HI, this one is completely different from any you´have seen before. The Secant formula is hypercomplex to use Jim´s expression and hopefully there is a lot to explore. ; https://www.dropbox.com/sh/izchiknho9b9v5u/AACXMZ4QBO4E38gfL7jZXCMua?dl=0 ; Albrecht ; -------------start par----------------------------------------------------- 10708-03 { ; Pointillistic Fantasy ; Secant-Newton-Magnet ; 0.01.24.26 1280/1024 ; reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/sinh/exp/sin passes=t center-mag=+0.55409211566866200/-0.59767897965828100/35.94459/1/137.4999\ 99999999972/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/10708.64595701711/14235.4\ 911280602/182048.0404808025/384.1000694022/120.00482000595/128.100768300\ 1/194.1007683001/768.20051200256 float=y maxiter=3071 inside=maxiter logmap=13 periodicity=0 rseed=-2436 colors=000811FbDRiPGTIL_Ewn4cU7IKTCU_HNNRDXFv`soR6DuZlKcp_57UEKbdqHf8fZX\ Vdp3suY57RKbt4GF5Gu9NaaHxLeJwbc7amMC`2dhxQAya25Q2dJ_AG8SGHLQ2VOQ5gHEYwzu\ 0fcu35uDniDZZynt71bHgImjLpmQ7l1Tri7b0L6f`vZ01jAsgiPSbh2Qt53pVkwbluQWYXBv\ g2BcwaXBlWwkl1YmJcAKeKcAVYmJ20t3UFttUlp4cKzJUCsDEA8STzeOOlxwGmD9O7X1bcnN\ B1jQNoq2Ofx`ZTL6Of7hE_GMudiyCgoOtOqiQ5Tf``bpRYbdzCq5LaOnfCEYq_xwp3P7utuX\ ih07QCErKAHoJpAeMUbE542RcYyjWjczlFx4cYZ62KtyAqN7ffWKC7YfVJZ19lDWklK64ofF\ OIioIrvMVJQsKkf5Dcbc6lTYnGoQXQSfC_AwOj2_hHpiRDLZ8j5WyAQY65BxcqKJs`8BSx3z\ KuDRKo9VEkJsj2Iyw04SrmY_RbxaqfYrPvvMa5Qozc6Ec5WOfA8NU30NOqT_IfIS3QN`ja80\ _HkHGefEj7uwb_KCsMrjjNHzYqm3zB2zaRz3Yke4cmwECTpzd6sy_nfn97TNWgZGMlzoi0QR\ U4gflEahMPzLVwCYgZQOXp_QvPoweRjtg8j1h_Ws0lQlTv1_QETs`lxQIN5MjCHg6jnV_XQ2\ lLoVy8KfDmtoDSh_drkYEQ7JOJAO1FUqGrV_1I92OnoYYXbxyaeVM8n }