them. This unique book shows them how to make models of all the Platonic and Archimedean solids, as well as several other polyhedra and stellated forms. It provides step-by-step instructions for constructing the three-dimensional forms, as well as showing how to draw out accurately the geometry of the paperfold nets. 

Beginners and experienced artists and designers alike will find this book a source of practical guidance, as well as delight and inspiration which will amply repay the careful attention needed to construct the models.

 

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Pariah could use them as chemistry text, as molecules form many of the Platonic and Archimedean solids. Plus it is a way to emphasis that math is practical (and well as slipping in a potentially useful skill) 

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Note that the interactions of orbits of bodies makes for perturbations and slow changes to those orbits. The Solar System has been around for 4.5 Gyr or so, but things are definitely not now where they started out. It isn't known, even, if the system is dynamically stable for another 5 Gyr.

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Bazza, there are lots of resonant effects in orbital mechanics, and the Earth-Venus system is one such. So while I hadn't seen that graphical presentation before, I kind of knew some of the information that went into making it.

 

OTOH, those resonant conditions can change. They tend to be stable for extended periods of time, and then undergo a "sudden" large change. This is the way of chaotic systems, in the modern mathematical meaning of chaos.

 

Lots of studies of the dynamical evolution of the Solar System have been done, though I don't know of a layman-level book I can direct you towards on this topic.

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