Hovering Sombrero: Difference between revisions

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__NOTOC__
{{familiar
{{Familiar|famid=18|name=Hovering Sombrero|image=familiar18.gif|H1=Airborne headgear? ¡Sí!|H2=Almost seems to grin at you...|H3=''Qué Misterioso.''|function=Increases [[stat]] gains in battle, depending on [[Monster Level|enemy level]]|hatchling=hovering sombrero|equipment=tiny maracas|ArenaStrong=Scavenger Hunt|ArenaWeak=Ultimate Cage Match}}
|famid=18
|name=Hovering Sombrero
|H1=Airborne headgear? ¡Sí!
|H2=Almost seems to grin at you...
|H3=''Qué Misterioso.''
|ability=Gives you more stats after combat
|function=Increases [[stat]] gains in battle, depending on [[Monster Level|enemy level]]
|throne=+2 Mysticality Stats Per Fight, sometimes deals 15-25 {{element|Spooky}}.
|hatchling=hovering sombrero
|equipment=tiny maracas
|ucm=0
|sh=3
|oc=2
|hns=1
|hands=0
|wings=0
|animal=0
|clothes=0
|eyes=0
|mechanical=0
|sleaze=0
|undead=1
|hot=0
|biting=0
|quick=0
|flying=0
|evil=0
|bug=0}}


*Regular message:  
*Regular message:  
:<name> bends its brim into an approximation of a smile.
*:<name> bends its brim into an approximation of a smile.
 
*Enthroned in the [[Crown of Thrones]]:
*:<Name> passes through your opponent, freaking <him> out and dealing {{element|Spooky|dmg=15-25}} damage.
*Bjornified in the [[Buddy Bjorn]]:
*:<Name> flies out of its Buddy Bjorn, and attempts to settle on top of your opponent's head. <He> is understandably a little disturbed by this, and (less-understandably) takes {{element|Spooky|dmg=15-25}} damage.
*With [[lucky Tam O'Shanter]] equipped:
*With [[lucky Tam O'Shanter]] equipped:
:<name> hovers even more vigorously than usual, and some extra Meat materializes.
*:<name> hovers even more vigorously than usual, and some extra Meat materializes.
 
*With [[miniature gravy-covered maypole]] equipped:
*With [[miniature gravy-covered maypole]] equipped:
:<name> baila una baila tradicional de su gente. (''Translation:'' It dances a traditional dance of its people.)
*:<name> baila una baila tradicional de su gente. (''Translation:'' It dances a traditional dance of its people.)
 
*With [[wax lips]] equipped:<br>
*With [[wax lips]] equipped:<br>
:<name> hace una sonrisa brillante con sus labios de cera. (''Translation:'' It makes a brilliant smile with its lips of wax.)
*:<name> hace una sonrisa brillante con sus labios de cera. (''Translation:'' It makes a brilliant smile with its lips of wax.)


==Arena Messages==
==Arena Messages==
*When entered in an Ultimate Cage Match:
*When entered in an Ultimate Cage Match:
:<name> cannot fight. <name> can only hover. Hover on, <name>!
*:<name> cannot fight. <name> can only hover. Hover on, <name>!


==Notes==
==Notes==
*[[Sombrero vs Volleyball]] contains information about when sombrero- and volleyball-type familiars are best for stat gains based on familiar weights and monster level.
*The sombrero increases stat gains after combat by 0.025 &times; [[Monster Level|ML]] &times; (1 + 0.05 * weight), capped at 230 stats. It will always give at least 1 stat.
*The sombrero gives a bonus of approximately sqrt(monster level * sombrero weight) / 10.
*[[Sombrero vs. Volleyball]] contains further information about when sombrero- and volleyball-type familiars are best for stat gains based on familiar weights and monster level.
* Currently, the point where a Hovering Sombrero breaks even with a Volleyball of equal weight is thought to be monster level 100.
*In terms of boosting stat gains via familiar equipment, the sombrero can be outfitted with [[wax lips]] (+3 XP), a [[lead necklace]] (+3 lbs), [[tiny maracas]] (+5 lbs), or an [[annoying pitchfork]] (+5 ML; +1.25 XP). Given an outfit configuration that lacks familiar equipment, and letting the effective weight of the sombrero be ''s'' and the effective monster level be ''m'' for that configuration, the stat gains from a fight ''with'' equipment are functions of <span title="S&M... huh huh">''s'' and  ''m''</span>:
**''W''(''s'', ''m'') = (''sm'')<sup>1/2</sup>/10 + 3 for the wax lips
**''P''(''s'', ''m'') = (''s''(''m'' + ''5''))<sup>1/2</sup>/10 + 1.25 for the pitchfork
**''F''(''s'', ''m'') = ((''s'' + 5)''m'')<sup>1/2</sup>/10 for the familiar equipment
**''L''(''s'', ''m'') = ((''s'' + 3)''m'')<sup>1/2</sup>/10 for the lead necklace
*If ''s'' is held fixed while ''m'' is varied, the [[Wikipedia:partial derivative|partial derivative]]s of the functions above show that as monster level gets big enough, the best equipment will be the maracas, followed by the lead necklace, the wax lips, and the pitchfork:
**''F<sub>m</sub>''(''s'', ''m'') = (''s'' + 5)<sup>1/2</sup>/(20''m''<sup>1/2</sup>)
**''L<sub>m</sub>''(''s'', ''m'') = (''s'' + 3)<sup>1/2</sup>/(20''m''<sup>1/2</sup>)
**''W<sub>m</sub>''(''s'', ''m'') = ''s''<sup>1/2</sup>/(20''m''<sup>1/2</sup>)
**''P<sub>m</sub>''(''s'', ''m'') = ''s''<sup>1/2</sup>/(20(''m'' + 5)<sup>1/2</sup>)
*In practice, the break-even monster level for comparing the equipment can be calculated as a multiple of ''s'', say ''m''<sup>*</sup> = ''cs''. Some rudimentary algebra coupled with judicious applications of the quadratic formula show that:
:*The pitchfork is better than the wax lips only when ''s'' > 62.5 and ''c'' < 1/49; essentially not in any situation where one would be grinding stats.
:*For the maracas to break even with the pitchfork, ''m'' must be approximately 78 times (1 lb) to 28 times (60 lb) as much as ''s'', with larger ''m'' reinforcing the maracas' advantage.
{| align="center" border="1px" cellspacing="0" cellpadding="3" style="text-align:right"
|-
!''s''
|1
|5
|10
|15
|20
|40
|60
|80
|100
|-
!''c''
|77.73
|38.79
|33.11
|31.13
|30.11
|28.56
|28.03
|27.77
|27.61
|-
!''m''<sup>*</sup>
|78
|194
|332
|467
|603
|1143
|1683
|2222
|2761
|-
|}
:*For the maracas to break even with the lips, the monster level must be at least 147 times the sombrero's weight, with larger ''m'' reinforcing the maracas' advantage.
{| align="center" border="1px" cellspacing="0" cellpadding="3" style="text-align:right"
|-
!''s''
|1
|5
|10
|15
|20
|40
|60
|80
|100
|-
!''c''
|428.36
|209.82
|178.18
|167.14
|161.5
|152.87
|149.94
|148.47
|147.58
|-
!''m''<sup>*</sup>
|429
|1050
|1782
|2508
|3230
|6115
|8997
|11878
|14758
|-
|}
:*Thus, for almost all situations (except for highly [[Special Monsters|scalable monsters]]), the wax lips are best, followed by the pitchfork, the maracas, and the lead necklace.


==History==
==History==
*Before [[NS13]], the best approximation for sombrero stat gain was: (sqrt(monster level) * weight * 3) / 100
*Before NS13, a Hovering Sombrero would have beaten a Volleyball of the same weight at monster level 70.   
*Before NS13, a Hovering Sombrero would have beaten a Volleyball of the same weight at monster level 70.   
*Before NS13, [[tiny maracas]] typically gave better stat gain than [[annoying pitchfork]] at [[Monster Level]]s above 50. A [[lead necklace]] was only superior to an [[annoying pitchfork]] from the [[The Castle in the Clouds in the Sky]] onwards. See [[annoying pitchfork]] for details.
*Before [[South of The Border]] was implemented, the Hovering Sombrero was Jick's seldom-seen personal familiar.
*Before [[South of The Border]] was implemented, the Hovering Sombrero was Jick's seldom-seen personal familiar.
*On May 14, 2014 the sombrero's stat gain formula was changed.  The previous formula (in place since [[NS13]]) was &radic;(weight) &times; (1 + &radic;([[Monster Level|ML]] - 4)) / 10.
*The sombero's post-combat message showing how many stats it gave was also added on May 14, 2014.


==References==
==References==
*This is a direct reference to the [[Wikipedia:They_Might_Be_Giants|They Might Be Giants]] song [[tmbw:Hovering Sombrero|Hovering Sombrero]].
*This is a direct reference to the [[Wikipedia:They Might Be Giants|They Might Be Giants]] song "[[tmbw:Hovering Sombrero|Hovering Sombrero]]".


==See Also==
==See Also==
*[[Stat Gains from Fights]]
*[[Stat Gains from Fights]]


[[Category:Familiars]]
[[Category:Undead Familiars]]

Latest revision as of 09:00, 13 August 2018

Hovering Sombrero

Airborne headgear? ¡Sí!
Almost seems to grin at you...
Qué Misterioso.

Gives you more stats after combat


Ability: Increases stat gains in battle, depending on enemy level

Throne/Bjorn: +2 Mysticality Stats Per Fight, sometimes deals 15-25 Spooky Damage.

Hatchling: hovering sombrero

Familiar-Specific Equipment: tiny maracas

Ultimate Cage Match Scavenger Hunt Obstacle Course Hide and Seek

Mumming Trunk Abilities:

+15% Meat Drop 4-5 MP +3 Muscle statgain +15% Item Drop +3 Mysticality statgain 8-10 HP +2 Moxie statgain
Delevel 25%*
*Hover for details
Cannot breathe underwater
Combat Messages
  • Regular message:
    <name> bends its brim into an approximation of a smile.
  • Enthroned in the Crown of Thrones:
    <Name> passes through your opponent, freaking <him> out and dealing 15-25 damage.
  • Bjornified in the Buddy Bjorn:
    <Name> flies out of its Buddy Bjorn, and attempts to settle on top of your opponent's head. <He> is understandably a little disturbed by this, and (less-understandably) takes 15-25 damage.
  • With lucky Tam O'Shanter equipped:
    <name> hovers even more vigorously than usual, and some extra Meat materializes.
  • With miniature gravy-covered maypole equipped:
    <name> baila una baila tradicional de su gente. (Translation: It dances a traditional dance of its people.)
  • With wax lips equipped:
    <name> hace una sonrisa brillante con sus labios de cera. (Translation: It makes a brilliant smile with its lips of wax.)

Arena Messages

  • When entered in an Ultimate Cage Match:
    <name> cannot fight. <name> can only hover. Hover on, <name>!

Notes

  • The sombrero increases stat gains after combat by 0.025 × ML × (1 + 0.05 * weight), capped at 230 stats. It will always give at least 1 stat.
  • Sombrero vs. Volleyball contains further information about when sombrero- and volleyball-type familiars are best for stat gains based on familiar weights and monster level.

History

  • Before NS13, a Hovering Sombrero would have beaten a Volleyball of the same weight at monster level 70.
  • Before South of The Border was implemented, the Hovering Sombrero was Jick's seldom-seen personal familiar.
  • On May 14, 2014 the sombrero's stat gain formula was changed. The previous formula (in place since NS13) was √(weight) × (1 + √(ML - 4)) / 10.
  • The sombero's post-combat message showing how many stats it gave was also added on May 14, 2014.

References

See Also