Phototaxis - Ranking

By Casey REAS

Background image: #162

Ranking

Shown below are the absolute statistical rankings of all the mints. The "Rarest" piece is often not visually rare looking or even that obvious as to why it's rare.

The absolute rarity takes into account all the traits, which can often include things like "starting angle" or "number of dots in the background." Traits where all the values are very spread out across all of the pieces.

Consider a drop with 100 pieces and 50 palettes. Because of the wide range of palettes, there will be a whole bunch of mints that are 1-of, 2-of and 3-of. But one palette isn't particularly rarer than another. But another feature of which only 4 are true, and the remaining 96 are false, is mathematically less rare than any of the palettes but is probably more desirable to a collector. But people have been asking for this, and who am I not to give the people what they want.

By rank

Rank id Rarity Links
1 555 0.000050392511074087199558%
2 887 0.000072198648968876334340%
3 172 0.000076399446567021125779%
4 353 0.000082531258795188403975%
5 64 0.000113140554993083206005%
6 31 0.000126092036895080237364%
7 800 0.000129825271901866498483%
8 599 0.000160338778505036174933%
9 978 0.000175361398766953936485%
10 966 0.000183678342390733846624%
11 768 0.000234765351351536467189%
12 518 0.000290625401644318528873%
13 710 0.000337477574772599721829%
14 196 0.000345104939469850541169%
15 231 0.000405344016594990871373%
16 213 0.000465872158047585694252%
17 627 0.000506321320973363454138%
18 49 0.000557136317154006358715%
19 332 0.000592740297012756748966%
20 308 0.000646827618575221093868%
21 623 0.000679730583020138269708%
22 206 0.000707813156853955125110%
23 668 0.000716542248124927205408%
24 698 0.000762949074929931579311%
25 305 0.000788556213229852330515%
26 495 0.000825917300047241949128%
27 740 0.000872978880618374827524%
28 955 0.000919136322326336496422%
29 180 0.001044630594663761759960%
30 576 0.001130989801826032216045%
31 68 0.001158254962084964050442%
32 562 0.001175858882088602142338%
33 912 0.001298838670045874979855%
34 211 0.001314195477361875495637%
35 688 0.001427687283542496739924%
36 437 0.001445877010051068193783%
37 23 0.001545685065653302006639%
38 906 0.001580221669465772457719%
39 788 0.001692890702497443959976%
40 833 0.001713428235553403084640%
41 544 0.001844068978648009992163%
42 368 0.001934141616769486943933%
43 583 0.001940488232792420735320%
44 780 0.001985340220229901090493%
45 513 0.001992523560631097919588%
46 328 0.002086091644241245407487%
47 399 0.002101853854010472463787%
48 507 0.002111457898685892373841%
49 731 0.002125239473553057999167%
50 153 0.002174923584300538122183%
51 79 0.002217070808830042243781%
52 337 0.002382307882978319975298%
53 850 0.002415827057114738884991%
54 124 0.002424957076125448546949%
55 917 0.002516365926023774162584%
56 486 0.002576697633044086523796%
57 786 0.002577037500577075788272%
58 500 0.002585618963220558032962%
59 862 0.002674477717683208626009%
60 776 0.002681125773132994605241%
61 216 0.002694782330221813602261%
62 969 0.002752117083222753446403%
63 737 0.002779544042453939781123%
64 909 0.002780251046120325517097%
65 624 0.002818615601058932235851%
66 736 0.002904039730665621075328%
67 84 0.002929816343568539087350%
68 899 0.003051247512858424118520%
69 16 0.003056711481384834488279%
70 959 0.003096639544372180134768%
71 733 0.003156343537492555060414%
72 357 0.003162848339340566285183%
73 91 0.003211458343642817261226%
74 751 0.003212677941662629536868%
75 127 0.003242057487384264469199%
76 582 0.003280642540519799338350%
77 784 0.003316110260524180505110%
78 24 0.003341917924124432164035%
79 483 0.003369850164233925259721%
80 392 0.003434587886145477973049%
81 401 0.003440575880453059821884%
82 431 0.003527865729592617044519%
83 974 0.003576917600986287415488%
84 440 0.003595589734099906460696%
85 980 0.003599090789622525019681%
86 888 0.003611677076520146325439%
87 953 0.003697783157925078022232%
88 250 0.003775236653539538415197%
89 594 0.003868494931638669954987%
90 647 0.003869674709388064813564%
91 869 0.003907136945384228655931%
92 769 0.003916329713067144904781%
93 288 0.004030450508631299062767%
94 525 0.004051845721139199670013%
95 207 0.004054258388997577892965%
96 806 0.004060241725965154334366%
97 160 0.004118951949279726909570%
98 298 0.004124645123336674774894%
99 816 0.004147749941525164310563%
100 326 0.004180438130197414343947%
101 757 0.004312548497675277973940%
102 630 0.004317186799410098647922%
103 658 0.004343694631614589130031%
104 52 0.004435100084936605471797%
105 360 0.004452342645748634010483%
106 893 0.004468025598775300644139%
107 504 0.004497343962918012687247%
108 1 0.004518261768115377705057%
109 344 0.004628788779967910570201%
110 120 0.004642377493391637924280%
111 229 0.004714037197196769245211%
112 758 0.004760311505692988928717%
113 570 0.004801545990513233011510%
114 713 0.004801785301140988268531%
115 447 0.004875223847672196034186%
116 323 0.004895919237133336716916%
117 939 0.004897835487091340041232%
118 212 0.004925061613544843945600%
119 597 0.004932179263121904549960%
120 346 0.004932179263121904549960%
121 441 0.004995425515014874015551%
122 775 0.005016570892839007297925%
123 817 0.005019474806307807311645%
124 63 0.005073658147074590341052%
125 39 0.005093920322432572006521%
126 70 0.005117851834454664738949%
127 331 0.005137383944800569084144%
128 508 0.005189868875979658860431%
129 572 0.005194529223926261027322%
130 596 0.005232520684519097707577%
131 471 0.005303474066067386666345%
132 378 0.005405898298861045413177%
133 349 0.005432043134335686786207%
134 830 0.005450837890808936207765%
135 697 0.005568795687327840991665%
136 496 0.005681600401995124012544%
137 591 0.005882605652601582968408%
138 141 0.005979836529824632609942%
139 142 0.006003064761429345586041%
140 468 0.006354843743604040098849%
141 530 0.006375292723879025583167%
142 450 0.006393518867852037573796%
143 687 0.006682656998572288585547%
144 173 0.006692195894457829592750%
145 847 0.006723288775735920819177%
146 371 0.006734267223869741698927%
147 914 0.006794036606517638889058%
148 561 0.006854341308896596575428%
149 854 0.006854430946444685542052%
150 797 0.006886011331358736498043%
151 168 0.006886011331358736498043%
152 102 0.006986506962900572610675%
153 895 0.007003853108844390086551%
154 309 0.007033985660565942633904%
155 799 0.007494616560202431269910%
156 177 0.007747720312441898349309%
157 28 0.007776818566049436935728%
158 481 0.007882513397754397840855%
159 851 0.007901365045591432142991%
160 890 0.007954690586330795051828%
161 493 0.007976338694623079025869%
162 926 0.008101999671262847743658%
163 666 0.008150097874002469600097%
164 503 0.008264479441022551733931%
165 714 0.008294858314678851124446%
166 824 0.008303873305587423231389%
167 474 0.008314198104563932240074%
168 603 0.008418772928812953346145%
169 602 0.008418772928812953346145%
170 147 0.008469975812278072307970%
171 803 0.008476009776179897758919%
172 50 0.008556835818470337126640%
173 272 0.008581197716883743817351%
174 894 0.008643038420765289386871%
175 931 0.008691236010991053306807%
176 204 0.008807063271363324563623%
177 705 0.008961537091059642787250%
178 380 0.009019662859701418899938%
179 866 0.009019662859701418899938%
180 439 0.009263503913878307419183%
181 75 0.009336065821049944341015%
182 375 0.009439939765526770068527%
183 452 0.009681846036644386338521%
184 950 0.009791384163592358608197%
185 691 0.010053653016434032155257%
186 925 0.010124537378441721829914%
187 921 0.010143186332287499815119%
188 681 0.010236446707641920494947%
189 145 0.010297377938044553410957%
190 117 0.010312202470166420900655%
191 976 0.010332554290388793610811%
192 846 0.010784827781265595922355%
193 634 0.010998753474565046983624%
194 857 0.011331603838204203082984%
195 913 0.011369278857573441102180%
196 677 0.011402591512930359760047%
197 612 0.011789730499894710696873%
198 682 0.011798308248425270344795%
199 760 0.011895296084476730813506%
200 704 0.011895296084476730813506%
201 69 0.012004089236256435327399%
202 22 0.012214741905589217643713%
203 128 0.012301458066885748166008%
204 653 0.012405017140440718903527%
205 625 0.012452183568941121993845%
206 303 0.012458387023386871886310%
207 590 0.012481157252836336604696%
208 203 0.012720580143500243366916%
209 88 0.012734751770371009055305%
210 189 0.012922726740635605627294%
211 109 0.012956146442453950196061%
212 381 0.013145409288866675631691%
213 373 0.013157024148315146425126%
214 836 0.013270234841058894947885%
215 300 0.013426436823176146964642%
216 444 0.013620816734811112130865%
217 362 0.013774070659494222490515%
218 539 0.013886163669146104823748%
219 167 0.013982515763299832242672%
220 26 0.014033958785145054029564%
221 157 0.014176421782111118738423%
222 5 0.014214634365109191441179%
223 389 0.014241345963661972140457%
224 479 0.014401703600273608671389%
225 38 0.014430168631688410074698%
226 586 0.014462839021789465968060%
227 388 0.014475549087685873200781%
228 792 0.014484848149739762077082%
229 4 0.014531778284777989787568%
230 408 0.014559231561839110560830%
231 342 0.014666460768547403756279%
232 460 0.014754048898467736483653%
233 832 0.014910686586197851796753%
234 261 0.015053354618496866262900%
235 637 0.015221887523654794791006%
236 750 0.015251024931669042439264%
237 554 0.015421709365603360544772%
238 330 0.015509092948629413233341%
239 234 0.015610886271033784858386%
240 922 0.015610886271033784858386%
241 566 0.015647384021193113529113%
242 856 0.015733358184067288559893%
243 743 0.015796298373604033410400%
244 521 0.015942617681970340515196%
245 265 0.016024716668957425524944%
246 501 0.016063772627728605674191%
247 489 0.016093835807330855725006%
248 686 0.016124642279898980523622%
249 515 0.016178965278605135502676%
250 589 0.016222055792581711181066%
251 313 0.016291736876736684358491%
252 935 0.016517002261537742230368%
253 428 0.016560722186142851075630%
254 821 0.016893409673321108793731%
255 952 0.016945120073502507179741%
256 831 0.016971622776876808119662%
257 430 0.017004807645481664901688%
258 930 0.017035223736239644282131%
259 659 0.017116626935735158865359%
260 40 0.017190150608517962976807%
261 285 0.017200562576472400166949%
262 301 0.017503828119940861851589%
263 849 0.017696304420315608213476%
264 215 0.017700504033031399381271%
265 338 0.017915779483632463670029%
266 260 0.017952197262685418155392%
267 994 0.018284645360142560283068%
268 9 0.018345317155316936269527%
269 118 0.018345317155316936269527%
270 804 0.018372723282483807705212%
271 277 0.018372723282483807705212%
272 805 0.018591231983033185831689%
273 852 0.018699245928631806623610%
274 970 0.018906600994374123808628%
275 485 0.018942009944977206831185%
276 613 0.019033788752402597960200%
277 795 0.019312041146276912734203%
278 871 0.019459904737224621718017%
279 908 0.019566471811295140653675%
280 292 0.019566471811295140653675%
281 11 0.019614437749971104507640%
282 556 0.019676419281112324938254%
283 700 0.019973260486406720082275%
284 898 0.019986573945173231880990%
285 12 0.020035820144022789546234%
286 762 0.020040797415947747550646%
287 534 0.020356695684898663128992%
288 169 0.020432986426903384374887%
289 434 0.020607241588491691242080%
290 672 0.020818514472694012173992%
291 114 0.020836302606189727876229%
292 522 0.020875170536295499512658%
293 601 0.020988857173463760369403%
294 280 0.021370472758435829496726%
295 588 0.021685427158561740301757%
296 170 0.021953299268027977320106%
297 809 0.022303070518373144248692%
298 100 0.022382915043710115143849%
299 77 0.022523427356388465991888%
300 0 0.022523427356388465991888%
301 255 0.022523427356388465991888%
302 511 0.022563440621237766670060%
303 334 0.022657495376366965089687%
304 808 0.023049290501867502473088%
305 478 0.023092291959358666325608%
306 635 0.023227553347246347736910%
307 796 0.023414891210718442871030%
308 416 0.023698027835442059263471%
309 616 0.023982524937038882106854%
310 455 0.024176696453988000962143%
311 982 0.024176696453988000962143%
312 472 0.024185418205955530601692%
313 729 0.024320605361452213993845%
314 502 0.024350643838761551474015%
315 197 0.024423326318233063575436%
316 981 0.024462247755802593585095%
317 842 0.024688235184095692897888%
318 10 0.024897457516164310520335%
319 55 0.024897457516164310520335%
320 281 0.025054394689106047194871%
321 592 0.025117792389679777925737%
322 426 0.025620223980929345691804%
323 36 0.025652283653277895003608%
324 67 0.025652283653277895003608%
325 351 0.025652283653277895003608%
326 144 0.025686935196167468703488%
327 839 0.025697006843827755601106%
328 465 0.026136289005226538001425%
329 574 0.026171594350812139168072%
330 194 0.026685174201254081849388%
331 520 0.027019445252957505210212%
332 48 0.027063868909988807870404%
333 56 0.027376099843147767842755%
334 224 0.027439781343269291358222%
335 467 0.027439781343269291358222%
336 845 0.027464796945746113021602%
337 113 0.027481746565470623056004%
338 406 0.027510707893920363642515%
339 267 0.028193296853390985984289%
340 665 0.028202672214438621184351%
341 911 0.028416088360041766303077%
342 80 0.028416088360041766303077%
343 27 0.028475244790185105098201%
344 585 0.028866420121403574966523%
345 382 0.028936125353553936168094%
346 979 0.029044543026809921393294%
347 499 0.029269611692266300773113%
348 610 0.029269965826390149238323%
349 295 0.029430779215969374990047%
350 957 0.029443835571386925420434%
351 529 0.029537709952400206109280%
352 115 0.030350265934565752445895%
353 907 0.030374492838706763225831%
354 725 0.030374492838706763225831%
355 289 0.030419432637546484077262%
356 155 0.030419432637546484077262%
357 975 0.030520808075820089755315%
358 232 0.030546171684016749925394%
359 790 0.030796026805359519307181%
360 778 0.031151314965341583840264%
361 990 0.031151314965341583840264%
362 106 0.031431876973605762937147%
363 395 0.031474349858068191576610%
364 956 0.031481569335642389795282%
365 678 0.031481569335642389795282%
366 593 0.031481569335642389795282%
367 165 0.031577681158592531274198%
368 773 0.031577681158592531274198%
369 901 0.031739075625065019115034%
370 754 0.032045504004090688554562%
371 949 0.032045504004090688554562%
372 962 0.032155851365596163637939%
373 104 0.032269117290216919879953%
374 997 0.032421317674019768662053%
375 377 0.032556579592929582589456%
376 34 0.032638939263425703618537%
377 707 0.033018421181560550503598%
378 791 0.033018421181560550503598%
379 227 0.033102763096693160749240%
380 138 0.033232374522760711743619%
381 867 0.033291816472394070158813%
382 249 0.033291816472394070158813%
383 600 0.033581333870264649943405%
384 929 0.033581333870264649943405%
385 116 0.033629873425663522890083%
386 720 0.033629873425663522890083%
387 685 0.033997820002192827293364%
388 268 0.034241325669766495276569%
389 573 0.034445143084467486072064%
390 421 0.034583761746988968266425%
391 770 0.034931492412839638961319%
392 565 0.034976504404053157526455%
393 611 0.035184697882648698075148%
394 660 0.035224201779340616469405%
395 20 0.035515297859114711154227%
396 639 0.035659331221943306455824%
397 135 0.035659331221943306455824%
398 563 0.035713039488568174006922%
399 722 0.036062672779860464877810%
400 449 0.036078121822476133528923%
401 614 0.036277331546407248774599%
402 271 0.036277331546407248774599%
403 352 0.036319689207534845698522%
404 548 0.036601403161095891203303%
405 579 0.036662429505002501473054%
406 781 0.036690716636029886699166%
407 654 0.036692384722148391196228%
408 423 0.036692384722148391196228%
409 258 0.036692384722148391196228%
410 105 0.037200166521656898022119%
411 394 0.037200166521656898022119%
412 218 0.037200166521656898022119%
413 812 0.037354173457927082602215%
414 587 0.037383270655856504216530%
415 947 0.037638044209231495684786%
416 427 0.037957010685580924724825%
417 553 0.038062966485962995699666%
418 662 0.038075806048338732556768%
419 532 0.038075806048338732556768%
420 315 0.038182945272995087726553%
421 412 0.038637521846729194763270%
422 538 0.038803751364588301431269%
423 387 0.038953831349065173861312%
424 71 0.038961121149901009608207%
425 237 0.039353031510557523464655%
426 684 0.039512628918087364104927%
427 671 0.039570218818003162486452%
428 262 0.039740461061327898850681%
429 794 0.039837763929809970331331%
430 488 0.039892827287403079261630%
431 154 0.040069636422067171632744%
432 270 0.040130284592685236400023%
433 93 0.040146714364956453957589%
434 991 0.040303000647966186198445%
435 506 0.040307044395661933977593%
436 225 0.040307044395661933977593%
437 721 0.040307044395661933977593%
438 904 0.041091711477910117245038%
439 82 0.041510576655359780751109%
440 60 0.041510576655359780751109%
441 97 0.041799916176656438937531%
442 126 0.041978266619557537409069%
443 992 0.042215070165870782759043%
444 718 0.042573988698446370293471%
445 541 0.042741507830822214608624%
446 533 0.042962294434108788676596%
447 878 0.042983791798217506341384%
448 841 0.042995921567910440341809%
449 214 0.043234127967818267168632%
450 785 0.043288228664906454323802%
451 403 0.043363699048959328252728%
452 458 0.043417657410622013947066%
453 985 0.043676095847590003240501%
454 185 0.043711135826602728893242%
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916 297 0.419208268170602971203209%
917 81 0.431721947817486628729000%
918 873 0.511261974976633171152685%
919 569 0.511261974976633171152685%
920 964 0.520908427334683010734295%
921 632 0.520908427334683010734295%
922 473 0.530554879692732628271301%
923 649 0.530554879692732628271301%
924 537 0.530554879692732628271301%