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414:, for the core of the forward section of the rocket (the hollow space within which the fuel burns). This design provided more surface area and greater thrust in the earlier part of a launch, and a slower burn rate and reduced thrust after the points of the star were burned away, at approximately the same time as the rocket passed the
302:, which can be described by the notation {11/2}, {11/3}, {11/4}, and {11/5}; in this notation, the number after the slash indicates the number of steps between pairs of points that are connected by edges. These same four forms can also be considered as
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399:. The star in this scroll is not one of the regular forms of the hendecagram, but instead uses lines that connect the vertices of a
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to nearly-opposite midpoints of the hendecagon's edges. 11-pointed star Girih patterns are also used on the exterior of the
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describe folding patterns for making the hendecagrams {11/3}, {11/4}, and {11/5} out of strips of paper.
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Janner, Aloysio (June 2001), "DNA enclosing forms from scaled growth forms of snow crystals",
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As with all odd regular polygons and star polygons whose orders are not products of distinct
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Abstract
Algebra: Applications to Galois Theory, Algebraic Geometry, and Cryptography
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over the hendecagrams {11/3} and {11/4} may be used to approximate the shape of
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Since 11 is prime, all hendecagrams are star polygons and not compound figures.
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Bodner, B. Lynn (2009), "The eleven–pointed star polygon design of the
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Carstensen, Celine; Fine, Benjamin; Rosenberger, Gerhard (2011),
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prefix derives from Greek ἕνδεκα (ἕν + δέκα, one + ten) meaning "
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344:'s star-shaped walls became the base of the Statue of Liberty.
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392:
770:
Bridges 2009: Mathematics, Music, Art, Architecture, Culture
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On the other hand a regular 11-gon is not constructible.
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An 11-point star-shaped cross-section was used in the
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637:, Sigma series in pure mathematics, vol. 11,
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560:O'Daffer, Phares G.; Clemens, Stanley R. (1976),
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674:Computers & Mathematics with Applications
540:Liddell, Henry George; Scott, Robert (1940),
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384:in the form of an irregular 11-point star.
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391:contains images of an 11-pointed star
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810:Encyclopedia of Space and Astronomy
672:(1986), "Symmetry in mathematics",
564:Geometry: an investigative approach
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412:Space Shuttle Solid Rocket Booster
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720:10.1016/S1463-0184(01)00005-3
608:American Mathematical Society
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286:suffix derives from γραμμῆς (
33:The four regular hendecagrams
686:10.1016/0898-1221(86)90157-4
600:; Friedrich, Thomas (2008),
362:An 11-pointed star from the
327:Hilton & Pedersen (1986)
7:
574:Exercise 7, p. 62
421:
10:
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807:Angelo, Joseph A. (2009),
735:The Hudson River Guidebook
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732:Adams, Arthur G. (1996),
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790:Islamic Geometric Design
405:Momine Khatun Mausoleum
364:Momine Khatun Mausoleum
66:Coxeter–Dynkin diagrams
16:11-pointed star polygon
372:, now the base of the
366:
345:
361:
340:
1116:Nonagon/Enneagon (9)
1046:Tangential trapezoid
788:Broug, Eric (2013),
428:Hendecagrammic prism
300:regular hendecagrams
294:Regular hendecagrams
1228:Megagon (1,000,000)
996:Isosceles trapezoid
815:Infobase Publishing
794:Thames & Hudson
708:Crystal Engineering
603:Elementary Geometry
1198:Icositetragon (24)
844:Weisstein, Eric W.
776:, pp. 147–154
740:Fordham Univ Press
367:
346:
290:) meaning a line.
1400:
1399:
1241:
1240:
1218:Myriagon (10,000)
1203:Triacontagon (30)
1167:Heptadecagon (17)
1157:Pentadecagon (15)
1152:Tetradecagon (14)
1091:Quadrilateral (4)
961:Antiparallelogram
639:Walter de Gruyter
529:
528:
374:Statue of Liberty
254:combines a Greek
221:
220:
1425:
1213:Chiliagon (1000)
1193:Icositrigon (23)
1172:Octadecagon (18)
1162:Hexadecagon (16)
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243:that has eleven
217:≈16.3636° {11/5}
215:≈49.0909° {11/4}
213:≈81.8182° {11/3}
211:≈114.545° {11/2}
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1137:Hendecagon (11)
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1026:Right trapezoid
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836:External links
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765:Topkapı Scroll
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598:Agricola, Ilka
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389:Topkapı Scroll
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256:numeral prefix
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202:Internal angle
198:
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186:Symmetry group
182:
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68:
62:
61:
60:{11/4}, {11/5}
58:{11/2}, {11/3}
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1332:Infinite skew
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1177:Icosagon (20)
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666:Hilton, Peter
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648:9783110250084
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442:Star polygons
440:
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416:sound barrier
413:
408:
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398:
395:form used in
394:
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378:New York City
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324:
323:Fermat primes
314:
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306:of a regular
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1186:>20 sides
1121:Decagon (10)
1106:Heptagon (7)
1096:Pentagon (5)
1086:Triangle (3)
981:Equidiagonal
851:
809:
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333:Applications
320:
317:Construction
312:
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275:
269:
259:
251:
249:
241:star polygon
236:
232:
228:
222:
1418:11 (number)
1382:Star-shaped
1357:Rectilinear
1327:Equilateral
1322:Equiangular
1286:Hendecagram
1130:11–20 sides
1111:Octagon (8)
1101:Hexagon (6)
1076:Monogon (1)
918:Equilateral
487:hendecagram
397:Islamic art
355:molecules.
304:stellations
264:, with the
252:hendecagram
229:hendecagram
22:Hendecagram
1407:Categories
1387:Tangential
1291:Dodecagram
1069:1–10 sides
1060:By number
1041:Tangential
1021:Right kite
848:"Polygram"
546:, Oxford:
492:dodecagram
434:References
401:hendecagon
308:hendecagon
237:endekagram
233:endecagram
196:, order 22
1367:Reinhardt
1276:Enneagram
1266:Heptagram
1256:Pentagram
1223:65537-gon
1081:Digon (2)
1051:Trapezoid
1016:Rectangle
966:Bicentric
928:Isosceles
905:Triangles
853:MathWorld
477:enneagram
467:heptagram
457:pentagram
382:star fort
370:Fort Wood
342:Fort Wood
250:The name
1342:Isotoxal
1337:Isogonal
1281:Decagram
1271:Octagram
1261:Hexagram
1062:of sides
991:Harmonic
892:Polygons
482:decagram
472:octagram
462:hexagram
422:See also
276:hendeca-
261:hendeca-
245:vertices
225:geometry
44:vertices
1362:Regular
1307:Concave
1300:Classes
1208:257-gon
1031:Rhombus
971:Crossed
694:0838152
380:, is a
288:grammēs
282:". The
268:suffix
239:) is a
206:degrees
1372:Simple
1317:Cyclic
1312:Convex
1036:Square
976:Cyclic
938:Obtuse
933:Kepler
821:
746:
692:
645:
614:
580:
349:Prisms
280:eleven
274:. The
231:(also
1347:Magic
943:Right
923:Ideal
913:Acute
774:(PDF)
393:Girih
284:-gram
271:-gram
266:Greek
40:Edges
1377:Skew
1001:Kite
896:List
819:ISBN
744:ISBN
643:ISBN
612:ISBN
578:ISBN
387:The
227:, a
42:and
767:",
716:doi
682:doi
376:in
353:DNA
235:or
223:In
191:Dih
1409::
850:,
846:,
813:,
792:,
738:,
710:,
690:MR
688:,
678:12
676:,
668:;
651:,
576:,
572:,
568:,
418:.
310:.
258:,
247:.
193:11
153:,
97:,
48:11
898:)
894:(
884:e
877:t
870:v
828:.
778:.
753:.
718::
712:4
684::
621:.
587:.
520:e
513:t
506:v
208:)
204:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
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