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Art Gallery Visibility Theorems: An Introduction

© Joseph O'Rourke 2026

Cover

Cambridge University Press

Draft: 177 pages, 121 figures, 52 exercises. Publication: 2027.

See also original 1987 book: Art Gallery Theorems and Algorithms (freely downloadable).
Guarding orthogonal polygon. n=34, [n/4] = 8.
Tokarsky polygon: x cannot see/illuminate y

Templates

Art Gallery Visibility Theorems

Fig, 3.3

Star-shaped polygon

Fig. 4.8

Contiguous lower bound

Fig. 5.1

Orthogonal polygon

Fig. 5.2

Orthogonal spiral

Fig. 7.8b

Brocard point

Fig. 8.3

Find 2-kernel

Fig. 8.9

Orthogonal spiral

Fig. 9.10

Find lightray x to y

Fig. 9.14

Orthogonal Tokarsky polygon