Valentine's Day Heart Curve

GeoGebra Commands & Parameters

1. coeur(A, B) → c, d, poly1
2. coeur(E, F) → e, f, poly2
3. coeur(G_8, H) → g, h, poly3
4. coeur(I, J) → k_{14}, p, poly4
5. coeur(K, L) → q, r, poly5
6. coeur(M, N) → s, t_{13}, poly6
7. coeur(A_1, B_1) → c_1, d_1, poly7
8. coeur(C_1, D_1) → e_1, f_1, poly8
9. coeur(E_1, F_1) → g_1, h_1, poly9
10. coeur(G_1, H_1) → k_1, p_1, poly10
11. coeur(I_1, J_1) → q_1, r_1, poly11
12. coeur(O, P) → s_1, t_1, poly12
13. coeur(Q, R) → c_2, d_2, poly13
14. coeur(S, T) → e_2, f_2, poly14
15. coeur(U, V) → g_2, h_2, poly15
16. coeur(W, Z) → k_2, p_2, poly16
17. coeur(K_1, L_1) → q_2, r_2, poly17
18. coeur(M_1, N_1) → s_2, t_2, poly18
19. coeur(O_1, P_1) → c_3, d_3, poly19
20. coeur(Q_1, R_1) → e_3, f_3, poly20
21. coeur(S_1, T_1) → g_3, h_3, poly21
22. coeur(U_1, V_1) → k_3, p_3, poly22
23. coeur(W_1, Z_1) → q_3, r_3, poly23
24. coeur(A_2, B_2) → s_3, t_3, poly24
25. coeur(C_2, D_2) → c_4, d_4, poly25
26. coeur(E_2, F_2) → e_4, f_4, poly26
27. coeur(G_2, H_2) → g_4, h_4, poly27
28. coeur(I_2, J_2) → k_4, p_4, poly28
29. coeur(Q_2, R_2) → q_4, r_4, poly29
30. coeur(K_2, L_2) → s_4, t_4, poly30
31. coeur(M_2, N_2) → c_5, d_5, poly31
32. coeur(O_2, P_2) → e_5, f_5, poly32
33. coeur(U_2, V_2) → g_5, h_5, poly33
34. coeur(S_2, T_2) → k_5, p_5, poly34
35. coeur(A_3, B_3) → s_5, t_5, poly36
36. coeur(E_3, F_3) → c_6, d_6, poly37
37. coeur(C_3, D_3) → e_6, f_6, poly38
38. coeur(G_3, H_3) → g_6, h_6, poly39
39. coeur(I_3, J_3) → k_6, p_6, poly40
40. If(t ≤ 20, ((t * 18))°, 0°) → m8
41. Rotate(E, m8, C) → E'
42. Rotate(F, m8, C) → F'
43. coeur(E', F') → q_6, r_6, poly41
44. coeur(I_2, J_2) → s_6, t_6, poly42
45. Rotate(I_2, m8, N_3) → K_3
46. Rotate(J_2, m8, N_3) → L_3
47. coeur(K_3, L_3) → c_7, d_7, poly43
48. Rotate(Z, (-m8), D) → Z'_1
49. Rotate(W, (-m8), D) → W'_1
50. coeur(Z'_1, W'_1) → e_7, f_7, poly44
51. Rotate(P_1, (-m8), O_3) → P_3
52. Rotate(O_1, (-m8), O_3) → Q_3
53. coeur(P_3, Q_3) → g_7, h_7, poly45
54. Rotate(G_8, m8, R_3) → G'_1
55. Rotate(H, m8, R_3) → H'_1
56. coeur(G'_1, H'_1) → k_7, p_7, poly46
57. Rotate(C_1, (-m8), S_3) → T_3
58. Rotate(D_1, (-m8), S_3) → U_3
59. coeur(T_3, U_3) → q_7, r_7, poly47
60. Rotate(H, m8, V_3) → H'
61. Rotate(G_8, m8, V_3) → G'
62. coeur(G', H') → s_7, t_7, poly48
63. Rotate(I, m8, W_3) → I'
64. Rotate(J, m8, W_3) → J'
65. coeur(I', J') → c_8, d_8, poly49
66. Rotate(A_1, m8, A_4) → Z_3
67. Rotate(B_1, m8, A_4) → B_4
68. coeur(Z_3, B_4) → e_8, f_8, poly50
69. Rotate(Z, (-((45° * m8))), C_4) → Z'_2
70. Rotate(W, (-m8), C_4) → W'_2
71. Rotate(Z, (-m8), C_4) → Z'
72. Rotate(W, (-m8), C_4) → W'
73. coeur(W', Z') → q_5, r_5, poly35
74. coeur(W_2, Z_2) → g_8, h_8, poly51
75. Rotate(V, (-m8), D_4) → V'
76. Rotate(U, (-m8), D_4) → U'
77. coeur(U', V') → k_8, p_8, poly52
78. Rotate(S, (-m8), E_4) → S'
79. Rotate(T, (-m8), E_4) → T'
80. coeur(S', T') → q_8, r_8, poly53
81. Rotate(G_2, (-m8), F_4) → G_4
82. Rotate(H_2, (-m8), F_4) → H_4
83. coeur(G_4, H_4) → s_8, t_8, poly54
84. Rotate(O_2, (-m8), I_4) → J_4
85. Rotate(P_2, (-m8), I_4) → K_4
86. coeur(J_4, K_4) → c_9, d_9, poly55
87. Rotate(Q, m8, L_4) → Q'
88. Rotate(R, m8, L_4) → R'
89. coeur(Q', R') → e_9, f_9, poly56
90. Rotate(M_1, (-m8), M_4) → N_4
91. Rotate(N_1, (-m8), M_4) → O_4
92. coeur(N_4, O_4) → g_9, h_9, poly57
93. Rotate(A_2, (-m8), P_4) → Q_4
94. Rotate(B_2, (-m8), P_4) → R_4
95. coeur(Q_4, R_4) → k_9, p_9, poly58
96. Rotate(S_1, (-m8), S_4) → T_4
97. Rotate(T_1, (-m8), S_4) → U_4
98. coeur(T_4, U_4) → q_9, r_9, poly59
99. Rotate(C_2, m8, V_4) → W_4
100. Rotate(D_2, m8, V_4) → Z_4
101. coeur(W_4, Z_4) → s_9, t_9, poly60
102. Rotate(U_1, (-m8), A_5) → B_5
103. Rotate(V_1, (-m8), A_5) → C_5
104. coeur(B_5, C_5) → c_{10}, d_{10}, poly61
105. Rotate(Q_1, m8, D_5) → E_5
106. Rotate(R_1, m8, D_5) → F_5
107. coeur(E_5, F_5) → e_{10}, f_{10}, poly62
108. Rotate(O, m8, G_5) → O'
109. Rotate(P, m8, G_5) → P'
110. coeur(O', P') → g_{10}, h_{10}, poly63
111. Rotate(K_1, m8, H_5) → I_5
112. Rotate(L_1, m8, H_5) → J_5
113. coeur(I_5, J_5) → k_{10}, p_{10}, poly64
114. Rotate(W_1, (-m8), K_5) → L_5
115. Rotate(Z_1, (-m8), K_5) → M_5
116. coeur(L_5, M_5) → q_{10}, r_{10}, poly65
117. Rotate(G_1, (-m8), N_5) → O_5
118. Rotate(H_1, (-m8), N_5) → P_5
119. coeur(O_5, P_5) → s_{10}, t_{10}, poly66
120. Rotate(I_1, m8, Q_5) → R_5
121. Rotate(J_1, m8, Q_5) → S_5
122. coeur(R_5, S_5) → c_{11}, d_{11}, poly67
123. Rotate(E_1, (-m8), T_5) → U_5
124. Rotate(F_1, (-m8), T_5) → V_5
125. coeur(U_5, V_5) → e_{11}, f_{11}, poly68
126. Rotate(M, m8, W_5) → M'
127. Rotate(N, m8, W_5) → N'
128. coeur(M', N') → g_{11}, h_{11}, poly69
129. Rotate(K, (-m8), Z_5) → K'
130. Rotate(L, (-m8), Z_5) → L'
131. coeur(K', L') → k_{11}, p_{11}, poly70
132. Rotate(I_3, (-m8), A_6) → B_6
133. Rotate(J_3, (-m8), A_6) → C_6
134. coeur(B_6, C_6) → q_{11}, r_{11}, poly71
135. Rotate(W_2, m8, D_6) → E_6
136. Rotate(Z_2, m8, D_6) → F_6
137. coeur(E_6, F_6) → s_{11}, t_{11}, poly72
138. Rotate(C_3, m8, G_6) → H_6
139. Rotate(D_3, m8, G_6) → I_6
140. coeur(H_6, I_6) → c_{12}, d_{12}, poly73
141. Rotate(G_3, m8, J_6) → K_6
142. Rotate(H_3, m8, J_6) → L_6
143. coeur(K_6, L_6) → e_{12}, f_{12}, poly74
144. Rotate(A_3, (-m8), M_6) → N_6
145. Rotate(B_3, (-m8), M_6) → O_6
146. coeur(N_6, O_6) → g_{12}, h_{12}, poly75
147. Rotate(Q_2, m8, P_6) → Q_6
148. Rotate(R_2, m8, P_6) → R_6
149. coeur(Q_6, R_6) → k_{12}, p_{12}, poly76
150. Rotate(S_2, m8, S_6) → T_6
151. Rotate(T_2, m8, S_6) → U_6
152. coeur(T_6, U_6) → q_{12}, r_{12}, poly77
153. Rotate(U_2, m8, V_6) → W_6
154. Rotate(V_2, m8, V_6) → Z_6
155. coeur(W_6, Z_6) → s_{12}, t_{12}, poly78
156. Rotate(K_2, m8, A_7) → B_7
157. Rotate(L_2, m8, A_7) → C_7
158. coeur(B_7, C_7) → c_{13}, d_{13}, poly79
159. Rotate(E_2, m8, D_7) → E_7
160. Rotate(F_2, m8, D_7) → F_7
161. coeur(E_7, F_7) → e_{13}, f_{13}, poly80
162. Rotate(M_2, (-m8), G_7) → H_7
163. Rotate(N_2, (-m8), G_7) → I_7
164. coeur(H_7, I_7) → g_{13}, h_{13}, poly81
165. Rotate(E_3, (-m8), J_7) → K_7
166. Rotate(F_3, (-m8), J_7) → L_7
167. coeur(K_7, L_7) → k_{13}, p_{13}, poly82
168. coeur(A, M_7) → q_{13}, r_{13}, poly83
169. Vector(NN, MM) → u
170. CurveCartesian(x(G) + ((10 * tan((k / 100 * α))) * cos(α)), y(G) + ((10 * tan((k / 100 * α))) * sin(α)), α, 0, 180) → b