İsim | Resim | Ses | Yüzey alanı | Küresellik |
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Platonik Katılar |
dörtyüzlü | ![Tetrahedron](//upload.wikimedia.org/wikipedia/commons/thumb/8/83/Tetrahedron.jpg/50px-Tetrahedron.jpg) | ![frac { sqrt {2}} {12} , s ^ 3](https://wikimedia.org/api/rest_v1/media/math/render/svg/3da3f10f8e69519758e3add79b084aadb89fcb6b) | ![sqrt {3} , s ^ 2](https://wikimedia.org/api/rest_v1/media/math/render/svg/688ed2db55d34f091a892d2f9bd9041bdf08c38e) | ![left ( frac { pi} {6 sqrt {3}} right) ^ { frac {1} {3}} yaklaşık 0,671](https://wikimedia.org/api/rest_v1/media/math/render/svg/6bf49099c1d7d3bf83fb9e3922e577083e25082c) |
küp (altı yüzlü) | ![Hexahedron (küp)](//upload.wikimedia.org/wikipedia/commons/thumb/7/78/Hexahedron.jpg/50px-Hexahedron.jpg) | ![, s ^ 3](https://wikimedia.org/api/rest_v1/media/math/render/svg/ed5d69eb840206033f31cc7f04a84f2433b9215c) | ![6 , s ^ 2](https://wikimedia.org/api/rest_v1/media/math/render/svg/7916dd2b547c0e18f1d3844e064887b15b3f0506) | ![ayrıldı(
frac { pi} {6}
sağ) ^ { frac {1} {3}} yaklaşık 0.806](https://wikimedia.org/api/rest_v1/media/math/render/svg/3473c51f402f45583c4dbc6c8d5fa1b2e5ee23dd)
|
sekiz yüzlü | ![Oktahedron](//upload.wikimedia.org/wikipedia/commons/thumb/0/07/Octahedron.svg/50px-Octahedron.svg.png) | ![frac {1} {3} sqrt {2} , s ^ 3](https://wikimedia.org/api/rest_v1/media/math/render/svg/e81c155bb9f996ec68ca0d45856b8d190cc1db5d) | ![2 sqrt {3} , s ^ 2](https://wikimedia.org/api/rest_v1/media/math/render/svg/b27b15f7ae2f83b40c853a81b2fb6db0dd031221) | ![ayrıldı(
frac { pi} {3 sqrt {3}}
sağ) ^ { frac {1} {3}} yaklaşık 0,846](https://wikimedia.org/api/rest_v1/media/math/render/svg/1ba1640f3a7f94233aca84298ccd15817e0f40fd)
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dodecahedron | ![Oniki yüzlü](//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Dodecahedron.svg/50px-Dodecahedron.svg.png) | ![frac {1} {4} left (15 + 7 sqrt {5} right) , s ^ 3](https://wikimedia.org/api/rest_v1/media/math/render/svg/e23f5776671fccf39c233be7ac505e54d41d7e16) | ![3 sqrt {25 + 10 sqrt {5}} , s ^ 2](https://wikimedia.org/api/rest_v1/media/math/render/svg/3e32586b50caa972551a25cd355f13747391d2e6) | ![ayrıldı(
frac { left (15 + 7 sqrt {5} right) ^ 2 pi} {12 left (25 + 10 sqrt {5} right) ^ { frac {3} {2}}}
sağ) ^ { frac {1} {3}} yaklaşık 0,910](https://wikimedia.org/api/rest_v1/media/math/render/svg/e22597636654af5401bff414640122d0f0840f65)
|
icosahedron | ![Icosahedron](//upload.wikimedia.org/wikipedia/commons/thumb/e/eb/Icosahedron.jpg/50px-Icosahedron.jpg) | ![frac {5} {12} left (3+ sqrt {5} right) , s ^ 3](https://wikimedia.org/api/rest_v1/media/math/render/svg/03e24a61af395f64b1ecb1fedc83a611123d8c02) | ![5 sqrt {3} , s ^ 2](https://wikimedia.org/api/rest_v1/media/math/render/svg/b1f2d761abdd4325fa685a4c93ae19cfd6cd9669) | ![ayrıldı(
frac { left (3 + sqrt {5} right) ^ 2 pi} {60 sqrt {3}}
sağ) ^ { frac {1} {3}} yaklaşık 0,939](https://wikimedia.org/api/rest_v1/media/math/render/svg/b39e273724a16c279110f29285811326ceca3737) |
Yuvarlak Şekiller |
ideal koni
![(h = 2 sqrt {2} r)](https://wikimedia.org/api/rest_v1/media/math/render/svg/b41d4edfe7e1363748f1e12073fa49db9f9f1484) | ![Blender-mesh-cone.png](//upload.wikimedia.org/wikipedia/commons/thumb/1/10/Blender-mesh-cone.png/70px-Blender-mesh-cone.png) | ![frac {1} {3} pi , r ^ 2 h](https://wikimedia.org/api/rest_v1/media/math/render/svg/2fb835a29d18516422af9a07171f4f614a68d38d)
![= frac {2 sqrt {2}} {3} pi , r ^ 3](https://wikimedia.org/api/rest_v1/media/math/render/svg/fa444bb9896f9eb01f4c41764b3c74bfdf8bc50b)
| ![pi , r (r + sqrt {r ^ 2 + h ^ 2})](https://wikimedia.org/api/rest_v1/media/math/render/svg/a184fbddce2954ad58d33da5ede481e589edd77e)
![= 4 pi , r ^ 2](https://wikimedia.org/api/rest_v1/media/math/render/svg/44fbf80ab288d22aa14cce7a90016a98f1e8590e)
| ![ayrıldı(
frac {1} {2}
sağ) ^ { frac {1} {3}} yaklaşık 0,794](https://wikimedia.org/api/rest_v1/media/math/render/svg/d0687f45583c310f2b225b8fddb4344e9111f9b9) |
yarım küre (yarım küre) | ![Küre simetri grubu cs.png](//upload.wikimedia.org/wikipedia/commons/thumb/c/cb/Sphere_symmetry_group_cs.png/70px-Sphere_symmetry_group_cs.png) | ![frac {2} {3} pi , r ^ 3](https://wikimedia.org/api/rest_v1/media/math/render/svg/79c842344613977071cf32ea52cbb6ebe376587d) | ![3 pi , r ^ 2](https://wikimedia.org/api/rest_v1/media/math/render/svg/edf79bb2c7b15c738f134fed941d660c3e773bb0) | ![ayrıldı(
frac {16} {27}
sağ) ^ { frac {1} {3}} yaklaşık 0,840](https://wikimedia.org/api/rest_v1/media/math/render/svg/ddb75ff5c593249f241060cb53a4614cca891d3d)
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ideal silindir
![(h = 2 , r)](https://wikimedia.org/api/rest_v1/media/math/render/svg/26b3f6b49c468bc9dfffda2ed79fc475ebb08684) | ![Dairesel silindir rh.svg](//upload.wikimedia.org/wikipedia/commons/thumb/3/36/Circular_cylinder_rh.svg/70px-Circular_cylinder_rh.svg.png) | ![pi r ^ 2 h = 2 pi , r ^ 3](https://wikimedia.org/api/rest_v1/media/math/render/svg/8255388546ce1ea30f834dec9dfee51c1b19c21c) | ![2 pi r (r + h) = 6 pi , r ^ 2](https://wikimedia.org/api/rest_v1/media/math/render/svg/6c2ff044ab05ffbd462cd58bd0faf2be1cbc98eb) | ![ayrıldı(
frac {2} {3}
sağ) ^ { frac {1} {3}} yaklaşık 0,874](https://wikimedia.org/api/rest_v1/media/math/render/svg/53b7b678be59318ac2e67fbe97116009abe0867b)
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ideal simit
![(R = r)](https://wikimedia.org/api/rest_v1/media/math/render/svg/7b07192e98bfd8aca9f5b97095329edc163da035) | ![Torus.png](//upload.wikimedia.org/wikipedia/commons/thumb/1/17/Torus.png/70px-Torus.png) | ![2 pi ^ 2 R r ^ 2 = 2 pi ^ 2 , r ^ 3](https://wikimedia.org/api/rest_v1/media/math/render/svg/8cfe3f7cd7064a3e755dc93c2cfdc46d5c7edc9e) | ![4 pi ^ 2 R r = 4 pi ^ 2 , r ^ 2](https://wikimedia.org/api/rest_v1/media/math/render/svg/1425394b055b4d37ca6bc77ca791c7782b40917f) | ![ayrıldı(
frac {9} {4 pi}
sağ) ^ { frac {1} {3}} yaklaşık 0,894](https://wikimedia.org/api/rest_v1/media/math/render/svg/15f786cdca156ad0df894dfd3c19e8ebd5ab995e)
|
küre | ![Küre tel kafes 10deg 6r.svg](//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Sphere_wireframe_10deg_6r.svg/70px-Sphere_wireframe_10deg_6r.svg.png) | ![{ frac {4} {3}} pi r ^ {3}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7112cb504e1399319cb9edbc622d1c4609fd56e3) | ![4 pi , r ^ 2](https://wikimedia.org/api/rest_v1/media/math/render/svg/46aec7aefac8ae0d6fa159712232d1ddd7533f58) | ![1\,](https://wikimedia.org/api/rest_v1/media/math/render/svg/bfd1e7984fe6e1b79a26404a8138a6c6ee41a476)
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Diğer Şekiller |
eşkenar dörtgen triacontahedron | ![eşkenar dörtgen triacontahedron](//upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Rhombictriacontahedron.svg/50px-Rhombictriacontahedron.svg.png) | ![{ displaystyle 4 { sqrt {5 + 2 { sqrt {5}}}} , s ^ {3}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4fc3799f4c0d0c50d8e839f6106891366989fe1c) | ![{ displaystyle 12 { sqrt {5}} , s ^ {2}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a89f0d45d6f2875e14f6e1d3258fba17aad8222a) | ![{ displaystyle { frac { pi ^ { frac {1} {3}} left (24 { sqrt {5 + 2 { sqrt {5}}}} , s ^ {3} sağ) ^ { frac {2} {3}}} {12 { sqrt {5}} , s ^ {2}}} yaklaşık 0,9609}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a08e3db7586ff43564fa121357ad114bc05e6078) |
disdyakis triacontahedron | ![Disdyakis triacontahedron](//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Disdyakistriacontahedron.jpg/50px-Disdyakistriacontahedron.jpg) | ![{ displaystyle { frac {180} {11}} { sqrt {179-24 { sqrt {5}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3a3849022f51e5ad449a6eacf7828d0944fdfc4e) | ![{ displaystyle { frac {180} {11}} left (5 + 4 { sqrt {5}} sağ)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2ca8f547d5599b5f388ef7a5ad3cc3b64872ce41) | ![{ displaystyle { frac { sol ( sol (5 + 4 { sqrt {5}} sağ) ^ {2} { frac {11 pi} {5}} sağ) ^ { frac { 1} {3}}} { sqrt {179-24 { sqrt {5}}}}} yaklaşık 0,9857}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b53c13b92a8f83a8c1ebf2d5507299aca9cbbef7) |