十等分の組合せの地割り説明写真

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        I have had several requests for help in preparing a C10 division. I hope that seeing photos of it being worked step by step along with some different words than what you might have read might help. The authors of the books on the market have done a great job - but sometimes you just need to see it from someone else to get it to click. (you can click on the photos for larger, more detailed views). If I may, I suggest that you read it through in its entirety before beginning to follow it step by step - I think that you will  find it more helpful to have an overview before beginning it.   Please note that you may download one copy of these page for personal use - all other reproducing without permission is protected.

        In response to questions I've had on it, there are several ways to work a C10 division, all perfectly acceptable in Japanese tradition. All three are published in Japanese books. One requires the Japanese V-ruler, which is available in Japan through the Temari Association (discussed elsewhere on the site), the other two are based on ruler measurements. Which ever way you are most comfortable with is just fine. The goal is to come out with 12 (or more when worked into deeper divisions that start off of a C10) equal, evenly spaced pentagons on the ball, and that is more important than the actual process that achieves it.
 
 

Wrap a mari and choose your marking thread. Locate the north and south poles and obi points. The more detailed and complex the division and pattern gets, the more you need to be accurate in your division and placing of pins and threads. Unless you have a perfect eye, I strongly urge you to measure your strip and divide by 5 to attain the best accuracy possible.

You will need five pairs of uniquely identified pins - either five different colors, sizes, tags or whatever to work the division, in addition to the pole pins.

Using the one-fifth distance that you calculated from the measurement of the strip length, fold the strip into fifths and then as whole together in  half again to get ten sections, and cut a small notch to mark the places. Note - even if you are not familiar with metric, I recommend that you measure in mm or cm, since then all you have to do is divide by ten and you have a working number - it is very easy to use the result rather than having to cope with tenths of inches if you measure and divide in inch units.

For example - for a ball that is 24.5cm in circumference, divide by 5 and you get 4.9 cm. Doing this in inches would not be easy - you end up with tenths of inches which are not represented on most rulers other than engineering rules. Fold the strip into five sections each 4.9 cm, then fold all in half to get ten equal divisions.

Wrap the strip around the obi and place marking pins at the ten section marks. Be sure to keep the pins in the center of the notch and along the top edge of the strip in order to accurately remain on the obi. Wrap the ten simple vertical marking lines, and tack at the north and south poles. Do not wrap the obi, but keep the obi pins in place. You can now remove the pole pins. I have kept them in only for demonstration/orientation purposes in these photos. When wrapping this division and the rest on the ball - it does not matter what side of the pin you choose to go on, but I suggest that you pick one and repeat that throughout the division.
Cut the marking strip exactly in half, or use a new strip that is exactly one half of the ball circumference. Divide this new strip into thirds. If you cannot eyeball it precisely, measure and calculate the one third amount and measure it off on the strip. Before folding and notching, ADD 1/100th OF THE BALL CIRCUMFERENCE to this amount. For example, if the ball circumference is 24.5 cm, you would add about 2.4 mm to the one-third amount. Then, fold and notch the strip. As D. Vandervoort says, "don't ask me why, but you have to" - and she is right.
Pick a line to start on. Choose on of the pin pairs. Place it the 1/3+1/100th distance from the north pole. Remove the obi pin from that line.
Move two threads to the right, and place a pin from another different pair the 1/3+1/100th distance from the pole. Remove the obi pin from that line.

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