CrossClimb #718: Five-Step Word Ladder to a Mathematical Pair
Related Puzzle
CrossClimb #718
LinkedIn CrossClimb #718 for April 18, 2026 full solution with hints, top and bottom answers. Hints: Acceptable, but not necessarily great, Discover something by chance, Turn the dial of a watch, A rod used in a magic performance, Decrease in size, like the moon for half the lunar cycle, A two-word phrase for the graph of a mathematical function that goes up and down.
The Ladder Climb: Step-by-Step Letter Swaps
CrossClimb #718 presents a five-step word transformation where each clue guides you to the next word by changing exactly one letter.
Step 1: FINE
Clue: Acceptable, but not necessarily great.
Starting point. A word meaning satisfactory or adequate.
Step 2: FINE → FIND
Clue: Discover something by chance.
Letter swapped: E becomes D (position 4).
FINE to FIND replaces the final E with D, yielding the verb "to find."
Step 3: FIND → WIND
Clue: Turn the dial of a watch.
Letter swapped: F becomes W (position 1).
Swap the opening letter. WIND captures the action of rotating a watch stem or turning something spirally.
Step 4: WIND → WAND
Clue: A rod used in a magic performance.
Letter swapped: I becomes A (position 2).
Change the second letter. WAND emerges—the classic magical implement.
Step 5: WAND → WANE
Clue: Decrease in size, like the moon for half the lunar cycle.
Letter swapped: D becomes E (position 4).
Alter the final letter. WANE describes the moon's diminishing phase or any gradual decrease.
The Compound Final: Tying It Together
Compound question: A two-word phrase for the graph of a mathematical function that goes up and down.
Answer pair: SINE WAVE.
The Logic
The ladder's final two words—WAND and WANE—are auditory homophones of SINE and WAVE. When you hear "wand" and "wane" spoken aloud, they sound identical to the mathematical terms that form the solution.
A sine wave is the archetypal oscillating function: it rises and falls rhythmically, graphed as a smooth, undulating curve. This visual and conceptual symmetry mirrors the puzzle's design—each step transforms one letter, much like how a sine wave transitions smoothly through peaks and troughs.
The puzzle brilliantly connects everyday words (a magic wand, the waning moon) to mathematical elegance through phonetic disguise, rewarding solvers who recognize both the letter-by-letter mechanics and the hidden homophone layer beneath.