Zana da'ira cikakkiya

Zana da'ira kewaye da ɗigon a bugun hannu ɗaya, ka ga zagayenta nan take. Kyauta ne, ba sai ka yi rajista ba.

Daga ƙungiyar HelibrainRobert(Turanci), ɗan takarar digiri na uku a fannin kimiyyar lissafi na halittu, ya duba shiAn wallafa An sake dubawa

Yadda za ka karanta makinka

  • Zagayenta: 100% a cire matsakaicin nisan da layinka ya kauce daga da'irar da ta fi dacewa, a matsayin kaso na radius ɗin da'irar. Layin da ke karkacewa da 2% a matsakaici yana samun maki 98%.
  • Launukan layinka: kore idan layin yana kan da'irar, ya koma rawaya, sannan ja idan ya kauce sosai.
  • Da'irar mai ɗigon-ɗigon layi: ita ce da'irar da ta fi dacewa da zanenka. Yayin da layinka ya fi manne da ita, makinka zai fi yawa.
  • Mafi kyawunka: makinka mafi girma a wannan burauzar, ana adana shi dabam don taɓawa da linzamin kwamfuta, domin yatsa da linzamin kwamfuta suna zana ta hanyoyi dabam sosai.
  • Alkibla: agogo ko akasin agogo. Yawancin mutane a Amurka suna zana akasin agogo; a Japan kuwa yawanci agogo [1].

Za ka iya zana da'ira cikakkiya da hannu?

Ba daidai ba, amma za ka iya kusantarta. Da'irar da aka zana da hannu tana ɗan karkacewa, domin hannu yana rage gudu ko ƙara shi yayin da yake bi ta lanƙwasar [2]. A tsarin makunanmu, layin da ya kauce daga da'irarsa da 2% a matsakaici yana samun maki 98%. Bisa ƙiyasin wani mai rubutun ra'ayin kansa, shahararriyar da'irar da wani malamin lissafi ɗan Kanada ya zana wadda ta bazu a intanet tana da zagaye kusan 99.7% [3].

Gajerun bayanai

  • Alkibla ta danganta da inda ka girma: cikin kusan zane 50,000 na Amurka a wasan Google's Quick, Draw!, an zana 86% na da'irorin akasin agogo; cikin kusan zane 800 na Japan, 80% na agogo ne [1].
  • Ɗabi'ar rubutu tana tasiri: yaran Japan suna yawan zana da'ira ta agogo yayin da suke ci gaba da karatu, yaran Amurka kuma suna yawan zana ta akasin agogo; yaran Japan da ke zaune a Amurka sun fi ƙarancin zana ta agogo [4].
  • Dokar saurin hannu: hannu yana tafiya a hankali a lanƙwasai masu matsewa, da sauri kuma a sassan da suka fi shimfiɗa («dokar ƙarfin kashi biyu bisa uku»). A da'ira lanƙwasar iri ɗaya ce ko'ina, don haka dokar tana hasashen sauri iri ɗaya [2][5].
  • Zakaran duniya: malamin lissafi da ya bayyana a bidiyon da'irar da ta bazu a intanet ya ce daga baya taken «zakaran duniya na zana da'ira da hannu kyauta» wasa ne da ya yi wa ɗalibansa [6].
  • Ba alamar lafiya ba ce: wani ra'ayi na shekarun 1970 cewa zana da'ira ta agogo alamar gargaɗi ce ta tabin hankali bai sami goyon baya a binciken da aka yi daga baya ba [7].

Yadda gwajin da'irar yake aiki

  1. Zana. Dora yatsanka (ko maɓallin linzamin kwamfuta) a ko'ina, ka zana da'ira ɗaya kewaye da ɗigon ba tare da ɗaga hannunka ba.
  2. Kalli yadda yake gudana. Da zarar ka zagaya wani ɓangare, zagayenta zai bayyana a tsakiya, launin layin kuma zai canza.
  3. Ɗaga hannu. Idan ka gama, da'irar da ta fi dacewa za ta bayyana da ɗigon-ɗigon layi, sannan a ƙididdige makinka.

Domin a ƙirga zanen, dole ya zagaya aƙalla 320°, ƙarshensa ya zo kusa da inda ya fara, ya isa girma (radius aƙalla 15% na faɗin wurin zane), kuma ya ɗauki ƙasa da daƙiƙa 30. Da'ira guda ɗaya kawai, don Allah. Muna daidaita da'ira da maki na zanenka ta hanyar ƙaramar jimillar murabba'ai, sannan mu auna matsakaicin nisansu da ita. Ana kwatanta da'irorin yatsa da na yatsa kawai.

Me ya sa zana da'ira cikakkiya yake da wuya?

Zana da'ira yana buƙatar kafada, gwiwar hannu, wuyan hannu da yatsu su yi aiki tare yayin da alkiblar motsi ke canzawa kullum. Hannunka kan ƙara gudu ko rage shi bisa lanƙwasar [2], kuma kowane canjin gudu na iya sa layi ya karkata waje ko ciki. A waya, yatsanka kuma yana rufe layin da kake zanawa. Linzamin kwamfuta yana motsa hannu baki ɗaya, shi ya sa maki kan bambanta tsakanin da'irorin linzamin kwamfuta da na yatsa.

Shawarwari don da'ira mai zagaye sosai

  • Zana babba, kana amfani da hannu baki ɗaya. Ƙananan da'irorin da yatsu kaɗai suka zana kan fi karkacewa.
  • Ka riƙe gudu iri ɗaya. Kada ka yi jinkiri sosai: zana a hankali ƙwarai kan sa hannu ya yi rawa.
  • Kalli ɗigon tsakiya, ba layi ba. Aikin gaba ɗaya shi ne ka riƙe tazara iri ɗaya daga tsakiya.
  • Rufe da'irar a hankali. Da'irori da yawa kan rasa maki a ƙarshe, inda mutane ke gaggawar kaiwa ga wurin farawa.

Abin da wannan gwaji zai iya gaya maka da wanda ba zai iya ba

Gwajin da'ira ƙalubale ne mai daɗi na sarrafa hannu. Makinka ya danganta da na'urarka, girman allonka, ko kana amfani da yatsa, alƙalami ko linzamin kwamfuta, da kuma atisaye. Ba gwajin likita ba ne, kuma ba gwajin rawar jiki ba ne; likitoci suna amfani da wasu ayyukan zane, kamar zanen karkace, don haka [8]. Alkiblar zane ba ta faɗin komai game da lafiyarka.

Tambayoyin da ake yawan yi

Shin za a iya zana da'ira cikakkiya da hannu?

Babu da'irar hannu da ta zama cikakkiya, amma mutane na iya kusantarta. A gwajin da'irar Helibrain, zagayenta 100% ne a cire matsakaicin karkacewar layinka; saboda haka layin da ya kauce da 2% a matsakaici yana samun maki 98%. Samun 100% daidai yana buƙatar layin da ba ya karkacewa ko kaɗan.

Yawancin mutane suna zana da'ira ta agogo ko akasin agogo?

Ya danganta da inda ka girma. A zane-zanen Google's Quick, Draw!, 86% na kusan da'irori 50,000 na Amurka an zana su akasin agogo, yayin da 80% na kusan da'irori 800 na Japan aka zana su ta agogo [1]. Ɗabi'ar rubutu tana da alama ta fi tasiri fiye da hannun da kake amfani da shi [4].

Yaya ake lissafa maki na zagayenta?

Gwajin da'irar Helibrain yana nemo da'irar da ta fi dacewa da dukkan maki na layinka (daidaitawa ta hanyar ƙaramar jimillar murabba'ai), sannan ya auna nisan kowane maki daga wannan da'irar. Matsakaicin nisan, a matsayin kaso na radius ɗin da'irar, shi ne karkacewarka; zagayenta kuma 100% ne a cire karkacewar. Siffar ƙwai, lanƙwasar ciki ko layin da ya rufe wani sashe kan rage maki.

Me ya sa makina ya bambanta a waya da kwamfuta?

Yatsa da linzamin kwamfuta suna amfani da tsokoki da motsi dabam-dabam, kuma allon waya ya fi ƙarami. Shi ya sa gwajin da'irar Helibrain ke ajiye mafi kyawun makinka dabam don taɓawa da linzamin kwamfuta, kuma yake kwatanta sakamako ne kawai tsakanin irin shigarwar iri ɗaya.

Ta yaya zan zana da'ira cikakkiya ba tare da fassara ba?

Riƙe hannunka a tsakiya, ka yi amfani da ɗan yatsanka ko wuyan hannunka a matsayin matattarar juyawa, sannan ka juya takarda ko hannunka kewaye da shi. Idan kana zana ba tare da na'ura ba, zana manyan da'irori da hannu baki ɗaya, cikin gudu iri ɗaya. Yi atisaye a gwajin, ka kalli launukan layinka don ganin inda ka kauce.

Shin gwajin da'irar Helibrain kyauta ne da gaske?

Ƙwarai kuwa. Gwajin da cikakken sakamakonsa kyauta ne: ba sai an yi rajista ba, babu imel, babu kuɗin biya. Helibrain na samun kuɗi daga manhajarsa, wadda ke da tsarin kyauta da na biyan kuɗi; ba sai ka sauke manhajar ba don yin gwajin.

Gwaje-gwaje masu alaƙa

Duba dukkan 43 gwaje-gwajen ƙwaƙwalwa kyauta

Kana son yin wannan kowace rana? Manhajar Helibrain (cikin Turanci a yanzu) tana da tsarin kyauta da tsare-tsaren biyan kuɗi.

Majiyoyi

  1. Sonnad N (2017). How do you draw a circle? We analyzed 100,000 drawings to show how culture shapes our instincts. Quartz, 15 June 2017 (nazarin bayanan Google's Quick, Draw!). qz.com/994486/the-way-you-draw-circles-says-a-lot-about-you/
  2. Lacquaniti F, Terzuolo C, Viviani P (1983). The law relating the kinematic and figural aspects of drawing movements. Acta Psychologica 54(1–3):115–130. doi.org/10.1016/0001-6918(83)90027-6
  3. Höhle M (2018). Judging freehand circle drawing competitions. Rubutun shafin yanar gizo, 31 July 2018. mhoehle.github.io/blog/2018/07/31/circle.html
  4. Amenomori Y, Kono A, Fournier J, Winer GA (1997). A cross-cultural developmental study of directional asymmetries in circle drawing. Journal of Cross-Cultural Psychology 28(6):730–742. doi.org/10.1177/0022022197286005
  5. Fraser DS, Di Luca M, Cook JL (2025). Biological kinematics: a detailed review of the velocity-curvature power law calculation. Experimental Brain Research 243(5):107. doi.org/10.1007/s00221-025-07065-0
  6. Wikipedia. Alexander Overwijk. en.wikipedia.org/wiki/Alexander_Overwijk (an duba 4 November 2026)
  7. Boake C, Salmon PG, Carbone CR (1983). Torque, lateral preference, and cognitive ability in primary-grade children. Journal of Abnormal Child Psychology 11(1):77–83. doi.org/10.1007/BF00912179
  8. Wang S, Schwirtlich T, et al. (2025). Clinical applications and measurement properties of the digitized Archimedes spiral drawing test: a scoping review. Movement Disorders Clinical Practice 12(11):1742–1755. doi.org/10.1002/mdc3.70278

Yadda muka ƙirƙiri wannan shafi: ƙungiyar Helibrain ce ta rubuta shi daga binciken da aka jera a sama, kuma Robert(Turanci) (ɗan takarar digiri na uku a fannin kimiyyar lissafi na halittu) ya duba shi a ranar 4 Nuwamba, 2026. Muna sabunta shi idan majiyoyin sun canja.