The report discusses examples of modeling the surface of a cylindroid in the point calculus. Flat curves are used as guides, and the generators are straight lines parallel to a certain plane. Ellipses are used as an example of guides. Several special cases are presented, resulting in different variants of Catalan surfaces.
point calculus, Catalan surfaces, cylindroid, conoid, ellipse
1. Balyuba I.G. Tochechnoe ischislenie. Istoricheskaya spravka i osnovopolagayuschie opredeleniya / I.G. Balyuba E.V. Konopackiy. Fiziko-tehnicheskaya informatika (CPT2020): Materialy 8-oy Mezhdunarodnoy konferencii, Puschino, Moskovskaya obl., 09–13 noyabrya 2020 goda. Tom Chast' 2. – Nizh. Novgorod: Avtonomnaya nekommercheskaya organizaciya v oblasti informacionnyh tehnologiy «Nauchno-issledovatel'skiy centr fiziko-tehnicheskoy informatiki», 2020. S. 321-327. DOIhttps://doi.org/10.30987/conferencearticle_ 5fd755c0adb1d9.27038265. DOI: https://doi.org/10.30987/conferencearticle_5fd755c0adb1d9.27038265; EDN: https://elibrary.ru/DOMLNV
2. Ivaschenko A.V. Modelirovanie poverhnosti cilindroida sredstvami CAD- sistem / A.V. Ivaschenko, A.V. Stepura // Perspektivy nauki. – 2023. – № 1(160). – S. 121-124. EDN: https://elibrary.ru/MHRRUD
3. Krivoshapko S.N. Primenenie konoida i cilindroida pri formoobrazovanii zdaniy i sooruzheniy obolochechnogo tipa / Stroitel'stvo i rekonstrukciya. 2017. №5(73). S.34-44. EDN: https://elibrary.ru/ZUCUTX
4. Mamieva I.A. Analiticheskie poverhnosti dlya parametricheskoy arhitektury v sovremennyh zdaniyah i sooruzheniyah / I.A. Mamieva // Academia. Arhitektura i stroitel'stvo. – 2020. – № 1. – S. 150-165.Astahova T.A. Uchastie v nauchno-issledovatel'skoy rabote studentov vuza kak sredstvo aktivizacii samostoyatel'noy raboty // Innovacionnye tehnologii v inzhenernoy grafike: problemy i perspektivy: sbornik trudov Mezhdunar. nauch.-praktich. konf. NGASU, BGTU. 2019. S. 27–30. EDN: https://elibrary.ru/KNYKTY
5. Modelirovanie krivyh 2-go poryadka i poverhnostey obolochek inzhenernyh sooruzheniy na ih osnove / E.V. Konopackiy, O.S. Voronova, S.I. Rotkov [i dr.] // Stroitel'stvo i tehnogennaya bezopasnost'. – 2021. – № 22(74). – S. 101-110. – DOIhttps://doi.org/10.37279/2413-1873-2021-22-101-110. EDN: https://elibrary.ru/SPNBPW
6. Sal'kov N.A. Klassifikaciya lineychatyh poverhnostey / N. A. Sal'kov // Geometriya i grafika. – 2024. – T. 12, № 3. – S. 3-12. – DOIhttps://doi.org/10.12737/2308-4898-2024-12-3-3-12. EDN: https://elibrary.ru/SVGSHK
7. Teoreticheskie osnovy tochechnogo ischisleniya kak matematicheskogo apparata geometricheskogo i komp'yuternogo modelirovaniya / I.G. Balyuba, A.V. Naydysh, E.V. Konopackiy [i dr.] // Vestnik komp'yuternyh i informacionnyh tehnologiy. – 2023. – T. 20, № 2(224). – S. 3-15. – DOIhttps://doi.org/10.14489/vkit.2023.02. pp.003-015. DOI: https://doi.org/10.14489/vkit.2023.02.pp.003-015; EDN: https://elibrary.ru/ZULQCQ
