MCP App Store
by KeenEthics
Opterio icon

Opterio

By I Done Study LLC

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Overview

Opterio works the optics math on the ABO and NCLE optician exams, one step at a time. Ask about a prescription or a frame and Opterio runs the calculation, shows every step, points out the trap the exam likes to set, and rounds to the nearest quarter diopter where that matters. Twelve calculators: - Transposition: move a prescription between plus- and minus-cylinder form. - Spherical equivalent: sphere plus half the cylinder, naming both quarter steps when the result lands halfway. - Vertex distance: compensate a prescription for a change in vertex distance, one meridian at a time, for example from glasses to contact lenses. - Prentice's rule: induced prism and its base direction when the eye looks away from the optical center, for spheres and sphero-cylinders. - Lens thickness: edge or center thickness from power, index and diameter, compared across common lens materials. - Minimum blank size: the smallest lens blank a frame needs, from its effective diameter, eye size, bridge and the patient's PD. - Base curve: Vogel's estimate of the front curve for a prescription, halving the spherical equivalent first for a minus lens. - Lens power: the power from the front and back curves, with back vertex power for a thick lens and lens clock readings converted for the material. - Prism resolver: horizontal and vertical prism combined into one resultant prism in 360-degree notation, or one prism split back into its parts. - RGP fitting: a GP contact lens power from the K readings, the glasses prescription and the base curve, with the tear lens and any residual astigmatism. - Near PD: the reading PD from the distance PD and the reading distance, with the three-quarter rule. - Effective diameter: twice the longest radius from the boxing center, or an estimate from the frame box and how rounded the corners are. Every answer comes with a card that shows the result and the working. Open it full screen to change any number and watch the answer update, see the diagram, and try an exam-style practice problem. Answers come in English, Spanish, French, Chinese, Tagalog, Vietnamese or Korean, following the language you write in. Opterio is for study and for checking your own working. It isn't a prescribing tool and doesn't replace a clinician's judgment. There's no account to create, and the calculators don't save what you enter.

Tools

base_curve

ChatGPT
Estimate a spectacle lens base curve (the front surface power) with Vogel's formula, as taught for the ABO exam: spherical equivalent + 6.00 D for a plus lens, spherical equivalent / 2 + 6.00 D for a minus lens, with the nearest half diopter and the steps. An estimate for study; a lab uses the manufacturer's chart. Its card shows the learner the answer and every step, so after calling it don't restate them. Reply with one short sentence that suggests a next step instead, such as a related calculation to try or asking why a step works, unless the learner asks for more.

effective_diameter

ChatGPT
Work out a frame's effective diameter (ED): twice the longest radius from the lens's boxing center to the farthest point of its edge. Give that radius for the exact ED, or the box (eye size A and height B) and how rounded the corners are for an estimate, which always falls between the longer box side and the box diagonal. Decentration is not part of ED; it's added in minimum blank size. Its card shows the learner the answer and every step, so after calling it don't restate them. Reply with one short sentence that suggests a next step instead, such as a related calculation to try or asking why a step works, unless the learner asks for more.

lens_power

ChatGPT
Work out a spectacle lens power from its front (base) and back surface curves: nominal power F1 + F2, and, given the center thickness and material, the back vertex power F1 / (1 - t/n x F1) + F2. Converts lens clock readings with (n - 1) / (calibration - 1) when the curves came from a lens clock. For optician exam study, with the steps. Its card shows the learner the answer and every step, so after calling it don't restate them. Reply with one short sentence that suggests a next step instead, such as a related calculation to try or asking why a step works, unless the learner asks for more.

lens_thickness

ChatGPT
Estimate the edge thickness of a minus lens or the center thickness of a plus lens from power, material index and diameter with the sag formula (lens treated as flat on one side, the usual exam simplification), and compare lens materials. Its card shows the learner the answer and every step, so after calling it don't restate them. Reply with one short sentence that suggests a next step instead, such as a related calculation to try or asking why a step works, unless the learner asks for more.

minimum_blank_size

ChatGPT
Work out the minimum lens blank size for a frame: MBS = ED + (frame PD - patient PD) + 2 mm, where frame PD = A + DBL. Shows each lens’s decentration and the steps. Its card shows the learner the answer and every step, so after calling it don't restate them. Reply with one short sentence that suggests a next step instead, such as a related calculation to try or asking why a step works, unless the learner asks for more.

near_pd

ChatGPT
Estimate a near (reading) PD from the distance PD and the reading distance with Gerstman's three-quarter rule: each lens insets 0.75 mm per diopter of dioptric demand (1 / reading distance in m), near PD = distance PD - 2 x inset. Also gives the inset table's figure. For reading glasses and bifocal segment inset, as taught for the ABO. Its card shows the learner the answer and every step, so after calling it don't restate them. Reply with one short sentence that suggests a next step instead, such as a related calculation to try or asking why a step works, unless the learner asks for more.

prentices_rule

ChatGPT
Work out induced prism and base direction with Prentice's rule (prism = decentration in cm x power in that meridian) when the eye looks away from the optical center. Handles plus, minus and sphero-cylinder lenses, with steps. Its card shows the learner the answer and every step, so after calling it don't restate them. Reply with one short sentence that suggests a next step instead, such as a related calculation to try or asking why a step works, unless the learner asks for more.

prism_resolver

ChatGPT
Combine a horizontal and a vertical prism on one lens into the single resultant prism (R = sqrt(H^2 + V^2), base at arctan(V/H)) in 360-degree notation, or resolve a prism at a base angle back into horizontal and vertical parts. Degrees are read facing the wearer: base in is 0 on a right lens and 180 on a left one. Give horizontal/vertical prisms to combine, or prism and base_angle to resolve. Its card shows the learner the answer and every step, so after calling it don't restate them. Reply with one short sentence that suggests a next step instead, such as a related calculation to try or asking why a step works, unless the learner asks for more.

rgp_fitting

ChatGPT
Work out a spherical GP (RGP) contact lens power for the NCLE from the K readings, the spectacle Rx and the base curve: tear lens = base curve (D) - flat K, lens power = Rx sphere (minus cylinder, moved to the cornea when over 4.00 D) - tear lens (SAM-FAP), plus the residual astigmatism left over. Base curves convert with 337.5 / r. For study and checking working: it doesn't fit or prescribe contact lenses, which needs an eye care professional, so if someone asks about their own lenses, use your one-sentence reply to say that. Its card shows the learner the answer and every step, so after calling it don't restate them. Reply with one short sentence that suggests a next step instead, such as a related calculation to try or asking why a step works, unless the learner asks for more.

spherical_equivalent

ChatGPT
Work out the spherical equivalent of a sphero-cylinder prescription (sphere plus half the cylinder), with the steps and the nearest quarter-diopter powers. For optician and contact lens exam study. Its card shows the learner the answer and every step, so after calling it don't restate them. Reply with one short sentence that suggests a next step instead, such as a related calculation to try or asking why a step works, unless the learner asks for more.

transposition

ChatGPT
Transpose a spectacle prescription between plus- and minus-cylinder form, the way the ABO and NCLE optician exams teach it, with each step shown. Use for optician study or checking a transposition, not for prescribing. Its card shows the learner the answer and every step, so after calling it don't restate them. Reply with one short sentence that suggests a next step instead, such as a related calculation to try or asking why a step works, unless the learner asks for more.

vertex_distance

ChatGPT
Optician exam math (ABO and NCLE): compensate a prescription for a change in vertex distance, for example the power a lens worn at 12 mm needs at the cornea (0 mm), using Fc = F / (1 - dF) one principal meridian at a time. Shows the exact and nearest-quarter results with steps. For study and checking working: it doesn't write a contact lens prescription, which needs a fitting by an eye care professional, so if someone asks about their own contact lenses, use your one-sentence reply to say that. Its card shows the learner the answer and every step, so after calling it don't restate them. Reply with one short sentence that suggests a next step instead, such as a related calculation to try or asking why a step works, unless the learner asks for more.

Capabilities

Interactive

Example Prompts

Click any prompt to copy it.

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