When the above figures are painted, these are shown in the followings.
In purpose to calculate the numerical coordinates data of a heart curve as shown in Figs.1 to 12, a C++ program originated from Eqs.(1) and (2) is given by . By executing the either C++ program, a text file named "heart_curve3.txt" including the calculated data is produced. Each interval of these data is divided by 'comma'. After moving these calculated data into an Excel file, we obtain a heart curve with the use of a graph wizard attached on the Excel file.

2. Method 2
The following two equations are considered corresponding to Eqs.(1) and (2).
, (3)
and
,
(4)
where .
When the intermediate variable varies in the range of , the curves which Eqs.(3) and (4) display are shown in the following figures.
