- the Petersen graph and the sporadic regular polytopes,
- Steiner systems and the Mathieu groups
- the quaternions and octonions
- the projective and hyperbolic complex spaces
- the projective and hyperbolic quaternionic spaces
- the projective and hyperbolic octonionic planes,
- Moufang loops and Moufang projective planes,
- the exceptional Jordan algebra,
- the exceptional complex semisimple Lie groups,
- the densely packed lattices in dimensions 8 and 24,
- the Monster finite simple group, and the other Y-groups

John McKay | Corinne Manogue | John R. Parker | Ian Porteous | Jorg Schray | Richard Schwartz | Chris Simmons | Neil Sloane