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treisaran — Circle Image of 12 and 144 (All Divisions) by-nc

Published: 2012-03-22 14:47:07 +0000 UTC; Views: 2737; Favourites: 1; Downloads: 58
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Description In this circle the divisions and subdivisions afforded by the useful dozen are provided a synoptic view. The circle is divided into 12 parts, which in turn are divided into 12 parts each.

The ticks are arranged as follows:

The long thick ticks divide the circle into 12 parts, as on the clock face: dozenal 0;1.

The medium thick ticks divide the 12ths into halves (or the circle into 24ths): dozenal 0;06.

The short thick ticks divide the 12ths into quarters (or the circle into 48ths): dozenal 0;03.

The long thin ticks divide the 12ths into thirds (or the circle into 36ths): dozenal 0;04.

The medium thin ticks divide the 12ths into sixths (or the circle into 72nds): dozenal 0;02.

The short thin ticks divide the 12ths into 12ths (or the circle into 144ths): dozenal 0;01.

Naturally, a tick is present only when it doesn't overlap with higher divisions, so for example the short thin ticks appear only for the first, fifth, seventh and evelenth parts (in other words, the totatives of the dozen, the numbers sharing no prime factor with 12).
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Comments: 4

Seejai11 [2025-04-24 06:22:25 +0000 UTC]

👍: 0 ⏩: 0

Cliff-Edge [2019-04-22 03:21:49 +0000 UTC]

That's just Gross

👍: 0 ⏩: 0

treisaran [2016-04-02 20:30:00 +0000 UTC]

I'm glad its useful. A pity, though, that as one of my earlier works, its lines are a bit too thick. But maybe it's an advantage in certain contexts...

👍: 0 ⏩: 0

Inkipolony [2016-03-29 07:04:25 +0000 UTC]

A handy visual aid for teaching fractions!

👍: 0 ⏩: 0