A pseudogon, also called a hyperbolic apeirogon, is a polygon with infinitely many edges that is circumscribed by a hypercycle. This is a distinct object from an apeirogon embedded in a hyperbolic space that is a tiling of a horocycle and pertains a different symmetry.
The Schläfli symbol of a pseudogon is where is a pure imaginary number that describes the separation distance between consecutive reflective lines of symmetry; this distance is equal to . The general pseudogon's Schläfli symbol is commonly written in the form where is an arbitrary positive real constant that describes this separation distance. These pseudogonal lines of symmetry, unlike the ones in an apeirogon, are not limiting parallel lines and instead are diverging parallel lines.
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Zerogon | Monogon | Digon | Triangle | Square | Pentagon | Pentagram | Hexagon | Heptagon | Heptagram | Great heptagram | Octagon | Octagram | Enneagon | Enneagram | Great enneagram | Decagon | Decagram | Hendecagon | Small hendecagram | Hendecagram | Great hendecagram | Grand hendecagram | Dodecagon | Dodecagram | Tridecagon | Small tridecagram | Tridecagram | Medial tridecagram | Great tridecagram | Grand tridecagram | Tetradecagon | Tetradecagram | Great tetradecagram | Pentadecagon | Small pentadecagram | Pentadecagram | Great pentadecagram | Hexadecagon | Small hexadecagram | Hexadecagram | Great hexadecagram | Heptadecagon | Tiny heptadecagram | Small heptadecagram | Heptadecagram | Medial heptadecagram | Great heptadecagram | Giant heptadecagram | Grand heptadecagram | ... | Apeirogon | Failed star polygon (-gon) | Pseudogon (-gon) |