Polihedron
Многогранник
다면체
Polyèdre
Πολύεδρο
Políedre
Poliedro
多面体
Veelvlak
Polyeder
عديد السطوح
Polaihéadrán
Mnohostěn
Wielościan
Polyhedron
Pluredro
five elements in each Platonic solids, but the assignment drawing was by Kepler's Harmonices Mundi
Top left to bottom right: hexagonal pyramid , truncated tetrahedron , triakis icosahedron , and triaugmented triangular prism . All of these classes are convex polyhedra.
Hexagonal pyramid.png
Kepler Tetrahedron Fire.jpg
Circogonia icosahedra.jpg
Kepler Icosahedron Water.jpg
Dymaxion projection.png
Afgeknotte driezijdige piramide.png
Triaugmented triangular prism .svg
Leonardo polyhedra.png
Fritsch map.svg
Kepler Hexahedron Earth.jpg
Kepler Octahedron Air.jpg
Kepler Dodecahedron Universe.jpg
right
Definition
Characteristics
kappale, jota rajoittaa monikulmioista koostuva yksinkertainen suljettu pinta
teleso ohraničené rovinnými mnohouholníkmi
مجسم ثلاثي الأبعاد ذو وجوه مسطحة
trojrozměrné geometrické těleso, jehož povrch se skládá z konečně mnoha stěn tvořených mnohoúhelníky
3-dimensionaler Körper ausschließlich von geraden Flächen begrenzt
bryła zbudowana z wielokątów
solido delimitato da un numero finito di facce poligonali
solido em três dimensões com faces planas
трёхмерное тело, ограниченное плоскостями
다각형들을 면으로 가지는 입체 도형
tridimensia hiperpluedro
solid in three dimensions with flat faces
cuerpo geométrico cuyas caras son planas y encierran un volumen finito
نوعی از احجام هندسی که وجه های آن از چندضلعی منتظم
বহুতল-বিশিষ্ট ঘনবস্তু
solide géométrique à faces planes
גוף גאומטרי תלת-ממדי (בעל נפח הכלוא בין פאותיו)
στερεό γεωμετρικό σχήμα που αποτελείται από επίπεδες πολυγωνικές επιφάνειες που λέγονται έδρες
cos geomètric tridimensional de cares planes i volum finit
Dymaxion map, created by the net of a regular icosahedron
A skeletal polyhedron drawn by Leonardo da Vinci to illustrate a book by Luca Pacioli
Doppio ritratto, attributed to Jacopo de' Barbari, depicting Luca Pacioli and a student studying a glass rhombicuboctahedron half-filled with water.
The triangumented triangular prism's skeleton as a graph
The radiolarian Circogonia icosahedra
A canonical polyhedron
Examples of polyhedra
surface area and volume,
topological classification and Euler characteristic,
A three-dimensional example of the more general polytope in any number of dimensions.
lines as in geodesics and diagonals,
number of faces,
vertex figures,
cs2