( continuing with this method, beginning with the worlds composed of hmr continents, there are a
hundred kotis of yvorlds with four continents and a hundred kotis of great oceans; there are the hundred
kotis of ('ukravalas and of Maha Cakravala', the hundred kotis of Sumerus, kings of mountains; the
hundred kotis of realms of the Four Great Kịngs* the hundred kotis of realms of the Thữty-three gods\
the hundred kotis of reaỉms of the Yama gods', the hundred kotis of Tusita icalms; the hundred kotis of
Nirmanarata realms; and the hundred kotis of Parinữmita vasavartin realms. There are the hundred kotis
of Btahma realms; the hundred kotis of Brahmapurohita realms; the hundred kotis of
Brahmaparsadya realms; the hundred kotis of Mahabrahma realms; the hundred kotis of
Parittabha realms; the hundred kotis of Apramanabha realms; the hundred kotis of Abhasvarana
realms; the hundred kotis of Parittasubha realms; the hundred kotis of Apramanasubha realms; the
hundred kotis of Subhakrtsna realms; the hundred kotis of Anabhraka realms; the hundred kotis
of Punyaprasava realms; the hundred kotis of Brhatphala realms; the hundred kotis of
Asangisattva realms; the hundred kotis of Abtha realms; the hundred kotis of Atapa realms; the
hundred kotis of Sudrsa realms; the hundred kotis of Sudarsana realms; and the hundred kotis of
Akanisĩha realms. [3000 kotis of worlds in total, maybe 3*10
A
10]
“All together these are said to be the whole of the three thousand great thousands of worlds, spread
out and developed. All the calculations of the essence of the yojana includes the many hundreds of
yojanas of subtle particles in this mass of three thousand great thousands of vvoríds, the many thousands
of yojanas, the many kotis of yojanas, and the many niyutas of yojanas.
And how many subtle particles are there? It passes beyond calculation, it is incalcuìable. There are an
incalculable number of subtle atoms in the mass of the three thousand great thousands of worlds.”
§4. Admiration of this mathematical lesson
While this lesson on enumeration was being taught by the Bodhisattva, the great mathematician
Arjuna and the multitude of Sakyas listened with pleasure, joy, and happiness. Everyone there was íĩlled
with great admiration, and each of them presented the Bodhisattva with garments and omaments. The
great mathematician Arjuna then uttered these tvvo verses:
“The hundreds of kotis and the aỵutas, the nayutas and the niyutas, the procession of the kankaras, the
vivahas, and the aksobhyas as well: this supreme knowledge I do not have - he is above me.
One with such knowledge of numbers is incomparable!
“And doubtless, o Sakyas, he could calculate the dust of the three thousand worlds, as well as all the
herbs, the woods, the medicinal pỉants, and even the drops of water, in the time it takes to say ‘Hum’.
How could these íive hundred Sakyas do anything more wonderful?”
Then gods and men by the hundreds of thousands uttered cries of admiration and joy.
And the devaputras in the expanse of the sky recited this verse:
