Question
This number gives an alternate name for Robinson triangles, which comprise a variation of the Penrose rhomb tilings. In this number’s base, any number has a unique standard form that contains only the binary digits with no consecutive ones. For n greater than one, the nth Lucas number equals this number to the power of quantity n minus one, rounded to the nearest integer. In a regular pentagon, the ratio between the diagonal and the side length is equal to this number. This number is the positive (*) solution to the equation “x-squared equals x plus one.” This number equals the mean of one and the square root of five. For 10 points, name this number that is, roughly, the common ratio of the Fibonacci sequence. ■END■
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> ~25565~ <Editor: David Bass>
= Average correct buzz position
Summary
2023 PACE NSC | 06/10/2023 | Y | 35 | 97% | 37% | 0% | 100.26 |
Buzzes
Player | Team | Opponent | Buzz Position | Value |
---|---|---|---|---|
Aatreyo Bhattacharyya | Mira Loma | Plymouth | 17 | 0 |
Aakash Sanjay | Johns Creek A | Belmont | 21 | 20 |
Shreyas Singh | University Lab | Solon | 38 | 20 |
Charles Heydt | Midtown | Maggie Walker C | 50 | 0 |
Yashwanth Bajji | Troy | William Fremd | 69 | 20 |
Arnav Lahoti | St. Mark's | Maggie Walker A | 69 | 20 |
Clete Reinberger | Cincinnati Hills Christian | Mercer County | 70 | 0 |
Brandon Torres | Carl Sandburg | Carbondale | 72 | 20 |
Joy An | Choate Rosemary Hall | Walter Payton | 72 | 20 |
Dylan Cheng | Thomas Jefferson A | Detroit Catholic Central A | 74 | 20 |
Arthur Gayden | Detroit Country Day | Richard Montgomery | 76 | 0 |
Thomas Belcher | Saint Joseph | Maggie Walker B | 78 | 20 |
Chris Yoo | Thomas Jefferson B | Barrington A | 80 | 20 |
Anthony Chalhoub | Detroit Catholic Central B | Moberly | 81 | 20 |
Kaiwen Xiao | Irvington A | Hinsdale Central | 81 | 20 |
Andy Yu | Winston Churchill A | Kinkaid | 81 | 20 |
Kevin Adler | Northmont B | John Adams B | 84 | 20 |
Sean Lee | Chattahoochee B | Mexico | 87 | 0 |
Isaac McCollum | Hoover B | Norris | 89 | 10 |
Felix Sacks | Lincoln-Way East | Johns Creek B | 92 | 0 |
Aryan Pathak | Lake Highland | Belvidere | 95 | 0 |
Jingyi Wu | Stevenson A | Parkway West | 100 | 0 |
Brielle Rach | Rockford Auburn B | Hunter B | 108 | 0 |
Yaj Jhajhria | Canyon Crest | Dallas County | 109 | 10 |
Aarushi Kanigicherla | Thomas Jefferson C | Barrington B | 111 | 10 |
Brady Laughlin | West Point | Stevenson B | 111 | 10 |
Ibrahim Mohammad | Chattahoochee A | Thomas Jefferson D | 111 | 10 |
Ave Rieger | Northmont A | Winnebago | 116 | 10 |
Nate Mroz | Detroit Catholic Central C | Waukee | 121 | 10 |
Adhav Ravikumar | Innovation Academy A | Winston Churchill B | 123 | 10 |
Omar Hamid | Dunbar | Hunter A | 123 | 10 |
Sinecio Morales | Rockford Auburn A | Woodland | 123 | 10 |
Brenden Stremler | Maggie Walker C | Midtown | 124 | 10 |
Charlie Bork | Elkhorn North | Innovation Academy B | 124 | 10 |
Sophie Higgs | Richard Montgomery | Detroit Country Day | 124 | 10 |
Owen Gibbs | Heights | New Brighton | 125 | 10 |
Camden Williams | Mexico | Chattahoochee B | 125 | 10 |
Geo Beach | New Brighton | Heights | 125 | 0 |
Owen Arneson | Parkway West | Stevenson A | 125 | 10 |
David Bertolasi | Belvidere | Lake Highland | 125 | 10 |
Isaac Howk | John Adams A | Norman | 125 | 10 |
Fahian Joy | Hunter B | Rockford Auburn B | 125 | 0 |
Aneesh Swaminathan | Plymouth | Mira Loma | 125 | 10 |
Hayden Qi | Johns Creek B | Lincoln-Way East | 125 | 10 |
Armaan Ahmed | Mercer County | Cincinnati Hills Christian | 125 | 10 |