We are always looking for well-executed, original ideas for our customers and here's an idea that appealed to us wholeheartedly. A home or classroom clock is an object to be viewed mostly either in desperation (where did that time go?) or in exasperation (why won't that minute hand move faster?) So we loved the idea that we could make that experience a cause for wonder!
Ideas in Time have created three wonderful clocks that focus the mind on the mathematics of time and space. Perfect as gifts for mathematicians, as centrepieces of mathematics rooms in schools and colleges or as a very personal reminder of the wonders of the universe!
The clock works by combining a spiral arm, designed using a Golden Ratio rectangle or a rectangle comprising contiguous squares whose sides are Fibonacci numbers (i.e. the same thing). That natural perfection is combined with a simple expanding number series that tell the hours: the distances calculated exactly using the 12th root of the spiral turn. Watching the minutes move will never be the same again.
As the Archimedean spiral has the property that any ray from the origin intersects successive turnings of the spiral in points with a constant separation distance (an "arithmetic spiral"), the hours can be simply placed at 30o angles from the centre.
It is then simply a case of reading off where the arm intersects the numbers on the clock face as it moves around in its smooth rotation.
The clock comes with some nice activities for those who want to explore Archimedean spirals further.
The intersection of the angled arm and the numbers marked on the two hyperbolic curves indicates the hour. The pointed hand beneath the X shows the minutes. There are four "Cardinal half-hour positions as the arm moves around to specific points. The base of the clock can be considered as a normal analogue clock if viewed from above...with the angled arm moving a manner that fascinates! Unique and attractive.
If you want to see how the Hyperbola Clock moves - contact firstname.lastname@example.org and we will send you a gif file!