36,349
edits
Sonic Geometry: Difference between revisions
→Septagon 900 Degrees
| Line 41: | Line 41: | ||
The heptagon is sometimes referred to as the septagon, using "sept-" (an elision of septua-, a Latin-derived numerical prefix, rather than hepta-, a Greek-derived numerical prefix; both are cognate) together with the Greek suffix "-agon" meaning angle.<ref>[https://en.wikipedia.org/wiki/Heptagon Heptagon wiki]</ref> | The heptagon is sometimes referred to as the septagon, using "sept-" (an elision of septua-, a Latin-derived numerical prefix, rather than hepta-, a Greek-derived numerical prefix; both are cognate) together with the Greek suffix "-agon" meaning angle.<ref>[https://en.wikipedia.org/wiki/Heptagon Heptagon wiki]</ref> | ||
==Octagon 1080 Degrees== | |||
[[File:Regular polygon 8 annotated.svg|thumb|Regular octagon with annotation.]] | |||
In geometry, an octagon (from the Greek ὀκτάγωνον oktágōnon, "eight angles") is an eight-sided polygon or 8-gon.The sum of all the internal angles of any octagon is 1080°. As with all polygons, the external angles total 360°. | |||
If squares are constructed all internally or all externally on the sides of an octagon, then the midpoints of the segments connecting the centers of opposite squares form a quadrilateral that is both equidiagonal and orthodiagonal (that is, whose diagonals are equal in length and at right angles to each other). | |||
The midpoint octagon of a reference octagon has its eight vertices at the midpoints of the sides of the reference octagon. If squares are constructed all internally or all externally on the sides of the midpoint octagon, then the midpoints of the segments connecting the centers of opposite squares themselves form the vertices of a square.<ref>[https://en.wikipedia.org/wiki/Octagon Octagon wiki]</ref> | |||
==References== | ==References== | ||