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The circle through the cusp of the arbelos and the tangent points of the first Pappus circle, which is congruent to the two Archimedes' circles. If AB=r and AC=1, then the ...

A polyhex consisting of hexagons arranged along a line.

A polyiamond consisting of equilateral triangles arranged along a line.

A man of Seville is shaved by the Barber of Seville iff the man does not shave himself. Does the barber shave himself? This pseudoparadox was proposed by Bertrand Russell.

All curves of constant width of width w have the same perimeter piw.

The triangle center with triangle center function alpha=A.

When working over a collection of fields, the base field is the intersection of the fields in the collection, i.e., the field contained in all other fields.

The space B of a fiber bundle given by the map f:E->B, where E is the total space of the fiber bundle.

A basepoint is the beginning and ending point of a loop. The fundamental group of a topological space is always with respect to a particular choice of basepoint.

The set of points in the space of system variables such that initial conditions chosen in this set dynamically evolve to a particular attractor.