7-Day Shape Spotting Streak
Find and photograph or note one real-world polygon each day, like a stop sign or floor tile. Check in daily.
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Science · Facts & stats · iChallenge network
Daily facts and stats about polygons, plus real challenges to put them to work.
What do the exterior angles of any convex polygon add up to?
Walking around any convex polygon you turn through one full rotation, so the exterior angles total 360°.

One ranked attempt per day. Practice as much as you like.
Join one, log your days or post your proof. Finishing earns XP and the Finisher badge.
Find and photograph or note one real-world polygon each day, like a stop sign or floor tile. Check in daily.
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Draw or cut out a repeating pattern of polygons that covers a page with no gaps. Post a photo link or short write-up.
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Draw a pentagon, split it into triangles from one corner and show why its angles total 540°. Post the write-up.
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Live counts from PolygonChallenge.com. All arena stats →
Earned on any arena, shown on your profile everywhere.
Add your email to keep your level, streak and badges if you switch devices, and carry them to every iChallenge arena. One email when you save; no spam.
Fund a prize on PolygonChallenge.com and your brand sits on the challenge card, the leaderboard and every finisher's share. Prizes only appear once they're funded, so players can trust what they see.
No — knowledge games only. Nothing here is financial advice.
Only when a sponsor funds a prize. Funded prizes and their rules are shown on the challenge card; otherwise you play for rank and badges.
Everyone on this arena gets the same five questions each day, from easy to hard. You get one ranked attempt; practice rounds are unlimited.
100 points per correct answer, up to 50 more for answering quickly, a combo multiplier for answers in a row, and 150 bonus points for a perfect round.
Yes. Playing, streaks, badges and leaderboards are free. Some challenges carry a sponsor-funded prize; the challenge card shows it when one is funded.