Magic state 93, carbon nanotubes, and the hexagonal tortoise problem.
Also known as Jisuguimundo, the Hexagonal Tortoise Problem is a numerical puzzle first published in the GuSuRyak by medieval Korean scholar and prime minister Suk-Jung Choi in the 17th century. It is somewhat similar to that of a magic square or hexagon. And not unlike magic stars, the main difference is that the magic sum is calculated at the nodes versus the cells. 93 is a hidden variable and thus a magic state. The numbers are typically consecutive integers from 1 to n, where n is the number of vertices distributed to compose hexagons in a beehive arrangement, making the sum of the numbers of each hexagon the same. Like many combinatorial problems, it is computationally hard as there was no known algorithm to generate solutions for any arbitrary HTP. The term “tortoise” comes from the fact that the overall shape of the graph resembles the theca (or shell) of a turtle. This shows a particular solution of a 30-node HTP.
THE ELEPHANT AND THE TORTOISE
The Absolute and the Conditioned together make The One Absolute.
The Second, who is the Fourth, the Demiurge, whom all nations of Men call The First, is a lie grafted upon a lie, a lie multiplied by a lie.
Fourfold is He, the Elephant upon whom the Universe is poised: but the carapace of the Tortoise supports and covers all.
This Tortoise is sixfold, the Holy Hexagram.
These six and four are ten, 10, the One manifested that returns into the Naught unmanifest.
The All-Mighty, the All-Ruler, the All-Knower, the All-Father, adored by all men and by me abhorred, be thou accursèd, be thou abolished, be thou annihilated, Amen!