Is everyone with one face called a Milo?'Oh no,' Milo replied; 'some are called Henry or George or Robert or John or lots of other things.'How terribly confusing,' he cried. 'Everything here is called exactly what it is. The triangles are called triangles, the circles are called circles, and even the same numbers have the same name. Why, can you imagine what would happen if we named all the twos Henry or George or Robert or John or lots of other things? You'd have to say Robert plus John equals four, and if the four's name were Albert, things would be hopeless.'I never thought of it that way,' Milo admitted.'Then I suggest you begin at once,' admonished the Dodecahedron from his admonishing face, 'for here in Digitopolis everything is quite precise.

A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser.

Sacred knowledge of the cosmos seems to be hidden within our souls and is shown within our artwork and creative expressions.

The only things that can ever be universal, in a sense, are scaling things.

There is geometry in the humming of the strings, there is music in the spacing of the spheres.

[The golden proportion] is a scale of proportions which makes the bad difficult [to produce] and the good easy.

The geometer offers to the physicist a whole set of maps from which to choose. One map, perhaps, will fit the facts better than others, and then the geometry which provides that particular map will be the geometry most important for applied mathematics.

The brain does not own any direct copies of stuff in the world. There is no library of forms and ideas against which to compare the images of perception. Information is stored in a plastic way, allowing fantastic juxtapositions and leaps of imagination. Some chaos exists out there, and the brain seems to have more flexibility than classical physics in finding the order in it.

Speed is simply the rite that initiates us intoemptiness: a nostalgic desire for forms to revert to immobility, concealed beneath the very intensification of their mobility. Akin to the nostalgia for living forms that haunts geometry.

Our civil rights have no dependence on our religious opinions any more than our opinions in physics or geometry...