Left top - Take an octagon
Left middle - Cut one of the sides, say the bottom
Left bottom - Make the pattern at the bottom by rotating the cut octagon by 135 deg eight times.
Right - Four of the "octagonal hRidayakamalams" are joined to get this pattern, further decorated with lamps and a flower. If you try to join four hRidayakamalams this is how the pattern will look like.
Enjoy! Regards - mOhana
I gave a display of the real hridayakamalam the other day which was obtained by successively rotating the motifs by 135 deg. Suppose they are rotated by 225 deg (360 - 135), what we get is not the mirror image of the previous one, but an entirely different pattern that is shown here. For comparison, the earlier pattern too is shown in the inset. Enjoy!
Regards1 - mOhana
Left top - A textbook picture of a human heart
Left middle - Around that a red outline is drawn to get the heart shape
Left bottom - Even though people use dots to create the hridayakamalam, it is only approximate. What one does is - take the outline, successively rotate by 135 degrees and join. When eight of these are joined we come back to the starting motif (135 deg x = 8 = 1080 deg = 360 deg x 3). This is the mathematics behind such patterns.
Right - A hridayakamalam created in such a way with a lamp at the centre is shown.
Enjoy! Regards! - mOhana
Old Wine in a new bottle, but what a beautiful bottle!
From the top left -
1. Take a regular pentagon.
2. Cut the bottom to have an "open" pentagon (Well our Pentagon is always closed 
3. Form a cross shaped pattern with this and its symmetry mates obtained by rotations of 90, 180 and 270 deg.
4. Form a single line pattern as shown at the bottom.
A square formed with the bottom left pattern is shown on the right.
No of lines - 2, Symmetry - 422 (90 deg rotn about the vertical and four 180 deg rotn in the plane)
Don't you like this? Enjoy! Regards! - mOhana
This type of design is quite common on the doors and walls of mosques and mansions. This elegant design is quite smooth, intricate and flowing. The eight cornered star is surrounded by four five cornered stars. I first made one square design and built the rest. The overall symmetry is 422. Enjoy!
Regards! - mOhana
The figure is self explanatory.
Left top - A hexagon (not regular) is chosen, long along the vertical.
Left middle - More vertical hexagons are added to this.
Left bottom - One set of vertical hexagons is superimposed on another horizontal set that is obtained by rotating the above by 90 deg
Right - More such figures are added to obtain this pattern.
Symmetry - 222 (Three mutually perpendicular 180 deg rotations)
This has green pentagons running along the vertical and the reed pentagons running along the horizontal. This type of arrangement will be very nice for tiling the floor.
Note: Those who stay in the middle east, please go around and enjoy the unique Islamic architecture. Symmetrical patterns and calligraphy are like a representation of God to the Muslims.
Regards! - mOhana
Dots - 3, 7, 11, 11, 11, 7, 3
Number of lines - 2
Actually the pattern ends with the yellow and purple lines. The extensions are shown by the red and cyan colours
Symmetry - 222 (Three mutually perpendicular two-fold axes or 180 deg rotations)
Remarks - (1) This too has bearing on the problem I posed in the cafe section. (2) This pattern will be really nice when drawn in the pUjA room or on a wooden slab.
Regards! - mOhana
Happy Halloween, the day of ghosts and goblins , tricks and treats, merriment and gaiety! Enjoy!
Regards! - mOhana
