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Title: Informal, applications-driven introduction
Review: Part 1 "The Topology of Line-structures" very unsystematically runs through lots of cute little applications: mazes (including Shakespeare quotations), crocheting and knitting ("knitting is really two-dimensional crocheting"), topology of sewing machines, enumeration of chemical compounds, topology of genealogical trees with cousin marriages (illustrated by the family tree of Don Carlos of Spain), solution of wolf-goat-cabbage problems, etc. Part 2 "The Topology of Surfaces" is largely about the Euler characteristic and its applications (regular polyhedra, classification of surfaces, map colouring). We also study the topology of the projective plane and Riemann surfaces (w=az+b, w=1/z, w=z^2, w=z+1/z, w^2=z^4-1).
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