It takes the average reader 3 hours and 41 minutes to read Combinatorics of Train Tracks by R. C. Penner
Assuming a reading speed of 250 words per minute. Learn more
Measured geodesic laminations are a natural generalization of simple closed curves in surfaces, and they play a decisive role in various developments in two-and three-dimensional topology, geometry, and dynamical systems. This book presents a self-contained and comprehensive treatment of the rich combinatorial structure of the space of measured geodesic laminations in a fixed surface. Families of measured geodesic laminations are described by specifying a train track in the surface, and the space of measured geodesic laminations is analyzed by studying properties of train tracks in the...
Combinatorics of Train Tracks by R. C. Penner is 216 pages long, and a total of 55,296 words.
This makes it 73% the length of the average book. It also has 68% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 2 minutes to read Combinatorics of Train Tracks aloud.
Combinatorics of Train Tracks is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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