Whimsical digits... and crazy new rules

I’ve been away for quite some time (life happens, you know), and I’ve missed all the new “challenges” that have been thrown into the platform. And there seem to be quite a few of them too, some of which I haven’t figured out yet.

So… I came across the photo of a contemporary watch with a crazy dial layout (and a crazy price, courtesy of Franck Muller), with the hours placed in a seemingly random fashion. This photo woke me up, it kept making me think how a layout like that could be implemented on here without using 12 sets of if-then-else conditionals for the hours hand rotation. I tried many different ideas in Excel, none of which worked.

So with my tail between my legs I resorted to ChatGPT, asking it this:

Is there a way to scatter the numerals around a watch face (in the usual 30 degree increments) in such a way that a formula can be used to determine their angular position based on the actual hour?

And this screenshot was its response:

I went back and forth with this in Excel, until it started to work in tests I was doing. I picked 5 for the prime, made a new table in Excel listing actual hours, and calculated where their “whimsical” position would be – and that gave me the dial layout that you can see here, entirely defined by the formula.

Next, based on ChatGPT’s response and the tests I ran, the hours hand (which has to be a “jump hour” hand for obvious reasons) came out to be:
(30 * ((5*(#DK#%12)+1)%12))

Now, I don’t know if Marvelous Marvin will reject this face, but that crazy watch photo fascinated me and I had to make a variation of it and try it for myself into a working model.

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Nice one. And good to see you back.

I think somebody asked for something like that on facebook few years ago, so I took it as chalenge. I simply looked at that crazy dial and noticed pattern, one was on usual place and each next digit was 5 usual places ahead.
The hour hand formula maybe was simpler, I think ((#DWFK#)*5+240)

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Yes challenge is the right word, for me this was both a technical fascination and a challenge! And a challenge is how I started with all this from the very beginning with the “satellite” face, when I knew nothing at all.

But yes pattern is what helps. The pattern you described is simpler to implement. Staring at the original Franck Muller photo and playing with tables and calculations in Excel, I could only see a pattern but I wasn’t able to formulate it. That pattern has 1, 4, 7, and 10 (every other 3 hours) in their original place, and the rest are either 4, 8, -4, or -8 offset. I couldn’t figure out the pattern.

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Oh and as far as the dial design, I wasn’t sure whether to keep all digits the same size, or use 4 different sizes like you see here, where diagonally the sizes match (it’s a crazy face after all!). In the original watch, the digit size is constrained by the rectangular space and works very well there.

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I made me a western style variant of the totally crazy face, with date dial also jumping around.

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Yes, nice to hear from you…!

I have come across this also, but put it away thinking it’s not my thing. I prefer readable dials…
But yes I recall something around a pattern, ah yes just found Peter’s crazy hours watch face …

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Very nice creative idea!. Here’s a challenge for you: how about a 2.0 version with a randomly moving minute hand?

I did not see a pattern in this one :sunglasses:
And there are actually 61 numbers…

So the only rotation I came up with is:

$#Dm#=0?153.4:$$#Dm#=1?342.2:$$#Dm#=2?259.6:$$#Dm#=3?94.4:$$#Dm#=4?112.1:$$#Dm#=5?277.3:$$#Dm#=6?300.9:$$#Dm#=7?348.1:$$#Dm#=8?312.7:$$#Dm#=9?59:$$#Dm#=10?123.9:$$#Dm#=11?17.7:$$#Dm#=12?206.5:$$#Dm#=13?241.9:$$#Dm#=14?318.6:$$#Dm#=15?324.5:$$#Dm#=16?23.6:$$#Dm#=17?330.4:$$#Dm#=18?177:$$#Dm#=19?53.1:$$#Dm#=20?29.5:$$#Dm#=21?100.3:$$#Dm#=22?135.7:$$#Dm#=23?5.9:$$#Dm#=24?147.5:$$#Dm#=25?165.2:$$#Dm#=26?194.7:$$#Dm#=27?265.5:$$#Dm#=28?182.9:$$#Dm#=29?118:$$#Dm#=30?82.6:$$#Dm#=31?70.8:$$#Dm#=32?230.1:$$#Dm#=33?47.2:$$#Dm#=34?283.2:$$#Dm#=35?212.4:$$#Dm#=36?64.9:$$#Dm#=37?271.4:$$#Dm#=38?224.2:$$#Dm#=39?0:$$#Dm#=40?354:$$#Dm#=41?129.8:$$#Dm#=42?141.6:$$#Dm#=43?295:$$#Dm#=44?88.5:$$#Dm#=45?159.3:$$#Dm#=46?76.7:$$#Dm#=47?336.3:$$#Dm#=48?200.6:$$#Dm#=49?247.8:$$#Dm#=50?218.3:$$#Dm#=51?106.2:$$#Dm#=52?289.1:$$#Dm#=53?171.1:$$#Dm#=54?236:$$#Dm#=55?11.8:$$#Dm#=56?35.4:$$#Dm#=57?306.8:$$#Dm#=58?253.7:$$#Dm#=59?41.3:$$#Dm#=60?188.8:$

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btw. @kvansant also has an interesting “wandering jump hours”:

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Nice one, 61 numbers! You really can’t rely on AI these days :smile: But I hope you at least used it to create the formula… or did you go old school with a good old protractor?

Very nice and creative :+1:

AI told me there is no pattern, hence no formula…
I used Excel to generate the number matching the degrees, then added the Facer code:

Min Angle
$#Dm#= 0 ? 153.4 :$
$#Dm#= 1 ? 342.2 :$

Then exported it to a CSV and concatenated all into a single line.
I guess that is old school.

Ah ok good one. but Tom “AI told me there is no pattern“… I already told you that in my text, do not need AI for that :sunglasses:

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