Numerological Lucky Clocks - TalisTime (Talisman-Time)

Lucky 4444 Clock or Four 4 Clock












Lucky 4444 Clock or Four 4 Clock

The 1 to 12 numbers are calculated each with four 4s (in a not unique way) as showing on 4444 clock.
You'll notice that all the numbers of the clock are created, using four fours.
x! denotes x factorial, the product of all integers less than or equal to x. So...
1! = 1 = 1
2! = 2*1 = 2
3! = 3*2*1 = 6
4! = 4*3*2*1 = 24
5! = 5*4*3*2*1 = 120
This clever little clock boasts 48 fours in its display, all cleverly arranged into a dozen mathematical expressions that resolve to the integers traditionally found on an analog timepiece.

1 = 4*4/4/4 = (4 + 4)/(4 + 4) = 44/44 7 = 4 + 4 - 4/4 = 4!/4 + 4/4
2 = 4/4 + 4/4 = 4/√4 + 4 - 4 8 = 4 + 4 - 4 + 4 = 4!! + (4 - 4)/4 = (4 + 4)*4/4
3 = (4 + 4 + 4)/4 = 4!!/4 + 4/4 = 4!/4!!*4/4 9 = 4 + 4 + 4/4 = 4/.4 - 4/4 = 4/.(4) + 4 - 4 = (4!/4/√4)√4
4 = 4 + 4*(4 - 4) = 4!!/(4 + 4)*4 10 = (44 - 4)/4 = 4/.4 - 4 + 4 = 44/4.4
5 = (4 + 4*4)/4 = 4 + (√4 + √4)/4 11 = 44/(√4 + √4) = 4/.4 + 4/4
6 = 4 + (4 + 4)/4 = 4!/4 + 4 - 4 12 = (44 + 4)/4 = 4/.4 + 4/√4


Representation of numbers with four 4's
13 = 44/4 + √4 = 4!! + 4 + 4/4 43 = 44 - 4/4
14 = 4!/4 + 4 + 4 = 4!! + 4 + 4/√4 44 = 44 + 4 - 4
15 = 4*4 - 4/4 = 44/4 + 4 = ((√√√4)4! - 4)/4 45 = 44 + 4/4
16 = 4 + 4 + 4 + 4 = 4*4*4/4 = 44/4/4 = 4! - 4 - 4 46 = 44 + 4/√4
17 = 4*4 + 4/4 = ((√√√4)4! + 4)/4 47 = 4!*√4 - 4/4
18 = 4*4 + 4 - √4 48 = 44 + √4 + √4
19 = 4! - 4 - 4/4 = 4!!/.4 - 4/4 49 = 4!*√4 + 4/4
20 = (4! - 4)*4/4 = (4! - 4) + 4 - 4 50 = 4!*√4 + 4/√4
21 = 4! - 4 + 4/4 = 4!!/.4 + 4/4 51 = 4!*√4 + 4 - [√√4] = (4! - 4 + .4)/.4
22 = 4*4 + 4 + √4 = 4/.(4)*√4 + 4 52 = (4! + √4)*4/√4
23 = 4! - 4 + 4/4 = 4!!/.4 + 4/4 53 = 4!*√4 + 4 + [√√4]
24 = 4*4 + 4 + 4 = 4/.4*√4 + 4 54 = 4!*√4 + 4 + √4
25 = 4! + (√4 + √4)/4 55 = 44/√4/.4
26 = 4! + (4 + 4)/4 56 = 4!*√4 + 4 + 4 = 4! + 4! + 4 + 4
27 = 4! + 4 - 4/4 = (4*4 - 4)/.4 57 = 44 + [√(4!!*4!)]
28 = 4! + 4 + 4 - 4 = (4! + 4)*4/4 58 = 4!/.4 - 4 + √4
29 = 4! + 4 + 4/4 59 = 4!/.4 - 4/4
30 = 4*4*√4 - √4 = ((√√√4)4! - 4)/√4 60 = 4*4*4 - 4
31 = 4!!*4 - 4/4 = ((√√√4)4! - √4)/√4 61 = 4!/.4 + 4/4
32 = 4!!*4 + 4 - 4 62 = 4*4*4 - √4(1) = 4!!√4 - 4/√4
33 = 4!!*4 + 4/4 = ((√√√4)4! + √4)/√4 63 = 4!!√4 - 4/4
34 = 4/.(4)*4 - √4 = 4*4*√4 + √4 = ((√√√4)4! + 4)/√4 64 = 4! + 44 - 4
35 = 4!!/.(√4) - 4/4 = 4! + 44/4 65 = 4!!√4 + 4/4
36 = 4*(4 + 4) + 4 = 4*4*√4 + 4 66 = 4!/.4 + 4!/4 = 4*4*4 + √4
37 = 4!!/.(√4) + 4/4 67 = 4!!√4 + 4 - [√√4]
38 = 4!!/.(√4) + 4/√4 68 = 4*4*4 + 4
39 = 4!!/.√4 - 4/4 69 = 4!!√4 + 4 + [√√4]
40 = 4*4/.(4) + 4 = 4!!*(4 + 4/4) = 4!!/.√4 + 4 - 4 70 = 44 + 4! + √4
41 = 4!!/.√4 + 4/4 71 = (4! + 4 + .4 )/.4
42 = 44 - 4/√4 72 = (4!*4!)/(4 + 4)

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