This paper proposes a new interpretation of the dimensions of the sun and moon wheels in Anaximander's cosmology. While the traditional reconstruction proposed by Tannery and Diels posits six measures for three different wheels (sun, moon and stars), it will be argued here that Anaximander gave only two basic measurements, one for the moon's wheel (19 times bigger than the earth) and one for the sun's (28 times bigger). These two values can be accounted for by their connection to the lunar month – a graphic representation of the wheels which includes motion accurately reproduces the relative positions of the sun and moon; in fact they are the smallest pair of figures from which a twowheel model can be made that represents the month correctly. Anaximander derived his two parameters by attempting to incorporate basic observational data into a cosmic model.