Number, Paths, & Sigils
Arithmology relates the emergence of patterns in numbers to the emergence of patterns in existence, making number a fundamental tool for the generation of meaning. In the system of the CovN the counting numbers are core to the structure of its theories and metaphors.
A key break with other arithmological systems is to reject the base10 counting system we are familiar with. The patterns within number exist independent of the base. Indeed, the base of the number system can be distracting from spotting the deeper patterns. For example, eleven, 11, is not meaningfully related to 2 even though it is the sum 1+1. This common pattern of summing the digits used in numerology is mathematical gibberish.
Some mathematically interesting properties of eleven is that it is a prime number following the product of 2 and 5. It is next prime number after 7 and a member of the prime pair of eleven and thirteen.
A numerical place system and base is obviously useful for representing large numbers, but we find more utility to meditate on the meanings of smaller numbers by use of glyphs constructed in a manner that reflects the nature of the number. CovN uses two systems of numeric sigils. One set is based on the factorization of the number and the other is a binary representation. The first is used for the number in itself and the second is to emphasize the number as sequence. The sigils stop at 31, though this is somewhat, though not entirely, arbitrary. It corresponds roughly to the number of letters and sounds represented in alphabets and days in a lunar cycle. It also allows the sigils to be useful without being overwhelming while the sigils themselves remain simple enough to read and write.
A table of the numbers and their associations:

Sigils of the spheres
The twelve spheres are given sigils that are combinations of the binary sequential sigils for the 0..11 combined with the factor sigils for the first twelve prime numbers 1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31. The first sigil is given the sequence zero and prime number one because these are the identity functions of addition and multiplication, that is adding zero or multiplying by one leave a value unchanged.
Chaos  0⋮1  nĕshhĭn
Existence emerges spontaneously and without reason from Void. Existence requires no reason. As the Void has no quality whatsoever it is in no way restricted making it the root generative force. This is the fundamental nature of existence. It is spontaneous and without purpose or design. All possibilities assert themselves into being at once, each becoming a “one”, a unity of existence unto itself while retaining nothing in itself.
