Polyform Oddities

That is another of your odd notions, said the Prefect, who had the fashion of calling everything odd that was beyond his comprehension, and thus lived amid an absolute legion of oddities.

—Poe, The Purloined Letter

A polyform oddity is a geometric figure with binary symmetry or better, formed by joining an odd number of congruent polyforms. Oddities are also known as Sillke figures, after Torsten Sillke, who first studied them systematically.

This page shows minimal known oddities and similar constructions for various polyforms with various symmetries.

[Polyominoes and Polykings →] [Polyiamonds and Polymings →] [Polyhexes, Polyhings, and Polybrexes →] [Polypents] [Polyhepts] [Polyocts] [Polyenns] [Polydecs] [Polyhendecs] [Polydodecs] [Polyaboloes/Polytans] [Polycairos] [Polykites] [Polygems] [Polygolds] [Polykagomes] [Polybirds] [Polycubes →] [Polyquoins]

Polypents

	Tetrapent Oddities. Oddities for tetrapents.
	Tetrapent Pair Oddities. Oddities for pairs of tetrapents.
	Tetrapent Triplet Oddities. Oddities for sets of three tetrapents.
	Pentapent Oddities. Oddities for pentapents.

	Polyabolo Oddities. Oddities for polyaboloes.
	Diabolo-Triabolo Pair Oddities. Full-symmetry oddities for a diabolo and a triabolo.
	Triabolo-Tetrabolo Pair Oddities. Full-symmetry oddities for a triabolo and a tetrabolo.
	Diabolo-Pentabolo Pair Oddities. Full-symmetry oddities for a diabolo and a pentabolo.