Create the page "Regular" on this wiki! See also the search results found.

Page title matches

• Regular polygon
  ...ure]]s. The regular [[triangle]]s are the [[equilateral triangle]]s. The regular [[quadrilateral]]s are the [[square (geometry) | squares]]. The closest [[3D Geometry | 3D]] equivalent to the regular polygon is the [[Platonic solid]].
  702 bytes (118 words) - 23:10, 30 October 2006
• Regular polyhedron
  27 bytes (3 words) - 12:49, 3 August 2006
• Regular tetrahedron
  ...h vertex of the base. All of its edges have equal measures. All faces of a regular tetrahedron are equilateral triangles. [[Regular tetrahedron/Introductory problem | Solution]]
  1 KB (178 words) - 11:32, 29 March 2012
• Regular tetrahedron/Introductory problem
  [[Regular tetrahedron| Back to main article]]
  591 bytes (84 words) - 20:30, 30 December 2012
• Regular module
  The '''regular left module''' of a [[ring]] <math>R</math> is the left <math>R</math>-[[mo given by left multiplication from <math>R</math>. The right regular module is defined
  691 bytes (109 words) - 10:53, 29 September 2012

Page text matches

• United States of America Mathematical Talent Search
  Solutions can be sent via the online interface, or regular mail. ...matical Talent Search (USAMTS) was initiated in the fall of 1989 through a regular column by the same name in Consortium, a quarterly newsletter published by
  4 KB (613 words) - 13:08, 18 July 2023
• Joining an ARML team
  ...iego Math Circle (SDMC), and most of the students on last year's team were regular attendees at SDMC. Also, since the 2007 team contained no seniors, the orga ...nd middle school math meet leagues are invited to ARML practices after the regular season ends around February.
  21 KB (3,500 words) - 18:41, 23 April 2024
• Community Service Scholarships
  ...holarships] of $500 for female undergraduate and graduate students who are regular involved in community service.
  3 KB (350 words) - 01:18, 19 June 2016
• Ptolemy's theorem
  === Regular Heptagon Identity === In a regular heptagon <math> ABCDEFG </math>, prove that: <math> \frac{1}{AB}=\frac{1}{A
  7 KB (1,198 words) - 20:39, 9 March 2024
• Circle
  ...hem be <math>a</math> and the perimeter be <math>p</math> so the area of a regular polygon is one half of the product of the perimeter and apothem. The perime
  9 KB (1,581 words) - 18:59, 9 May 2024
• Square (geometry)
  Equivalently, the squares are the [[regular polygon|regular]] quadrilaterals.
  1 KB (169 words) - 01:12, 13 June 2022
• Polygon
  A polygon can be [[regular polygon| regular]] or irregular. A polygon is regular if all sides are the same length and all angles are [[congruent]]. ...80(n-2)^\circ</math>, where <math>n</math> is the number of sides. Thus in regular polygons, any angle is <math>\frac{180(n-2)}{n}^\circ</math>.
  2 KB (372 words) - 19:04, 30 May 2015
• Irrational number
  ...edes calculated the limits for <math>\pi</math>, until he got to a pair of regular 96-gons. For the 96-gons, <math>\pi</math>'s limits were:
  3 KB (368 words) - 19:26, 6 June 2015
• Roots of unity
  ...(more technically, we would call this their [[convex hull]]), they form a regular '''n'''-sided polygon. This becomes even more evident when we look at the * They occupy the vertices of a regular ''n''-gon in the [[complex plane]].
  3 KB (558 words) - 21:36, 11 December 2011
• Law of Sines
  This method only works to prove the regular (and not extended) Law of Sines.
  4 KB (658 words) - 16:19, 28 April 2024
• Area
  == Area of a Regular Polygon == The area of any [[regular polygon]] can be found as follows:
  6 KB (1,181 words) - 22:37, 22 January 2023
• Euler's Polyhedral Formula
  A convex polyhedron has for its faces 12 squares, 8 regular hexagons, and 6 regular octagons. At each vertex of the polyhedron one square, one hexagon, and one
  1,006 bytes (134 words) - 14:15, 6 March 2022
• 2006 AMC 12B Problems
  Regular hexagon <math>ABCDEF</math> has vertices <math>A</math> and <math>C</math>
  13 KB (2,058 words) - 12:36, 4 July 2023
• 2006 AMC 12A Problems
  A circle of radius <math>r</math> is concentric with and outside a regular hexagon of side length <math>2</math>. The probability that three entire si
  15 KB (2,223 words) - 13:43, 28 December 2020
• 2000 AMC 12 Problems
  ...quilateral triangle]]s, each of a different color, are used to construct a regular [[octahedron]]. How many distinguishable ways are there to construct the oc
  13 KB (1,948 words) - 12:26, 1 April 2022
• 2001 AMC 12 Problems
  Given the nine-sided regular polygon <math>A_1 A_2 A_3 A_4 A_5 A_6 A_7 A_8 A_9</math>, how many distinct An insect lives on the surface of a regular tetrahedron with edges of length 1. It wishes to travel on the surface of t
  13 KB (1,957 words) - 12:53, 24 January 2024
• 2002 AMC 12B Problems
  Juan rolls a fair regular octahedral die marked with the numbers <math>1</math> through <math>8</math
  10 KB (1,547 words) - 04:20, 9 October 2022
• 2003 AMC 12B Problems
  Several figures can be made by attaching two equilateral triangles to the regular pentagon ABCDE in two of the five positions shown. How many non-congruent f A regular octagon <math>ABCDEFGH</math> has an area of one square unit. What is the a
  13 KB (1,987 words) - 18:53, 10 December 2022
• 2005 AMC 12B Problems
  Six ants simultaneously stand on the six [[vertex|vertices]] of a regular [[octahedron]], with each ant at a different vertex. Simultaneously and ind
  12 KB (1,781 words) - 12:38, 14 July 2022
• 2006 AMC 12B Problems/Problem 16
  Regular hexagon <math>ABCDEF</math> has vertices <math>A</math> and <math>C</math> To find the area of the regular hexagon, we only need to calculate the side length.
  1 KB (203 words) - 16:36, 18 September 2023
• 2006 AMC 12A Problems/Problem 22
  ...]] <math>r</math> is [[concentric]] with and outside a [[regular polygon | regular]] [[hexagon]] of side length <math>2</math>. The [[probability]] that three
  2 KB (343 words) - 15:39, 14 June 2023
• 2005 AMC 12B Problems/Problem 25
  Six ants simultaneously stand on the six [[vertex|vertices]] of a regular [[octahedron]], with each ant at a different vertex. Simultaneously and ind
  10 KB (1,840 words) - 21:35, 7 September 2023
• 2006 AMC 10A Problems
  Centers of adjacent faces of a unit cube are joined to form a regular octahedron. What is the volume of this octahedron?
  13 KB (2,028 words) - 16:32, 22 March 2022
• 2006 AMC 10A Problems/Problem 24
  Centers of adjacent faces of a unit cube are joined to form a regular [[octahedron]]. What is the volume of this octahedron? The cube has edges of length 1 so all edges of the regular octahedron have length <math>\frac{\sqrt{2}}{2}</math>. Then the square ba
  2 KB (292 words) - 10:19, 19 December 2021
• Set
  *The regular 5-point star <math>ABCDE</math> is drawn and in each [[vertex]], there is a
  11 KB (2,021 words) - 00:00, 17 July 2011
• 2005 AIME II Problems
  Given that <math> O </math> is a regular octahedron, that <math> C </math> is the cube whose vertices are the center
  7 KB (1,119 words) - 21:12, 28 February 2020
• 2005 AIME II Problems/Problem 10
  Given that <math> O </math> is a regular [[octahedron]], that <math> C </math> is the [[cube (geometry) | cube]] who
  3 KB (436 words) - 03:10, 23 September 2020
• Perimeter
  * [[Regular polygon]] with <math>n</math> sides: <math>ns</math>, where <math>s</math>
  893 bytes (138 words) - 10:25, 6 November 2007
• 2005 AIME I Problems/Problem 1
  ...f the radii to the points of external tangency, we get a [[regular polygon|regular]] [[hexagon]]. If we connect the [[vertex|vertices]] of the hexagon to the
  1 KB (213 words) - 13:17, 22 July 2017
• 2004 AIME I Problems/Problem 8
  Define a regular <math> n </math>-pointed star to be the union of <math> n </math> line segm ...ut there are two non-similar regular 7-pointed stars. How many non-similar regular 1000-pointed stars are there?
  4 KB (620 words) - 21:26, 5 June 2021
• 2004 AIME I Problems
  Define a regular <math> n </math>-pointed star to be the union of <math> n </math> line segm ...ut there are two non-similar regular 7-pointed stars. How many non-similar regular 1000-pointed stars are there?
  9 KB (1,434 words) - 13:34, 29 December 2021
• 1988 AIME Problems
  A convex polyhedron has for its faces 12 squares, 8 regular hexagons, and 6 regular octagons. At each vertex of the polyhedron one square, one hexagon, and one
  6 KB (902 words) - 08:57, 19 June 2021
• 1990 AIME Problems
  .../math> be a regular <math>r~\mbox{gon}</math> and <math>P_2^{}</math> be a regular <math>s~\mbox{gon}</math> <math>(r\geq s\geq 3)</math> such that each inter A regular 12-gon is inscribed in a circle of radius 12. The sum of the lengths of al
  6 KB (870 words) - 10:14, 19 June 2021
• 1997 AIME Problems
  .../math>, <math>A_n</math>, and <math>B</math> are consecutive vertices of a regular polygon?
  7 KB (1,098 words) - 17:08, 25 June 2020
• 1998 AIME Problems
  ...e is [[tangent]] to two others and their [[center]]s are the vertices of a regular [[octagon]]. A ninth sphere is placed on the flat surface so that it is ta
  7 KB (1,084 words) - 02:01, 28 November 2023
• 2001 AIME I Problems
  ...numbers 1, 2, 3, 4, 5, 6, 7, and 8 are randomly written on the faces of a regular octahedron so that each face contains a different number. The probability
  7 KB (1,212 words) - 22:16, 17 December 2023
• 2002 AIME I Problems
  Let <math>A_1, A_2, A_3, \ldots, A_{12}</math> be the vertices of a regular dodecagon. How many distinct squares in the plane of the dodecagon have at
  8 KB (1,374 words) - 21:09, 27 July 2023
• 2001 AIME II Problems
  ...dpoint triangle of every face of <math>P_{i}</math> by an outward-pointing regular tetrahedron that has the midpoint triangle as a face. The volume of <math>P
  8 KB (1,282 words) - 21:12, 19 February 2019
• 2003 AIME II Problems
  In a regular tetrahedron, the centers of the four faces are the vertices of a smaller te
  7 KB (1,127 words) - 09:02, 11 July 2023
• 1983 AIME Problems/Problem 11
  ...length <math>2s = 12\sqrt{2}</math>. Using the formula for the volume of a regular tetrahedron, which is <math>V = \frac{\sqrt{2}S^3}{12}</math>, where S is t
  5 KB (865 words) - 21:11, 6 February 2023
• 1985 AIME Problems/Problem 15
  ...djacent sides. These six pieces are then attached to a [[regular polygon | regular]] [[hexagon]], as shown in the second figure, so as to fold into a [[polyhe ...g plane SPQ, SQR and SRP to intersect with the plane XYZ that contains the regular hexagon, we form a pyramid with S the top vertex and the base being an equi
  2 KB (245 words) - 22:44, 4 March 2024
• 1985 AIME Problems/Problem 12
  ...h>, <math>B</math>, <math>C</math> and <math>D</math> be the vertices of a regular tetrahedron, each of whose edges measures <math>1</math> meter. A bug, star
  17 KB (2,837 words) - 13:34, 4 April 2024
• 1988 AIME Problems/Problem 10
  ...[face]]s 12 [[square]]s, 8 [[regular polygon|regular]] [[hexagon]]s, and 6 regular [[octagon]]s. At each [[vertex]] of the polyhedron one square, one hexagon,
  5 KB (811 words) - 19:10, 25 January 2021
• 1990 AIME Problems/Problem 12
  A [[regular polygon|regular]] 12-gon is inscribed in a [[circle]] of [[radius]] 12. The [[sum]] of the Plotting this regular <math>12</math>-gon on the complex plane with center as origin, and a verte
  6 KB (906 words) - 13:23, 5 September 2021
• 1990 AIME Problems/Problem 3
  ...r polygon|regular]] <math>r~\mbox{gon}</math> and <math>P_2^{}</math> be a regular <math>s~\mbox{gon}</math> <math>(r\geq s\geq 3)</math> such that each [[int The formula for the interior angle of a regular sided [[polygon]] is <math>\frac{(n-2)180}{n}</math>.
  3 KB (516 words) - 19:18, 16 April 2024
• 1991 AIME Problems/Problem 11
  ...ircle at the midpoint of the two centers. Thus, we have essentially have a regular dodecagon whose vertices are the centers of the smaller triangles circumscr
  4 KB (740 words) - 19:33, 28 December 2022
• 1993 AIME Problems/Problem 10
  ...problem can be easily visualized; it corresponds to a [[dodecahedron]] (a regular solid with <math>12</math> [[equilateral]] pentagons) in which the <math>20
  4 KB (716 words) - 20:50, 17 April 2022
• 1994 AIME Problems/Problem 6
  ...mal lines into disjoint unit regular triangles, and forms a series of unit regular triangles along the edge of the hexagon. ...equilateral triangles composing the regular hexagon to the area of a unit regular triangle is just <math>\left(\frac{20/\sqrt{3}}{2/\sqrt{3}}\right)^2 = 100<
  4 KB (721 words) - 16:14, 8 March 2021
• 1997 AIME Problems/Problem 6
  .../math>, <math>A_n</math>, and <math>B</math> are consecutive vertices of a regular polygon? ...r regular polygon have <math>m</math> sides. Using the interior angle of a regular polygon formula, we have <math>\angle A_2A_1A_n = \frac{(n-2)180}{n}</math>
  3 KB (497 words) - 00:39, 22 December 2018
• 1998 AIME Problems/Problem 15
  ...resent (4,7),(7,3),(3,5) as <math>4,7,3,5 .</math> Label the vertices of a regular <math>n</math> -gon <math>1,2,3, \ldots, n .</math> Each domino is thereby Consider the segments joining the vertices of a regular <math>n</math>-gon. For odd <math>n</math>, we see that the number of segme
  9 KB (1,671 words) - 22:10, 15 March 2024

View (previous 50 | next 50) (20 | 50 | 100 | 250 | 500)