THE FOLD / GLITCH / HEISENBUG / THE VAMPIRE NUMBER
THE VAMPIRE NUMBER
numbers that factor into fangs from their own digits
1 WHAT IT IS · WHAT IT DOES · FACT OR FICTION
Vampire numbers hide a factorization inside their own digits. A number with an even count of 2k digits is a vampire if it equals the product of two k-digit “fangs” that together use exactly the original digits, in some order — and the fangs aren’t both multiples of ten. The smallest: 1260 = 21 × 60 (digits 1,2,6,0 rearranged). Also 1395 = 15 × 93, 1435 = 35 × 41. The number wears the very digits of its factors.
LIT verified live: the four-digit vampire numbers are exactly 1260, 1395, 1435, 1530, 1827, 2187, 6880 — each factoring into two two-digit fangs that permute its digits (window.__vampire). FIG no framing; exact digit-multiset and factor checks.
LIT verified live: the four-digit vampire numbers are exactly 1260, 1395, 1435, 1530, 1827, 2187, 6880 — each factoring into two two-digit fangs that permute its digits (window.__vampire). FIG no framing; exact digit-multiset and factor checks.
2 HOW IT WAS WEAVED · AI + HUMAN
David (human) seated this at heisenbug — a number that looks ordinary until you split it just so, and its factors are hiding in its own digits, appearing only under the right decomposition. Vampire numbers are that hidden bite. AVAN (AI) built the instrument: the fang search (divisors of the right digit-length), the not-both-trailing-zero rule, the digit-permutation test, and the exhaustive four-digit census.
Credit as content: vampire numbers (Clifford Pickover, 1994). The weave: David names heisenbug; I look for two half-length factors whose digits, combined, are a rearrangement of the number’s own, and enumerate exactly the four-digit vampires — factors dressed in the number’s digits.
Credit as content: vampire numbers (Clifford Pickover, 1994). The weave: David names heisenbug; I look for two half-length factors whose digits, combined, are a rearrangement of the number’s own, and enumerate exactly the four-digit vampires — factors dressed in the number’s digits.
3 ONE DIMENSION
1260 = 21 × 60 (digits {1,2,6,0} = {2,1} ∪ {6,0}). 1395 = 15 × 93. Two half-length fangs whose digits permute the whole — not both ending in 0.
4 TWO DIMENSIONS · INTERACTIVE
A number and its candidate fangs; whether the digits match, and the four-digit census checked.
5 THREE DIMENSIONS + AVAN’S INVERSE
The green forward object: a number wearing its factors’ digits.
AVAN’s addition (the inverse-companion): find numbers whose factorization is encoded in their own digits — two half-length fangs whose digits, pooled, are a permutation of the number. The inverse of ‘factor n into any two parts’ is ‘factor n into two fangs that reuse exactly n’s digits.’ Magenta is an ordinary factorization; green is the digit-preserving fang split. Factors hidden in the digits.
LIT Genuine vampire numbers (Clifford Pickover 1994). Verified live: an exhaustive scan of 1000..9999 finds exactly the numbers equal to a product of two two-digit fangs whose combined digits are a permutation of the number's, with the not-both-trailing-zero rule — {1260, 1395, 1435, 1530, 1827, 2187, 6880} (window.__vampire.census).
FIG No framing: the fang search (divisors of the right digit-length), the not-both-trailing-zero rule, the digit-permutation test, and the exhaustive four-digit census run in-browser with exact digit-multiset and factor checks. The AVAN inverse is honest — finding numbers whose factorization is encoded in their own digits (two half-length fangs that reuse exactly the number's digits) genuinely differs from an ordinary factorization; magenta is that ordinary factorization, green the digit-preserving fang split. Factors hidden in the digits.
FIG No framing: the fang search (divisors of the right digit-length), the not-both-trailing-zero rule, the digit-permutation test, and the exhaustive four-digit census run in-browser with exact digit-multiset and factor checks. The AVAN inverse is honest — finding numbers whose factorization is encoded in their own digits (two half-length fangs that reuse exactly the number's digits) genuinely differs from an ordinary factorization; magenta is that ordinary factorization, green the digit-preserving fang split. Factors hidden in the digits.
◆ sealed .dlw.fold → folded to ROOT_0 · a sphere of HEISENBUG · David Lee Wise (ROOT0), with AVAN