Jump to content
Main menu
Main menu
move to sidebar
hide
Navigation
Main page
Recent changes
Random page
Help about MediaWiki
Special pages
Niidae Wiki
Search
Search
Appearance
Create account
Log in
Personal tools
Create account
Log in
Pages for logged out editors
learn more
Contributions
Talk
Editing
Equilateral triangle
(section)
Page
Discussion
English
Read
Edit
View history
Tools
Tools
move to sidebar
hide
Actions
Read
Edit
View history
General
What links here
Related changes
Page information
Appearance
move to sidebar
hide
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
== References == === Notes === {{Reflist}} === Works cited === {{refbegin|25em}} * {{cite book | last1 = Alsina | first1 = Claudi | last2 = Nelsen | first2 = Roger B. | year = 2010 | title = Charming Proofs: A Journey Into Elegant Mathematics | publisher = [[Mathematical Association of America]] | isbn = 9780883853481 }} * {{cite book | last1 = Alsina | first1 = Claudi | last2 = Nelsen | first2 = Roger B. | year = 2015 | title = A Mathematical Space Odyssey: Solid Geometry in the 21st Century | volume = 50 | publisher = [[Mathematical Association of America]] | isbn = 978-1-61444-216-5 }} * {{cite journal | last1 = Bankoff | first1 = Leon | last2 = Garfunkel | first2 = Jack | title = The heptagonal triangle | journal = [[Mathematics Magazine]] | volume = 46 | issue = 1 | date = January 1973 | pages = 7–19 | doi = 10.1080/0025570X.1973.11976267 }} * {{cite journal | last = Berman | first = Martin | year = 1971 | title = Regular-faced convex polyhedra | journal = Journal of the Franklin Institute | volume = 291 | issue = 5 | pages = 329–352 | doi = 10.1016/0016-0032(71)90071-8 | mr = 290245 }} * {{cite journal | last = Cerin | first = Zvonko | title = The vertex-midpoint-centroid triangles | journal = [[Forum Geometricorum]] | year = 2004 | volume = 4 | pages = 97–109 | url = http://forumgeom.fau.edu/FG2004volume4/FG200413.pdf }} * {{cite book | last1 = Carstensen | first1 = Celine | last2 = Fine | first2 = Celine | last3 = Rosenberger | first3 = Gerhard | title = Abstract Algebra: Applications to Galois Theory, Algebraic Geometry and Cryptography | year = 2011 | url = https://books.google.com/books?id=X1SJ_ywbgy8C&pg=PA156 | page = 156 | publisher = [[De Gruyter]] | isbn = 978-3-11-025009-1 }} * {{cite book | last = Chakerian | first = G. D. | editor-last = Honsberger | editor-first = R. | year = 1979 | contribution = Chapter 7: A Distorted View of Geometry | contribution-url = https://books.google.com/books?id=nF_0DwAAQBAJ&pg=PA147 | title = Mathematical Plums | location = Washington DC | publisher = [[Mathematical Association of America]] | page = 147 }} * {{cite book | last1 = Conway | first1 = J. H. | author-link1 = John Horton Conway | last2 = Guy | first2 = R. K. | author-link2 = Richard K. Guy | title = The Book of Numbers | title-link = The Book of Numbers (math book) | year = 1996 | publisher = Springer-Verlag }} * {{cite book | last = Coxeter | first = H. S. M. Coxeter | author-link = Harold Scott MacDonald Coxeter | url = https://archive.org/details/regularpolytopes0000hsmc | url-access = registration | title = Regular Polytopes | publisher = [[Methuen Publishing|Methuen & Co. LTD.]] | edition = 1 | year = 1948 | location = London | oclc = 4766401 | zbl = 0031.06502 }} * {{cite book | last = Cromwell | first = Peter R. | title = Polyhedra | year = 1997 | publisher = [[Cambridge University Press]] | isbn = 978-0-521-55432-9 }} * {{cite book | last = Dörrie | first = Heinrich | title = 100 Great Problems of Elementary Mathematics | year = 1965 | publisher = [[Dover Publications]] }} * {{cite journal | last1 = Grünbaum | first1 = Branko | author-link = Branko Grünbaum | last2 = Shepard | first2 = Geoffrey | author-link2 = G.C. Shephard | title = Tilings by Regular Polygons | date = November 1977 | url = http://www.maa.org/sites/default/files/images/upload_library/22/Allendoerfer/1978/0025570x.di021102.02p0230f.pdf | journal = [[Mathematics Magazine]] | volume = 50 | issue = 5 | publisher = Taylor & Francis, Ltd. | pages = 231–234 | doi = 10.2307/2689529 | jstor = 2689529 | mr = 1567647 | zbl = 0385.51006 | access-date = 2023-03-09 | archive-date = 2016-03-03 | archive-url = https://web.archive.org/web/20160303235526/http://www.maa.org/sites/default/files/images/upload_library/22/Allendoerfer/1978/0025570x.di021102.02p0230f.pdf | url-status = dead }} * {{cite book | last = Guillermo | first = Artemio R. | title = Historical Dictionary of the Philippines | publisher = Scarecrow Press | year = 2012 | isbn = 978-0810872462 }} * {{cite book | last1 = Harris | first1 = John W. | last2 = Stocker | first2 = Horst | year = 1998 | title = Handbook of mathematics and computational science | publisher = New York: Springer-Verlag | isbn = 0-387-94746-9 | mr = 1621531 }} * {{cite book | last = Herz-Fischler | first = Roger | year = 2000 | isbn = 0-88920-324-5 | publisher = Wilfrid Laurier University Press | title = The Shape of the Great Pyramid }} * {{cite conference | last1 = Horiyama | first1 = Takayama | last2 = Itoh | first2 = Jin-ichi | last3 = Katoh | first3 = Naoi | last4 = Kobayashi | first4 = Yuki | last5 = Nara | first5 = Chie | contribution = Continuous Folding of Regular Dodecahedra | date = 14–16 September 2015 | title = Discrete and Computational Geometry and Graphs | editor-last1 = Akiyama | editor-first1 = Jin | editor-last2 = Ito | editor-first2 = Hiro | editor-last3 = Sakai | editor-first3 = Toshinori | editor-last4 = Uno | editor-first4 = Yushi | conference = Japanese Conference on Discrete and Computational Geometry and Graphs | location = Kyoto | doi = 10.1007/978-3-319-48532-4 | isbn = 978-3-319-48532-4 }} * {{cite book | last1 = Křížek | first1 = Michal | last2 = Luca | first2 = Florian | last3 = Somer | first3 = Lawrence | doi = 10.1007/978-0-387-21850-2 | isbn = 978-0-387-95332-8 | location = New York | mr = 1866957 | publisher = Springer-Verlag | series = CMS Books in Mathematics | title = 17 Lectures on Fermat Numbers: From Number Theory to Geometry | volume = 9 | year = 2001 }} * {{cite book | last = Lardner | first = Dionysius | year = 1840 | title = A Treatise on Geometry and Its Application in the Arts | url = https://archive.org/details/atreatiseongeom00lardgoog/page/n75/mode/1up?view=theater | publisher = The Cabinet Cyclopædia | location = London }} * {{cite journal | last = Lee | first = Hojoo | title = Another proof of the Erdős–Mordell Theorem | journal = [[Forum Geometricorum]] | year = 2001 | volume = 1 | pages = 7–8 | url = http://forumgeom.fau.edu/FG2001volume1/FG200102.pdf | access-date = 2012-05-02 | archive-date = 2023-06-16 | archive-url = https://web.archive.org/web/20230616144201/https://forumgeom.fau.edu/FG2001volume1/FG200102.pdf | url-status = dead }} * {{cite book | last1 = McMullin | first1 = Daniel | last2 = Parkinson | first2 = Albert Charles | year = 1936 | title = An Introduction to Engineering Mathematics | volume = 1 | publisher = [[Cambridge University Press]] }} * {{cite journal | last1 = Melissen | first1 = J. B. M. | last2 = Schuur | first2 = P. C. | doi = 10.1016/0012-365X(95)90139-C | mr = 1356610 | issue = 1–3 | journal = [[Discrete Mathematics (journal)|Discrete Mathematics]] | pages = 333–342 | title = Packing 16, 17 or 18 circles in an equilateral triangle | volume = 145 | year = 1995| url = https://research.utwente.nl/en/publications/packing-16-17-of-18-circles-in-an-equilateral-triangle(b2172f19-9654-4ff1-9af4-59da1b6bef3d).html | doi-access = free }} * {{cite book | last1 = Owen | first1 = Byer | last2 = Felix | first2 = Lazebnik | last3 = Deirdre | first3 = Smeltzer | author3-link = Deirdre Smeltzer | title = Methods for Euclidean Geometry | series = Classroom Resource Materials | volume = 37 | year = 2010 | publisher = [[Mathematical Association of America]] | location = Washington, D.C. | url = https://archive.org/details/methodsforeuclid0000byer | url-access = limited | isbn = 9780883857632 }} * {{cite book | editor1-last = Pelkonen | editor1-first = Eeva-Liisa | editor2-last = Albrecht | editor2-first = Donald | title = Eero Saarinen: Shaping the Future | url = https://archive.org/details/eerosaarinenshap0000saar | url-access = limited | publisher = [[Yale University Press]] | year = 2006 | isbn = 978-0972488129 | pages = 160, 224, 226 }} * {{cite book | last1 = Petrucci | first1 = R. H. | last2 = Harwood | first2 = W. S. | last3 = Herring | first3 = F. G. | title = General Chemistry: Principles and Modern Applications | publisher = [[Prentice Hall]] | edition = 8th | year = 2002 | isbn = 978-0-13-014329-7 }} * {{cite book | last1 = Posamentier | first1 = Alfred S. | last2 = Salkind | first2 = Charles T. | title = Challenging Problems in Geometry | url = https://archive.org/details/challengingprobl0000posa | url-access = registration | year = 1996 | publisher = [[Dover Publications]] }} * {{cite journal | last1 = Riley | first1 = Michael W. | last2 = Cochran | first2 = David J. | last3 = Ballard | first3 = John L. | date = December 1982 | doi = 10.1177/001872088202400610 | issue = 6 | journal = Human Factors: The Journal of the Human Factors and Ergonomics Society | pages = 737–742 | title = An Investigation of Preferred Shapes for Warning Labels | volume = 24 }} * {{cite book | last = Stahl | first = Saul | year = 2003 | title = Geometry from Euclid to Knots | publisher = Prentice-Hall | isbn = 0-13-032927-4 }} * {{cite journal | last1 = Svrtan | first1 = Dragutin | last2 = Veljan | first2 = Darko | title = Non-Euclidean versions of some classical triangle inequalities | journal = [[Forum Geometricorum]] | year = 2012 | volume = 12 | pages = 197–209 | url = https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=a4321872d4b35233ff2f051e155dad5666f71e94 }} * {{cite journal | last = Trigg | first = Charles W. | year = 1978 | title = An infinite class of deltahedra | journal = [[Mathematics Magazine]] | volume = 51 | issue = 1 | pages = 55–57 | doi = 10.1080/0025570X.1978.11976675 | jstor = 2689647 | mr = 1572246 }} * {{cite book | last1 = White | first1 = Steven F. | last2 = Calderón | first2 = Esthela | title = Culture and Customs of Nicaragua | publisher = Greenwood Press | year = 2008 | isbn = 978-0313339943 }} * {{cite journal | last = Whyte | first = L. L. | doi = 10.1080/00029890.1952.11988207 | journal = [[The American Mathematical Monthly]] | jstor = 2306764 | mr = 50303 | pages = 606–611 | title = Unique arrangements of points on a sphere | volume = 59 | year = 1952 | issue = 9 }} {{refend}}
Summary:
Please note that all contributions to Niidae Wiki may be edited, altered, or removed by other contributors. If you do not want your writing to be edited mercilessly, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource (see
Encyclopedia:Copyrights
for details).
Do not submit copyrighted work without permission!
Cancel
Editing help
(opens in new window)
Search
Search
Editing
Equilateral triangle
(section)
Add topic