Research:Circle

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Enchantment levels

I've performed the following research to ascertain the distribution enchantment levels inside a magic circle:

Method

  • Start with a terrain room.
  • Verify that the terrain room has zero initial background enchantment.
  • Get a witch to create a circle.
  • Charge the circle by casting Hag's Blessing once.
  • Take 50 readings with a thaumometer. All readings performed by the same person, with the same stats.

Results

ma.sp.sp bonus ma.sp.mi bonus Min reading Average reading Max reading Std. dev Range
257 223 219 279 335 37 116
290 253 254 310 376 37 122
322 338 260 310 378 36 118
315 285 258 316 380 36 122
300 328 258 320 383 42 125
300 328 262 324 385 37 123
300 328 272 339 385 34 113
331 344 289 354 412 36 123
331 344 290 355 415 39 125
331 344 289 356 411 36 122
331 314 291 360 416 42 125

Other observations

  • The readings didn't change with time - the same distribution is present immediately after creating the circle and some time later.
  • The distributions are flat - that is, values were evenly distributed between the min and max.
  • I did a separate test involving creating a circle, charging it with Hag's Blessing, then smashing a 500-thaum thaum bomb inside. The readings duly went up by an average of 500 thaums (so, from ~290-400 to ~790-900 thaums).

Analysis

The average reading varies somewhat even for unchanging stats, however, it's pretty clear that the average is affected by the skills of the witch. Observe the consistently higher readings for 331/344 versus 300/328, for example.

There was a question of whether special or misc (or some combination of the two) was affecting the result, therefore, I added the final data set by keeping my special at 331 (bronze helm) while reducing misc to 314 (Dibhala's eggs). As can be seen, this did not affect the results significantly, therefore we can conclude that a witch's misc bonus does not affect the enchantment levels in the circle.

Based on a pure ma.sp.sp dependency and the available data, this gives the equation:

average thaums = 0.93 * ma.sp.sp bonus + 41

Or for an reasonably close equation with 'nicer numbers':

average thaums = 0.95 * ma.sp.sp bonus + 35

Observe that the variability of the readings was not related to skill levels - the range appears to be about 115 to 125 regardless of skils.

The thaum bomb test above indicates that enchantment does build up normally in addition to the baseline fluctuation inside a circle.

--Chat 22:12, 11 December 2009 (UTC)