17-01-2021, 01:44 AM
Hello everyone!
I have been working on a script that computes a similarity score for pairs of zodiacs.
Unfortunately, I don't have much time to work on this anymore, so I thought I would share everything I currently have with the community in case anyone is interested.
The tl;dr of what I am doing is:
The most (overall) similar zodiacs to the Voynich's are, in order:
Aries:
You are not allowed to view links. Register or Login to view. (1200, Soissons, France)
[attachment=5163]
Taurus
[font=Tahoma, Verdana, Arial, sans-serif]You are not allowed to view links. Register or Login to view. ([/font]1400-1450, Bavaria, Germany)
[attachment=5165]
Gemini
You are not allowed to view links. Register or Login to view. (1250, Amiens, France)
and (tie)
You are not allowed to view links. Register or Login to view. (1444, South Germany)
[font=Tahoma, Verdana, Arial, sans-serif][attachment=5166][/font]
[font=Tahoma, Verdana, Arial, sans-serif]Cancer[/font]
[font=Tahoma, Verdana, Arial, sans-serif]A lot of ties, because most of them look the same[/font]
[font=Tahoma, Verdana, Arial, sans-serif]Leo[/font]
[font=Tahoma, Verdana, Arial, sans-serif]You are not allowed to view links. Register or Login to view. (1480, Ahun, France)[/font]
[font=Tahoma, Verdana, Arial, sans-serif]and (tie)[/font]
[font=Tahoma, Verdana, Arial, sans-serif]You are not allowed to view links. Register or Login to view. (1412-1416, France)[/font]
[font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif][attachment=5167][/font][/font]
[font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif]Virgo[/font][/font]
[font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif]You are not allowed to view links. Register or Login to view. (1230, Sicily, Italy)[/font][/font]
[font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif][attachment=5168][/font][/font][/font]
Libra
A bunch of ties, not really distinctive
Scorpio
You are not allowed to view links. Register or Login to view. (1250, South Germany)
[attachment=5169]
Sagittarius
[font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif]You are not allowed to view links. Register or Login to view. ([/font][/font][/font]1400-1450, Bavaria, Germany)
[font=Tahoma, Verdana, Arial, sans-serif]and (tie)[/font]
[font=Tahoma, Verdana, Arial, sans-serif]You are not allowed to view links. Register or Login to view. (1425, Lake Constance, Switzerland)[/font]
[font=Tahoma, Verdana, Arial, sans-serif]and (tie)[/font]
[font=Tahoma, Verdana, Arial, sans-serif]You are not allowed to view links. Register or Login to view. (1463, Konstanz, Switzerland)[/font]
[font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif][attachment=5170][/font][/font]
Pisces
You are not allowed to view links. Register or Login to view. [font=Tahoma, Verdana, Arial, sans-serif](1430-1450, South Germany)[/font]
[font=Tahoma, Verdana, Arial, sans-serif]and (tie)[/font]
You are not allowed to view links. Register or Login to view.[font=Tahoma, Verdana, Arial, sans-serif] (1250, South Germany)[/font]
[attachment=5171]
The visualization below instead shows the graph of similarities between all zodiacs, to give you a sense of the "clusters" that exist out there. It's pretty tricky to explain but basically each node is a zodiac, they are connected by an edge if their similarity score is greater than a given value, and they have been laid out using a force-based graph visualization algorithm. The size of the edges is proportional to their strength (similarity).
Note that zodiacs might appear close together even if they are not strongly connected, so make sure you look at the edges.
Full-res image available You are not allowed to view links. Register or Login to view..
[attachment=5172]
You are not allowed to view links. Register or Login to view. contains the following files:
I have been working on a script that computes a similarity score for pairs of zodiacs.
Unfortunately, I don't have much time to work on this anymore, so I thought I would share everything I currently have with the community in case anyone is interested.
The tl;dr of what I am doing is:
- There are 11 components, one for each zodiac sign present in the VMS, plus one for generic characteristics (e.g. number of signs per page, type of frames around signs, etc.)
- For each component, I defined a list of characteristics to be compared (e.g. how many limbs does Scorpio have? Is Taurus eating something? etc.)
- For 100 zodiacs (thanks Marco for providing the list and for your feedback!) I looked at all the signs and recorded their characteristics.
- I defined a similarity function that is tuned for each characteristic but, for most of them, it returns 1 if the values are the same, 0 otherwise.
- I subjectively gave more weight to some characteristics and gave more weight to characteristics that are rare across the whole dataset (e.g. virgo being a woman is pretty common, so it's assigned less weight).
- For each couple of manuscripts in the dataset, I compute a similarity score for each sign and an overall similarity score (average of the 11 components).
The most (overall) similar zodiacs to the Voynich's are, in order:
- You are not allowed to view links. Register or Login to view. (1450-1460, Freiburg, Germany)
- You are not allowed to view links. Register or Login to view. (1430-1450, South Germany)
- You are not allowed to view links. Register or Login to view. (1400-1450, Bavaria, Germany)
- You are not allowed to view links. Register or Login to view. (1250, South Germany)
- You are not allowed to view links. Register or Login to view. (1450-1499, Iran)
Aries:
You are not allowed to view links. Register or Login to view. (1200, Soissons, France)
[attachment=5163]
Taurus
[font=Tahoma, Verdana, Arial, sans-serif]You are not allowed to view links. Register or Login to view. ([/font]1400-1450, Bavaria, Germany)
[attachment=5165]
Gemini
You are not allowed to view links. Register or Login to view. (1250, Amiens, France)
and (tie)
You are not allowed to view links. Register or Login to view. (1444, South Germany)
[font=Tahoma, Verdana, Arial, sans-serif][attachment=5166][/font]
[font=Tahoma, Verdana, Arial, sans-serif]Cancer[/font]
[font=Tahoma, Verdana, Arial, sans-serif]A lot of ties, because most of them look the same[/font]
[font=Tahoma, Verdana, Arial, sans-serif]Leo[/font]
[font=Tahoma, Verdana, Arial, sans-serif]You are not allowed to view links. Register or Login to view. (1480, Ahun, France)[/font]
[font=Tahoma, Verdana, Arial, sans-serif]and (tie)[/font]
[font=Tahoma, Verdana, Arial, sans-serif]You are not allowed to view links. Register or Login to view. (1412-1416, France)[/font]
[font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif][attachment=5167][/font][/font]
[font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif]Virgo[/font][/font]
[font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif]You are not allowed to view links. Register or Login to view. (1230, Sicily, Italy)[/font][/font]
[font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif][attachment=5168][/font][/font][/font]
Libra
A bunch of ties, not really distinctive
Scorpio
You are not allowed to view links. Register or Login to view. (1250, South Germany)
[attachment=5169]
Sagittarius
[font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif]You are not allowed to view links. Register or Login to view. ([/font][/font][/font]1400-1450, Bavaria, Germany)
[font=Tahoma, Verdana, Arial, sans-serif]and (tie)[/font]
[font=Tahoma, Verdana, Arial, sans-serif]You are not allowed to view links. Register or Login to view. (1425, Lake Constance, Switzerland)[/font]
[font=Tahoma, Verdana, Arial, sans-serif]and (tie)[/font]
[font=Tahoma, Verdana, Arial, sans-serif]You are not allowed to view links. Register or Login to view. (1463, Konstanz, Switzerland)[/font]
[font=Tahoma, Verdana, Arial, sans-serif][font=Tahoma, Verdana, Arial, sans-serif][attachment=5170][/font][/font]
Pisces
You are not allowed to view links. Register or Login to view. [font=Tahoma, Verdana, Arial, sans-serif](1430-1450, South Germany)[/font]
[font=Tahoma, Verdana, Arial, sans-serif]and (tie)[/font]
You are not allowed to view links. Register or Login to view.[font=Tahoma, Verdana, Arial, sans-serif] (1250, South Germany)[/font]
[attachment=5171]
The visualization below instead shows the graph of similarities between all zodiacs, to give you a sense of the "clusters" that exist out there. It's pretty tricky to explain but basically each node is a zodiac, they are connected by an edge if their similarity score is greater than a given value, and they have been laid out using a force-based graph visualization algorithm. The size of the edges is proportional to their strength (similarity).
Note that zodiacs might appear close together even if they are not strongly connected, so make sure you look at the edges.
Full-res image available You are not allowed to view links. Register or Login to view..
[attachment=5172]
You are not allowed to view links. Register or Login to view. contains the following files:
- 'zodiac.csv': this is a database of all the zodiacs I found. For each of them, you will find the characteristics of each sign, some general characteristics (location, time period, etc.), and a link to the image of each sign. You can open it using Excel.
- 'similarities.csv': this is the output of my script and it contains the similarity scores for all couples of manuscripts.
- 'zodiacs_similarities.py': is my (Python) script.
- 'edges.csv' and 'nodes.csv' are also generated by my script and can be imported using the Gephi software to visualize the network of zodiacs.
- I did this analysis without any theories in mind
- There is a lot of subjectivity going on my script. Feel free to play around with things, change values, add new zodiacs to the database, etc.
- My code is pretty bad, I wrote it optimizing for speed, but I tried to add as many comments as possible.
- If you have any questions, I am more than happy to answer them