Mystery Cache

Dodekaedr

A cache by Irigi&Maruska Send Message to Owner Message this owner
Hidden : 8/25/2007
In Zlinsky kraj, Czech Republic
Difficulty:
3.5 out of 5
Terrain:
1.5 out of 5

Size: Size: small (small)

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Geocache Description:



Dodekaedr



Dodekaedr je libovolny mnohosten s dvanacti stenami, ale obvykle se jim rozumi pravidelny dvanactisten: Platonske teleso slozene z dvanacti sten - pravidelnych petiuhelniku tak, ze se potkavaji vzdy tri steny v jednom vrcholu. Ma dvacet (20) vrcholu a tricet (30) hran. Jeho dualnim mnohostenem je ikosaedr. Podle starych Reku byl dvanactisten symbolem vesmiru.
  • Na mnoha mistech Evropy byl nalezen maly bronzovy "rimsky dvanactisten" z tretiho stoleti n.l. Jejich ucel neni presne znamy.
  • Na M. C. Escherove kamenotisku "Plazi" (1943) se na stole nachazi dvanactisten. V dile "Gravitace" je pouzit hvezdicovity dvanactisten.
  • V kresbe Salvadora Dalího Posledni vecere (1955) je mistnost dutym dvanactistenem.
  • 20 vrcholu a 30 hran dodekaedru tvori mapu starsi pocitacove hry Hunt the Wumpus.
  • V serialu Simpsonovi v dile Krevni msta se Liza pokousi naucit Maggie slovo dodekaedr.
  • "Dodekaedr" je nazev pisne skupiny Aphex Twin.
  • V roce 2003 napadna pravidelnost v kosmickem pozadi tvorenem reliktnim zarenim vedla k hypoteze, ze vesmir ma tvar konecneho dvanactistenu, jehoz protejsi steny jsou napojeny navzajem na sebe a tvori tzv. Poincareho homologickou sferu. Autory hypotezy jsou Jean-Pierre Luminet z Observatoire de Paris a jeho kolegove. V nasledujicim roce se hledali dukazy, ktere by hypotezu podporily, ale zadne se nenasly.
  • Ve hre pro Nintendo 64, Paper Mario, jsou hory na pozadi Toad Townu dvanactisteny.
  • Body, kde je ve hrach Castlevania, Castlevania: Symphony of the Night (pro PSX) a Castlevania: Harmony of Dissonance (GBA) mozne ulozeni hry maji tvar dvanactistenu.
  • Je-li na kazde hrane dvanactistenu rezistor s odporem 1 ohm, odpor mezi prilehlymi vrcholy je 19/30 ohmu, mezi protilehlymi 7/6 ohmu.
  • Pravidelny dodekaedr je casto vedle dalsich platonskych teles uzivan v hrach na hrdiny jako dvanactistenna kostka (k12).
  • Platon v dile Timaeus (~360 pr.n.l.) ztotoznil platonska telesa s zivly. Dodekaedr predstavoval vodu.

--Wikipedie, Otevrena encyklopedie, volny preklad anglicke verze





A dodecahedron is any polyhedron with twelve faces, but usually a regular dodecahedron is meant: a Platonic solid composed of twelve regular pentagonal faces, with three meeting at each vertex. It has twenty (20) vertices and thirty (30) edges. Its dual polyhedron is the icosahedron. To the ancient Greeks, the dodecahedron was a symbol of the universe.


  • Small, hollow bronze "Roman dodecahedra" dating from the 3rd century A.D. have been found in various places in Europe. Their purpose is not certain.
  • A dodecahedron sits on the table in "M. C. Escher's" lithograph print "Reptiles" (1943), and a stellated dodecahedron is used in his "Gravitation".
  • In Salvador Dalí's painting of The Sacrament of the Last Supper (1955), the room is a hollow dodecahedron.
  • The 20 vertices and 30 edges of a dodecahedron form the map for an early computer game, Hunt the Wumpus.
  • One of the characters in The Phantom Tollbooth, a children's novel from 1961, is named Dodecahedron and is a man with 12 faces.
  • The Dodecahedron was the mysterious power source for an underground city in the Doctor Who episode Meglos (1980).
  • In the Carl Sagan book Contact, the transport device constructed to the plans transmitted by the alien intelligence is dodecahedral in shape.
  • In the episode Blood Feud of The Simpsons, Lisa attempts to teach Maggie the word dodecahedron.
  • "Dodecahedron" is the title of a song by Aphex Twin.
  • In 2003, an apparent periodicity in the cosmic microwave background led to the suggestion, by Jean-Pierre Luminet of the Observatoire de Paris and colleagues, that the shape of the Universe is a finite dodecahedron, attached to itself by each pair of opposite faces to form a Poincaré homology sphere. ("Is the universe a dodecahedron?", article at PhysicsWeb.) During the following year, astronomers searched for more evidence to support this hypothesis but found none.
  • In the Nintendo 64 game Paper Mario, the mountains in the background of Toad Town are dodecahedra. ([1] Image of background)
  • The save points in the Castlevania games, Castlevania: Symphony of the Night (for the PSX) and Castlevania: Harmony of Dissonance (GBA) are shaped like dodecahedrons.
  • If each edge of a dodecahedron is a one-ohm resistor, the resistance between adjacent vertices is 19/30 ohm, and that between opposite vertices is 7/6 ohm.[1]
  • The regular dodecahedron is often used in role-playing games as a twelve-sided die ("d12" for short), one of the more common polyhedral dice.
  • Plato in the dialogue Timaeus c.360 B.C associated platonic solids with elements. Dodecahedron represented water.

--Wikipedia, The Free Encyclopedia



K vyreseni kese staci "bezne dostupne" znalosti.
To solve this cache "common knowledge" is sufficient.

Kes se nachazi na volne dostupnem uzemi.
Cache is freely accessible.


Legendy

Pokud jste reseni hledali nejakym "divokym" zpusobem, overenim nemusi projit, presto muze byt blizko...



Additional Hints (Decrypt)

fgebz/gerr

qbqrxnrqe wr cenivqryal, wfbh-yv fbhenqavpr an xbhyv/qbqrpnurqeba vf erthyne vs pbbeqvangrf qrfpevor fcurer

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)



 

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Last Updated: on 6/2/2017 3:11:08 AM Pacific Daylight Time (10:11 AM GMT)
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Coordinates are in the WGS84 datum