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Advent calendar 2022
14 December
All 2022 advent puzzles
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Holly draws a line of connected regular pentagons like this:
She continues the pattern until she has drawn 204 pentagons. The perimeter of each pentagon is 5. What is the perimeter of her line of pentagons?
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The two pentagons at the end of the pattern each contribute 4 units to the permimeter. The remaining 202 pentagons each contribute 3 units to the perimeter. This gives a total perimeter of 2×4+202×3=
614
.
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taxicab geometry
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consecutive integers
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sum to infinity
crossnumber
ave
division
factorials
complex numbers
lines
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chocolate
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median
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dominos
numbers
cryptic crossnumbers
christmas
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speed
planes
geometric mean
means
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pascal's triangle
digits
balancing
perfect numbers
rugby
star numbers
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