Clock Time Puzzle
Set five analog clocks in five-minute steps and verify both hand angles before completing the fixed 1,000-point route.
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How to use
- 1.Read the target time, then adjust the hour by one and the minute by five using the buttons or Arrow keys while watching the Canvas hands.
- 2.Submit the selected time. The minute angle is 6m and the hour angle is 30(h mod 12)+0.5m; an identical wrong setting is deduplicated.
- 3.Set 3:00, 6:30, 9:45, 12:00, and 2:25 in order to solve all five clocks for exactly 1,000 points.
About Clock Time Puzzle
Clock Time Puzzle is a five-card analog-clock game rendered on a real Canvas. Each card names a target time, while the player adjusts an hour from one through twelve and a minute from zero through fifty-five in five-minute steps. The selected digital time and the Canvas hands update together. The five targets are original Lizely fixtures; the hand-rate formulas are externally cross-checked.
The minute hand moves six degrees per elapsed minute because sixty minutes cover a full 360-degree turn. The hour hand moves thirty degrees per hour and continues between hour marks at one-half degree per elapsed minute. The game therefore computes minuteAngle = 6 × minute and hourAngle = 30 × (hour modulo 12) + 0.5 × minute.
University of Cambridge NRICH explains both clock-hand rates and provides a worked 20:14 example. An independent Rutgers University explanation confirms the continuous hour-hand formula and the six-degree minute-hand relationship. Literal release vectors include 12:00, 3:00, 6:30, 9:45, 12:30, 3:15, 8:24, 20:14, and 2:25.
The fixed game route asks for 3:00, 6:30, 9:45, 12:00, and 2:25. The corresponding hand angles are 0/90, 180/195, 270/292.5, 0/0, and 150/72.5 degrees when written as minute/hour. Each exact submission awards 200 points, so all five cards total exactly 1,000.
Use the hour and minute controls with a pointer or touch screen. Keyboard players use Up and Down for the hour, Left and Right for five-minute changes, and Enter to submit. R restarts when focus is outside an editing control. The Canvas contains no animation loop; its effect only redraws from the selected hour and minute. Status, target time, selected time, formula, current angles, mistakes, feedback, and score remain visible.
A wrong time creates one recoverable error identified by round, hour, and minute. Submitting that identical setting again is a no-op. A second distinct wrong setting closes the clock file. Hours outside one through twelve, minutes outside zero through fifty-five, noninteger values, and minutes not divisible by five are atomic no-ops in product controls. The lower-level angle function separately validates conventional 0–23 hours and 0–59 minutes for evidence vectors.
Completion and deadlock freeze time adjustment and submission. Restart restores 12:00 on the first card, zero score, and zero errors. The shared game shell supplies best score and the Boss Key. Independent tests own the nine literal angle pairs and five target times instead of generating expected values from production code. They cover five-minute wrapping, repeat deduplication, two distinct wrong settings, illegal input, restart, exact 1,000, and terminal freezing.
All processing stays in the browser. There is no account, alarm, scheduling service, timezone claim, API, model, upload, timer dependency, or new package. This is educational entertainment, not a standardized teaching assessment, reaction test, accessibility screen, or guarantee that a learner has mastered timekeeping. The citations support only the mathematical hand rates. No personal clock history is stored or transmitted. The source comparison is limited to disclosed geometry and does not validate gameplay.
Methodology & sources
Represent five fixed target times and a selected 12-hour time with five-minute increments. Compute minute angle as six times minute and hour angle as thirty times hour modulo twelve plus one-half minute. Award 200 for each exact target and 1,000 after five, reject invalid or off-step product times atomically, deduplicate a round-hour-minute error signature, deadlock on the second distinct wrong setting, and freeze terminals. Cross-check the rates with Cambridge NRICH and Rutgers University and independently restate at least eight literal angle vectors.
Frequently asked questions
- Why does the hour hand move between hour marks?
- It moves continuously at 0.5 degrees per elapsed minute, so at 6:30 it is halfway between six and seven at 195 degrees.
- What time steps can I select?
- Hours run from 1 through 12 and minutes use five-minute steps from 00 through 55. Invalid or off-step values are rejected atomically.
- What sources support the hand angles?
- Cambridge NRICH and an independent Rutgers University explanation both support the continuous minute- and hour-hand formulas.
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