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Topic: Pentagonal rotunda


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In the News (Wed 16 Dec 09)

  
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pentagonal prism +------------------------------------------------------------ The pentagonal prism is a polyhedron with 10 vertices and 7 faces.
pentagonal antiprism +------------------------------------------------------------ The pentagonal antiprism is a polyhedron with 10 vertices and 12 faces.
pentagonal rotunda +------------------------------------------------------------ The pentagonal rotunda is a polyhedron with 20 vertices and 17 faces.
www.math.harvard.edu /~knill/sofia/data/polyhedra.txt   (2272 words)

  
 Johnson solid. Who is Johnson solid? What is Johnson solid? Where is Johnson solid? Definition of Johnson solid. ...
Most of the Johnson solids can be constructed from the first few ( pyramids, cupolae, and rotunda), together with the platonic and archimedean solids, prisms, antiprisms.
An octahedron would be a square bipyramid, a cuboctahedron would be a triangular gyrobicupola, and an icosidodecahedron would be a pentagonal gyrobirotunda.
An icosahedron would be a gyroelongated pentagonal bipyramid.
www.knowledgerush.com /kr/encyclopedia/Johnson_solid   (475 words)

  
 Johnson solid - Wikipedia, the free encyclopedia
Most of the Johnson solids can be constructed from the first few ( pyramids, cupolae, and rotundae), together with the Platonic and Archimedean solids, prisms, and antiprisms.
In this nomenclature, an octahedron would be a square bipyramid, a cuboctahedron would be a triangular gyrobicupola, and an icosidodecahedron would be a pentagonal gyrobirotunda.
Elongated means that a prism has been joined to the base of the solid in question or between the bases of the solids in question.
www.wikipedia.com /wiki/Johnson_solid   (545 words)

  
 Rotunda -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-11-05)
In (The discipline dealing with the principles of design and construction and ornamentation of fine buildings) architecture, a rotunda is a kind of building; see (Click link for more info and facts about rotunda (architecture)) rotunda (architecture).
In (Beautiful handwriting) calligraphy, rotunda is a kind of (Click link for more info and facts about flletter) flletter ; see (Click link for more info and facts about rotunda (script)) rotunda (script).
In (The pure mathematics of points and lines and curves and surfaces) geometry, the (Click link for more info and facts about pentagonal rotunda) pentagonal rotunda is a (Click link for more info and facts about polyhedral) polyhedral solid formed from half an (Click link for more info and facts about icosidodecahedron) icosidodecahedron.
www.absoluteastronomy.com /encyclopedia/r/ro/rotunda.htm   (123 words)

  
 CATHOLIC ENCYCLOPEDIA: Holy Sepulchre
The Holy Sepulchre, separated by excavation from the mass of rock, and surmounted by a gilded dome, was in the centre of a rotunda 65 feet in diameter.
The dome of its rotunda was rebuilt in 1868, France, Russia, and Turkey defraying the expenses.
In the middle of this rotunda is the Tomb of Christ, enclosed by the monument built in 1810 to replace the one destroyed then.
www.newadvent.org /cathen/07425a.htm   (2479 words)

  
 Rotunda
In architecture, a rotunda is a kind of building; see rotunda (architecture).
In calligraphy, rotunda is a kind of flletter ; see rotunda (script).
In geometry, the pentagonal rotunda is a polyhedral solid formed from half an icosidodecahedron.
www.arikah.net /encyclopedia/Rotunda   (93 words)

  
 Elongated pentagonal rotunda - Wikipedia, the free encyclopedia
In geometry, the elongated pentagonal rotunda is one of the Johnson solids ( J
As the name suggests, it can be constructed by elongating a pentagonal rotunda ( J
The 92 Johnson solids were named and described by Norman Johnson in 1966.
en.wikipedia.org /wiki/Elongated_pentagonal_rotunda   (97 words)

  
 Pentagonal gyrocupolarotunda - Iridis Encyclopedia   (Site not responding. Last check: 2007-11-05)
In geometry, the pentagonal gyrocupolarotunda is one of the Johnson solids ( J
As its name suggests, it is formed by joining a pentagonal cupola and a pentagonal rotunda, this being done on their decagonal faces.
As this can be done in two ways, this compound exists in two forms, the other being the pentagonal orthocupolarotunda, another Johnson solid.
www.iridis.com /Pentagonal_gyrocupolarotunda   (59 words)

  
 Toroids1
Note the central pentagon on the left hand image, the edges shown here are those joining two anti-prisms, both of which have been removed by the slicing operation.
The pentagonal faces are identical to those which would be formed had the truncated dodecahedron and the central dodecahedron been linked by pentagonal rotundas.
To link corresponding faces with a rotunda prevent the use of a further linkage (by either a rotunda or by a cupola/anti-prism) at any of the neighbouring decagonal faces.
web.ukonline.co.uk /polyhedra/toroids/toroids4.html   (478 words)

  
 Polyhedron, Polyhedra, Polytopes, ... - Numericana
We can build a pentagonal wedge with 2 regular pentagons and 2 equilateral triangles, so that all edges but one are equal.
The base of the smaller is a regular edge seen perpendicularly (and therefore at its real size), whereas the base of the larger triangle is the length we're after.
A number known as the golden ratio, which happens to be the ratio of the diagonal to the side in a regular pentagon.
home.att.net /~numericana/answer/polyhedra.htm   (4695 words)

  
 Augmenting the great vertisnub icosidodecahedron
In the same way that an icosidodecahedron is composed of two pentagonal rotundas, a great icosidodecahedron can be thought of as being composed of two 'great' pentagonal rotundas.
A variation on the theme of the centre polyhedron is to excavate each pentagrammic face with such a 'great pentagonal rotunda'.
The decagrammic faces of the 'great' pentagonal rotundas can be further augmented with decagrammic pyramids.
web.ukonline.co.uk /polyhedra/uniform/augmented/74.html   (284 words)

  
 Johnson solid   (Site not responding. Last check: 2007-11-05)
Most of the Johnson solid s can be constructed from the first few ( pyramids, cupolae, and rotunda), together with the platonic and archimedean solid s, prisms, antiprisms.
Elongated means that a prism has been joined to the base of the solid in question or between the bases of the solid s in question.
Gyroelongated means that an antiprism has been joined to the base of the solid in question or between the bases of the solid s in question.
www.portaljuice.com /johnson_solid.html   (476 words)

  
 Gyroelongated pentagonal rotunda - Wikipedia, the free encyclopedia
In geometry, the gyroelongated pentagonal rotunda is one of the Johnson solids ( J
As the name suggests, it can be constructed by gyroelongating a pentagonal rotunda ( J
It can also be seen as a gyroelongated pentagonal birotunda ( J
en.wikipedia.org /wiki/Gyroelongated_pentagonal_rotunda   (97 words)

  
 Nuts About Nets!   (Site not responding. Last check: 2007-11-05)
Indeed, two pentagonal faces of the dodecahedron are removed, six others are extended in their planes into two trapezoids and four kite-shaped quadrilaterals (“phylloids”), and the other four faces remain unchanged.
The pentagons are fuchsia, the outer trapezoids are beige and their inner counterparts are red, and the phylloids are turquoise.
To summarize, the cells of this figure are 10 truncated dodecahedra (in dark red), 100 pentagonal rotundae (in light green), and 200 tetrahedra (in light yellow).
members.aol.com /Polycell/nets.html   (7262 words)

  
 All about Johnson solid - RecipeLand.com Reference library   (Site not responding. Last check: 2007-11-05)
Since a regular polygon has angles at least 60 degrees, it follows that at most five faces meet at any vertex.
The pentagon -based pyramid is an example that actually has a degree-5 vertex.
Although in principle any regular polygon could be used as a face of a Johnson solid, it turns out that the faces of Johnson solids always have 3, 4, 5, 6, 8, or 10 sides.
www.recipeland.com /encyclopaedia/index.php/Johnson_solid   (562 words)

  
 Pentagonal rotunda -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-11-05)
In (The pure mathematics of points and lines and curves and surfaces) geometry, the pentagonal rotunda is one of the (Click link for more info and facts about Johnson solid) Johnson solid s ( J
It can be seen as half an (Click link for more info and facts about icosidodecahedron) icosidodecahedron.
The 92 Johnson solids were named and described by (Click link for more info and facts about Norman Johnson) Norman Johnson in 1966.
www.absoluteastronomy.com /encyclopedia/P/Pe/Pentagonal_rotunda.htm   (83 words)

  
 Johnson solid
They included equilateral deltahedra and dipyramids (two pyramids placed symmetrically base to base) and any irregular convex solid that can be made by sticking together triangles, squares, pentagons, and so on, in a way that happens to close.
Some of the simpler Johnson solids are assemblages of pyramids, prisms, and antiprisms; for example, a gyrobifastigium is two triangular prisms glued together with a twist.
Others are fragments of Archimedean solids; for example, a pentagonal rotunda is half an icosidodecahedron.
www.daviddarling.info /encyclopedia/J/Johnson_solid.html   (199 words)

  
 Maybe this can forecast the market trend... best Gyroelongated Triangular...   (Site not responding. Last check: 2007-11-05)
Periodia is a prediction of next sequence value, enumerated on basis of certain mathematical formula and defining its position in market cycle studied.
Rotunda (J21) Gyroelongated Triangular Cupola (J22) Gyroelongated Square Cupola (J23...
gyroelongated triangular cupola (J22) gyroelongated square cupola (J23) gyroelongated pentagonal cupola...
www.ascot.pl /th/Fourier4/Gyroelongated-Triangular....htm   (259 words)

  
 Clearing up the market cycle... best Pentagonal Rotunda   (Site not responding. Last check: 2007-11-05)
Elongated Pentagonal Cupola (J20) Elongated Pentagonal Rotunda (J21) Gyroelongated Triangular Cupola...
Pentagona l Rotunda -- from MathWorld Pentagonal Rotunda -- from MathWorld The pentagonal rotunda is a convex polyhedron consisting of half of an icosidodecahedron, with the base being filled in by a dodecagon.
Elongated Pentagonal Rotunda -- from MathWorld Elongated Pentagonal Rotunda -- from MathWorld A pentagonal rotunda adjoined to a decagonal prism which is Johnson solid J_{21}.
ascot.pl /th/Fourier5/Pentagonal-Rotunda.htm   (394 words)

  
 Kalelarga.com
In the 16th century, Venice fortified the town with a new system of defense walls on the side facing the land; the walls were reinforced with six pentagonal bastions, while a large tower was built in front of the town (in the present-day Perivoj Vladimira Nazora).
A water tank was once located here with three wells from which the water was drawn (the openings of the wells have been preserved).
In the middle of the park, the rotunda of the church of Our Lady of Health (from 1582) has been preserved, which in the 18th century had a nave added, which was later destroyed during bombardment.
www.kalelarga.com /facts/heritage.html   (432 words)

  
 entertainment of the 1904 Worlds Fair   (Site not responding. Last check: 2007-11-05)
A rotunda 76 feet square was the principal interior feature, adjoining an auditorium and reception room seating 1,500 persons.
In the center was a great square domed rotunda, with stairways of liberal proportions and dignified lines leading to the upper rooms.
The great central rotunda, pentagonal in outline, was the scene of many musical entertainment's.
www.alton.madison.k12.il.us /ahs%20pages/IDU/entertainment.html   (7048 words)

  
 Elongated pentagonal orthobirotunda -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-11-05)
In (The pure mathematics of points and lines and curves and surfaces) geometry, the elongated pentagonal orthobirotunda is one of the (Click link for more info and facts about Johnson solid) Johnson solid s ( J
As the name suggests, it can be constructed by elongating a (Click link for more info and facts about pentagonal orthobirotunda) pentagonal orthobirotunda ( J
Rotating one of the (Click link for more info and facts about pentagonal rotunda) pentagonal rotunda e ( J
www.absoluteastronomy.com /encyclopedia/E/El/Elongated_pentagonal_orthobirotunda.htm   (178 words)

  
 Johnson Polyhedra
Y5 is a pentagonal cap from an icosahedron
A diminished icosahedron is a gyroelongated pentagonal pyramid
It has three pentagon faces with an apical triangle at one end and a cap of four triangles at the other.
www.uwgb.edu /dutchs/symmetry/johnsonp.htm   (480 words)

  
 Johnson Solids
Others are fragments of Archimedean solids, e.g., a pentagonal rotunda is half an icosidodecahedron and pentagonal cupola is a part of a rhombicosidodecahedron.
These can be assembled in various convex ways, e.g., to make a pentagonal orthocupolarontunda or a pentagonal gyrocupolarotunda.
They can also be stretched out with a prism to make an elongated pentagonal orthocupolarotunda or with an antiprism to make a gyroelongated pentagonal cupolarotunda.
www.georgehart.com /virtual-polyhedra/johnson-info.html   (551 words)

  
 Meningar.com Underindex 209
rotunda - Elongated Rotunda Gyroelongated Rotunda Icosidodecahedron Pentagonal Rotunda Tr.....
Rotunda Rotunda You are now standing in the Rotunda around which the building i.....
  Left: The Rotunda with pavilions I and III to the left and pavilions II and I.....
www.meningar.com /index/index_209.html   (5838 words)

  
 test
Referencing with a stretch, Thomas Jeferson's Rotunda at the University of Virginia
Notwithstanding esoteric references, the pentagon was chosen as the geometric form which could best pay a buffering homage to the buffeting Kichissippi winds and establish the particularly important orientations to the Hintonburg skylines.
The fundamental elements of the apartment building (the public circulation core, the personal services core, the living spaces, and the balcony) are here clearly defined as experiential events in a composition that articulates the four emotive states of common contemporary urban living-- eating, social indulgence, working and sleeping.
www3.sympatico.ca /osbrissa/seca2.html   (175 words)

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