Quick Context: How many sunny lines can you use to cover a triangular grid of points?

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Instructor: Jasiah Azmain Facebook Id Link: Website Link: ...

IMO 2008 problem 1(ุงู„ู…ุณุฃู„ุฉ ุงู„ุฃูˆู„ู‰ ู…ู† ุงู„ุฃูˆู„ู…ุจูŠุงุฏ ุงู„ุฏูˆู„ูŠ 2008)

IMO 2008 problem 1(ุงู„ู…ุณุฃู„ุฉ ุงู„ุฃูˆู„ู‰ ู…ู† ุงู„ุฃูˆู„ู…ุจูŠุงุฏ ุงู„ุฏูˆู„ูŠ 2008)

IMO 2008 problem 1(ุงู„ู…ุณุฃู„ุฉ ุงู„ุฃูˆู„ู‰ ู…ู† ุงู„ุฃูˆู„ู…ุจูŠุงุฏ ุงู„ุฏูˆู„ูŠ 2008)

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A line is "sunny" if it avoids three simple directions. How many sunny lines can you use to cover a triangular grid of points?