Persons: Abdymanapov Usen ( Amrit Thar )

Subject:

Specialist in the field of:

geometry and topology of helically screw knots and braids;

geometry and topology of helically screw bodies;

geometry of hologram knots and braids;

geometry of absolute knots and braids;

geometry of pathological (wild) knots and braids;

geometry of cobraidal and starhedral knots and braids;

geometry of pathological (wild) figures;

geometry of spiderweb (arachnoidal) spaces;

a helically screwed geometry and topology of space - time bodies in arbitrary dimension;

geometry of finite-dimensional normed spaces;

geometric theory of retracts;

geometric shape theory;

geometry of pathological (wild) spiral disks;

geometry of pathological (wild) cushions;

geometry of pathological (wild) skeletons;

geometry of pathological (wild) perisarks;

geometry of pathological (wild) spaces;

geometric theory of fields;

metric geometry of convex (non-convex) bodies and star bodies;

metric theory of diophantine approximation of dependent and independent variables.

He developed the following methods:

The carpet,woven from the "Yin Yang" - skeletal knot with vibrational properties or a cylindrical winding is wild of braids, intertwined from skeletal of knots (1987);

The dense of a ball, wildly intertwined with the "Yin Yang" by skeletal of knots or the densely intertwined with a spirally screw of the surface, the tortuous of a ball (1987);

The spirally screw, a folding of the geometric labyrinth or the reciprocatingly a compressable and decompressable on the spiral, a screw skeleton of knot with a folding obstacles (1987);

The rolling down a tight ball with a double, incised with a sliding bottom or the rolling down a tight ball with a incised an internal fixed of nucleus, representing the screw a sphere with reciprocatingly a compressible of turns (1988);

The jumping up and down of a tight (the beaten) the ball or the reciprocation are jumping up and down of a tight (the beaten) the ball with a damped amplitude (1988);

The shalnaya of a sphere with punctured at points or a uniformly rotating the parallel and meridian, the screw spiral of a sphere with an infinitely punctured at points (1988);

Traces of geometrical images of bodies or whateve cyclically repeating, glued to the surface of the rolling down of dense (the beaten) of a balls, ellastical, interior rubber circles with a diameter of one - third of the dense (the beaten) of a ball, uniformly deformed contracted to a point of zero dimension (1989);

A uniformly, strongly is flattened circular edges, vertiginous the spiral a screw of spheroid or the spiral a screw of whirlabout, vertiginous along the central axis is connected to the diametrically opposite poles (1989);

The spear with two pointed ends, spanned on wild skeletal braids or a dense (packed) the ball of fibrewise on the endless " Yin Yang " - wild skeletal knots, each of which is intertwined with each other via the deleted points, forming a spear with two pointed ends, spanned by wild skeletal braids (1989);

A dense the circular disk with oppositely a rotating of half - disks or a dense the circular disk is a rotating simultaneously on the central axis with opposito directions, creating a vortex flow between the sleeve of the spiral a screw of half - disks (1990);

A dense (packed) the ball with oppositely a rotating with hemispere or a dense (packed) the ball is a rotating simultaneously on the central axis with opposite directions, forming a vortex of the sleeve inside is the spiral a screw of the tunnel in the hemisphere (1990);

The concentric embedding the toroidal of cylinders or the reciprocatingly are a compressiable and decompressiable the concentric embedding of the toroidal of cylinders on a circular central axis of the torus with an inner of the spiral a screw of a channel (1990);

The Archimedean a spiral with the mirrored reflection of the turns of through deleted points, the inside out everted of a sphere or through deleted points, the turned inside out of a sphere, the incised a semi - cylindrcal by ditches from inside and outside, back - reciprocating rotating the Archimedean a spiral with the mirrored reflection of the turns (1991);

The wild a braid of a wild spheres are intertwined of bundles of the Archimedean spirals or through are a diametrically of oppositely disposed of poles, and deleted points on the parallels and meridians the wild spheres, that passed of bundles of the Archimedean spirals are intertwined the wild a braid (1991);

With the rotating movement of rolling down is a dense (packed) the ball of a wild sphere or with the rotating movement of rolling down is a dense (packed) the ball on the incised of semi - cylindrical by ditches of the Archimedean sheaves of spirals of a wild spheres (1991);

With a rotating the motion, a sliding of the dense (the beaten) of a disc on one - way, non - orientable surface with an edge, closed, a semi - cylindrical of ditches or the dense (the beaten) sliding of a disc with its a mirror image in a closed of the ring (1992);

With a rotating the motion, a rolling down of the dense (packed) of the ball on a semi - cylindrical of ditches, the twisted with three half - turns of a closed ring or the dense (packed) of the ball with his a mirror image in paradromic rings (1992);

The dense of a geometric body in the inverse image the inverted eights - infinity with one the border and one the side or the dense of a geometric body in when coiled infinity in a ring (1992);

The screw spiral with the infinite turms or an unwinding the screw spiral from the haze of the tunnel with the infinite turms (1993);

The continuously rotatable of a ball or the continuously moving across the surface of labyrinths, the rotatable of a ball with a needle covered (1993);

A closed, the spirally of the screw of the torus with a " Yin Yang " - skeletal of a sphere or the superficial of a " Yin Yang " - skeletal of knots, intertwined with one another through its the deleted are points, forming a vortex of a sphere with a rotating the motion, a rolling down on a one - way non - orientable of the surface, a spirally of the screw, a closed of the torus (1993);

The snake quaffed its tail, or strongly, tightly coiled a screw spiral, continuously an unwinding two quarters of part of the length of the within yourself, to form a closed torus with a double the untwisted of bottomed (1994);

Bordering of into the ring of shadoof of fiocks or deformed a circle the formed by a vortex of wild knots in which sequentially pushed out its center of gravity behind the outskirts, closed vortex wild knots (1994);

A closed of the torus with a center in a sheafs the Archimedean of spirals, each the tunnel of a sleeve is a connected to each other by membranes or wanderings of a " Yin Yang " - skeletal of a sphere, through the tunnels are a sheafs the Archimedean of spirals is a connected to the ends of the toroidal tunnel (1994);

The shimmering of an eye or rotationally-flikering tricuspid cats eye (1995);

A cochlear of a spiral or the geometric labyrinth of a structure consisting of a valvular capsule and the membranous a formation, an infinitely repetitive a cochlear - shaped of a valvular capsule of a curls (1995);

The pulsating a ball of braids or the compressable and decompressable to the center and from him from the sheafs with double directions of the Archimedean of spirals are intertwined a ball of braids with back - translational motion (1995);

Enveloping the thorny of ball or enveloping the spiral-helix of ball with pinnate a spiked covering (1996);

Flattened coil with two by convex discs or a strongly flattened hyperboloid of one sheet with an internal screw incision (1996);

The rolling out the balls out of the tunnel sleeves of a sheafs the Archimedean of a spiral or from a center of a sheafs the Archimedean of a spiral on its the tunnel sleeves, a clenching and unclenching with a rotating movement is a rolling out the balls towards the abyss (1996);

A raging a fiery of ring or a progressive rotating about the central axis the vortex torus (1997);

Wild yataghan or a screw coiled yataghan knot with infinite bending (1997);

The moving with a reciprocating motion on the surface of the screw spiral, a closed circle with a rotating ball around himself or the dense (packed) the ball rolls down the incised semi - cylindrical ditches a closed circle with a reciprocating motion in the up and down, the moving sequentially and synchronously in contact with the edges on the surface of the screw spiral (1997);

The screw infinite a tunnel or a rotating Archimedean spiral with mirrored the turns of the rotating circles with signs curves Ying Yang with one deleted point (1998);

Furrowing the ball with double labyrinth bottoms or rolling the tight ball notched from inside and outside with a double Archimedean spiral in which is diametrically is opposite in his the curls are moving balls (1998);

A guiding whirlwind trail of a spiral screw sphere or with a rotating motion rolling down the surface of a closed spiral screw sphere, with reciprocating motion the horizontally and vertically untwisting and twisting along the central axis, relative to the surface of a spiral screw sphere - a spiral screw disk with sleeves stretched in wild braids intertwined from the sheafs of the Archimedean wild spiral (1998);

A compressible stars with special particularity (1999);

Geometrization of the screw surface of curves of geometric bodies (1999);

A geometric screw spiral with a guiding tunnel or tightly twisting compressing and maximizing the untwisting decompressing of screw spiral with infinite sleeves, each of which is a tunnel leading to the abyss with a twisted surface (1999);

A wild of a membrane or from the sheaf of a conch - like geometric bodies are a intwisted of braids, a stretched in the curls (2000);

The roofing slate or the deformed of a geometric body along some direction or the radial deformation of a tubular geometric body (2000);

The space of infinitely strongly curved traces of geometric bodies or of all the infinite sleeves of a screw spiral squeezed out onto the outskirts - geometric bodies (2000);

The topological corrugated of a dense (packed) ball or a dense (packed) ball with a topologically corrugated, a spirally screw of the spheroidal core (2001);

The isogonal a trajectory of bundle of wild knots or continuously untwisted a turns of the vortex of a screw spiral (2001);

The vortex of a fractal or continuously untwisted along the screw spiral infinite of vortical the turns (2001);

The bundle of a screw spiral with a corrugated membranes or a strongly twisting compressing and the untwisting decompressing of the bundle of a screw spirals with a corrugated of a coils, each of which is a stretched by a screw spirals (2002);

A wild torsional spiral knot or rotatable along the central axis torus on the twisted wild spiral knot (2002);

Compressible and decompressible of the whirling star or compressible and decompressible of the tornado confluent pole (2002);

A strongly flattened one - sheeted hyperboloid with zero angular coefficient or the rotating along the central axis a closed torus with outside equatorial of a incision (2003);

Infinite vortex spiral or a vortex spiral with a crater tending to infinity (2003);

The rotating winding of braids around the geometric body or the translational rotation of winding intertwined of braids, around the spiral-helix axis of the geometric body (2003);

The topological a spirally screw of a sphere with a pinnately acicular of surface or the continuously contracting to the center, a fractal, a spirally screw of a sphere (2004);

Continuous infinity or infinity with two twists, constantly aspiring towards the abyss (2004);

Wild scaly ball or sequentially folded back with a scaly covering, spiral-helix-tubular ball, bonding conductor poles (2004);

The ghost spirally screw of a sphere with the spirally screw of a disks or the corrugated a spirally screw of a sphere with a vortex of a coils (2005);

Periodic spiral or rotatable along the central axis and twitching on the vertical axis in the up and down with an amplitude of the vortex spiral (2005);

The wandeping of a spiral or retaining the center of heaviness, a simultaneously the reciprocating motion vertically to the top and down, horizontally to the left and to the right the compressible and decompressible a spirally screwed of a sphere (2005);

A curved, a corrugated space of a dense (packed) wild ball with a feature or the inside out turned with punctured points of the topologically space of a dense (packed) wild ball (2006);

The dense a ball with incised a loxodromic curve or the screw of a loxodrome of a ball continuous mapping of the logarithmic spiral on the Riemann sphere (2006);

The curved space or a moving of geometric bodies on isogonal the trajectories, inside out everted a twisted of the torus (2006);

The carpet is an orchid, a woven of wild braid or a briquettes bouquet, the intertwined from wild Archimedean spirals, wild braids (2007);

Synchronously curving conic sections or continuously rotatable torus bounded by two are deformed cones (2007);

The cobra or from a sheafs of a wild skeleton of a bone of a paintbrush, a spirally - screw intertwined of a braid is leaving to abyss (2007);

A toroidal ring, concentrically embedded cylinders or a set of concentrically a dense embedded cylinders with reciprocating motion forward, closing the toroidal tunnel with cylinders (2008);

A wild skeletal column or an unwinding wild a spiral of sheaf columns of skeleton section (2008);

Geometrization screw telescopic of the hydraulic cylinders-skeletons (2008);

A infinitely enveloped on the surface of the abyss, spirally screwed cylinder with serrated coils or carved from the finite cylinder - a screw spiral with two limbs enveloping the surface of the abyss with uniform traces (2009);

A retraction cone with dissected pyramids or a cone with a uniformly dotted with small pyramnids and continuously retractable and releasable with retraction fulcrum (2009);

Strung together spiral discs or continuously rotatable torus strung with spiral discs (2009);

An infinity sleeve spiral or a diverging spiral with rising and falling center of gravity (2010);

The guillotine or with the opposite rotational direction, moving in space - a convex circular disk with an internal, double, simultaneously of a compressible and decompressible, a spirally screwed with a tree - tricuspid covering (2010);

With rotating motion, covered of the dense (packed) a ball with valvular guillotine or by contacting from the outside in each rotating motion of the dense (packed) a ball, spontaneously are compressable and decompressable the five valvular guillotine (2010);

A dense (packed) of a ball with a spirally screwed, a infinitely curved section or a spirally screw of a sphere with a wide, continuously changing surface with a infinite of turns (2011);

Developing a spiral or tight of ball with the ever-changing labyrinth surface formed spiral (2011);

A screw of the catacomb or a screw of geometric labyrinth, consisting of spiral galareya wild intertwined braids (2011);

A geometric of spirally screwed with pigtails intertwined, a surface labyrinth with a rolling of a balls or a rolling of a balls on a symmetrical Archimedean bundle of a screw spiral with a radially - stubborn, the barrel roll - shaped surface (2012);

The tortuous tunnel of sliding balls or dissected are spheres on undulating planes with sliding balls (2012);

Mirage or crawled spaces with spiral embedded witheach other geometric bodies with a deformation retracts (2012);

A symmetrical, a spirally screwed of a snail with a common folding the partitions in intersections and a twisted needle - cylindrical, the serrated of a ditches or with reciprocating motion of a forward and backward, a compressable and decompressable, a symmetrical, the Archimedean strongly twisted a bundle of tunnels with an inside the radial - thrust, a needle - cylindrical the serrated of a ditches (2013);

The holographic of a disk with a spirally screw sleeve or a flattened of a ball with a spirally screw an infinite of sleeve (2013);

The holographic fractal spinning or snail with infinitely separated segments, convex (non-convex) geometric body in which each slice is invariant and isometric retains holographic structure and form of the least accurate (2013);

A geometric mosaic of a spirally screwed tubular skeletons or with reciprocating motion, a compressable and decompressable over the entire volume of curved space, a bundle of a spirally screwed tubular skeletons with infinitely stratified of a membranous tunnels (2014);

The dense of a ball with dissected a spirally screw a plane of curves "Yin Yang" or a spirally screw of a sphere with the surfas "Yin Yang" (2014);

Reincarnation ( a subtle body with repetitive incarnation ) or wildly embedded bundle of spiral knots with a common origin having extension to the antipodal-absolutes (2014);

The arrhythmia of tubular skeletons, a compressable and decompressable a bundle of a screw spiral or an infinitesimal perturbation of the open abyss of a tubular tunnel - a compressable and decompressable a bundle of a screw spiral (2015);

The pulsating of a polyps or a rhythmically the pulsating movement, a compressible and decompressing disk - like, a spirally screwed are perisarks (2015);

The braided spirally continuum or the intertwined from a curved space - temporal hypersurface, a spirally screwed of the hologram with accuracy up to the division of space - time (2015);

A stretching to the center of the turns, a screw spiral with a membranous perisark or a dense twisting a stretching to the pole, a screw spiral with flatwise a membranous sleeves (2016);

Webbed spiral or translational a lunar step spiral curls (2016);

Wild perisark or translationally compressible and decompressible the bundle screw tubular skeletions (2016);

Cochlear wild perisark with a particularity and singularity (2017);

Eye of singularity or hyper-singularity of pathological (wild) holographic knots and braids (2017);

Compression and decompression with displacement or displacement of the geometric bodies, compressible to the starting point on the curve with its antipode decompressible from the starting point, forming an embedding of concentric discs (2017);

The spiral a screw funnel or infinite strongly contracting of pathological (wild) braids, interwined from the pathological (wild) knots to the border of the funnel at its center forming a an infinitely strong bending down to zero dimension (2017);

A convex, flattened circular disk with a descending left or right downwards with a curved curve, an arc - shaped tail with a length two and a half times longer than the lengths of the diameter of a convex, flattened circular disk that do not intersect in a symmetrical pair (2018);

Geometrical, spirally vortex pattern of two or more, strongly tightly twisted in a clockwise or counterclockwise direction branches or sleeves emerging from the center of the corpuscle of flattened one - sheeted hyperboloid, tightly compressed rotating around the nucleus along corresponding directions (2018);

Geometric talisman of eternal divine love, or geometric body in the shape of three nines (with palindromes bodies) and in the shape of three sixes (with a critical number of chaos) forming in combination a pair of symmetric, non - intersecting with each other in the form of " Yin Yang " surface of the body, knotted trefoil or clover punctured through a local point, intertwined braids with the remaining parts (2018);

The geometry of the space-time continuum or the cyclic screw spiral of an infinitely deformed continuum in the presence of the form of energy in the form of a bodily mass (2018);

Extremely moving along the whole directions of the space of the prefiguration of the Archimedes screw spiral or furrowing in all directions of space a one-piece snail rod with a solid screw surface along the longitudinal axis of symmetry (2019);

In the spiral space, extremely moving, pairwise disjoint solid snail rods with opposite screwed cuts on the outside or in the spiral space moving curves inclined, pairwise disjoint with opposite directions wrapped on solid cones (2019);

Limit joint rotation of two Archimedean screw spirals with opposite direction separated from the center point of the contraction or diametrically stretched three-dimensional torus consisting of glued Mobius band rings with a finite ( or transcendent) number of twists (2019);

Fruncated geometric bodies with three mutually perpendicular axes, locally moving along a curve of a line or a fractal mosaic of geometric bodies embedded on each other (2019);

The geometry of the absolute vortex gravitational structure or the spirally a screwed of a disk is logarithmically extending from the central spherical thickening of the vortex branches a compressable to the side of twisting and decompressable to the side of untwisting (2020);

The intertwined spiderweb of stratified curved planes with vortex torsion or the vortex fractal points with spirally screw spheroidal twisted nucleus (2020);

The arachnoid skeletons with spirally screw flap ditches or a woven hollow tubular skeletons, spirally screwed retracted into themselves hand bodies (2020);

A locally moving on a screw spiral a billiard ball or along a screw spiral is an infinite and without rupture sprawlingly two-dimensional space representing a rubber tensioned plane with a billiard ball (2020);

The geometry of infinite dense bodies or the measure of chaos of truncated geometric bodies with three mutually perpendicular axes tending along a screw spiral to zero dimension (2020);

Weave with helical torsion or weave with helical torsion, uniformly compressed in the direction of the central axis along a circular quadrant (2021);

Embedding with concentric weave or toroidal braid is infinitely embedded into itself with concentric movements (2021);

Interweaving a ball-shaped bundles of curves extending beyond the limit point or interweaving along a circular perimeter with the intersection of all curved lines of a ball-shaped bundles, tending to an absolute point (2021);

A ball-shaped bundle game of three-dimensional geometric bodies or illusion distorting the appearances of a ball-shaped bundle of a three-dimensional geometric body with an inverted mirror image in mutually perpendicular planes, stretched in radiant vectors (2022);

A run with three-dimensional balls or hemispherical bells expanding from concentrically nested spherical neighborhoods of a three-dimensional ball with vertically spiral grooves in the interior, in which randomly moving three-dimensional balls upon deformation of the bell create an even and odd ordered order (2022);

The ghostly eye of labyrinthine bodies or vertically carved spiral bodies looming through the labyrinths from three-dimensional solid balls (2022);

Sewing along the circular perimeter of the spherical, helical minimum surface of the spiral or along the circular perimeter of the spherical, helical minimum surface of the spiral, tightly fitting and tightened at a punctured point - the Euclidean square plane (2023);

They are introduced new notions and definitions as: "pathological (wild) figures (1987)","the carpet, woven from the "Yin Yang" - skeletal knot with vibrational properties (1987)","the dense of a ball, wildly intertwined with the "Yin Yang" by skeletal knots (1987)","the spirally screw, a folding of the geometric labyrinth (1987)","the rolling down a tight ball with a double, incised with a sliding bottom (1988)","the jumping up and down of a tight (the beaten) the ball (1988)","the shalnaya of a sphere with punctured at points (1988)", "pathological (wild) spaces (1989)","traces of geometrical images of bodies (1989)","a uniformly, strongly is flattened circular edges, vertiginous the spiral a screw of spheroid (1989)","the spear with two pointed ends, spanned on wild skeletal braids (1989)","a dense the circular disk with oppositely a rotating of half - disks (1990)","a dense (packed) the ball with oppositely a rotating with hemisphere (1990)","the concentric embedding the toroidal of cylinders (1990)","the Archimedean a spiral with the mirrored reflection of the turns of through deleted points, the inside out everted of a sphere (1991)","the wild a braid of a wild spheres are intertwined of bundles of the Archimedean spirals (1991)","with the rotating movement of rolling down is a dense (packed) the ball of a wild sphere (1991)","the dense (the beaten) sliding of a disc with its a mirror image in a closed of the ring (1992)","the dense (packed) of the ball with his a mirror image in paradromic rings (1992)","the dense of a geometric body in when coiled infinity in a ring (1992)","the screw of spiral with the infinite of the turms (1993)","the continuously rotatable of a ball (1993)","a closed, the spirally of the screw of the torus with a " Yin Yang " - skeletal of a sphere (1993)","the snake quaffed its tail (1994)","bordering of into the ring of shadoof of fiocks (1994)","a closed of the torus with a center in a sheafs the Archimedean of spirals, each the tunnel of a sleeve is a connected to each other by membranes (1994)","the shimmering of an eye (1995)","a cochlear of a spiral (1995)","the pulsating a ball of braids (1995)","enveloping the thorny of ball (1996)","flattened coil with two by convex discs (1996)","the rolling out the balls out of the tunnel sleeves of a sheafs the Archimedean of a spiral (1996)","a raging a fiery of ring (1997)","wild yataghan (1997)","the moving with a reciprocating motion on the surface of the screw spiral, a closed circle with a rotating ball around himself (1997);"the screw infinite a tunnel (1998)","furrowing the ball with double labyrinth bottoms (1998)","a guiding whirlwind trail of a spiral screw sphere (1998)","a compressible stars with special particularity (1999)","geometrization of the screw surface of curves of geometric bodies (1999)","a geometric screw spiral with a guiding tunnel (1999)","starhedron (2000)", "startop (2000)", "a wild of a membrane (2000)", "the roofing a slate (2000)","the space of infinitely strongly curved traces of geometric bodies (2000)", "the topological corrugated of a dense (packed) ball (2001)","geometric star body (2001)", "pathological (wild) skeletons (2001)", "the isogonal a trajectory of bundle of wild knots (2001)","the vortex of a fractal (2001)","the bundle of a screw spiral with a corrugated membranes (2002)","pathological (wild) cushions (2002)","a wild torsional spiral knot (2002)", "a strongly flattened one - sheeted hyperboloid with zero angular coefficient (2003)", "the rotating winding of braids around the geometric body (2003)","infinite vortex spiral (2003)","the topological a spirally screw of a sphere with a pinnately acicular of surface (2004)","wild scaly ball (2004)","continuous infinity (2004)","the corrugated spirally screw of a sphere with a vortex of a coils (2005)","periodic spiral (2005)","the wandeping of a spiral (2005)","a curved, corrugated space of a dense (packed) wild ball with a feature (2006)", "the dense a ball with incised a loxodromic curve (2006)","the curved space (2006)","the carpet is an orchid, a woven of wild braid (2007)","the cobra (2007)","synchronously curving conic sections (2007)","star space (2007)", "cobraidal and starhedral knots and braids (2007)","a toroidal ring, the concentrically embedded cylinders (2008)", "a wild skeletal column (2008)","geometrization screw telescopic of the hydraulic cylinders-skeletons (2008)","a infinitely enveloped on the surface of the abyss, a spirally screwed cylinder with the serrated of a coils (2009)","a retraction cone with dissected pyramids (2009)","strung together spiral discs (2009)","pathological (wild) knots and braids (2009)",an infinite sleeve spiral (2010)","the guilotine (2010)", "pathological (wild) spiral disks (2010)", "with rotating motion, covered of the dense (packed) a ball with valvular guillotine (2010)","a dense (packed) of a ball with a spirally screwed the infinitely curved a section (2011)","developing a spiral (2011)","a screw of the catacomb (2011)","a geometric of a spirally screwed with pigtails the intertwined a surface labyrinth with a rolling of a balls (2012)","the tortuous tunnel of sliding balls (2012)","mirage (2012)","a symmetrical, a spirally screwed of a snail with a common folding the partitions in intersections and the twisted a needle - cylindrical, the serrated of a ditches (2013)","the holographic of a disk with a spirally screw sleeve (2013)","holographic fractal spinning (2013)","a geometric mosaic of a spirally screwed tubular skeletons (2014)","the dense of a ball with dissected a spirally screw plane of curves "Yin Yang" (2014)","reincarnation (2014)","the arrhythmia of tubular skeletons, a compressable and decompressable a bundle of a screw spiral (2015)","coral space (2015)", "the pulsating of a polyps (2015)","the braided spirally continuum (2015)","a stretching to the center of the turns, a screw spiral with a membranous perisark (2016)","a lunar step spiral curls (2016)", "a wild perisark (2016)","cochlear wild perisark with a particularity and singularity (2017)","eye of singularity (2017)","compression and decompression with displacement (2017)","the spiral a screw funnel (2017)", "a convex, flattened circular disk with a descending left or right downwards with an arc - shaped of tail (2018)", "geometrical, spirally vortex pattern of two or more of branches or sleeves (2018)", "geometric talisman of eternal divine love (2018)","the geometry of the space-time continuum (2018)", "extremely moving along the whole directions of the space of the prefiguration of the Archimedes screw spiral (2019)","in the spiral space, extremely moving, pairwise disjoint solid snail rods with opposite screwed cuts on the outside (2019)","limit joint rotation of two Archimedean screw spiral with opposite direction separated from the center point of the contraction (2019)","a fractal mosaic of geometric bodies embedded on each other (2019)","the geometry of the absolute vortex gravitational structure (2020)","the intertwined spiderweb of stratified curved planes with vortex torsion (2020)","the arachnoid skeletons with spirally screw flap ditches (2020)","a locally moving on a screw spiral a billiard ball (2020)","the geometry of infinite dense bodies (2020)","weave with helical torsion (2021)","embedding with concentric weave (2021)","interweaving a ball-shaped bundles of curves extending to beyond the limit point (2021)","a ball-shaped bundle game of three-dimensional geometric bodies (2022)","a run with three-dimensional balls (2022)","the ghostly eye of labyrinthine bodies (2022)","a sewing along the circular perimeter of the spherical, helical minimum surface of the spiral (2023)",

Main publications:

U. Abdymanapov, “Retracts and extensors of M3 - space, or of a stratifiable space of Carlos J.R.Borges”, MFUA Bulletin, 2015, no. 2, 8 - 28
U. Abdymanapov, “Topology of geometric star bodies and hyperboloids”, International Journal of Pure and Applied Mathematics, 114:2 (2017), 371 - 388
U.Abdymanapov, “Geometry of absolut (wild) knots and absolut (wild) braids in three - dimensional spiderweb space”, International research journal, 1:1(103) (2021), 6 - 22
U.Abdymanapov, “Surgery by William Paul Thurston in the glued space of star geometric bodies in three or more dimensions”, Eurasian Union of Scientists, 1:2(105) (2023), 13 - 34
U.Abdymanapov, “Shifer method in the space of star geometric bodies in three or more dimensions”, National Association of Scientists, 3:89 (2023), 55 - 66

Publications in Math-Net.Ru