n the tyrant is removed from true pleasure by the space of a number
which is three times three?

Manifestly.

The shadow then of tyrannical pleasure determined by the number of
length will be a plane figure.

Certainly.

And if you raise the power and make the plane a solid, there is no
difficulty in seeing how vast is the interval by which the tyrant is
parted from the king.

Yes; the arithmetician will easily do the sum.

Or if some person begins at the other end and measures the interval by
which the king is parted from the tyrant in truth of pleasure, he will
find him, when the multiplication is completed, living 729 times more
pleasantly, and the tyrant more painfully by this same interval.

What a wonderful calculation! And how enormous is the distance which
separates the just from the unjust in regard to pleasure and pain!

Yet a true calculation, I said, and a number which nearly concerns human
life, if human beings are concerned with days and nights and months and
years. (729 NEARLY equals the number of days and nights in the year.)

Yes, he said, human life is certainly concerned with them.

Then if the good and just man be thus superior in pleasure to the evil
and unjust, his superiority will be infinitely greater in propriety of
life and in beauty and virtue?

Immeasurably greater.

Well, I said, and now having arrived at this stage of the argument, we
may revert to the words which brought us hither: Was not some one saying
that injustice was a gain to the perfectly unjust who was reputed to be
just?

Yes, that was said.

Now then, having determined the power and quality of justice and
injustice, let us have a little conversation with him.

What shall we say to him?

Let us make an image of the soul, that he may have his own words
presented before his eyes.

Of what sort?

An ideal image of the soul, like the composite creations of ancient
mythology, such as the Chimera or Scylla or Cerberus, and there are many
others in which two or more different natures are said to grow into one.

There are said of have been such unions.

Then do you now model the form of a multitudinous, many-headed monster,
having a ring of heads of all manner of beasts, tame and wild, which he
is able to generate and metamorphose at will.

You suppose marvellous powers in the artist; but, as language is more
pliable than wax or any similar substance, let there be such a model as
you propose.

Suppose now t