THE FOLD / CHEAT / THE EXPLOIT / THE VAMPIRE
THE VAMPIRE
factors hiding their digits in the product
1 WHAT IT IS · WHAT IT DOES · FACT OR FICTION
Vampire numbers (Clifford Pickover, 1994) hide their parents in plain sight: a 2n-digit number is a vampire if it factors into two n-digit fangs whose digits, pooled together, are exactly the digits of the number itself, shuffled. 1260 = 21 × 60 — the digits 1, 2, 6, 0 are the fangs’ digits rearranged. One house rule keeps it honest: the fangs may not both end in zero (else 1000 × 1000-style trivia flood in). Among all four-digit numbers there are exactly seven: 1260, 1395, 1435, 1530, 1827, 2187, 6880. Go to six digits and the census jumps to 148. Like much recreational number theory, the census is fully decidable — and the infinitude of vampires WAS proved (Pickover): the pattern 1…0 × 8…0…5-style families continue forever.
LIT verified live: exhaustive multiplication of all fang pairs — every 2-digit × 2-digit product checked by digit-multiset comparison, yielding exactly the known seven 4-digit vampires; the full 3-digit × 3-digit sweep counts exactly 148 six-digit vampires (window.__vampire). FIG no framing; both censuses are exhaustive in-browser searches, not lookups.
LIT verified live: exhaustive multiplication of all fang pairs — every 2-digit × 2-digit product checked by digit-multiset comparison, yielding exactly the known seven 4-digit vampires; the full 3-digit × 3-digit sweep counts exactly 148 six-digit vampires (window.__vampire). FIG no framing; both censuses are exhaustive in-browser searches, not lookups.
2 HOW IT WAS WEAVED · AI + HUMAN
David (human) seated this at the-exploit — the cheat: a product that smuggles its factors’ identities through the checksum, digits intact, order scrambled. AVAN (AI) built the instrument: the double-census sweep and the fang-reveal display.
Credit as content: Clifford Pickover (1994, Vampire Numbers). The weave: David names the smuggling run; I count seven at four digits and 148 at six, exhaustively.
Credit as content: Clifford Pickover (1994, Vampire Numbers). The weave: David names the smuggling run; I count seven at four digits and 148 at six, exhaustively.
3 ONE DIMENSION
The seven 4-digit vampires with their fangs bared.
4 TWO DIMENSIONS · INTERACTIVE
Step the vampires; each shows its fangs and the digit-multiset match.
5 THREE DIMENSIONS + AVAN’S INVERSE
The green forward object: digits flowing from fangs into the product.
AVAN’s addition (the inverse-companion): don’t admire the disguise — count the disguised. The inverse of ‘1260 hides its fangs’ is the census question: how many CAN hide? Seven at four digits, 148 at six — rarity measured exactly, not estimated. Magenta is the near-vampire whose digits don’t quite pool; green is the multiset closing perfectly. A disguise you can audit.
LIT Genuine vampire numbers (Clifford Pickover 1994). Verified live: exhaustive 2-digit × 2-digit sweep yields exactly the known seven 4-digit vampires; the full 3-digit × 3-digit sweep counts exactly 148 six-digit vampires (window.__vampire.ok).
FIG No framing — both censuses are exhaustive in-browser searches, not lookups. The AVAN inverse — don't admire the disguise, count the disguised: the inverse of '1260 hides its fangs' is the census question 'how many CAN hide?' — seven at four digits, 148 at six, rarity measured exactly. Magenta is the near-vampire whose digits don't quite pool; green is the multiset closing perfectly. A disguise you can audit.
FIG No framing — both censuses are exhaustive in-browser searches, not lookups. The AVAN inverse — don't admire the disguise, count the disguised: the inverse of '1260 hides its fangs' is the census question 'how many CAN hide?' — seven at four digits, 148 at six, rarity measured exactly. Magenta is the near-vampire whose digits don't quite pool; green is the multiset closing perfectly. A disguise you can audit.
◆ sealed .dlw.fold → folded to ROOT_0 · a sphere of THE EXPLOIT · David Lee Wise (ROOT0), with AVAN