London, 1843. Ada Lovelace has just finished writing the world's first computer
program for Charles Babbage's mechanical calculator, the Analytical Engine. But Babbage
believes the machine is only fit for simple arithmetic. Ada knows it can do far more
— manipulate symbols, draw graphics, even compose music — and she must prove
it before the investors arrive and the funding is cut off.
Ada has locked her groundbreaking notes and the final code inside a prototype security
box in her study. She has left behind a trail of mathematical puzzles — built from
the very geometry of the Engine itself — so that only a true mathematician can
reach her work. Four clues guard four digits. Together they open the box.
Your mission: You are Ada's trusted assistants. You have exactly 8 minutes
to decipher her clues, collect the four code digits, unlock the security box, and
activate the Analytical Engine — before the investors knock on the door.
✦ ✦ ✦
Each clue is harder than the last. If you are truly stuck, Ada left hints —
but she will not simply hand you the answer.
Clue 1 — The Punched Card Coordinate
On Ada's desk lies a punched card — the same kind of woven card that
controls the Jacquard loom, and the very device Ada uses to feed instructions to the
Engine. Ada saw that the Engine, like the loom, "weaves algebraic patterns just as
the Jacquard loom weaves flowers and leaves." The card holds a grid of numbers, and
only one square matters.
The Puzzle
"Find your starting coordinate (x, y) by solving the system below.
Your first code digit is the number hidden on the grid at that position."
2x − 3y = 3 4x + 3y = 15
Ada's punched card — columns 1–4, rows 1–4
Hint 1
Try adding the two equations together. Watch what happens to y.
Hint 2
Adding them eliminates y: 6x = 18, so x = 3. Substitute x back into either equation
to find y. Then read the grid at (column x, row y).
Worked Solution
Add the equations: 6x = 18, so x = 3. Substitute: 2(3) − 3y = 3 → 6 − 3y = 3
→ y = 1. The coordinate is (3, 1): column 3, row 1. The number in that
square is 7.
Code digits collected so far
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Clue 2 — The Iron Triangle
You slip into Babbage's workshop, where the half-built Analytical Engine rises
from the floor like an iron cathedral. Its massive frame, Ada explains in her notes, is
braced with triangles — the one shape that cannot be deformed, which is why
engineers trust it to hold the machine's thousands of moving parts. Etched into the
central beam is a triangle bearing a missing angle.
The Puzzle
"The angles of a triangle always keep a certain total. Two of the angles etched on the
beam measure 47° and 70°. Find the missing angle, x. The
units digit of x is your second code digit."
Hint 1
What do the three interior angles of any triangle add up to?
Hint 2
Add 47 + 70 first, then subtract that from the triangle's total. Your code digit is
the last digit of the missing angle.
Worked Solution
The angles of a triangle sum to 180°: 47 + 70 = 117, and 180 − 117 = 63.
So x = 63°, and the units digit — your code digit — is 3.
Code digits collected so far
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Clue 3 — The Gear Wheel Polygon
Deep in the workshop, a drawer of spare gear wheels clicks open. Each wheel is a
regular polygon, and the Engine's timing depends on knowing exactly how many sides each
one has. Ada's note is pinned to the largest wheel: "The pattern repeats — as
all good patterns do." She is thinking of the way the Engine turns calculation into
rhythm, the way a loom turns thread into flowers.
The Puzzle
"Each interior angle of a regular polygon measures 140°.
How many sides does the polygon have? That number is your third code digit."
Hint 1
Instead of interior angles, think about the exterior angles — the turn you
make at each corner as you walk around the polygon. Every polygon's exterior angles
share one famous total.
Hint 2
Each exterior angle = 180 − 140 = 40°. The exterior angles of any polygon
sum to 360°. Divide.
Worked Solution
Each exterior angle is 180° − 140° = 40°. Exterior angles always sum
to 360°, so the number of sides is 360 ÷ 40 = 9.
Code digits collected so far
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Clue 4 — The Parallel Rails
The final clue is engraved on the punch-card track — the two parallel brass
rails that carry each card into the heart of the Engine. Cards must travel the rails in
perfect parallel, or the pins miss the holes and the program fails. Ada, the daughter of
a poet, has hidden her secret in the geometry of the crossing beam. One last time, her
note reads: "Imagination is the discovering faculty."
The Puzzle
"Two parallel rails are cut by a transversal beam. The two marked angles lie on the
same side of the beam, between the rails. Solve for x. The value of x is
your fourth and final code digit."
Hint 1
The two marked angles are on the same side of the transversal and
between the parallel lines. Angles in that position have a special
relationship — it is not "equal."
Hint 2
Co-interior (same-side interior) angles are supplementary: they add up to
180°. Set (18x + 12) + (12x + 48) = 180 and solve.
Worked Solution
Co-interior angles are supplementary: (18x + 12) + (12x + 48) = 180 →
30x + 60 = 180 → 30x = 120 → x = 4.
Code digits collected so far
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The Security Box
Back in the study, the prototype security box sits on Ada's desk, its four brass
dials gleaming. Outside, carriage wheels crunch the gravel — the investors are
arriving. Everything Ada has worked for is inside: the notes, the program, and her proof
that the Engine can weave algebra into music. Enter the four digits, in the order you
found them.
Ada wrote down every digit you found — here is your code, in order:
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Game Master Answer Key — Order of Play
Clue 1, Punched Card Coordinate: system of equations gives (3, 1); grid value = 7
Clue 2, Iron Triangle: 180 − (47 + 70) = 63°; units digit = 3
Hints appear in two tiers; the full worked solution button only unlocks after three wrong attempts, so players are never handed the answer up front.
The Engine Awakens
7 – 3 – 9 – 4 — the dials fall into place.
✦ ✦ ✦
The box springs open. Inside lie Ada's notes and the final program — an algorithm
for computing the Bernoulli numbers, the world's first computer program. As the
investors fill the doorway, Ada feeds the punched card into the Engine. It clatters to
life, and the room falls silent. The machine is not merely a calculator; it is a loom
for ideas. Ada's place in history is secured — and it was geometry that unlocked it.
Did You Know?
The First Program: In 1843, Ada Lovelace published an algorithm for calculating Bernoulli numbers for Charles Babbage's Analytical Engine — widely considered the world's first computer program.
Poetical Science: Ada called her approach "poetical science," and predicted that computers would one day manipulate symbols, create graphics, and compose complex music — not just crunch numbers.
The Mechanical Loom: She saw that computing mirrored weaving, writing that the machine "weaves algebraic patterns just as the Jacquard loom weaves flowers and leaves."
A Poet's Daughter: Ada was the daughter of the famous poet Lord Byron, though she never knew him — her mother steered her toward mathematics, hoping to suppress any poetic inheritance.
Sources: "Sketch of the Analytical Engine Invented by Charles Babbage, with Notes by the Translator" (Ada Lovelace, 1843); The British Library Archives.
Time Has Run Out
The study door swings open. The investors file in, pocket watches in hand, and Babbage's
funding is withdrawn before the Engine can prove itself. Ada's notes stay locked away
— for now. She leaves the puzzles standing for the next true mathematician to find.
Game Master Answer Key — Order of Play
Clue 1, Punched Card Coordinate: 2x − 3y = 3 and 4x + 3y = 15 give x = 3, y = 1; grid (col 3, row 1) = 7
Clue 2, Iron Triangle: 180 − (47 + 70) = 63°; units digit = 3
Suggested run time: 8 minutes. Clues 1–4 each take about 1–2 minutes; reserve the last minute for the final lock. Hints are two-tiered; worked solutions unlock only after three wrong attempts.