Tuesday, 30 January 2018

More on sevensided dice

Several years ago I made some seven-sided dice for some medieval board games mentioned in the Libre de los Juegos (1283) by Alphonso X 'The Wise'. These dice were not entirely fair, as they showed more often the 6 and 7 on the pentagon sides. As I now had some spare antler (from the reconstructed Noyon chess pieces), it was time to create some better dice.

The old seven-sided dice.

First, a large pentagon column was made having equal sides at a 72 degree angle. Then, the idea was that the pentagon and the rectangles should have the same surface area. If you have the length of one side of the pentagon, this is easily calculated using the next formula. Or even easier, you can use a website to do this for you. From the surface area you then can calculate the length of the rectangle, as a of the pentagon and a of the rectangle are the same, as well as the surface A.

The pentagon and the formula for the surface area (A).

 The rectangle and the formula for the surface area (A).

Funny enough this did not yield a fair dice. On the contrary, here, most of times the rectangles showed. If you reconsider this, it is logical, as the edges of the dice are not the same: 72 versus 90 degrees. What followed next was a careful shortening of the rectangles with a belt sander, and checking whether the dice throw (>200 throws) became fair. In the end, after several removal steps, I now have reasonably fair seven-sided dice.

The new seven-sided dice.

Monday, 18 December 2017

Medieval chess pieces from antler: individual chess pieces

This post will show the individual chess pieces of the medieval Noyon-like chess pieces made from antler. Some more information on the original pieces and the construction of this set can be found in the previous blogpost.

The pawns

The two surviving pawns from the original Noyon chess set. The number of ribs is different due to the size of the pawn (9 vs 10). Both pawns belong to the same side. They are 30-31 mm high and have a diameter of 16-17 mm. Adjusted scan from the 'Revue archeologique de Picardie'.

Two pawns from each side. Also our (left side) pawns do have different numbers of ribs because of their diameters. The right side had to be newly designed by us and consists of triangles.

The rooks

The two original rooks from the Noyon chess set. Both are from the same side. Height 54/55 mm, width 37/34 mm and depth 20/21 mm, respectively. Adjusted scan from the 'Revue archeologique de Picardie'.

The four sides of a rook from the 'ribbed' side. This one was made from roe antler.

The four sides of a rook from the 'triangular' side. This one was made from deer antler.

All four rooks next to each other.

The knights

The two knights from opposing sides, as can be seen by the different front and backside. They measure 58/57 mm height, 36/30 mm width, and 32/27 mm depth, respectively.  Adjusted scan from the 'Revue archeologique de Picardie'.

All four sides from a knight from the 'ribbed' side. Our knights were adjusted to either the ribbed or triangular pattern, which is slightly dissimilar to the original patterns. The head of the knight has two lines.

All four sides from a knight of the 'triangular' side.

All four knights together. All knights were made from deer antler.

The elephants/bishops

Only one elephant survived from the Noyon chess set. The back looks like the 'ribbed' side. Height 56 mm, width 31 mm and depth 29 mm. Adjusted scan from the 'Revue archeologique de Picardie'.

All four side from an elephant from the 'ribbed' side.

All four sides from an elephant of the 'triangular side'.

All four elephants together. All elephants were made from deer antler.

The queens

Only one queen survived from the Noyon chess set, which has a 'ribbed' backside. Height 57 mm, width 42 mm, depth 34 mm.  Adjusted scan from the 'Revue archeologique de Picardie'.
The four sides of the 'ribbed' queen. Our queens are different from the Noyon one in such that the 'ribbed' variant also has a ribbed front.

The four sides of the 'triangular' queen.

The kings

Both original kings from the Noyon chess set. The differences between the two kings are the wider spacing on the back and the slashes on the triangles of King 2, while King 1 has an extra ring on his crown. Height 78/72 mm, width  46/38 mm and depth 34/37 mm, respectively. Adjusted scans from the 'Revue archeologique de Picardie'.

The four sides of the king from the 'ribbed' side. There is no distinction in crowns of the kings, as I noticed too late the extra ring, when there was not enough space left to add it.

The four sides of the king from the 'triangular' side. 

The kings and queens from the new chess set.

Sources used:

  • J-F. Goret, M. Talon and J-H. Ivinec, 2009. Le jeu d'echecs de Noyon dans sons contexte archeologique et historique. Revue Archeologique de Picardie 2009: 79-119.

Thursday, 14 December 2017

Medieval chess pieces made from antler

Last summer we have been in France, where we combined leisure time with satisfying our medieval curiosity. I did not only see medieval furniture (of which you already have seen some on this blog), but also some medieval (board) gaming stuff. The city of Noyon has a nice Musee du Noyonnais with all kinds of medieval artefacts, including some chests mentioned in a previous blogpost. But it also houses a rare find of medieval chess pieces dating from the 11th century and made of antler. The chess set is not complete but from each piece at least one has been preserved. 
The front and back sides of the Noyon chess set.

About the Noyon chess pieces

The chess set consists of ten pieces: two kings, one queen, one bishop, two knights, two rooks and two pawns. The chess pieces are dated to the first half of the 11th century based on ceramic deposits in the same archaeological layer. They were made by the same artist from local material (i.e. locally hunted deer). The chess pieces have an abstract style that was commonly found during this period. The two opposing sides can be distinguished from each other by their different looks, as the chess pieces do not have traces of colour on them. This was not uncommon, as also the famous Lewis chess set(s) were uncoloured, and could only be identified by their appearance. Here, the arrangement of the lines on the back and front seem to mark the different sides.

 The Noyon chess set. Image scanned from the 'Revue archeologique de Picardie'.

The pawns were constructed from the tines or points antler, while the other pieces were cut from the antler beam. The head of the king consist of an inverted point set into a drilled hole in the 'body'. The exact location of each set piece from the antler has been determined (see image below). The inside of an antler is made of more porous material, which can easily be seen in the kings and queen. The height of the larger chess pieces is between 7 and 8 cm for the kings, around 6 cm for the larger figures and around 3 cm for the pawns. The larger pieces have a diameter (though they more oval than round) between 3-5 cm. The rooks have a thinner oval form. The diameter of the pawns is 16-17 mm at base.

 The parts of the antler from which the Noyon chess pieces originate. 
Translated scan from the 'Revue archeologique de Picardie'.

Later during our holiday we paid a visit to Sylvestre Jonquay and his family in Normandy. He is member of the French re-enactment group Aisling 1178 which specializes in medieval board games. Moreover, he is the author (together with Fabian Müllers) of the book 'Les jeux au Moyen Age' (ISBN 978-2-9553607-5-0), and of numerous other articles on medieval board games. It is not surprising that their house (and the Aisling storage room) contains a massive amount of medieval games. Some of these games are beautiful reproductions, such as the 11th century Glouchester backgammon board made of bone. They are constantly improving their games, making them more and more authentic in look and feel. For instance they have made castings from original medieval backgammon pieces, and now use them in their games.

 The replica Glouchester backgammon board. 
Next to it boxes with game pieces made from mouldings of archaeological finds from Chateau Mayenne.

Marijn vs Sylvestre with the Lewis chess set (Marijn loses). Originally, the Lewis chess set has only one colour (ivory); Opposing sides could be differentiated from each other by their looks.

Anne playing oblong chess (4 x 16 board) with Sylvestre. Next to it, a Byzantine chess game in progress.

This made me thinking ... could I make a replica and complete the set of the Noyon chess pieces? After all, they were made of what was called 'bois de cerf' in French, so working with this material was likely similar to to 'bois' [wood]. It was worth a try.

Making a Noyon-type medieval chess set

I do call this a Noyon-type medieval chess set and not a Noyon replica, because it is impossible to make an exact replica. The two main reasons are (1) that I had to invent/design the missing pieces; and (2) each deer antler is different in form, therefore you cannot obtain exactly the same shapes as the original. Well, perhaps if you have an indefinite supply of antler - which unfortunately is not the case for me. 

The steps to make a pawn from antler.

So I bought some antler, cut the top tine with a hacksaw, and tried to make a pawn. A chisel was used to make the basic pawn more conical in form. This went relatively well. Then I had to add the grooves. I tried to do this using a knife and a gouge. This was no success. Yes, I was successful in cutting my fingers ... but the antler proved to be a very hard material and the pawn a small chess-piece. I then resorted to files - especially the small needle files, and this resulted my the first satisfying game piece. On the other side, the files became very clogged with the antler, and this was very difficult to remove - even with a steel file brush. So how did the medieval men work this material?  I still have no idea, though perhaps a burin was used, as I also used.the file point that way.

Enter the power tools

Using an angle grinder equipped with a diamond cutting wheel creates a lot of dust and noise.

A large thick antler was used for the 'special' chess types, while a thin antler provided for the pawns.

The raw antler material and waste.

To speed things up, I started using modern powertools. This helped a lot, but the downside was that it produced a lot of dust and it smelled like burned hair. A angle grinder equipped with a diamond cutting wheel was used to cut the antler in pieces. An hacksaw with a saw-blade for metal was used to make the basic form, which was then rounded on a belt sander with a 80 and 120 grid sanding belt.
Then a Dremel with a cutting wheel was used to cut the lines on the chess pieces, switching to a sanding drum to round of the edges of the lines. Removal of small pieces, e.g. for the heads, was done with a diamond coated cutter on the Dremel.

To give an idea of the diametre of the antler. If you compare this with the original moulds of some trictrac (a gift by Sylveste of Aisling 1178; the originals also made from antler), some would have been made from an even larger deer.

The Noyon-type chess set in its raw form: only 11 pawns and one rook have been finished.

Fine-tuning the pieces was done with needlefiles (triangular, square and half-round were most used), after which the chess piece was sanded with 240 and 400 grid sandpaper. Also I needed to buy some new file sets, as the ones used for the chess set were ruined.

A belt sander with 80 and 120 grit sandpaper was used to smoothen and form the raw chess pieces. 
Again a lot of antler-dust is produced.

The raw form was cut with an hacksaw. Also here the saw blade clogged up.

Back to medieval tools: making the pips / eyes


Both the knight and the king have a head containing eyes. The way these eyes are made is similar to the pips on medieval dice (or game pieces for backgammon). A special drill bit is needed to make the pips. As these cannot be bought I had to make these drill bits myself. I used an old forged iron nail for this; the nail head was sawn of and filed to the correct thickness and width. Then the (not yet) drill part was sanded and polished using 180 to 15000 grid sanding cloth. (When the drillpoints are made, polishing is much more difficult). With a small hacksaw two lines were sawn, which were first filed to a point and then horizontally a bit more triangular, to create a cutting bevel. To file the teeth, a diamond shaped saw file with a very fine single cut, for sharpening Japanese saws, was used (Dictum tools, ID 712813 and ID 712814). These files have a very thin and sharp point (less than a half mm), ideal to enter the small saw-line. This way I was able to create drills for 3 and 4 mm pips. The centre point of the drill has to be slightly higher that the two outer points, in order to keep the drill-bit centred at the start and for easier turning.
 SMILE! Two pip drills were made, 
one of 3 mm and one of 4 mm diameter. 
Test on a piece of horn.

Left: The pip drills were made of old forged nails, which were then files to the appropriate thickness (the wedge form) and width. Right: Two lines were sawn on the point of the nail.

Left: The Japanes file saw has a very sharp diamond shape, with a point less than 0.5 mm. Right: The teeth of the two pip drill bits. A bevel is made on the teeth.

The pip drill sequence: first moving the drill holder by hand until the first circle appears in the material. Then drilling faster and with more pressure using the wheel of the hand drill.

A hand drill with wheel was used to  drill the pips. The first drill turns were made manually moving the bit holder. After the position of the bit was stable in the antler, the wheel was used to rotate the drill bit. Once the pip drills were made, the heads of the chess pieces could be made. As the heads were rounded, first a flat area was made using the Dremel equipped with a diamond cutter. Creating a flat area also caused the appearance of the nose. After that the eyes could be made with the pip drill.
The kings head first had a square pin. This provided a secure grip of the head in a vise or in a wooden jig with a square hole (needed when the head was made upside conical with a chisel). When the head was finished, the square pin was rounded.

Left: One of the kings, showing the loose head - useful during check-mate. Right: The head first had a square pin, so it could easily be clamped into a vise and worked. After the head was finished, the pin was rounded.

 The front and back of a finished king.

The completed set

The complete set is rather large for the board. The individual pieces will be shown in another blogpost.

The finished Noyon-style chess set.


Sources used:

  • M. Grandet and J-F. Goret, 2012. Echecs et trictrac. Fabrication et usages des jeux de tables au moyen age. Exhibition catalogue Chateau de Mayenne, 23 June - 18 November 2012. Edition Errance, Paris, France. 160 pp. ISBN 978-2-87772-503-3.
  • J-F. Goret, M. Talon and J-H. Ivinec, 2009. Le jeu d'echecs de Noyon dans sons contexte archeologique et historique. Revue Archeologique de Picardie 2009: 79-119.
  • F. Müllers and S. Jonquay, 2016. Les jeux au Moyen Age, second edition. Edition La Muse. 319 pp. ISBN 978-2-9553607-5-0.