Given the side a, draw the following regular polygons:
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1 Given the side a, draw the following regular polygons: Equilateral triangle Square a a Pentagon Hexagon a a Heptagon Octagon a a 1-Polygons construction given the side
2 Given the radius of the circumscribed circle a: Draw a regular polygon with n (13) sides: a Given the side a, draw a regular polygon with n (9): a a 2- Any number of sides polygons construction
3 Pentagon: Join vertices skipping 1 circumference division Heptagon: Join vertices skipping 1 and 2 circumference divisions Hendecagon (11-sided):Join vertices skipping 1, 2, 3 and 4 circumference divisions 3- Star Poligons
4 Tangent lines through to a circle through a outer point Outer tangent lines to two circles Inner tangent lines to two circles 4- Tangent Lines: point-circle/ circle-circle
5 Link the points with arcs: TANGENCIES: LINKED CIRCLE ARCS
6 Oval construction given its major axis Oval construction given its minor axis Oval construction inscribed in an isometric box 6- Oval constructions
7 Trace the symmetric polygon about the given symmetry axis Trace the hexagon symmetry axes. Given the AB segment and a symmetric point A'. Draw the symmetry axis, complete with a third point C and C' two symmetric triangles and find the double point DD' belonging to the line cointained by segment AB and its symmetric. Trace the symmetric quadrilateral and highlight or enhance the double points. A A' B Draw the symmetric polygon around the given symmetry center. Draw the symmetric polygon around the given symmetry center. 7- Geometric transformations: SYMMETRY
8 Translate the line r applying it the given translation vector. Translate the polygon applying it the given translation vector. Turn the segment AB 90º in positive direction around the given, apply the translation vector to the result. Turn the rectangle 120º in positive direction around the given center. A B Turn the triangle 135º in positive direction around the given center. Turn in positive direction the given polygon 180º around the given center. 8- Geometric transformations: ROTATION AND TRASLATION
9 GIVEN THE POLYGON ABCDE, COPY IT FROM A': By triangulation E C D A B A' GIVEN THE QUADRILATERAL ABCD, COPY IT FROM A': By angles and segments copying. B C A D A' GIVEN THE POLYGON ABCDEF, COPY IT FROM A', : By radiation, WITH THE GIVEN CENTERS O and O'. By radiation C B D O O' F A E GIVEN THE POLYGON ABCD, COPY IT FROM O': By Coordinates B C D O A O 9-POLYGONS COPYING
10 Design a tile in order to create your own friezes designs. Design different modules for each type of frieze and follow the patterns given to repeat each module originating the frieze. Each "F" module pattern represents a scheme for a group of symmetry. Translations frieze. Translations and horizontal reflexions frieze. Translation and vertical reflexions frieze. 10- FRIEZES TYPES 1
11 Design a tile in order to create your own friezes designs. Design different tiles for each type of frieze and follow the patterns given to repeat each module originating the frieze. Each "F" module pattern represents a scheme for a group of symmetry. Translations and glide reflexions frieze. Translations, 180º rotations and horizontal simmetries frieze. Translations and 180º rotations frieze.; Translations,vertical simmetry and glide reflections; 11- FRIEZES TYPES 2
12 WATCH OUT!!: This solid contains hiden edges in some of its views. You must depict them with discontinous lines. 12- Multiview projections of solids 3
13 WATCH OUT!!: This solid contains hiden edges in some of its views. You must depict them with discontinous lines. 13- Multiview Projections of solids 4
14 WATCH OUT!!: This solid contains hiden edges in some of its views. You must depict them with discontinous lines. 14- Multiview projections of solids 5
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16 16- Buildings 2: From multiview projections to Isometric.
17 17- Buildings 3: From multiview projections to Isometric.
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