The superformula is a generalization of the superellipse and was first proposed by Johan Gielis in 2003. Gielis suggested that the formula can be used to describe many complex shapes and curves that are found in nature.
In polar coordinates, with the radius and the angle, the superformula is:
By choosing different values for the parameters , different shapes can be generated.
The formula was obtained by generalizing the superellipse, named and popularized by Piet Hein, a Danishmathematician.
Extension to higher dimensions
It is possible to extend the formula to 3, 4, or n dimensions, by means of the spherical product of superformulas. For example, the 3Dparametric surface is obtained by multiplying two superformulas r1 and r2. The coordinates are defined by the relations:
where (latitude) varies between −π/2 and π/2 and θ (longitude) between −π and π.
Plots
A GNU Octave program for generating these figures:
3D superformula: a = b = 1; m, n1, n2 and n3 are shown in the pictures.
Super Formula, formerly known as Formula Nippon, is a type of formula racing and the top level of single-seater racing in Japan.
Formula Nippon evolved from the Japanese Formula 2000 series begun in 1973 by way of the Japanese Formula Two and Japanese Formula 3000 championships. For the most part, the Japanese racing series have closely followed their European counterparts in terms of technical regulations, but there have been some important exceptions.
History
When European Formula 2 ended in 1984, its Japanese counterpart did not follow suit, continuing to use Formula 2 regulations (with almost-exclusively 2.0L Honda engines) for another three years, finally switching to the open Formula 3000 standard in 1987. Once again, Japanese and European regulations paralleled one another, until 1996, when the International Formula 3000 series became a one-make format to lower costs. The Japanese Formula broke away at this time, and made it official by changing the series name to Formula Nippon.
😳 Is this normal? 🤣 Catch all the full race action from final #SuperFormula race at #Suzuka 🇯🇵 now available on Motorsport.tv!
Just follow the link: https://bcp.crwdcntrl.net/5/c=13030/b=71114249?https://motorsport.tv/motorsporttv/video/round-7-suzuka-ii-race/15766
published: 28 Oct 2019
The Fastest SUPER FORMULA vs The Fastest INDYCAR
The fastest IndyCar of all time vs the fastest Super Formula!
Leave a like if you enjoyed the video and subscribe for more simulations!!
Check out JUST SIMRACING: @JUSTSIMRACINGYT
The physics of some models may have been modified to replicate real-life performance as close as possible.
#IndyCar #CART #SuperFormula
Pole Lap Onboard Tomoki NOJIRI 野尻 智紀 | 2022 SUPER FORMULA Rd.5 SUGO
スーパーフォーミュラ オフィシャル
SUPER FORMULA Official
Membership(メンバーになる):https://www.youtube.com/c/superformulavideo/join
Official HP : https://superformula.net/
Official Twitter : https://twitter.com/SUPER_FORMULA
Official Facebook : https://www.facebook.com/superformula.official
Official Instagram : https://www.instagram.com/superformula_official/
published: 19 Jun 2022
Super Formula Arrives in Bangkok: The World's Fastest Racecar Outside Formula 1 Explained In Detail!
Super Formula Arrives in Bangkok: The Fastest Racecar Outside Formula 1 Explained In Detail!
With thanks for Yokohama and B-Quik Absolute Racing.
More here:
Facebook: https://www.facebook.com/RacingNewsThailand
Instagram: @eddellison
Twitter: edd_ellison
#SuperFormula #Japan #F1
published: 15 Jan 2023
My First Race in the Super Formula Lights!
Finally out of the trenches!
Be sure to like and Subscribe to my channel for more content!
Road To 10K!
Discord: https://discord.gg/J5YfQxEvCr
Monoposto Liveries: https://drive.google.com/drive/folders/1KSmUgoeNaLFf_Gp-bvCGaIJ3NO7pM88J
Ala Mobile discord: https://discord.gg/8DfyhQ5Qcp
Cammus Racing website: https://cammusracing.com
published: 07 Aug 2024
F1 vs Super Formula - How Do They Compare?
Formula One and Super Formula are two of the world’s fastest single seater racing championships. Super Formula is Japan’s top tier series whereas F1 is an international series governed by the FIA.
Watch this video for an in-depth comparison of both series!
Timestamps:
Intro - 00:00
Cars - 00:20
Parts Usage - 02:50
Overtaking Aids - 03:13
Circuits - 03:58
Race Weekend - 04:41
Tyres & Pitstops - 05:54
Championship & Points - 06:53
Teams - 08:15
Credits:
https://www.formula1.com/content/dam/fom-website/manual/Misc/2020/Car-launches/Mercedes/M226298.jpg
https://danticktum.com/wp-content/uploads/2019/04/AP-1Z3RC5CZ51W11_news.jpg
https://cdn.wallpapersafari.com/68/62/oJcPkh.jpg
https://cimg1.ibsrv.net/ibimg/hgm/1920x1080-1/100/739/2020-mclaren-mcl35-formula-one-race-car_100739569.jpg
https://i...
😳 Is this normal? 🤣 Catch all the full race action from final #SuperFormula race at #Suzuka 🇯🇵 now available on Motorsport.tv!
Just follow the link: https://...
😳 Is this normal? 🤣 Catch all the full race action from final #SuperFormula race at #Suzuka 🇯🇵 now available on Motorsport.tv!
Just follow the link: https://bcp.crwdcntrl.net/5/c=13030/b=71114249?https://motorsport.tv/motorsporttv/video/round-7-suzuka-ii-race/15766
😳 Is this normal? 🤣 Catch all the full race action from final #SuperFormula race at #Suzuka 🇯🇵 now available on Motorsport.tv!
Just follow the link: https://bcp.crwdcntrl.net/5/c=13030/b=71114249?https://motorsport.tv/motorsporttv/video/round-7-suzuka-ii-race/15766
The fastest IndyCar of all time vs the fastest Super Formula!
Leave a like if you enjoyed the video and subscribe for more simulations!!
Check out JUST SIMRAC...
The fastest IndyCar of all time vs the fastest Super Formula!
Leave a like if you enjoyed the video and subscribe for more simulations!!
Check out JUST SIMRACING: @JUSTSIMRACINGYT
The physics of some models may have been modified to replicate real-life performance as close as possible.
#IndyCar #CART #SuperFormula
The fastest IndyCar of all time vs the fastest Super Formula!
Leave a like if you enjoyed the video and subscribe for more simulations!!
Check out JUST SIMRACING: @JUSTSIMRACINGYT
The physics of some models may have been modified to replicate real-life performance as close as possible.
#IndyCar #CART #SuperFormula
スーパーフォーミュラ オフィシャル
SUPER FORMULA Official
Membership(メンバーになる):https://www.youtube.com/c/superformulavideo/join
Official HP : https://superformula.net/
Official T...
スーパーフォーミュラ オフィシャル
SUPER FORMULA Official
Membership(メンバーになる):https://www.youtube.com/c/superformulavideo/join
Official HP : https://superformula.net/
Official Twitter : https://twitter.com/SUPER_FORMULA
Official Facebook : https://www.facebook.com/superformula.official
Official Instagram : https://www.instagram.com/superformula_official/
スーパーフォーミュラ オフィシャル
SUPER FORMULA Official
Membership(メンバーになる):https://www.youtube.com/c/superformulavideo/join
Official HP : https://superformula.net/
Official Twitter : https://twitter.com/SUPER_FORMULA
Official Facebook : https://www.facebook.com/superformula.official
Official Instagram : https://www.instagram.com/superformula_official/
Super Formula Arrives in Bangkok: The Fastest Racecar Outside Formula 1 Explained In Detail!
With thanks for Yokohama and B-Quik Absolute Racing.
More here:
F...
Super Formula Arrives in Bangkok: The Fastest Racecar Outside Formula 1 Explained In Detail!
With thanks for Yokohama and B-Quik Absolute Racing.
More here:
Facebook: https://www.facebook.com/RacingNewsThailand
Instagram: @eddellison
Twitter: edd_ellison
#SuperFormula #Japan #F1
Super Formula Arrives in Bangkok: The Fastest Racecar Outside Formula 1 Explained In Detail!
With thanks for Yokohama and B-Quik Absolute Racing.
More here:
Facebook: https://www.facebook.com/RacingNewsThailand
Instagram: @eddellison
Twitter: edd_ellison
#SuperFormula #Japan #F1
Finally out of the trenches!
Be sure to like and Subscribe to my channel for more content!
Road To 10K!
Discord: https://discord.gg/J5YfQxEvCr
Monoposto Liverie...
Finally out of the trenches!
Be sure to like and Subscribe to my channel for more content!
Road To 10K!
Discord: https://discord.gg/J5YfQxEvCr
Monoposto Liveries: https://drive.google.com/drive/folders/1KSmUgoeNaLFf_Gp-bvCGaIJ3NO7pM88J
Ala Mobile discord: https://discord.gg/8DfyhQ5Qcp
Cammus Racing website: https://cammusracing.com
Finally out of the trenches!
Be sure to like and Subscribe to my channel for more content!
Road To 10K!
Discord: https://discord.gg/J5YfQxEvCr
Monoposto Liveries: https://drive.google.com/drive/folders/1KSmUgoeNaLFf_Gp-bvCGaIJ3NO7pM88J
Ala Mobile discord: https://discord.gg/8DfyhQ5Qcp
Cammus Racing website: https://cammusracing.com
Formula One and Super Formula are two of the world’s fastest single seater racing championships. Super Formula is Japan’s top tier series whereas F1 is an inter...
Formula One and Super Formula are two of the world’s fastest single seater racing championships. Super Formula is Japan’s top tier series whereas F1 is an international series governed by the FIA.
Watch this video for an in-depth comparison of both series!
Timestamps:
Intro - 00:00
Cars - 00:20
Parts Usage - 02:50
Overtaking Aids - 03:13
Circuits - 03:58
Race Weekend - 04:41
Tyres & Pitstops - 05:54
Championship & Points - 06:53
Teams - 08:15
Credits:
https://www.formula1.com/content/dam/fom-website/manual/Misc/2020/Car-launches/Mercedes/M226298.jpg
https://danticktum.com/wp-content/uploads/2019/04/AP-1Z3RC5CZ51W11_news.jpg
https://cdn.wallpapersafari.com/68/62/oJcPkh.jpg
https://cimg1.ibsrv.net/ibimg/hgm/1920x1080-1/100/739/2020-mclaren-mcl35-formula-one-race-car_100739569.jpg
https://i.pinimg.com/originals/19/58/ce/1958ce8fc0dcea19f452adfcac3446d4.jpg
https://autodius.com/wp-content/uploads/2020/02/alfa-romeo-c39-2020-f1.jpg
https://www.wsupercars.com/wallpapers/Formula-1/Scuderia-Ferrari/2019-Formula1-Ferrari-SF90-006-1080.jpg
https://besthqwallpapers.com/Uploads/20-3-2020/125562/thumb2-kevin-magnussen-4k-haas-vf-20-on-track-raceway-2020-f1-cars.jpg
https://img.redbull.com/images/c_crop,x_0,y_0,h_2520,w_3780/c_fill,w_1500,h_1000/q_auto,f_auto/redbullcom/2020/2/10/vxvcvhjqeuzatpymg8sm/super-formula-2020-autopolis-japan-hero
https://img.redbull.com/images/c_limit,w_1500,h_1000,f_auto,q_auto:good/redbullcom/2020/3/6/srycei0u88a1q0xhf6gy/lucas-auer-super-formula
https://cdn-1.motorsport.com/images/amp/6gpVKrx0/s6/ye-kao-zhi-ji-team-mugen-1.jpg
https://i.pinimg.com/originals/28/43/5a/28435afb7709b5c612276cbf9a847400.jpg
https://www.carpixel.net/w/44cd591400bd93135a5bf3b3a2891c63/mclaren-mcl34-car-wallpaper-88938.jpg
https://lh3.googleusercontent.com/proxy/9XlnNrXlUILbkA86hpWc3QPWaIVsBqhB1ftleUhtMwOSs4e7uSNCFfy8X1yIIruCwFh-OF0kORKsYAx_sjlodqzJ
https://img.clipartlook.com/motorcycle-helmet-clipart-superbike-helmet-4-super-bike-shield-motorcycle-race-racing-motor-sport-speed-rider-svg-eps-png-clipart-vector-cricut-cut-cutting-file-570.jpg
https://www.gtplanet.net/wp-content/uploads/2020/05/super-formula-gt-sport-event-202005.jpg
https://www.racefans.net/wp-content/uploads/2019/03/racefansdotnet-20190315-025810-6.jpg
https://img.gptoday.eu/x/artlg/5ad052809066eb196cb6c08ad1d9496c8d9f3f1eb6050.jpg
https://pbs.twimg.com/media/D040TQOU8AI-KN2.jpg
https://superformula.net/sf2/wp-content/uploads/2019/03/3.jpg
https://www.formula1.com/content/dam/fom-website/manual/Misc/2020/Misc/GettyImages-1176334594.jpg
https://i1.wp.com/essaar.co.uk/wp-content/uploads/2019/07/2019-SFormula-SUGO-JRP-Inc..jpg?fit=2000%2C1333
https://f1madness.co.za/wp-content/uploads/2019/10/suzukasunday25-197944.jpg
https://img.bleacherreport.net/img/images/photos/003/832/763/hi-res-72805309b7df4854960260488bacb42d_crop_north.jpg?1570949013&w=3072&h=2048
https://www.racefans.net/wp-content/uploads/2020/02/racefansdotnet-20200212-090231-2.jpg
https://www.formula1.com/content/dam/fom-website/manual/XPB_Images/Misc/XPB_1006599_HiRes.jpg
https://upload.wikimedia.org/wikipedia/commons/c/c7/2018_Super_Formula_Championship%2C_Autopolis_%2843107029551%29.jpg
https://3legs4wheels.com/wordpress/wp-content/uploads/2019/12/pirelli-tyres-2019.jpg
https://motorsport.tech/wp-content/uploads/2019/02/Marketing-tyremarking.jpg.jpg
https://www.formula1.com/content/dam/fom-website/manual/XPB_Images/Italy_2019/Friday/XPB_1005281_HiRes.jpg
https://www.racefans.net/wp-content/uploads/2019/07/racefansdotnet-20190728-155902-1.jpg
https://3legs4wheels.com/wordpress/wp-content/uploads/2019/03/ferrari-pitstop-2019.jpg
https://www.yokohama-online.com/var/ezwebin_site_clean/storage/images/media/images/yeu/news/2015/q4/japanese-super-formula-championship-series-newsimage/267065-1-eur-EN/Japanese-SUPER-FORMULA-Championship-Series-newsimage.jpg
https://superformula.net/sf2/wp-content/uploads/2019/03/7.jpg
https://darhd0gh2uhgv.cloudfront.net/images/episode/id25199/topPickCarousel/17997838e9e20c84ad5eef178fa8b15e3c8dea03-1920.png
https://beyondtheflag.com/wp-content/uploads/getty-images/2016/04/1173153142.jpeg
https://as00.epimg.net/motor/imagenes/2019/07/14/formula_1/1563092060_057713_1563092187_noticia_normal.jpg
https://cdn1.formulaspy.com/v3/wp-content/uploads/2019/11/18092947/AP-227E3U9WW1W11_news-scaled.jpg
https://mediacdn.mclaren.com/media/images/galleries/_L0U4695.jpghttps://www.crash.net/s3/files/styles/view_original/s3/hires/32731.jpg?itok=qpn0wvL6https://www.racinghalloffamecollection.com/wp-content/uploads/2019-Valtteri-Bottas-Signed-Race-Winning-USGP_1.jpghttps://formularapida.net/wp-content/uploads/2018/12/46831177_2496479167045742_8093143936849149952_o.jpg
https://www.carscoops.com/wp-content/uploads/2019/01/9df3f684-renault-f1-2019-car-massive-winter-gains-4.jpg https://s3-eu-west-1.amazonaws.com/motorsport-magazine/wp-content/uploads/2020/02/21075947/Racing-Point-RP20.jpg https://formularapida.net/wp-content/uploads/2019/03/MK2_7184-1024x683.jpg
#F1 #SuperFormula
Formula One and Super Formula are two of the world’s fastest single seater racing championships. Super Formula is Japan’s top tier series whereas F1 is an international series governed by the FIA.
Watch this video for an in-depth comparison of both series!
Timestamps:
Intro - 00:00
Cars - 00:20
Parts Usage - 02:50
Overtaking Aids - 03:13
Circuits - 03:58
Race Weekend - 04:41
Tyres & Pitstops - 05:54
Championship & Points - 06:53
Teams - 08:15
Credits:
https://www.formula1.com/content/dam/fom-website/manual/Misc/2020/Car-launches/Mercedes/M226298.jpg
https://danticktum.com/wp-content/uploads/2019/04/AP-1Z3RC5CZ51W11_news.jpg
https://cdn.wallpapersafari.com/68/62/oJcPkh.jpg
https://cimg1.ibsrv.net/ibimg/hgm/1920x1080-1/100/739/2020-mclaren-mcl35-formula-one-race-car_100739569.jpg
https://i.pinimg.com/originals/19/58/ce/1958ce8fc0dcea19f452adfcac3446d4.jpg
https://autodius.com/wp-content/uploads/2020/02/alfa-romeo-c39-2020-f1.jpg
https://www.wsupercars.com/wallpapers/Formula-1/Scuderia-Ferrari/2019-Formula1-Ferrari-SF90-006-1080.jpg
https://besthqwallpapers.com/Uploads/20-3-2020/125562/thumb2-kevin-magnussen-4k-haas-vf-20-on-track-raceway-2020-f1-cars.jpg
https://img.redbull.com/images/c_crop,x_0,y_0,h_2520,w_3780/c_fill,w_1500,h_1000/q_auto,f_auto/redbullcom/2020/2/10/vxvcvhjqeuzatpymg8sm/super-formula-2020-autopolis-japan-hero
https://img.redbull.com/images/c_limit,w_1500,h_1000,f_auto,q_auto:good/redbullcom/2020/3/6/srycei0u88a1q0xhf6gy/lucas-auer-super-formula
https://cdn-1.motorsport.com/images/amp/6gpVKrx0/s6/ye-kao-zhi-ji-team-mugen-1.jpg
https://i.pinimg.com/originals/28/43/5a/28435afb7709b5c612276cbf9a847400.jpg
https://www.carpixel.net/w/44cd591400bd93135a5bf3b3a2891c63/mclaren-mcl34-car-wallpaper-88938.jpg
https://lh3.googleusercontent.com/proxy/9XlnNrXlUILbkA86hpWc3QPWaIVsBqhB1ftleUhtMwOSs4e7uSNCFfy8X1yIIruCwFh-OF0kORKsYAx_sjlodqzJ
https://img.clipartlook.com/motorcycle-helmet-clipart-superbike-helmet-4-super-bike-shield-motorcycle-race-racing-motor-sport-speed-rider-svg-eps-png-clipart-vector-cricut-cut-cutting-file-570.jpg
https://www.gtplanet.net/wp-content/uploads/2020/05/super-formula-gt-sport-event-202005.jpg
https://www.racefans.net/wp-content/uploads/2019/03/racefansdotnet-20190315-025810-6.jpg
https://img.gptoday.eu/x/artlg/5ad052809066eb196cb6c08ad1d9496c8d9f3f1eb6050.jpg
https://pbs.twimg.com/media/D040TQOU8AI-KN2.jpg
https://superformula.net/sf2/wp-content/uploads/2019/03/3.jpg
https://www.formula1.com/content/dam/fom-website/manual/Misc/2020/Misc/GettyImages-1176334594.jpg
https://i1.wp.com/essaar.co.uk/wp-content/uploads/2019/07/2019-SFormula-SUGO-JRP-Inc..jpg?fit=2000%2C1333
https://f1madness.co.za/wp-content/uploads/2019/10/suzukasunday25-197944.jpg
https://img.bleacherreport.net/img/images/photos/003/832/763/hi-res-72805309b7df4854960260488bacb42d_crop_north.jpg?1570949013&w=3072&h=2048
https://www.racefans.net/wp-content/uploads/2020/02/racefansdotnet-20200212-090231-2.jpg
https://www.formula1.com/content/dam/fom-website/manual/XPB_Images/Misc/XPB_1006599_HiRes.jpg
https://upload.wikimedia.org/wikipedia/commons/c/c7/2018_Super_Formula_Championship%2C_Autopolis_%2843107029551%29.jpg
https://3legs4wheels.com/wordpress/wp-content/uploads/2019/12/pirelli-tyres-2019.jpg
https://motorsport.tech/wp-content/uploads/2019/02/Marketing-tyremarking.jpg.jpg
https://www.formula1.com/content/dam/fom-website/manual/XPB_Images/Italy_2019/Friday/XPB_1005281_HiRes.jpg
https://www.racefans.net/wp-content/uploads/2019/07/racefansdotnet-20190728-155902-1.jpg
https://3legs4wheels.com/wordpress/wp-content/uploads/2019/03/ferrari-pitstop-2019.jpg
https://www.yokohama-online.com/var/ezwebin_site_clean/storage/images/media/images/yeu/news/2015/q4/japanese-super-formula-championship-series-newsimage/267065-1-eur-EN/Japanese-SUPER-FORMULA-Championship-Series-newsimage.jpg
https://superformula.net/sf2/wp-content/uploads/2019/03/7.jpg
https://darhd0gh2uhgv.cloudfront.net/images/episode/id25199/topPickCarousel/17997838e9e20c84ad5eef178fa8b15e3c8dea03-1920.png
https://beyondtheflag.com/wp-content/uploads/getty-images/2016/04/1173153142.jpeg
https://as00.epimg.net/motor/imagenes/2019/07/14/formula_1/1563092060_057713_1563092187_noticia_normal.jpg
https://cdn1.formulaspy.com/v3/wp-content/uploads/2019/11/18092947/AP-227E3U9WW1W11_news-scaled.jpg
https://mediacdn.mclaren.com/media/images/galleries/_L0U4695.jpghttps://www.crash.net/s3/files/styles/view_original/s3/hires/32731.jpg?itok=qpn0wvL6https://www.racinghalloffamecollection.com/wp-content/uploads/2019-Valtteri-Bottas-Signed-Race-Winning-USGP_1.jpghttps://formularapida.net/wp-content/uploads/2018/12/46831177_2496479167045742_8093143936849149952_o.jpg
https://www.carscoops.com/wp-content/uploads/2019/01/9df3f684-renault-f1-2019-car-massive-winter-gains-4.jpg https://s3-eu-west-1.amazonaws.com/motorsport-magazine/wp-content/uploads/2020/02/21075947/Racing-Point-RP20.jpg https://formularapida.net/wp-content/uploads/2019/03/MK2_7184-1024x683.jpg
#F1 #SuperFormula
😳 Is this normal? 🤣 Catch all the full race action from final #SuperFormula race at #Suzuka 🇯🇵 now available on Motorsport.tv!
Just follow the link: https://bcp.crwdcntrl.net/5/c=13030/b=71114249?https://motorsport.tv/motorsporttv/video/round-7-suzuka-ii-race/15766
The fastest IndyCar of all time vs the fastest Super Formula!
Leave a like if you enjoyed the video and subscribe for more simulations!!
Check out JUST SIMRACING: @JUSTSIMRACINGYT
The physics of some models may have been modified to replicate real-life performance as close as possible.
#IndyCar #CART #SuperFormula
スーパーフォーミュラ オフィシャル
SUPER FORMULA Official
Membership(メンバーになる):https://www.youtube.com/c/superformulavideo/join
Official HP : https://superformula.net/
Official Twitter : https://twitter.com/SUPER_FORMULA
Official Facebook : https://www.facebook.com/superformula.official
Official Instagram : https://www.instagram.com/superformula_official/
Super Formula Arrives in Bangkok: The Fastest Racecar Outside Formula 1 Explained In Detail!
With thanks for Yokohama and B-Quik Absolute Racing.
More here:
Facebook: https://www.facebook.com/RacingNewsThailand
Instagram: @eddellison
Twitter: edd_ellison
#SuperFormula #Japan #F1
Finally out of the trenches!
Be sure to like and Subscribe to my channel for more content!
Road To 10K!
Discord: https://discord.gg/J5YfQxEvCr
Monoposto Liveries: https://drive.google.com/drive/folders/1KSmUgoeNaLFf_Gp-bvCGaIJ3NO7pM88J
Ala Mobile discord: https://discord.gg/8DfyhQ5Qcp
Cammus Racing website: https://cammusracing.com
Formula One and Super Formula are two of the world’s fastest single seater racing championships. Super Formula is Japan’s top tier series whereas F1 is an international series governed by the FIA.
Watch this video for an in-depth comparison of both series!
Timestamps:
Intro - 00:00
Cars - 00:20
Parts Usage - 02:50
Overtaking Aids - 03:13
Circuits - 03:58
Race Weekend - 04:41
Tyres & Pitstops - 05:54
Championship & Points - 06:53
Teams - 08:15
Credits:
https://www.formula1.com/content/dam/fom-website/manual/Misc/2020/Car-launches/Mercedes/M226298.jpg
https://danticktum.com/wp-content/uploads/2019/04/AP-1Z3RC5CZ51W11_news.jpg
https://cdn.wallpapersafari.com/68/62/oJcPkh.jpg
https://cimg1.ibsrv.net/ibimg/hgm/1920x1080-1/100/739/2020-mclaren-mcl35-formula-one-race-car_100739569.jpg
https://i.pinimg.com/originals/19/58/ce/1958ce8fc0dcea19f452adfcac3446d4.jpg
https://autodius.com/wp-content/uploads/2020/02/alfa-romeo-c39-2020-f1.jpg
https://www.wsupercars.com/wallpapers/Formula-1/Scuderia-Ferrari/2019-Formula1-Ferrari-SF90-006-1080.jpg
https://besthqwallpapers.com/Uploads/20-3-2020/125562/thumb2-kevin-magnussen-4k-haas-vf-20-on-track-raceway-2020-f1-cars.jpg
https://img.redbull.com/images/c_crop,x_0,y_0,h_2520,w_3780/c_fill,w_1500,h_1000/q_auto,f_auto/redbullcom/2020/2/10/vxvcvhjqeuzatpymg8sm/super-formula-2020-autopolis-japan-hero
https://img.redbull.com/images/c_limit,w_1500,h_1000,f_auto,q_auto:good/redbullcom/2020/3/6/srycei0u88a1q0xhf6gy/lucas-auer-super-formula
https://cdn-1.motorsport.com/images/amp/6gpVKrx0/s6/ye-kao-zhi-ji-team-mugen-1.jpg
https://i.pinimg.com/originals/28/43/5a/28435afb7709b5c612276cbf9a847400.jpg
https://www.carpixel.net/w/44cd591400bd93135a5bf3b3a2891c63/mclaren-mcl34-car-wallpaper-88938.jpg
https://lh3.googleusercontent.com/proxy/9XlnNrXlUILbkA86hpWc3QPWaIVsBqhB1ftleUhtMwOSs4e7uSNCFfy8X1yIIruCwFh-OF0kORKsYAx_sjlodqzJ
https://img.clipartlook.com/motorcycle-helmet-clipart-superbike-helmet-4-super-bike-shield-motorcycle-race-racing-motor-sport-speed-rider-svg-eps-png-clipart-vector-cricut-cut-cutting-file-570.jpg
https://www.gtplanet.net/wp-content/uploads/2020/05/super-formula-gt-sport-event-202005.jpg
https://www.racefans.net/wp-content/uploads/2019/03/racefansdotnet-20190315-025810-6.jpg
https://img.gptoday.eu/x/artlg/5ad052809066eb196cb6c08ad1d9496c8d9f3f1eb6050.jpg
https://pbs.twimg.com/media/D040TQOU8AI-KN2.jpg
https://superformula.net/sf2/wp-content/uploads/2019/03/3.jpg
https://www.formula1.com/content/dam/fom-website/manual/Misc/2020/Misc/GettyImages-1176334594.jpg
https://i1.wp.com/essaar.co.uk/wp-content/uploads/2019/07/2019-SFormula-SUGO-JRP-Inc..jpg?fit=2000%2C1333
https://f1madness.co.za/wp-content/uploads/2019/10/suzukasunday25-197944.jpg
https://img.bleacherreport.net/img/images/photos/003/832/763/hi-res-72805309b7df4854960260488bacb42d_crop_north.jpg?1570949013&w=3072&h=2048
https://www.racefans.net/wp-content/uploads/2020/02/racefansdotnet-20200212-090231-2.jpg
https://www.formula1.com/content/dam/fom-website/manual/XPB_Images/Misc/XPB_1006599_HiRes.jpg
https://upload.wikimedia.org/wikipedia/commons/c/c7/2018_Super_Formula_Championship%2C_Autopolis_%2843107029551%29.jpg
https://3legs4wheels.com/wordpress/wp-content/uploads/2019/12/pirelli-tyres-2019.jpg
https://motorsport.tech/wp-content/uploads/2019/02/Marketing-tyremarking.jpg.jpg
https://www.formula1.com/content/dam/fom-website/manual/XPB_Images/Italy_2019/Friday/XPB_1005281_HiRes.jpg
https://www.racefans.net/wp-content/uploads/2019/07/racefansdotnet-20190728-155902-1.jpg
https://3legs4wheels.com/wordpress/wp-content/uploads/2019/03/ferrari-pitstop-2019.jpg
https://www.yokohama-online.com/var/ezwebin_site_clean/storage/images/media/images/yeu/news/2015/q4/japanese-super-formula-championship-series-newsimage/267065-1-eur-EN/Japanese-SUPER-FORMULA-Championship-Series-newsimage.jpg
https://superformula.net/sf2/wp-content/uploads/2019/03/7.jpg
https://darhd0gh2uhgv.cloudfront.net/images/episode/id25199/topPickCarousel/17997838e9e20c84ad5eef178fa8b15e3c8dea03-1920.png
https://beyondtheflag.com/wp-content/uploads/getty-images/2016/04/1173153142.jpeg
https://as00.epimg.net/motor/imagenes/2019/07/14/formula_1/1563092060_057713_1563092187_noticia_normal.jpg
https://cdn1.formulaspy.com/v3/wp-content/uploads/2019/11/18092947/AP-227E3U9WW1W11_news-scaled.jpg
https://mediacdn.mclaren.com/media/images/galleries/_L0U4695.jpghttps://www.crash.net/s3/files/styles/view_original/s3/hires/32731.jpg?itok=qpn0wvL6https://www.racinghalloffamecollection.com/wp-content/uploads/2019-Valtteri-Bottas-Signed-Race-Winning-USGP_1.jpghttps://formularapida.net/wp-content/uploads/2018/12/46831177_2496479167045742_8093143936849149952_o.jpg
https://www.carscoops.com/wp-content/uploads/2019/01/9df3f684-renault-f1-2019-car-massive-winter-gains-4.jpg https://s3-eu-west-1.amazonaws.com/motorsport-magazine/wp-content/uploads/2020/02/21075947/Racing-Point-RP20.jpg https://formularapida.net/wp-content/uploads/2019/03/MK2_7184-1024x683.jpg
#F1 #SuperFormula
The superformula is a generalization of the superellipse and was first proposed by Johan Gielis in 2003. Gielis suggested that the formula can be used to describe many complex shapes and curves that are found in nature.
In polar coordinates, with the radius and the angle, the superformula is:
By choosing different values for the parameters , different shapes can be generated.
The formula was obtained by generalizing the superellipse, named and popularized by Piet Hein, a Danishmathematician.
Extension to higher dimensions
It is possible to extend the formula to 3, 4, or n dimensions, by means of the spherical product of superformulas. For example, the 3Dparametric surface is obtained by multiplying two superformulas r1 and r2. The coordinates are defined by the relations:
where (latitude) varies between −π/2 and π/2 and θ (longitude) between −π and π.
Plots
A GNU Octave program for generating these figures:
3D superformula: a = b = 1; m, n1, n2 and n3 are shown in the pictures.