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Create: 2020-11-10 Update: 2025-07-07 23:20:31

Yesterday's post, as someone noticed in the discussion chat (Maths Visuals Discussions
https://hottg.com/mathvisuals_chat), was a trick, not a regular polygon construction with rule and compass exactly but a very close approximation.
As 7 is a Pierpont prime but not a Fermat prime, the regular heptagon is not constructible with compass and straightedge but is constructible with a marked ruler and compass. It is the smallest regular polygon with this property. This type of construction is called a neusis construction. It is also constructible with compass, straightedge and angle trisector.

Visuals for maths

Yesterday's post, as someone noticed in the discussion chat (Maths Visuals Discussions
https://hottg.com/mathvisuals_chat), was a trick, not a regular polygon construction with rule and compass exactly but a very close approximation.
As 7 is a Pierpont prime but not a Fermat prime, the regular heptagon is not constructible with compass and straightedge but is constructible with a marked ruler and compass. It is the smallest regular polygon with this property. This type of construction is called a neusis construction. It is also constructible with compass, straightedge and angle trisector.

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1.9K viewsNov 10, 2020 at 09:50

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Visuals for maths

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