User:Aldoaldoz

Babel user information
it-N Questo utente può contribuire con un livello madrelingua in italiano. en-2 This user has intermediate knowledge of English. es-2 Este usuario tiene un conocimiento intermedio del español.
Users by language

The real end of science is the honor of the human mind

— Carl Jacobi

Where you can find me...

... with the same nickname:

• - Wikipedia IT
• - Wikipedia EN
• - Youtube : Chaos theory - Langton's ant - Polygons construction - Working model of Eudoxus's Homocentric Spheres

My works

My works are mostly created writing programs that write bitmaps to disk, and then converted to animated gifs.

If you need some specific animation (may be I'm not able to do it...) simply ask! :-)

Classical geometry

• Classical compass
• Classical ruler
• Euclid Elements Book 1 Proposition 3
• Euclid Elements Book 2 Proposition 5
• Euclid Elements Book 3 Proposition 35 part a
• Euclid Elements Book 3 Proposition 35 part b
• Euclid Elements Book 3 Proposition 35 part c

• Ptolemy's theorem
• Relations between center angle, the interior angle and the exterior angle in regular polygons
• A rect angle inscribed in a circle always subtend a circle diameter

• Euclid's Tetrahedron construction: part 1, 2, 3, 4, 5
• Euclid's Octahedron construction: part 1, 2
• Euclid's Dodecahedron construction: part 1, 2
• Euclid's Icosahedron construction: part 1, 2, 3

Regular Polygons Construction (showing animated straightedge and compass)

• Drawing of an equilateral Triangle inscribed in a circle

• Drawing of a stright Square inscribed in a circle
• Drawing of a skewed Square inscribed in a circle

• Drawing of a regular Pentagon inscribed in a circle
• Drawing of a regular Hexagon inscribed in a circle

• Drawing of an approximated Heptagon inscribed in a circle
• Drawing of an upright approximated Heptagon inscribed in a circle

• Drawing of a regular Octagon inscribed in a circle
• Drawing of an approximated Nonagon inscribed in a circle
• Drawing of a regular Decagon inscribed in a circle

• Drawing of an approximated Hendecagon inscribed in a circle
• Drawing of a regular Dodecagon inscribed in a circle
• Drawing of an approximated Tridecagon inscribed in a circle
• Drawing of an approximated Tetradecagon inscribed in a circle

• Drawing of a regular Pentadecagon inscribed in a circle
• Drawing of a regular Hexadecagon inscribed in a circle
• Drawing of a regular Heptadecagon inscribed in a circle

• Drawing of an approximated Octadecagon inscribed in a circle
• Drawing of an approximated Enneadecagon inscribed in a circle

• Drawing of a regular Icosagon inscribed in a circle

• Drawing of a regular 34-gon inscribed in a circle
• Drawing of a regular 51-gon inscribed in a circle
• Drawing of a regular 85-gon inscribed in a circle
• Drawing of a regular 255-gon inscribed in a circle

Carlyle Circle and its use

• Carlyle Circle: first case
• Carlyle Circle: second case

• Regular Pentagon Cosntruction (theory)
• Regular Pentagon Construction (animation)
• Regular Heptadecagon Construction (animation)
• Regular 257-gon Construction (animation)
• Regular 65537-gon First Construction Step (animation)

Polygonal Numbers

• Triangular numbers
• Square numbers
• Pentagonal numbers
• Hexagonal numbers

Lorenzo Mascheroni's Compass Geometry

• Mascheroni's fixed compasses
• Construcion of a: Square, Pentagon, Hexagon, Octagon, 24-gon, 120-gon
• Applying a distance on a line
• Projecting a point over a line
• Drawing of a parallel line
• Bisections: Standard method, Line bisection, Arc bisection
• Intersecions: Line-circle, Line-line
• Find the fourth proportional to three segments
• Finding the center of a circle: Mascheroni's method, Alternative method