Cubes clock

The cubes clock is a clock that displays the time by cubes. Each side of the cube contains a digit. Time is made by replacing and turning the cubes, in such a way that the digits on the cubes are presenting the time.

There are four different cubes clocks. The first one displays the standard time with 4 cubes. The second one presents the military time with 5 cubes. The third and fourth clock use the standard time including am/pm with 5 or 6 cubes.

Demo

Standard time - 4 cubes

4 cubes standard time 12:00

Computer animation: standard 4 demo
TBD: manual demo
TBD: automatic clock

Military time - 5 cubes

5 cubes military time 12:00

Computer animation: military demo
TBD: manual demo
TBD: automatic clock

Standard time - 5 cubes

5 cubes standard time 12:00

Computer animation: standard 5 demo

Standard time - 6 cubes

6 cubes standard time 12:00

Computer animation: standard 6 demo
TBD: manual demo
TBD: automatic clock

How does it work?

The question is: Is it possible to make a clock from 4 cubes?

wooden cubes

A cube has 6 sides. With 4 cubes there are in total 24 sides.

Standard time - 4 cubes

The standard time ranges from 1:00 to 12:59.

There are 4 positions: A possible time is 11:11. This means that there are a least 4 sides with '1' necessary.

The tabel gives the number of occurrences of each digit.

timedigit#
10:0003
11:1114
 2:2223
 3:3333
 4:4443
 5:5553
 6:x662
 7:x772
 8:x882
 9:x992
 1:23blank1
total-28

In total there are 28 digits needed to make all different possible.times. This is four more than the 24 cube sides. It is necessary to reduce the number of digits. Which way can this be done? So based on the number digits it may be possible to make the standard time with 4 cubes.

But is it possible to divide the digit over the cubes in such a way that all possible times can be displayed? Yes, there are several solutions.

The used solution is:

4 cubes with all digits

Some examples:

4 cubes 1200

4 cubes 639

4 cubes 10 0

4 cubes 10-0

4 cubes 10--

4 cubes 1100

4 cubes ----



Examples with real cubes:

4 cubes 1200

4 cubes 1234

4 cubes 759

4 cubes 10 0

4 cubes 10-0

4 cubes 10--

4 cubes 1001

4 cubes 1100

4 cubes ----


Military time

The military time ranges from 00:00 to 23:59.

There are 4 positions: A possible time is 22:22. This means that there are a least 4 sides with '2' necessary.

The tabel gives the number of occurrences of each digit.

timedigit#
00:0004
11:1114
22:2224
x3:3333
x4:4443
x5:5553
x6:x662
x7:x772
x8:x882
x9:x992
total-29

In total there are 29 digits needed to make all different possible.times. This is five more than the 24 cube sides. It is necessary to reduce the number of digits. Can this be done? This reduces the number of used digits to 25. So based on the number digits it is not possible to make the military time with 4 cubes.

The chosen solution is to present the time with 5 cubes, whereby the third cube is used to present the semi column.

5 cubes with all digits

Some examples:

5 cubes 00:00

5 cubes 07:37

5 cubes 12:00

5 cubes 23:59

5 cubes -----



Examples with real cubes:

5 cubes 07:59

5 cubes 10:00

5 cubes 10:01

5 cubes 11:00

5 cubes 12:00

5 cubes 12:34

5 cubes 17:07

5 cubes 23:59

5 cubes -----


Standard time - 5 cubes

The standard time with 4 cubes does not contain an AM/PM indicator. The most simple way to add AM/PM is to use the standard 4 cubes with one extra cube to indicate AM/PM. With this there are only two sides used on the last cube. The empty sides can be used for "noon" and "midnight", whereby the last may be split into "mid" and "night". The last open position is used for the company name "ap27".

5th cube with am/pm/noon/mid/night/ap27

Some examples:

5 cubes 00:01

5 cubes 12:00


Standard time - 6 cubes

The standard time with 6 cubes uses two cubes for AM/PM, one for A or P and one for M. This can be done in combination with the standard time with 4 cubes, but this solution uses the removal of a cube to present the space.
It is preferred to always use all cubes. The space needs be presented with a blank side in that case. The standard time ranges from 12:00 AM to 11:59 PM.

There are 6 positions: It was not possible to find a direct solution with 6 cubes with to cover all possible times. So it was necessary to do something special. Both methods together make it possible to present all possible times with 6 cubes. It is even possible to add something special for midnight and noon. The final solution is to present the time with 6 cubes.

6 cubes with all digits

Some examples:

6 cubes 12:00 MN

6 cubes 12:01 AM

6 cubes  9:59 AM

6 cubes 10:00 AM

6 cubes -N00N-

6 cubes 12:01 PM

6 cubes 11:59 PM

6 cubes ------



Examples with real cubes:

6 cubes 12:00 MN

6 cubes 12:01 AM

6 cubes  1:23 AM

6 cubes  9:59 AM

6 cubes 10:00 AM

6 cubes -N00N-

6 cubes 12:01 PM

6 cubes 11:59 PM

6 cubes ------


Comparison

standard 4standard 5militarystandard 6
12001200 MID/NIGHT00:001200MN
12011201 AM00:011201AM
12591259 AM00:591259AM
 100 100 AM01:00 100AM
 101 101 AM01:01 101AM
 959 959 AM09:59 959AM
10 010 0 AM10:001000AM
10-010-0 AM10:001000AM
10--10-- AM10:001000AM
10011001 AM10:011001AM
11591159 AM11:591159AM
12001200 NOON12:00-N00N-
12011201 PM12:011201PM
 100 100 PM13:00 100PM
11591159 PM23:591159PM