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+Title: Surface area of the Platonic solids+Definition: This table lists the surface areas of the Platonic solids CITE{Wiki} given+ that either the edge length $a$ equals $1$, the inner radius $r$ equals $1$, the+ midradius $\rho$ equals $1$, the outer radius $R$ equals $1$, or the volume $V$+ equals $1$.+Parameters:+ expression:+ display: constraint+ title: length that is constrained to be $1$+ type: Symbolic+ solid:+ display: solid+ title: Platonic solid+ type: Symbolic+Comments:+ comment-algebraic: All numbers in this table are algebraic numbers.+Formulas: {}+Programs: {}+References: {}+Links:+ Wiki:+ title: 'Wikipedia: Platonic solid'+ url: https://en.wikipedia.org/wiki/Platonic_solid+Similar tables: ''+Keywords: ''+Tags:+- elementary geometry+- algebraic+- area+- trigonometry+- discrete geometry+Data properties:+ type: R+ complete: 'yes'+Display properties:+ number-header: area+Numbers:+ unit-a:+ param-latex: $a = 1$+ numbers:+ tetrahedron: '0.866025403784438646763723170752936183471402626905190314027903489725966508454400018540573093378624287'+ cube: '3'+ octahedron: '1.732050807568877293527446341505872366942805253810380628055806979451933016908800037081146186757248575'+ dodecahedron: '10.32286440353380153655407186433165759644424502006118997524256824214321395325379738799464744832552644'+ icosahedron: '4.330127018922193233818615853764680917357013134525951570139517448629832542272000092702865466893121439'+ unit-r:+ param-latex: $r = 1$+ numbers:+ tetrahedron: '101.8233764908628435137215881430982616570163750271402612687209411353327384492717067972279024715901932'+ cube: '24'+ octahedron: '25.45584412271571087843039703577456541425409375678506531718023528383318461231792669930697561789754830'+ dodecahedron: '7.476707849886436060953781114889167137933914190223891106284512521681299844414645683783780524542428483'+ icosahedron: '10.03105620015141858539495851348111048275478107970147852495398330442493354078047242162162596727676202'+ unit-rho:+ param-latex: $\rho = 1$+ numbers:+ tetrahedron: '19.59591794226542478557827259764713113572757984525336102746154053800768301965852021231887546483712187'+ cube: '8.485281374238570292810132345258188471418031252261688439060078427944394870772642233102325205965849436'+ octahedron: '13.85640646055101834821957073204697893554244203048304502444645583561546413527040029664916949405798860'+ dodecahedron: '4.602188132372894015023435983020989182377126995335495728067413344344215395451591506512123079332599428'+ icosahedron: '8.177634621393245962487454335413097538946223953416591409519196144192341162387579187139900066883527331'+ unit-R:+ param-latex: $R = 1$+ numbers:+ tetrahedron: '3.771236166328253463471169931225861542852458334338528195137812634641953275898952103601033424873710860'+ cube: '4.618802153517006116073190244015659645180814010161015008148818611871821378423466765549723164685996201'+ octahedron: '4.898979485566356196394568149411782783931894961313340256865385134501920754914630053079718866209280469'+ dodecahedron: '3.751849481701597997202786938152175693346874556623280513227186075744627102817853163690612667362233490'+ icosahedron: '5.033634289459275878823026814148517672302837591763241005186846009207711216279421605087592392983770267'+ unit-V:+ param-latex: $V = 1$+ numbers:+ tetrahedron: '7.348469228349534294591852224117674175897842441970010385298077701752881132371945079619578299313920704'+ cube: '3'+ octahedron: '3.674234614174767147295926112058837087948921220985005192649038850876440566185972539809789149656960352'+ dodecahedron: '1.347083929738756117325835455392580362737637446963250558183435902506422669437062479789291732528027741'+ icosahedron: '1.984753614748822493104610437102826234993241084209326586369770758363473938184131616586226775119608313'
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