Symmetrical Ambigrams

energyth
Rotational — These words read the same when inverted or (rotated 180 degrees).
waterfallsth
Bilateral/Mirror Image — These words read the same when viewed from behind (if printed on a transparent surface) or seen in a mirror.
orientationth
Chain (Rotational) — These ambigrams cannot exist as one word alone, but depend on being linked to infinite repetitions of the word. They are created by dividing the word into different parts and designing each part as a rotation. They are best displayed in a circle or a spiral configuration.
futureth
Chain (Bilateral) — These have the same linking properties as rotational chains, but read the same in a mirror, or from behind.
greycherieth
Totems — In these ambigrams, the words read vertically, and have mirror-image symmetry. My rorschach-style paintings fall into this category.

Assymetrical Ambigrams

truefalseth
Symbiotograms — These ambigrams depict two words whose meanings are in complementary opposition — one viewed from each of two vantage points. They can be either rotational or bi-lateral.
jamesjoyceth
Figure/Ground Relationships — The negative spaces within the letterforms also read as letters. These are similar to the familiar illusion of the two profiles and the chalice. See Figure/Ground paintings.
types_teach-learn
Oscillations — These words are designed to read as either of two words, depending on a (voluntary?) perception shift (teach/learn).