Jamburani chidiringwa chakukwana makora

Jamburani chidiringwa kuzungulira kadoti mu kamodzimodzinji ndipo wonani umo chiliri chakuzunguliskika, apo mukujambura. Nchaulere, kwambura kulembeska.

Na gulu la HelibrainYawelereskeka na Robert(Chingelezi), uyo wakusambira digiri ya PhD ya sayansi ya physics ya viŵikiliYikafaliskika Yawelereskekaso paumaliro

Umo mungapulikiskira chiŵerengero chinu

  • Kuzunguliskika: 100% kuchotapo utali uwo mzere winu wasambirako pa chidiringwa icho chikukolerana nawo makora chomene, pa avereji, nga chigaŵa cha radius ya chidiringwa icho. Mzere uwo ukupindapinda na 2% pa avereji ukuŵa na chiŵerengero cha 98%.
  • Mitundu ya mzere winu: wakubiliŵira apo mzere uli pa chidiringwa, ukusinthira ku wachikasu, kufika ku wofiira apo wasambirako chomene.
  • Chidiringwa cha mizere yakudumaduma: ichi ndicho chidiringwa icho chikukolerana makora chomene na chijambuliro chinu. Para mzere winu uli pafupi nacho, chiŵerengero chinu chikuŵa chikuru.
  • Chiŵerengero chinu chapachanya chomene: ichi ndicho chiŵerengero chikuru chomene mu kasakatuli aka, ndipo chikusungika pa vyakujambulira vya kukhwaska na vya mbewa padera, chifukwa chala na mbewa vikujambura munthowa zakupambana chomene.
  • Uko mwazunguliskira: kulazga kumanjere kwa wachiŵerengero cha wachiŵiri panji kulazga ku manja. Ŵanthu ŵanandi ku US ŵakuzunguliska kulazga ku kumanjere; ku Japan ŵanandi ŵakuzunguliska kulazga ku manja [1].

Kasi mungajambura chidiringwa chakukwana makora na woko?

Yayi ndendende, kweni mungasendelera. Chidiringwa chakujambura na woko chikupindapinda pachoko, chifukwa woko likuchedwa na kwenda luŵiro apo likulondezga chipendeko cha chidiringwa [2]. Mu chiŵerengero chithu, mzere uwo wasambirako pa chidiringwa na 2% pa avereji ukuŵa na chiŵerengero cha 98%. Chidiringwa chakumanyikwa chomene icho msambizgi wa masamu wa ku Canada wakajambura na woko, pa chiŵerengero cha munthu munyake wakulemba blog, chili na kuzunguliskika kwa pafupifupi 99.7% [3].

Ivyo tikumanya mwaluŵiro

  • Uko munthu wakukulira nako kukupangiska umo wakuzunguliskira: pa vijambuliro pafupifupi 50,000 vya ku US mu mchezo wa Google wa Quick, Draw!, 86% ya vidiringwa vikajambulika kulazga ku kumanjere; pa vijambuliro pafupifupi 800 vya ku Japan, 80% vikajambulika kulazga ku manja [1].
  • Mikhaliro ya kulemba nayo yikupangiska umo munthu wakujambulira: ŵana ŵa ku Japan ŵakujambura vidiringwa vinandi kulazga ku manja apo ŵakwenda kusukulu, ndipo ŵa ku US ŵakujambura vinandi kulazga ku kumanjere. Ŵana ŵa ku Japan awo ŵakakhalanga ku US ŵakajambulanga vichoko kulazga ku manja [4].
  • Dango la luŵiro lwa woko: woko likwenda pachokopachoko pa vipendeko vyakuthwa ndipo mwaluŵiro chomene pa vigaŵa vyambawuka (ilo likuchemekaso “dango la vigaŵa viŵiri mwa vitatu”). Pa chidiringwa, chipendeko chili chakuyana kulikose, ntheura dango ili likulongora kuti luŵiro lingaŵa lakuyana [2][5].
  • “Munjoli wa charu chose”: msambizgi wa masamu uyo wakajambura chidiringwa chikumanyikwa pa vidiyo, pamanyuma wakati zina lake lakuti “munjoli wa charu chose wa kujambura vidiringwa na woko kwambura vyakukhozgera” likaŵa nthena waka lakusekeska ilo wakaphaliranga ŵana ŵake ŵasukulu [6].
  • Chizindikiro cha umoyo yayi: fundo yakale ya mu ma 1970 yakuti kujambura vidiringwa kulazga ku manja kukuchenjezga vya matenda gha maghanoghano, yikusangika kuti yilije ukaboni mu kafukufuku wakalondezgapo [7].

Umo chiyezgo cha chidiringwa chikugwilira ntchito

  1. Jamburani. Ikani chala chinu (panji batani la mbewa) palipose ndipo jamburani chidiringwa chimoza kuzungulira kadoti, kwambura kukwezga.
  2. Wonani apo chikuchitika. Para mwazunguliska chigaŵa chinyake, kuzunguliskika kukuwoneka pakati ndipo mtundu wa mzere ukusintha.
  3. Kwezani chala. Para mwamalizga, chidiringwa icho chikukolerana makora chomene chikuwoneka na mizere yakudumaduma ndipo chiŵerengero cha chijambuliro chinu chikuŵerengedwa.

Kuti chiŵerengereke, chijambuliro chikwenera kuzunguliska pafupifupi 320° panji kujumpha apa, kumalira pafupi na apo chikambira, kuŵa chikuru (radius yake yikwenera kuŵa pafupifupi 15% ya usani wa malo ghakujambulirapo) ndipo kutora masekondi ghakukwana yayi 30. Jamburani mzere umoza pera, chonde. Tikuyaniska vidoti vinu vyose na chidiringwa mwakugwiliskira ntchito nthowa ya least squares ndipo tikupima utali wa avereji kufuma pa chidiringwa. Vidiringwa vyajambulika na chala vikuyelezgereka na vyajambulika na chala pera.

Chifukwa wuli chidiringwa chakukwana makora ntchakusuzga?

Kujambura chidiringwa kukukhumbikwira kuti phewa, chigoloti, chiŵiya cha woko na vikumba vya minwe vigwilire ntchito pamoza apo uko mukulazga kukusintha nyengo zose. Woko linu likwenda mwaluŵiro panji pachokopachoko mwakuyana na chipendeko [2], ndipo kusintha kulikose kwa luŵiro kungapangiska kuti musambire kuwaro panji mukati. Pa foni, chala chinu chikubenekelera mzere uwo mukujambura. Mbewa yikwendeska woko lose, ntheura vidiringwa vya mbewa na vya chala vikuŵa na viŵerengero vyakupambana.

Nthowa zakovwira kujambura chidiringwa chakuzunguliskika makora

  • Jamburani chikuru ndipo mugwiliskire ntchito woko lose. Vidiringwa vichokovichoko vyakujambulika na minwe pera vikupindapinda chomene.
  • Endeskani na luŵiro lwakuyana. Mungajamburanga pachokopachoko chomene yayi: kujambura mwakuchedwa chomene kukupangiska kutenthema.
  • Loleskani kadoti ka pakati, osati pa mzere. Ntchito yinu nkhupwelelera mtunda wakuyana kufuma pakati.
  • Malizgani chipendeko mwakufwasa. Vidiringwa vinandi vikutaya vimanyikwiro paumaliro, apo ŵanthu ŵakuchimbilira kukumana na pakwambira.

Ivyo chiyezgo ichi chingamuphalirani na ivyo chingamuphalira yayi

Chiyezgo cha chidiringwa ni ntchito yakusekeska yakupima umo mungalamulilira woko. Chiŵerengero chinu chikupambana kuyana na chipangizo chinu, usani wa sikirini, usange mukugwiliskira ntchito chala, cholembera panji mbewa, kweniso umo mwazgoŵera. Ichi ntchiyezgo cha vya mankhwala yayi panji cha kutenthema kwa woko; madokotala ŵakugwiliskira ntchito ntchito zinyake zakujambura, nga vidiringwa vyakuzungulirana [8]. Uko mukuzunguliskira pakujambura vikumuphalirani chilichose yayi pa umoyo winu.

Mafumbo agho ŵanthu ŵakufumba kanandi

Kasi vingachitika kujambura chidiringwa chakukwana makora na woko?

Palije chidiringwa chakujambulika na woko icho chili chakuzunguliskika mwakukwana, kweni ŵanthu ŵakusendelera. Pa chiyezgo cha vidiringwa cha Helibrain, kuzunguliskika ni 100% kuchotapo kupindapinda kwa avereji kwa mzere winu, ntheura mzere uwo wasambirako na 2% pa avereji ukuŵa na chiŵerengero cha 98%. Kuti mufike ndendende pa 100%, mzere winu ukwenera kuleka kupindapinda nadi.

Kasi ŵanthu ŵanandi ŵakuzunguliska vidiringwa kulazga ku manja panji ku kumanjere?

Vikuthemba uko mwakulira. Mu vijambuliro vya mchezo wa Google wa Quick, Draw!, 86% ya vidiringwa pafupifupi 50,000 vya ku US vikajambulika kulazga ku kumanjere, apo 80% ya vidiringwa pafupifupi 800 vya ku Japan vikajambulika kulazga ku manja [1]. Mikhaliro ya kulemba yikuwoneka kuti njakuzirwa chomene kuluska woko ilo mukugwiliskira ntchito [4].

Kasi chiŵerengero chane cha kuzunguliskika chikuŵerengedwa wuli?

Chiyezgo cha vidiringwa cha Helibrain chikupima chidiringwa icho chikukolerana makora chomene na vidoti vyose vya mzere winu (kuyezga kwa least squares), ndipo chikupima utali wa vidoti vyose kufuma pa chidiringwa icho. Utali wa avereji, kuyana na radius ya chidiringwa, ndiwo ukupima kupindapinda kwinu; kuzunguliskika ni 100% kuchotapo kupindapinda uku. Chidiringwa cha chizenga, malo ghakunthika panji mizere yakujumphana vyose vikuchepeska chiŵerengero ichi.

Chifukwa wuli chiŵerengero chane pa foni na pa kompyuta chikupambana?

Chala na mbewa vikugwiliskira ntchito minofu yakupambana na kayendedwe kakupambana, ndipo sikirini ya foni njichoko. Lekani chiyezgo cha vidiringwa cha Helibrain chikusunga padera chiŵerengero chinu chapachanya chomene cha kukhwaska na cha mbewa, ndipo chikuyaniska vyakufumapo vya mtundu wakuyana wa chakunjizgira pera.

Kasi ningajambura wuli chidiringwa chakukwana makora kwambura kampasi?

Khozgerani woko linu pakati, pakugwiliskira ntchito chala chinu chichoko panji chiŵiya cha woko nga malo ghakuzungulirapo, ndipo zunguliskani pepala panji woko linu. Para mukujambura kwambura chakukhozgera, jamburani vidiringwa vikuru na woko lose kweniso na luŵiro lwakuyana. Yezgani pa chiyezgo ichi ndipo wonani mitundu ya mzere winu kuti mumanye uko mukusambirako.

Kasi chiyezgo cha vidiringwa cha Helibrain ntchaulere nadi?

Enya. Chiyezgo na vyakufumapo vyinu vyose ni vyaulere: palije kulembeska, imelo panji kulipira. Helibrain yikusanga ndalama kufuma mu app yake, iyo yili na mapulani ghaulere na ghakulipira; mukukhumbikwira yayi app kuti muchite chiyezgo ichi.

Mayezgo ghanyake

Wonani mayezgo ghose gha wongo ghaulere 43

Mukukhumba kuchita ivi zuŵa lililose? App ya Helibrain (yili mu Chingelezi pera sono) yili na pulani yaulere na mapulani ghakulipilira.

Zunurani peji ili: Jamburani chidiringwa chakukwana makora. Helibrain. 2026. https://helibrain.com/tum/draw-a-perfect-circle. CC BY 4.0.

How this test works

This game tests how steady and even your hand is. Put your finger or the mouse button down and draw one circle around the dot in a single stroke. When you lift, we fit the best circle to your line and measure how far your line strays from it, on average. Your roundness score is 100% minus that average wobble, so a line that wobbles by 2% scores 98%. Motor-control labs have measured hand-drawn curves like this since the 1980s.

Version 1 · Cite this test:

Helibrain (2026). Draw a perfect circle, v1. https://helibrain.com/draw-a-perfect-circle/methods

Full method →

Vyakufumapo vya kafukufuku

  1. Sonnad N (2017). Kasi mungajambura wuli chidiringwa? Tikasanda vijambuliro 100,000 kuti tilongore umo chikhalidwe chikupangiskira umo tikujambulira. Quartz, 15 Juni 2017 (kusanda kwa data ya Quick, Draw! ya Google). qz.com/994486/the-way-you-draw-circles-says-a-lot-about-you/
  2. Lacquaniti F, Terzuolo C, Viviani P (1983). Dango lakukoleraniska kayendedwe na kawonekero ka vijambuliro. Acta Psychologica 54(1–3):115–130. doi.org/10.1016/0001-6918(83)90027-6
  3. Höhle M (2018). Kuyelezgera vyakujambura vidiringwa na woko pa mipikisano. Nkhani ya pa blog, 31 Julayi 2018. mhoehle.github.io/blog/2018/07/31/circle.html
  4. Amenomori Y, Kono A, Fournier J, Winer GA (1997). Kafukufuku wakukoleraniska vyakukulira mu vikhalidwe vyakupambana pa kusintha kwa uko munthu wakuzunguliskira vidiringwa. Journal of Cross-Cultural Psychology 28(6):730–742. doi.org/10.1177/0022022197286005
  5. Fraser DS, Di Luca M, Cook JL (2025). Kayendedwe ka thupi: kuweleramo mwakudunjika kuŵerengera dango la nkhongono ya luŵiro na chipendeko. Experimental Brain Research 243(5):107. doi.org/10.1007/s00221-025-07065-0
  6. Wikipedia. Alexander Overwijk. en.wikipedia.org/wiki/Alexander_Overwijk (yapimika pa 4 Novembala 2026)
  7. Boake C, Salmon PG, Carbone CR (1983). Kuzunguliska, kutemwa kugwiliskira ntchito woko limoza, na luso la kughanaghana mwa ŵana ŵa sukulu za pulayimale. Journal of Abnormal Child Psychology 11(1):77–83. doi.org/10.1007/BF00912179
  8. Wang S, Schwirtlich T, na ŵanyake (2025). Ntchito za chipatala na umo vingapimira chiyezgo chakujambura chidiringwa cha Archimedes chakudijitisika: kuweleramo kwa kafukufuku. Movement Disorders Clinical Practice 12(11):1742–1755. doi.org/10.1002/mdc3.70278

Umo peji ili likapangikira: gulu la Helibrain likalemba kufuma mu kafukufuku uyo walongosoreka pachanya, ndipo Robert(Chingelezi) (uyo wakusambira digiri ya PhD ya sayansi ya physics ya viŵikili) wakaliwelereskaso pa 11/4/2026. Tikulisintha para ivyo vyagwiliskirika ntchito vyasintha.