Π£ Π½Π°Ρ Π²Ρ ΠΌΠΎΠΆΠ΅ΡΠ΅ ΠΏΠΎΡΠΌΠΎΡΡΠ΅ΡΡ Π±Π΅ΡΠΏΠ»Π°ΡΠ½ΠΎ 65537-gon Construction (Most Accurate Version) ΠΈΠ»ΠΈ ΡΠΊΠ°ΡΠ°ΡΡ Π² ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠΌ Π΄ΠΎΡΡΡΠΏΠ½ΠΎΠΌ ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅, Π²ΠΈΠ΄Π΅ΠΎ ΠΊΠΎΡΠΎΡΠΎΠ΅ Π±ΡΠ»ΠΎ Π·Π°Π³ΡΡΠΆΠ΅Π½ΠΎ Π½Π° ΡΡΡΠ±. ΠΠ»Ρ Π·Π°Π³ΡΡΠ·ΠΊΠΈ Π²ΡΠ±Π΅ΡΠΈΡΠ΅ Π²Π°ΡΠΈΠ°Π½Ρ ΠΈΠ· ΡΠΎΡΠΌΡ Π½ΠΈΠΆΠ΅:
ΠΡΠ»ΠΈ ΠΊΠ½ΠΎΠΏΠΊΠΈ ΡΠΊΠ°ΡΠΈΠ²Π°Π½ΠΈΡ Π½Π΅
Π·Π°Π³ΡΡΠ·ΠΈΠ»ΠΈΡΡ
ΠΠΠΠΠΠ’Π ΠΠΠΠ‘Π¬ ΠΈΠ»ΠΈ ΠΎΠ±Π½ΠΎΠ²ΠΈΡΠ΅ ΡΡΡΠ°Π½ΠΈΡΡ
ΠΡΠ»ΠΈ Π²ΠΎΠ·Π½ΠΈΠΊΠ°ΡΡ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ ΡΠΎ ΡΠΊΠ°ΡΠΈΠ²Π°Π½ΠΈΠ΅ΠΌ Π²ΠΈΠ΄Π΅ΠΎ, ΠΏΠΎΠΆΠ°Π»ΡΠΉΡΡΠ° Π½Π°ΠΏΠΈΡΠΈΡΠ΅ Π² ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠΊΡ ΠΏΠΎ Π°Π΄ΡΠ΅ΡΡ Π²Π½ΠΈΠ·Ρ
ΡΡΡΠ°Π½ΠΈΡΡ.
Π‘ΠΏΠ°ΡΠΈΠ±ΠΎ Π·Π° ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ ΡΠ΅ΡΠ²ΠΈΡΠ° ClipSaver.ru
Please check out the files below if you want to go into more detail about this construction. List of steps: https://drive.google.com/file/d/1KJj7... List of point values: https://drive.google.com/file/d/1HSQH... List of just the point formulas (not mine, credits to Ken Brakke): https://kenbrakke.com/RulerAndCompass... This is the more accurate version of the 65537-gon construction animation. My previous one was full of mistakes, like Carlyle circles that don't intersect the X axis. I have fixed 99.99% of the visual bugs, so this version should be the most accurate. This will be the last 65537-gon attempt I will upload. The 65537-gon is the last polygon in the series of Fermat prime polygons (3-gon, 5-gon, 17-gon, 257-gon, and 65537-gon). This makes it the largest constructible polygon with a prime number of sides. Fermat primes are defined as a prime number in the form of 2^2^n+1, with 65537 being 2^2^4+1. We currently have not found any Fermat primes higher than n=4. Stats: 1142 Carlyle circles (including the first circle) 86308 Arcs 2283 Lines (excluding the ones in the polygon) 2029 Points (excluding the ones in the polygon) 91,762 Steps 84,910 Steps (combining the steps for perpendicular bisection) h253 is the smallest point (-0.0009058899072389437) b1 is the largest point (-154.93745120206825) tier j contains the most points (745)