Question

This number gives an alternate name for Robinson triangles, which comprise a variation of the Penrose rhomb tilings. (0[1])In this number’s base, (20[1])any number has a unique standard form that contains only the binary digits with no consecutive ones. (20[1])For n greater than one, the nth Lucas number equals this number (0[1])to the power of quantity n minus one, rounded to the nearest integer. In a regular pentagon, the ratio (20[2])between (0[1])the diagonal (20[2])and the (20[1])side length (0[1])is equal (20[1])to this (20[1])number. (20[3])This number is (20[1])the positive (*) solution (0[1])to the (10[1])equation “x-squared equals (0[1])x plus one.” (0[1])This number equals the mean (0[1])of one and the square root of five. (0[1])For (10[1])10 points, (10[3])name this number that is, (10[1])roughly, the common ratio of (10[1])the Fibonacci (10[3])sequence. (10[3])■END■ (10[8]0[2])

ANSWER: golden ratio [accept golden ratio after “ratio” is read; prompt on phi; reject “pi”; prompt on 1.61803 with “What is the name of the non-truncated value of that number?”]
<Steven Yuan, Science - Math&gt; ~25565~ &lt;Editor: David Bass>
= Average correct buzz position

Summary

2023 PACE NSC06/10/2023Y3597%37%0%100.26

Buzzes

PlayerTeamOpponentBuzz PositionValue
Aatreyo BhattacharyyaMira LomaPlymouth170
Aakash SanjayJohns Creek ABelmont2120
Shreyas SinghUniversity LabSolon3820
Charles HeydtMidtownMaggie Walker C500
Yashwanth BajjiTroyWilliam Fremd6920
Arnav LahotiSt. Mark'sMaggie Walker A6920
Clete ReinbergerCincinnati Hills ChristianMercer County700
Brandon TorresCarl SandburgCarbondale7220
Joy AnChoate Rosemary HallWalter Payton7220
Dylan ChengThomas Jefferson ADetroit Catholic Central A7420
Arthur GaydenDetroit Country DayRichard Montgomery760
Thomas BelcherSaint JosephMaggie Walker B7820
Chris YooThomas Jefferson BBarrington A8020
Anthony ChalhoubDetroit Catholic Central BMoberly8120
Kaiwen XiaoIrvington AHinsdale Central8120
Andy YuWinston Churchill AKinkaid8120
Kevin AdlerNorthmont BJohn Adams B8420
Sean LeeChattahoochee BMexico870
Isaac McCollumHoover BNorris8910
Felix SacksLincoln-Way EastJohns Creek B920
Aryan PathakLake HighlandBelvidere950
Jingyi WuStevenson AParkway West1000
Brielle RachRockford Auburn BHunter B1080
Yaj JhajhriaCanyon CrestDallas County10910
Aarushi KanigicherlaThomas Jefferson CBarrington B11110
Brady LaughlinWest PointStevenson B11110
Ibrahim MohammadChattahoochee AThomas Jefferson D11110
Ave RiegerNorthmont AWinnebago11610
Nate MrozDetroit Catholic Central CWaukee12110
Adhav RavikumarInnovation Academy AWinston Churchill B12310
Omar HamidDunbarHunter A12310
Sinecio MoralesRockford Auburn AWoodland12310
Brenden StremlerMaggie Walker CMidtown12410
Charlie BorkElkhorn NorthInnovation Academy B12410
Sophie HiggsRichard MontgomeryDetroit Country Day12410
Owen GibbsHeightsNew Brighton12510
Camden WilliamsMexicoChattahoochee B12510
Geo BeachNew BrightonHeights1250
Owen ArnesonParkway WestStevenson A12510
David BertolasiBelvidereLake Highland12510
Isaac HowkJohn Adams ANorman12510
Fahian JoyHunter BRockford Auburn B1250
Aneesh SwaminathanPlymouthMira Loma12510
Hayden QiJohns Creek BLincoln-Way East12510
Armaan AhmedMercer CountyCincinnati Hills Christian12510