A circle is a rotatope with no flat dimensions and two round dimensions. It is, therefore, the 2D hypersphere. It can also be considered as the set of all points that are the same distance from a point (the center of a circle) in the plane.

In the plane, a circle will roll, as it is completely round. The proof of this is that if you trace the path the middle of a circle takes when it rolls, that that is straight. Circle could not roll on other surfaces smoothly.

Equation Edit

A circle with a diameter of

$ l $ can be constructed by drawing the line that satisfies

$ 2\sqrt { { x }^{ 2 }+{ y }^{ 2 } } ={ l } $ .

Hypervolumes Edit

Subfacets Edit

A circle has no zero-dimensional subfacets. Its only one-dimensional subfacet is its edge, which is also, quite confusingly, called a circle. To unambiguously distinguish between the 1D length and the 2D area, the area can be called a "disc".

See AlsoEdit

Zeroth First Second Third Fourth Fifth Sixth Seventh Eighth Ninth Tenth Eleventh Twelfth Thirteenth Fourteenth Fifteenth Sixteenth Seventeenth Eighteenth Nineteenth Twentieth Twenty-first Twenty-second Twenty-third Twenty-fourth Twenty-fifth Twenty-sixth Twenty-seventh Twenty-eighth Twenty-ninth Thirtieth Thirty-first Thirty-second Thirty-third Thirty-fourth Thirty-fifth Thirty-sixth Thirty-seventh Thirty-eighth Thirty-ninth Fortieth
Simplex Point Line Triangle Tetrahedron Pentachoron Hexateron Heptapeton Octaexon Enneazetton Decayotton Hendecaxennon Dodecadakon Tredecahendakon Quattuordecadokon Quindecatradakon Sexdecateradakon Septendecapetadakon Octodecaexadakon Novemdecazekadakon Icosayokadakon Henicosanekadakon Doicosahotadakon Treicosadakhotadakon Quattuoricosaikhotadakon Quinicosatrakhotadakon Sexicosatekhotadakon Septenicosapekhotadakon Octoicosaexakhotadakon Novemicosazekhotadakon Triacontayokhotadakon Hentriacontanekhotadakon Dotriacontabotadakon Tretriacontadakbotadakon Quattuortriacontaikbotadakon Quintriacontatrakbotadakon Sextriacontatekbotadakon Septentriacontapekbotadakon Octotriacontaexakbotadakon Novemtriacontazekbotadakon Tetracontayokbotadakon Untetracontanekbotadakon
Hypercube Point Line Square Cube Tesseract Penteract Hexeract Hepteract Octeract Enneract Dekeract Undekeract Dodekeract Tredekeract Quattuordekeract Quindekeract Sexdekeract Septendekeract Octodekeract Novemdekeract Icoseract Unicoseract Doicoseract Treicoseract Quattuoricoseract Quinicoseract Sexicoseract Septenicoseract Octoicoseract Novemicoseract Triaconteract Untriaconteract Dotriaconteract Tretriaconteract Quattuortriaconteract Quintriaconteract Sextriaconteract Septentriaconteract Octotriaconteract Novemtriaconteract Tetraconteract
Cross Point Line Triangle Octahedron Tetrarss Pentarss Hexarss Heptarss Octarss Ennearss Decarss Hendecarss Dodecarss Tredecarss Quattuordecarss Quindecatrarss Sexdecaterarss Septendecapetarss Octodecaexarss Novemdecazettarss Icosayottarss Henicosaxennarss Doicosadakarss Treicosahendarss Quattuoricosadokarss Quinicosatradakarss Sexicosatedakarss Septenicosapedakarss Octoicosaexdakarss Novemicosazedakarss Triacontayodakarss Hentriacontanedakarss Dotriacontaikarss Tretriacontaikenarss Quattuortriacontaicodarss Quintriacontaictrarss Sextriacontaicterarss Septentriacontaikpetarss Octotriacontaikectarss Novemtriacontaiczetarss Tetracontaicyotarss
Hypersphere Point Line Circle Sphere Glome Hyperglome Hexaphere Heptaphere Octaphere Enneaphere Decaphere Hendecaphere Dodecaphere Tredecaphere Quattuordecaphere Quindecatraphere Sexdecateraphere Septendecapetaphere Octodecaexaphere Novemdecazekaphere Icosayokaphere Henicosanekaphere Doicosahotaphere Treicosadakhotaphere Quattuoricosaikhotaphere Quinicosatrakhotaphere Sexicosatekhotaphere Septenicosapekhotaphere Octoicosaexakhotaphere Novemicosazekhotaphere Triacontayokhotaphere Hentriacontanekhotaphere Dotriacontabotaphere Tretriacontadakbotaphere Quattuortriacontaikbotaphere Quintriacontatrakbotaphere Sextriacontatekbotaphere Septentriacontapekbotaphere Octotriacontaexakbotaphere Novemtriacontazekbotaphere Tetracontayokbotaphere
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